we can found it by using algebra.This checks out, so we can conclude that Simone has:
4 $100 bills
5 $50 bills
2 $20 bills
9 $10 bills
And the total amount of money she has is indeed $780.Let's start by using algebra to represent the information given in the problem. Let:
x = 20 (Simone has 20 bills in total)
h = x/5 (One fifth of the bills are hundreds)
f = x/4 (One fourth of the bills are fifties)
t = x/10 (One tenth of the bills are twenties)
n = x - h - f - t (The rest of the bills are tens)
We also know that the total amount of money Simone has is $780. We can use this information to write an equation:
100h + 50f + 20t + 10n = 780
Now we can substitute the values we found for h, f, t, and n in terms of x:
100(x/5) + 50(x/4) + 20(x/10) + 10(x - x/5 - x/4 - x/10) = 780
We can see that the number of bills must be a whole number, and therefore x must be a multiple of 20. Let's try assuming that Simone has 20 bills of each denomination, which would give us:
h = x/5 = 4 (4 hundreds)
f = x/4 = 5 (5 fifties)
t = x/10 = 2 (2 twenties)
n = x - h - f - t = 9 (9 tens)
Using these values in the algebraic equation we derived earlier, we get:
100(4) + 50(5) + 20(2) + 10(9) = 780.
Simone has 20 bills. One fifth of the bills are hundreds, 1/4 of them are fifties, 1/10 of them are $20s. The rest of the bills are tens.
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The marks scored by 4 student in mathematics test are as follows Esi=92,Seth=85,Mary=65,Esi=x. 1.Write down an expression for the mean of the marks. If the mean is less than 80, write a linear inequality for the information. 3. Find the possible marks Esi scored in the test.
Answer:
any value of x that satisfies the given conditions (i.e., makes the mean of the marks equal to the given value) is a possible score for Esi in the test. For example, if we want the mean to be 80, we can substitute 80 for Mean in the expression above and solve for x.
Step-by-step explanation:
Expression for the mean of the marks:
The mean of the marks is the sum of all the marks divided by the number of students. So, for this problem, the expression for the mean is:
Mean = (92 + 85 + 65 + x) / 4
Linear inequality for the mean being less than 80:
We can find the mean of the marks using the expression above:
Mean = (92 + 85 + 65 + x) / 4
To write a linear inequality for the mean being less than 80, we can set up the inequality:
(92 + 85 + 65 + x) / 4 < 80
We can then solve for x:
92 + 85 + 65 + x < 320
x < 320 - 92 - 85 - 65
x < 78
Therefore, if Esi scored less than 78 in the test, the mean of the marks would be less than 80.
Possible marks Esi scored in the test:
We can use the expression for the mean of the marks to solve for Esi's score. We know that the mean of the marks is:
Mean = (92 + 85 + 65 + x) / 4
And we know that Esi's score is x. So, we can substitute x with Esi's score and solve for it:
(92 + 85 + 65 + Esi) / 4 = Mean
Multiplying both sides by 4:
92 + 85 + 65 + Esi = 4 x Mean
Simplifying:
242 + Esi = 4 x Mean
Substituting Mean with its value:
242 + Esi = 4 x ((92 + 85 + 65 + x) / 4)
Simplifying:
242 + Esi = 92 + 85 + 65 + x
242 + Esi = 242 + x
Subtracting 242 from both sides:
Esi = x
Simplify: 3/4(5a-16)-1/3(6a-3)
20 points for the answer.
The simplified expression is (7/4)a - 11.
What is simplification?
Exam scores are improved by simplifying mathematical problems, which is also used in everyday life to get discounts in malls of up to 35%, flat discounts, or 20% for purchases up to Rs. 100. In this section, you only need to use the basic simplification principles to solve equations.
Therefore, simplifying an expression entails using various techniques to transform it into a simpler variant. The actions needed to reduce things are carried out in a predetermined sequence known as BODMAS.
To simplify the expression, we can start by distributing the coefficients to the terms inside the parentheses:
3/4(5a - 16) - 1/3(6a - 3)
= (3/4 * 5a) - (3/4 * 16) - (1/3 * 6a) + (1/3 * 3)
= (15/4)a - 12 - 2a + 1
= (15/4)a - 2a - 11
= (7/4)a - 11
Therefore, the simplified expression is (7/4)a - 11.
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I’m not sure so if anybody knows and can help I can/ will appreciate it
the answer's translation.
Some friends equally share some peaches. Each friend receives 2 1/3 peaches. Which describes the number of friends and the number of peaches?
A 3 friends equally share 2 peaches
B 2 friends equally share 3 peaches
C 7 friends equally share 3 peaches
D3 friends equally share 7 peaches
Answer: D3 friends equally share 7 peaches
Step-by-step explanation:
there are 3 1/3 pieces meaning there are 3 friends. Each friend gets 2 so 2x3 = 6 and 1/3 times 3/1 = 1 so 6+1=7
Solve this problem by solving for x
Answer:
x = 3
Step-by-step explanation:
Check attachment. I did this lesson in class so I know.
the epa recently strengthened the national ambient air quality standards for maximum daily concentration of pm2.5 from 65 micrograms to 35 micrograms. describe how this change will impact admission rates at medical facilities.
The strengthening of National Ambient Air Quality Standards for maximum daily concentration of PM2.5 from 65 micrograms to 35 micrograms is expected to have a positive impact on public health.
The PM2.5 is defined as a fine particulate matter which penetrate deep into the lungs and cause a range of health problems, including asthma attacks, heart disease, and lung cancer.
By lowering the maximum daily concentration of PM2.5, the EPA is aiming to reduce the amount of air-pollution that people are exposed to, which should lead to improvements in public health.
Therefore, the strengthening of the National Ambient Air Quality Standards for PM2.5 is a positive step towards protecting public health and reducing the burden on medical facilities.
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in both the class samples and the simulation samples for the dice rolling exercise, when all samples were combined into a single distribution, what was the overall shape of the distribution?
The overall shape of the distribution is normal.
If the overall shape of the combined distribution for both the class samples and the simulation samples was normal, then it suggests that the individual distributions of the samples were either normally distributed or approximately normally distributed.
A normal distribution, also known as a Gaussian distribution or a bell curve, is a probability distribution that is symmetric and bell-shaped. The normal distribution is commonly used in statistical analysis and modeling because it is often observed in real-world data and has some desirable properties.
When the individual distributions of the samples are combined, their values are added up or averaged, resulting in a larger sample size and a more representative estimate of the underlying distribution. If the individual distributions are normally distributed, then the central limit theorem states that the combined distribution will tend towards normality as the sample size increases. This can explain why the overall shape of the combined distribution for both the class samples and the simulation samples was normal.
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6. A square with a side of x is inside a square with a side of 4, as pictured below. Which expression represents the area of the shaded region in terms of x?
For given Squares, The area of Shaded region will be 16-x².
What are squares?
In geometry, a square is a two-dimensional shape that has four sides of equal length and four right angles (90-degree angles). Each side of a square is parallel to its opposite side, and the diagonals of a square bisect each other at right angles. The formula for the area of a square is A = s², where A is the area and s is the length of one side.
Now,
As Area of Square= side²
Area of shaded region=Area of Bigger square - Area of White Square
and Side of bigger square=4
Side of White Square = x
Then
A (Area of shaded region) = 4²-x²
A=16 - x²
Hence,
The area of Shaded region will be 16-x².
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10) Given f(x) = 224(.87)*
a. What is the y-intercept?
b. What is the rate of decay?
c. What is the decay factor?
Answer:
438
Step-by-step explanation:
the rate of decay is 438 the decay factor is 999
Help me please!!!! I don’t know the answer!
The correct statement is:
B. The gummy bear is more likely to be strawberry than orange or raspberry.
What are likely events?
In probability theory, an event is a set of outcomes of an experiment or a random phenomenon. A likely event is an event that has a high probability of occurring
To determine the probability of selecting a gummy bear of a particular flavor, we need to divide the number of gummy bears of that flavor by the total number of gummy bears in the package.
The total number of gummy bears is:
4 + 3 + 8 + 9 + 12 = 36
So the probabilities of selecting a gummy bear of each flavor are:
Pineapple: 4/36 = 1/9
Lemon: 3/36 = 1/12
Raspberry: 8/36 = 2/9
Orange: 9/36 = 1/4
Strawberry: 12/36 = 1/3
Therefore, the correct statement is:
B. The gummy bear is more likely to be strawberry than orange or raspberry.
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first five terms of
t(1)=4
t(n+1)=t(n)-3
the first five terms of the sequence t(1)=4 and t(n+1)=t(n)-3 are: 4, 1, -2, -5, -8.
To find the first five terms of the sequence defined by the formula t(1) = 4 and t(n+1) = t(n) - 3, we can use the recursive formula to find each term in the sequence:
t(1) = 4
t(2) = t(1) - 3 = 4 - 3 = 1
t(3) = t(2) - 3 = 1 - 3 = -2
t(4) = t(3) - 3 = -2 - 3 = -5
t(5) = t(4) - 3 = -5 - 3 = -8
Therefore, the first five terms of the sequence are: 4, 1, -2, -5, -8.
A recursive formula is a formula used to define a sequence, where each term of the sequence is defined in terms of the previous terms. In other words, to find a particular term in the sequence, you need to know the value of the previous term. This can be useful for generating sequences with complex patterns, such as the Fibonacci sequence. However, recursive formulas can also be more difficult to work with than explicit formulas, which give a direct formula for calculating any term in the sequence without relying on previous terms.
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2) A notebook cost 1.15 and a pencil cost .34. If every child must have 1 notebook and 2 pencils, how many children can be provided with supplies with $20? Pls help urgently
Answer: 10 children
Step-by-step explanation:
Given:
Notebook cost: 1.15$Pencil cost: 0.34¢Every child must have 1 notebook and 2 pencils20$ givenFirst, let's find the cost "per child"
Notebook: 1 × 1.15
+
Pencils: 2 × 0.34
Equation for cost per child:
1(1.15) + 2(0.34)
Solve:
1.15 + 0.68
= 1.83$
We have $20. So, to find how many children can be provided with supplies, we divide 20 by 1.83 (which is the cost per child)
20 ÷ 1.83 = 10.928
(Gives us a terminating decimal)
Since we can't just give a child .928 of a set of supplies, we round down to 10.
Therefore,
10 children can be provided with supplies with $20.
Can someone please help me ASAP? It’s due today!! Read the question. I will give brainliest if it’s all correct
Here are the solutions for each situation, listed from least to greatest:
Neither the letters nor the numbers can be repeatedThe letters can repeat, but the numbers cannot repeatThe numbers can repeat, but the letters cannot repeatThe letter "o" cannot be used, but there are no restrictions on repeating the other letters or numbersWhat is probability?In mathematics, probability refers to the measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 represents an impossible event, and 1 represents a certain event.
The probability of an event A is denoted by P(A) and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes in a given situation.
For example, if we roll a fair six-sided die, the probability of rolling a 4 is 1/6 because there is only one favorable outcome (rolling a 4) out of six possible outcomes (rolling any number from 1 to 6).
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if 21 of the people in the picture group and 13 of the people in the actual candy group failed to detect the switch, would you conclude that there is convincing evidence that the proportion who experience choice blindness is different for the two treatments (choice based on a picture and choice based on seeing the actual candy)? test the relevant hypotheses using a 0.01 significance level. (let p1 be the proportion who experience choice blindness based on a picture treatment, and p2 be the proportion who experience choice blindness based on seeing the actual candy treatment.)
The calculated z-value of 2.45 is less than the critical value of 2.58, we fail to reject the null hypothesis.
To test whether there is convincing evidence that the proportion of people who experience choice blindness is different for the picture group and actual candy group, we need to conduct a hypothesis test.
Let p1 be the proportion who experiences choice blindness based on a picture treatment, and p2 be the proportion who experiences choice blindness based on seeing the actual candy treatment.
Our null hypothesis is that there is no difference between the two proportions:
H0: p1 = p2
Our alternative hypothesis is that there is a difference between the two proportions:
Ha: p1 ≠ p2
We will use a two-sample z-test to test this hypothesis. The test statistic is:
z = (p1 - p2) / sqrt(p*(1-p)*(1/n1 + 1/n2))
where p = (x1 + x2) / (n1 + n2) is the pooled sample proportion, x1, and x2 are the number of people who experienced choice blindness in the picture and actual candy groups, respectively, and n1 and n2 are the sample sizes.
Using the given information, we can calculate the sample proportions as:
p1 = (21/50) = 0.42
p2 = (13/50) = 0.26
The pooled sample proportion is:
p = (21 + 13) / (50 + 50) = 0.34
The sample sizes are n1 = n2 = 50.
Substituting these values into the formula for the test statistic, we get:
z = (0.42 - 0.26) / sqrt(0.34*(1-0.34)*(1/50 + 1/50)) = 2.45
Using a standard normal distribution table, we can find the critical values for a two-tailed test with a significance level of 0.01:
[tex]z_crit = ±2.58[/tex]
Since our calculated z-value of 2.45 is less than the critical value of 2.58, we fail to reject the null hypothesis. Therefore, we do not have convincing evidence to conclude that the proportion of people who experience choice blindness is different for the picture group and actual candy group at a significance level of 0.01.
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si el total es 153 cual seriael pocentajje de 107?
If the total is 153, then the percentage would be of 107 be simply calculated by using the formula as 69.935.
The denominator of a percentage (also known as a ratio or fraction) is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his maths test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100. In this case, the percentage symbol "%" is interpreted as "percent" or "percentage."
This percent sign may always be changed to a fraction or decimal equivalent by using "divided by 100."
We already have our first value 153 and the second value 107. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
STEP 1
Y = 107 / 153
By multiplying both numerator and denominator by 100 we will get:
STEP 2
Y = 107 /153 × 100
= 69.935
STEP 3
Y = 69.935
Finally, we have found the value of Y which is 69.935 and that is our answer.
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Complete question;
If the total is 153, what would be the percentage of 107?
Write the values in order from LEAST to GREATEST.
-2/3, √4 - 3.14, Зx3.14, √25 + √6
Answer:
Step-by-step explanation:
√4 - 3.14 ; -2/3 ; √25 + √6 ; Зx3.14
which of the following are required for an independent random sample? check all that apply. sampling must be done with replacement. every time an individual is selected for the sample, each of the remaining individuals has a higher chance of being included. the probability of being included in the sample is the same for all members of the population of interest. sampling must be done without replacement.
The correct answers are:
C. The probability of being included in the sample is the same for all members of the population of interest.
D. Sampling must be done without replacement.
The correct answer is, "The probability of being included in the sample is the same for all members of the population of interest" and "sampling must be done without replacement."
An independent random sample is a subset of a population that is selected in such a way that each member of the population has an equal and independent chance of being included in the sample. This means that the probability of being included in the sample is the same for all members of the population, which is why the statement "the probability of being included in the sample is the same for all members of the population of interest" is correct.
In addition, sampling must be done without replacement, which means that once an individual has been selected for the sample, they cannot be selected again. This ensures that each member of the population has an equal chance of being selected and that the sample is not biased towards certain individuals.
The statement "sampling must be done with replacement" is incorrect because it implies that individuals can be selected multiple times, which would not result in an independent random sample. The statement "every time an individual is selected for the sample, each of the remaining individuals has a higher chance of being included" is also incorrect because it suggests that the sampling process is not independent, which would also result in a biased sample.
Therefore, The probability of being included in the sample is the same for all members of the population of interest and sampling must be done without replacement.
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need help with this ASAP!!
in an evaluation of a stress management program, researchers randomly assigned subjects to two treatment groups and a control group. the results of the study showed that the two treatment groups multiple choice question. had fewer illnesses like colds and flu. had fewer strokes. had a reduction in blood pressure. reported fewer emotional outbursts.
The purpose of the study was to determine whether the stress management program had any effects on various health outcomes.
Researchers tested a stress program with 3 groups; treatment groups had fewer illnesses, strokes, lower blood pressure, and emotional outbursts. The researchers conducted an evaluation of a stress management program, in which they randomly assigned subjects to one of three groups: two treatment groups and a control group. The purpose of the study was to determine whether the stress management program had any effects on various health outcomes.
The results of the study indicated that both treatment groups experienced a number of positive health outcomes compared to the control group. Specifically, the treatment groups had fewer illnesses like colds and flu, fewer strokes, a reduction in blood pressure, and reported fewer emotional outbursts.
The findings of this study suggest that a stress management program may have multiple benefits for individuals' health, including reducing the risk of certain illnesses and improving emotional well-being. However, further research is needed to confirm these findings and to determine whether these effects are sustained over time.
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Solve 9/n = 75/100 for the unknown quantity, n.
Answer:
n = 12
Step-by-step explanation:
Given equation:
[tex]\dfrac{9}{n}=\dfrac{75}{100}[/tex]
We can solve the equation for the unknown quantity, n, by cross-multiplying, which means multiplying both sides of the equation by the product of the denominators.
The denominator of a fraction is the part below the division bar.
The denominators of the given equation are n and 100, so their product is 100n.
Multiply both sides by 100n:
[tex]\implies \dfrac{9}{n} \cdot 100n=\dfrac{75}{100}\cdot 100n[/tex]
Simplify and cancel the common factors:
[tex]\implies \dfrac{9\cdot 100n}{n} =\dfrac{75\cdot 100n}{100}[/tex]
[tex]\implies 9\cdot 100 =75\cdot n[/tex]
[tex]\implies 900 =75n[/tex]
To solve for n, divide both sides of the equation by 75:
[tex]\implies \dfrac{900}{75} =\dfrac{75n}{75}[/tex]
[tex]\implies 12=n[/tex]
Therefore, the unknown quantity, n, is 12.
Answer:
[tex]n = 12[/tex]Step-by-step explanation:
To find:-
The value of "n" .Answer:-
The given equation to us is ,
[tex]\longrightarrow \dfrac{9}{n}=\dfrac{75}{100} \\[/tex]
Simplify the RHS of the equation. This can be done by dividing the numerator and denominator by 25 as it is the HCF of 75 and 100 . So we have;
[tex]\longrightarrow \dfrac{9}{n}=\dfrac{75\div 25}{100\div 25} \\[/tex]
Simplify,
[tex]\longrightarrow \dfrac{9}{n} = \dfrac{3}{4} \\[/tex]
Flip the numerator and denominator on both the sides , as ;
[tex]\longrightarrow \dfrac{n}{9} =\dfrac{4}{3} \\[/tex]
Multiply both the sides by 9 as ,
[tex]\longrightarrow \dfrac{n}{9}\times 9 =\dfrac{4}{3}\times 9\\[/tex]
Simplify,
[tex]\longrightarrow \boxed{\boldsymbol{ n = 12}} \\[/tex]
Henceforth the value of n is 12 .
Bruce is going to call one person from his contacts at random. He has 25
2525 total contacts. 20
2020 of those contacts are from his neighborhood.
What is P(call a person not from his neighborhood
)
P(call a person not from his neighborhood)start text, P, left parenthesis, c, a, l, l, space, a, space, p, e, r, s, o, n, space, n, o, t, space, f, r, o, m, space, h, i, s, space, n, e, i, g, h, b, o, r, h, o, o, d, end text, right parenthesis?
If necessary, round your answer to 2
22 decimal places.
Bruce is going to call one person from his contacts at random and Probability to call a person not from his neighborhood = 1/5 or 0.2
Total number of contacts = 25
Total number of contacts that are from his neighborhood = 20
Find the probability of calling one person not from his neighborhood.
Find the number of contacts not from his neighborhood.
Total contact = 25
Total from his neighborhood = 20
Total not from his neighborhood = 25 - 20
Total not from his neighborhood = 5
Find the probability of calling one person not from his neighborhood:
Total contact = 25
Total not from his neighborhood = 5
P(call a person not from his neighborhood) = 5/25
P(call a person not from his neighborhood) = 1/5 or 0.2
or we can say that,
probability = number of favorable outcomes
number of possible outcomes
there are five favorable outcomes (the 25-20=5) people not from his neighborhood
there are 25 total possible outcomes (the 25 total contacts)
P (call a person not from his neighborhood) = 5/25= 0.2
Therefore, the probability is 0.2
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In the figure, MN is a midsegment of JKL. Find the value of x.
Hence the value for MN midsegment is triangle is x = MN = 12 units.
M and N are, respectively, the midpoints of JK and JL in the triangle JKL.
MN is a midsegment of the triangle JKL because it is parallel to KL.
What exactly is midsegment?
A triangle's midsegment is a line segment that joins the midpoints of its two sides. A triangle's midsegment is always half as long as its third side and runs parallel to it at all times.
Triangles have the following characteristics:
Three sides, three vertices, and three angles make up the polygonal shape known as a triangle.
- The total of a triangle's three angles is 180 degrees.
- Any two triangle sides added together will always be longer than the third side.
- Less than the third side's length separates the two sides of a triangle from one another.
- A triangle's perimeter is the product of its three sides.
KL is 12 units in length. MN is therefore 12 units long as well.
Hence, x = MN = 12 units.
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please help asapppppp
The equations [tex]y=2x-3 [/tex]and [tex]y=x+6[/tex],
we can use them to find the point of intersection between the two lines. This point of intersection represents the solution to the system of equations.
Setting the two equations equal to each other, we get:
[tex]2x - 3 = x + 6[/tex]
Simplifying this equation, we can see that x = 9.
Now we can substitute x = 9 into either of the original equations to find the corresponding value of y.
Let's use the equation [tex]y=2x-3[/tex]
[tex]y = 2(9) - 3 = 15[/tex]
Therefore, the solution to the system of equations y=2x-3 and y=x+6 is the point (9, 15).
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If -8 - 1= -9, does -8 - 1 - 2 = -9 - 3? Why or why not
Answer:
-8 - 1 - 2 = -9 - 3 is not an equal expression because when both sides are simplified you get -12 from -9-3 and -11 from -8-1-2. (-11)≠(-12)
Step-by-step explanation:
If you are confused with subtracting negatives from negatives there is an equal trick which can make it seem a lot more easier. Basically instead of viewing it as -9-3, you can look at it was -9+(-3). Both of these problems are the same thing, but by just adding the + in the middle makes it seem a lot more easier to interpret. Hope this helps.
what is
746x34=2984+22 blank 8 blank
The answer of the given question based on equation is the complete equation is: 746 x 34 = 2,984 + 1,023 + 22,462.
What is Variables?A variable is a symbol or letter that represents a value that can change or vary. It is often used to express relationships between quantities or to represent unknown values. Variables are commonly used in algebra, where they are used to represent unknown quantities in equations. Variables can also be used in calculus to represent functions and their derivatives. In statistics, variables are used to represent different types of data, like numerical values or categorical groups.
To solve for the blanks, we can simplify the left side of the equation first:
746 x 34 = 25,444
Then, we can write:
25,444 = 2,984 + 22x + 8
where x represents the first blank and (22x + 8) represents the second blank.
To solve for x, we can subtract 2,984 from both sides of the equation:
25,444 - 2,984 = 22x + 8
22,460 = 22x + 8
Subtracting 8 from both sides of the equation, we get:
22,452 = 22x
Dividing both sides of the equation by 22, we get:
x = 1,023
Therefore, the missing values are 1,023 and 22,462.
So, the complete equation is:
746 x 34 = 2,984 + 1,023 + 22,462.
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A grocer sells 40 liter of oil for the cost price of 42 liter, find his gain percent.
The grocer's gain percentage is 5% after he sells 40 liter of oil for the cost price of 42 liter.
What is profit?In business and finance, profit is the amount of money earned by a company or an individual after deducting all the expenses and costs associated with producing and selling goods or services. It is essentially the difference between the revenue earned from selling goods or services and the costs incurred in producing and selling those goods or services.
Let's assume that the cost price of 1 liter of oil is $1 for simplicity.
According to the problem, the grocer is selling 40 liters of oil for the cost price of 42 liters. So, his total cost price for 40 liters of oil is 40 * $1 = $40.
However, he is selling 42 liters worth of oil, which means his selling price is 42 * $1 = $42.
Therefore, his profit in this case is $2 (selling price - cost price).
To find his gain percentage, we can use the following formula:
Gain percentage = (Profit / Cost price) x 100
Substituting the values, we get:
Gain percentage = ($2 / $40) x 100 = 5%
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what are the answers please i’m begging pls pls help me
1. The data show's a symmetric distribution
The second diagram is left skewed
How to solve for the standard deviation2. The second shape would have a greater standard deviation because its skewness is more
3. √(2 + 5 + 0 + 3 + 4)²/17
= √(0.8235)²
= √0.6781
= 0.8234
using the same calculation the standard deviation is 1.1418
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GRADE 8
The following figure shows triangle XYZ. The length of XY is 19 units, and the length of YZ is 181 units.
Y
19
X
181
What is the value of
Z
Note: Figure not drawn to scale.
? Enter your answer as a fraction in the spaces provided.
YZ
The value of [tex]\frac{XZ}{YZ}[/tex] include the following: C. [tex]\frac{180}{181}[/tex]
What is Pythagorean theorem?In Mathematics and Geometry, Pythagorean's theorem is represented by the following mathematical equation:
a² + b² = c²
Where:
a, b, and c represent the side lengths of a right-angled triangle.
In order to determine the length of XZ in right-angled triangle XYZ, we would have to apply Pythagorean's theorem.
YZ² = XY² + XZ²
181² = 19² + XZ²
XZ² = 32,761 - 361
XZ = √32,400
XZ = 180 units
For the ratio, we have:
Ratio = XZ/YZ
Ratio = 180/181
Read more on Pythagorean theorem here: brainly.com/question/15430861
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Someone please help by tonight I’m struggling very hard
Drawing a 10 from the bag unlikely
Rolling a number less than 5 Likely
Drawing a red marble equally likely and unlikely
Here is the completed frequency table:
Number frequency
1 9
2 12
3 10
4 8
5 5
6 6
Hiro's prediction is likely.
What is the probability?
Probability determines the odds that a random event would happen. If the probability value is 0.5, it is equally likely and unlikely that the event would happen. If it is less than 0.5, it is unlikely that the event would happen. If it is greater than 0.5, it is likely that the event would happen.
Probability of drawing a 10 = number of 10s in the bag / total number in the bag = 1/100 = 0.01
It is unlikely that you would draw a 10.
Probability of rolling a number less than 5 = numbers that are less than 5 / total number of sides = 4/6 = 0.67
It is likely that a number less than 5 would be rolled.
Probability of drawing a red marble = total number of red marbles / total number of marbles = 8 / 16 = 0.5
It is equally likely and unlikely that a red marble would be picked
In order to determine the frequency, if the denominator of the relative frequency of the number is equal to 50, then the numerator is equal to the frequency. In the case where the denominator is less than 50, divide 50 by the number, multiply the quotient by the numerator in order to determine the frequency.
The frequency of 2 = (50 / 25) x 6 = 12
Number frequency
1 9
2 (6 x 2) 12
3 (1 x 10) 10
4 (4 x 2) = 8
5 (1 x 5) 5
6 (3 x 2) 6
To learn more about probability, please check: https://brainly.com/question/13234031
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volume of rectanguler prism with a length of 1 1/4 width of 1 1/2 and a height of 1/6
we know that
[tex]\text{[volume of a prism]}=\text{length}\times\text{width}\times\text{height}[/tex]
[tex]\text{length}=1 \dfrac{1}{4} \ \text{cm}\longrightarrow \dfrac{(1\times4+1)}{4} \longrightarrow \dfrac{5}{4} \ \text{cm}[/tex]
[tex]\text{width}=1 \dfrac{1}{2} \ \text{cm}\longrightarrow \dfrac{(1\times2+1)}{2} \longrightarrow \dfrac{3}{2} \ \text{cm}[/tex]
[tex]\text{height}=\dfrac{1}{6} \ \text{cm}[/tex]
[tex]\text{[volume of a prism]}=\huge \text(\dfrac{5}{4}\huge \text{)}\times\dfrac{3}{2} \times\dfrac{1}{6} \implies\dfrac{5}{16} \implies 0.3125 \ cm^3[/tex]
the answer is:
the volume is 0.3125 cm³ (5/16 cm³)