500 children ages 5-11 were asked the following question:
"Do you read books for fun every day?"
Results are shown in the two-way table below.
Boy Girl Total
Yes 48 75 123
No 182 195 377
Total 230 270 500
What are proportions?A proportion is the number of desired outcomes divided by the number of total outcomes.
a. Proportion of children that are boys.There are 500 children and 230 are boys.
230/500 = 0.46
b. Proportion of boys who read books for fun every day.There are 230 boys and 48 read books for fun every day.
48/230 = 0.21
c. Proportion of girls who read books for fun every day.There are 270 girls and 75 read books for fun every day.
75/270 = 0.28
d. Does the likelihood of reading books for fun depend on the gender of a child?Based on the results from b and c, it would seem more likely for a girl to read books for fun than for a boy.
e. For a child selected at random, what is the probability that the child reads books for fun?There are 500 children and 123 read books for fun.
P = 123/500 = 0.25
f. For a child selected at random, what is the probability that the child is a girl and reads books for fun?There are 500 children and 75 are girls who read books for fun.
P = 75/500 = 0.15
g. For a child selected at random, what is the probability that the child is a girl or reads books for fun?There are 500 children. The favorable cases are the girls (270) plus the children who read books for fun (123) minus the girls who read books for fun (75).
P = (270 + 123 - 75)/500 = 0.64
h. For a child selected at random, what is the probability that the child reads books for fun given that the child is a girl.There are 270 girls and 75 of them read books for fun.
P = 75/270 = 0.28
a. The proportion of children who are boys is 0.46.b. The proportion of boys who read books for fun every day is 0.21.c. The proportion of girls who read books for fun every day is 0.28.d. It would seem more likely for a girl to read books for fun than for a boy.e. For a child selected at random, the probability that the child reads books for fun is 0.25.f. For a child selected at random, the probability that the child is a girl and reads books for fun is 0.15.g. For a child selected at random, the probability that the child is a girl or reads books for fun is 0.64.h. For a child selected at random, the probability that the child reads books for fun given that the child is a girl is 0.28.Learn more about proportions here: https://brainly.com/question/25259185
Joe cuts ten pizzas into quarters. How many pizza quarters are there in total?
Answer:
40 pizzas in total
Step-by-step explanation:
10×4=40
The following table shows Lane and Rory's scores on the first 5 math quizzes this semester. How many points higher is Rory's average than Lane's average?
Answer:
0
Step-by-step explanation:
Because Rory's higher average and Lane's higher average is 96 in Quiz 3.
96-96=0
Solve for x.
100°
(2x+3)
51°
Answer:
23
Step-by-step explanation:
Exterior angle property: Exterior angle equals sum of opposite interior angles
51 + 2x +3 = 100
2x + 54 = 100
2x = 100 - 54
2x = 46
x = 46/2
x = 23
can someone give me the answer to this please!
Answer:
f hnjkhufqeyuwegbwegnasdgjbbhdfu8isbhwsduihjjrwhiwerhugwhj4g4wyug4huwreuywefgkofjfu9qhfu8mfnfnjrfnfjqwejknuiaefhbuqwiefjjjhjjjj
Step-by-step explanation:
fgjnwehgbwhgbge
Select whether the equation has a solution or not.
√5-7
no roots
O roots
[tex] \sqrt{x} = 7[/tex]
[tex]x = {7}^{2} [/tex]
[tex]x = 49[/tex]
Root.
Gracy has fraction 4 over 5 pound of bird seed. She needs fraction 3 over 10 pound to feed the birds daily. Which of the rectangle models below shows how many days’ worth of seed Gracy has left?
Answer:
The last one is correct.
Step-by-step explanation:
[] Rewrite 4/5 as 8/10
[] 8/10 / 3/10 = 8/10 * 10/3 = 80/30 = 2 2/3 days
Have a nice day! - This is only correct if your models look like the ones I have attached
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Last time I asked a boy put a scam website.
What’s 924 / 6
/ means divided by
Tell me if I’m seeing this incorrectly
A revenue for a vegetable dish contains 924 calories. The dish serves 6 people. How many calories are in each serving?
Answer: 924 / 6 = 154
Step-by-step explanation: Yes, you are correct 924 / 6 =154
The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers?
Answer:
2020
Step-by-step explanation:
if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023
it is the number in the middle.
for the first 3 numbers, it is 2019, 2020, 2021
the middle number is 2020
The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020.
What is mean?The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.
In other words, the mean is the foundation of the deviation of data from all data sets.
Let's say the first integer is x.
Then, next terms will be x + 1, x + 2, x + 3, x + 4.
It is known that,
Mean = sum of data / Number of data
(x + x + 1 + x + 2 + x + 3 + x + 4)/5 = 2021
(5x + 10)/5 = 2021
x + 2 = 2021
x = 2019
Now, first, three consecutive integers will be,
2019,2020 and 2021
The mean of the above integers will be,
(2019 + 2020 + 2021)/3 = 2020
Hence "The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020".
For more about the mean,
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Find all solutions to below and explain why it must be constant coefficient.
The solution to the differential equation will be expressed as [tex]y_c=Ce^{2x}[/tex]
Given the differential equation;
[tex]\frac{d^2y}{dx^2}+2y \frac{dy}{dx} =0[/tex]
Since the right-hand side of the homogenous equation is zero, the differential equation is a homogenous equation
Let [tex]D=\frac{dy}{dx}[/tex]
The differential equation becomes;
[tex]D^2y-2Dy=0\\(D^2-2D)y=0[/tex]
Factorizing the auxiliary equation m² - 2m = 0
m² = 2m
m = 2
Since the auxiliary solution is real and distinct, the solution to the differential equation will be expressed as [tex]y_c=C_1e^{m_1x} + C_1e^{m_2x} \\[/tex]
Given that m =2, the solution will be expressed as [tex]y_c=Ce^{2x}[/tex]
b) Most linear differential equations have a constant coefficient because they are mostly solved using the quadratic method which is also called the method of quadrature. This means that the solution maybe expressed in integral form.
Learn more here: https://brainly.com/question/13512633
Function or not functional pls help
Answer:
It is a function.
Step-by-step explanation:
Each input goes to exactly one output. Therefore, this is a function.
Samantha has 7/3 cups of ice cream to make milk shake.Each shake uses 1/8 cup of ice cream. How many milk shakes can she make?
Hey everybody!
Can somebody please help me put with this problem?
I would really appreciate it if you could! Take a look!
The state of Colorado has 7 representatives in the U.S. House of Representatives. There are a total 435 representatives. What is the percentage of Colorado’s representation?
Answer:
1,61 %
Step-by-step explanation:
Divide the part you want to calculate the percentage of (in this case 7) by the total (435) and multiply by 100
7/435*100= 1,61 %
Which equation shows y=3x−15 in standard form?
5x−15y=−1
5x−15y=1
15x+5y=−1
15x−5y=1
Answer:
c 5x -15y =1
5x-15y=1
-5x -15y= 1 -5x change the signs on both sides of the equation
15y = -1 +5x divide both sides by 15
y = -1/15 + 1/3 x Reorder the terms
y = 3x-15
Step-by-step explanation:
Hope this helps:)
Gul can run 800 meters in 139 seconds.About how long would it take her to run 6 times far if she runs at the same speed? Choose the best estimate.
Answer:
834 seconds or 13 minutes and 54 seconds
Step-by-step explanation:
139 x 6 = 834
Help my questions in the pic fast
Answer:
K=2
Step-by-step explanation:
Given y=(1/2)^x
y=2^-x
Hope this helps :)
The length of a flat-screen tv is 5 inches less than 3 times its width if the perimeter of the tv is 150 inches find the demensions
Answer:
Length(L) is 55
Width(W) is 20
Step-by-step explanation:
The value in cents of a nickels, The value in cents of a dimes =, The value in cents of a quarters = , The value in cents of a dimes and one quarter = ,The value in cents of 13 dimes =
The value in cents of a nickels = 5a
[] A nickle is worth 5 cents, so 5a is the value of a nickles
The value in cents of a dimes = 10a
[] The value of a dime is 10 cents, so 10a is equal to a dimes
The value in cents of a quarters = 25a
[] A quarter is worth 25 cents, so 25a is the value of a quarters
The value in cents of a dimes and one quarter = 10a + 25
[] Up above we figured out the expression for a dimes, so we need to add 25 to it for one quarter
The value in cents of 13 dimes = 130
[] A dime is worth 10 seconds, so 13 * 10 = 130
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
the smallest 3 digits even number formed form 5,6,3 is
Answer:
3,5,6
Step-by-step explanation:
because 300 divided by 2 is 150
50 divided by 2 is 25
and 6 divided by 2 is 3
Christa sells bracelets during the summer months to earn some extra money. She
made this pictograph to represent her sales for last summer.
Bracelets Sold
June
July
August
=4 bracelets
How many bracelets did Christa sell in June and July?
8
32
12
40
Answer:
32 bracelets
Step-by-step explanation:
First multiply each bracelet by 4 to get the correct amount:
3x4=12
4x5=20
Then, add the two.
12+20=32
Multiply (3x+2)(x-6)
What is the middle term of the simplified answer?
Answer:
16x
Step-by-step explanation:
(3x + 2) (x - 6)
Multiply 3x by x and -6
3x^2 - 18x
Multiply 2 by x and -6
2x - 12
Combine like terms
3x^2 - 16x - 12
The middle term is 16x
what are the solutions to the equation (x-2)(x-4)=8?
Answer:
=
6
=
0
Step-by-step explanation:
The solution to the quadratic equation (x - 2)(x - 4) = 8 are 0 and 6.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, A quadratic equation (x - 2)(x - 4) = 8.
∴ x² - 4x - 2x + 8 = 8.
x² - 6x = 0.
x(x - 6) = 0.
So, x = 0 Or x - 6 = 0 ⇒ x = 6.
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HEEEEELP!!!!! what are 5 expressions that are equivelent to 8x+16
Answer:
8x + 16 = 2(4x + 8) = 4(2x + 4) = 8(x + 2) = 16((1/2)x + 1) = -8(-x - 2)
Step-by-step explanation:
Scores in the first and final round for a sample of 8 golfers who completed golf tournament as shown below. Golfer First Round Final Round 1 73 78 2 68 75 3 70 66 4 67 71 5 71 73 6 70 68 7 68 65 8 73 72 a. State any appropriate hypothesis that can be tested for the above data. Use 2% level of significance to test the stated hypothesis. Use p-value approach
Answer:
golfing is fun but not to fun
Step-by-step explanation:
You're looking over your child's math homework. The directions say to
simplify the expression below. What feedback would you give your child?
Make sure to include if their answer is correct or not (1 pt) and a
description of why (1 pt). *
6x + 5x + 2y
= 11x + 2y
= 13xy
=
Your answer
Hello, hope you are having a nice day.
This answer is not correct, because we can't add different variables. For instance, if we have 11x+2y, we can't add x's and y's together.
Therefore, the correct answer would be
11x+2y
Hope it helps. Ask me if you have any queries.
~An emotional teen who helps others with joy
[tex]MagicalNature[/tex]
Good luck.
Answer:
Step-by-step explanation:
The first step is the answer, so you would have gotten 100% if you just left the question there. The next step, the second step, is quite right.
If it was, then why didn't you do that in the first step?
Think of all the possibilities
60xy
10xy
12xy
10xy + 5y
12xy + 5x
There must be many more.
And yet dear one, you have only made 1 mistake. You combined xs and ys in step 2. Here's the rule.
Don't. If they were added, let them stay added. xs go with other xs. ys go with other ys. They never go together when they are added.
Need help quickly
(Finding angle measures using triangles)
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
-17/2 < -1/2 - 4x ≤ 15/2
Please help helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelp
Given info: -17/2 < (-1/2) - 4x ≤ 15/2
Find the value of x ?
Explanation:↓
Given in-equation is -17/2 < (-1/2) - 4x ≤ 15/2
⇛ -17/2 < (-1-8x)/2 ≤ 15/2
On multiplying with 2 then
⇛ 2(-17/2) < 2(-1-8x)/2 ≤ 2(15/2)
⇛ -17 < -1-8x ≤ 15
On adding 1 in the in-equation then
⇛ -17+1 < -1-8x+1 ≤ 15+1
⇛ -16 < -8x ≤ 16
On dividing by 8 in the in-equation then
⇛ -16/8 < -8x/8 ≤ 16/8
⇛ -2 < -x ≤ 2
⇛ 2 > x ≥ - 2
⇛ -2 ≤ x < 2
⇛ x € [-2,2)
Answer:→The solution set = { x : -2 ≤ x < 2, x€R }
The possible values of x = -2,-1,0,1
If you have any doubt, then you can ask me in the comments.
Which repression is equivalent to:
(Picture)
Answer:
sry I just wanted the points I'm in middle school so I don't know this stuff either but can you give free brainlyest I'm soo close to my next rank I'd really appreciate it if you would
Use proportional reasoning to solve problems involving ratios. (Activity Sheet #4 & 5)
The size of a television is the length of the diagonal of its screen in inches. The
aspect ratio of the screens of older televisions is 4:3, while the aspect ratio of
newer wide-screen televisions is 16:9. Find the width and height of an older 20-
inch television whose screen has an aspect ratio of 4:3. Show all work to receive
credit.
Answer:
Step-by-step explanation:
(3x)² + (4x)² = 20²
9x² + 16x² = 400
25x² = 400
x² = 16
x = 4
height = 3(4) = 12 inches
width = 4(4) = 16 inches
ANSWERS
An automotive insurance company has 25,000 policyholders. The accident rate is 0.07.
The number of accidents the company will have to pay out for is
1,750
. If the payout for each claim (after deductibles) is $8,000, the company’s total payouts will amount to $
14,000,000
. If the company wants to keep a profit margin of 8%, the premium it must charge is $
604.8
. The company can set aside a maximum amount of $
1,120,000
for this year’s investments.
Answer:
D. 604.8
Step-by-step explanation:
Answer: these are correct
1,750
14,000,000
1,120,000
604.8