The school board claims that 85% of the over 1,600 families with children in their district send their
children to public school. Skeptical of this claim, a private school administrator takes a simple random
sample of 120 families with children in the district and asks them whether they send their children to
public school.
Assuming the school board's claim is correct, what is the probability that the administrator's results are
within 5 percentage points of the school board's 85% claim?

Answers

Answer 1

Answer:

P(0.8<  p ^ <0.9)≈0.87

Step-by-step explanation:

trust me

Answer 2

The probability that the administrator's results are within 5 percentage points of the school board's 85% claim is approximately 0.919.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

To find the probability that the administrator's results are within 5 percentage points of the school board's 85% claim, we need to find the probability that the sample proportion of families sending their children to public school is between 80% and 90%.

We can use the normal approximation to the binomial distribution to calculate this probability. Since the sample size is large (n = 120) and the population proportion is not too close to 0 or 1 (p = 0.85), we can use the normal approximation.

The mean of the sampling distribution is the population proportion, which is 0.85 in this case. The standard deviation of the sampling distribution is given by the formula:

SD = √((p × (1 - p)) / n)

Plugging in the values, we get:

SD = √((0.85 (1 - 0.85)) / 120)

= √(0.01225 / 120)

= √(0.0001010417)

= 0.0101

Now we can use the normal distribution calculator to find the probability that the sample proportion is between 0.80 and 0.90. Plugging in the mean (0.85) and standard deviation (0.0101) and the upper and lower limits (0.80 and 0.90), we get a probability of 0.919.

Therefore, the required probability is approximately 0.919.

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Related Questions

(19 + 2) x 11 + 3 hhhh

Answers

Answer:

234

Step-by-step explanation:

19+2=21
11+3=14
Answer: 294

8- (-7) = help ASAP

Answers

Answer: 15

Step-by-step explanation: have a great day!

find the size of angle x

Answers

Answer:

X=180-124

X=56

Bpwxjpwxjwxwx

Answer:

56

Step-by-step explanation:

180 - 124 = 56

solve
plz -4p-2r-15p

Answers

Answer:

-2r-19p

Step-by-step explanation:

-4p-2r-15p

add like terms

-2r-19p

HELP ME PLEASEE!!!!!!ITS DUE TODAY!!

Answers

A 86.5 b 52 C-2.9 d. -11.6

Answer:

86.5, 52, -2.9, -11.6

Step-by-step explanation:

The intervals are same amounts on number 1 and 2, and for 3 and 4. But different than the other group

Solve the literal equation for y.
6x + 3y = 3

Answers

Answer:

6

Step-by-step explanation:

because 3x3=6

so y would have been 6 not sure if am correct but I'm trying something

How much inches go into 5ft?

Answers

1ft is 12 inches, multiply 12 with 5. That’s gonna be 60.

Answer: 60 inches

PLZ HELP I WILL GIVE BRANLIEST

Myrna wants to know how many pairs of jeans middle school students own. She did not have time to ask all 257 middle school students, so she surveyed a random sample of 25 students. The results below display the number of pairs of jeans each surveyed student owns.


3, 4, 2, 1, 3, 1, 2, 4, 2, 3, 1, 2, 4, 2, 3, 2, 2, 6, 1, 1, 2, 4, 1, 1, 2


The mean of her data is 2.36 pairs of jeans. From the given data and the calculated mean, which inference could Myrna make?


A. All middle school students own jeans.

B. The average middle school student owns around two pairs of jeans.

C. Most seventh-grade students prefer cargo pants to jeans.

D. An average middle school student owns three or more jeans.

Answers

Answer: B-The average middle school student owns around two pairs of jeans.

Step-by-step explanation:

16)
6 points
Bowling shoes cost $69.95 per pair. You need two-
new pairs of shoes. What is the better Incentive?
Buy one pair, get the second pair at half price
Or
2 palrs for $100.00
Buy one pair get the second at half price
O 2 pairs for $100

Answers

The answer is buying 2 pairs for $100

A chemist measures the boiling point of a sample of benzene as 79.8 degrees Celsius. The actual boiling point is 80.1 degree Celsius. Round to the nearest hundredth of a percent, what is the percent error in the boiling point for the sample? Put the % sing after your numbers and do not put spaces in your answer.

Answers

Answer:

-0.375%

Step-by-step explanation:

Here, we want to calculate the percentage error

Mathematically;

% error = error/true value * 100%

error= the difference between the true value and the calculated

That is;

79.8-80.1 = -0.3

% error = -0.3/80.1 * 100%

% error = -0.375%

The difference between a larger multiple of 4 and a smaller multiple of 4, is again a multiple of...

Answers

Answer:

4.

Hope that helps!

Step-by-step explanation:

If m∠12 = 123° and m∠6 = 76°, find each measure.

Answers

Answer:

m1 = 76

m2 = 47

m3 = 57

m4 = 57

m5 = 47

m6 = 76

m7 = 123

m8 = 57

m9 = 76

m10 = 104

m11 = 57

m12 = 123

m13 = 104

m14 = 76

123=16• that’s the answer of the ques

Find the product (2y - 6)^2

Answers

The product (2y - 6)² of the  algebraic expression gives 4y² - 24y + 36

How to find the product (2y - 6)²?

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

The product (2y - 6)² can be written as:

(2y - 6)² = (2y - 6)(2y - 6)        (clear the parenthesis)

             = 2y(2y - 6) -6(2y - 6)

            = 4y² - 12y - 12y + 36

            =  4y² - 24y + 36

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Question 5 (25 points)
Choose the equation that could be used to solve for the missing side.

Help me ASAP!!!! Plzzz!!!

Answers

Answer:

Again its C like i answered before.

Step-by-step explanation:

Cos is adj/hyp and there is only one cos option so it must be correct.

Find the exact value of x.

x=

Answers

Answer:

6.73

Step-by-step explanation:

Remark

There might be an easier way to do this problem. I'm certain I don't know what it is. Begin by called WY = y

Givens

WY = y

WZ = x

XW = 25 - y

XZ = 24

YZ = 7

Equations

x^2 + y^2 = 7^2

(25 - y)^2 + x^2 = 24^2

Solution

x^2 = 7^2 - y^2

x^2 = 24^2 - (25 - y)^2

Since both xs are the same, you can equate the right side of the equations.

7^2 - y^2 = 24^2 - (25 - y)^2                 Expand the brackets

7^2 - y^2 = 24^2 - (625 - 50y + y^2)    Remove the brackets.

7^2 - y^2 = 576 - 625 + 50y - y^2        Cancel the y^2. Combine 576 and 625

49  = - 49 + 50y                                    Add 49 to both sides

98 = 50y                                               Divide by 50

y = 1.96

Now use y to find x

x^2 + y^2 = 7^2

x^2 = 7^2 - 1.96^2

x^2 = 45.1584

x = 6.72

9514 1404 393

Answer:

  x = 6.72

Step-by-step explanation:

The triangles are all similar, so the ratios of corresponding sides are the same.

  short leg/hypotenuse = 7/25 = x/24

  x = 24(7/25)

  x = 6.72

4x+2y=17
3x+2y=13

X=
Y=

Please help asap lol ty

Answers

Answer:

x=4

y= 1/2

Step-by-step explanation:

The easiest way to solve this is to subtract the two equation from each other

wee have

  4x+2y=17

-  3x+2y=13

___________

x=4

Now that we know what x is we can solve for y

4(4)+2y=17

16+2y=17

2y=1

y= .5

PLEASE HELP ILL GIVE BRAINLY

Answers

Answer:

b represents the outlier

Step-by-step explanation:

Answer:

I think its B its the outer line if not then sorry

Step-by-step explanation:

Justin is evaluating the expression 12.53.8x, when x is 7.9.
12.5+3.847.9)
16.3(7.9)
128.77
What was Justin's error?
Justin should have multiplied 12.5 and 7.9 first.
Justin should have added 12.5 and 7.9 first.
Justin should have multiplied 3.8 and 7.9 first.
O Justin should have added 3.8 and 7.9 first.

Answers

Answer:

C.) Justin should have multiplie 3.8 and 7.9 first.

Step-by-step explanation:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

plss help me i really need help plsss my school is amost done so plss help me

Answers

Answer:

cant really help since I cant draw it out, just count the numbers, for example if its (5,4) start from the middle and go 5 pointa to the right and 4 points up and mark it, if its (-5. -4) go 5 points left and 4 points down

What is the perimeter of the parallelogram? 12 cm 6 cm 5 cm 7 cm

Answers

We dont know this
You need to have only 2
For ex: 4 cm and 7 cm
So, P=2• (a•b)
2•(4•7)
P=56cm

Answer:

12

Step-by-step explanation:

Help!! I’ll give brainliest! <3

Answers

Answer:

Step-by-step explanation:

1/2 x because it is always positive and gives half the value of x

how do i put 6x5 in repeated addtion

Answers

Answer:

6+6+6+6+6

Step-by-step explanation:

6+6 5 times

6+6+6+6+6

1 2 3 4 5

Answer:

6+6+6+6+6 or 5+5+5+5+5+5

Step-by-step explanation:

Repeated addition just means to add 6, 5 times for this question.  

If u know how to do this plz help cause I missed class and I don’t understand anything :/

Answers

Answer:

2

Step-by-step explanation:

sum of angles in a triangle is 180

(26x - 2) + 70 + 60 = 180

26x -2 = 180 - 70 - 60

26x - 2 = 50

26x = 52

x = 2

hope this helped

Answer:

D) 2

Step-by-step explanation: The interior angles of triangles will ALWAYS add up to 180 degrees. In this case 2 angles are already provided, 70 and 60, so adding those together (130) the remaining angle must be 50 (180-130=50). In 26x-2=50, x=2 is the only possible answer. (Feel free to ask any questions if you don't understand anything I said!)  

The axis of symmetry for a function in the form f(x)=x2+4x-5 is x=-2

Answers

Answer:

error siya bessssss

error siya

Kayden is a teacher and takes home 100 papers to grade over the weekend. He can grade at a rate of 6 papers per hour. How many papers would Kayden have remaining to grade after working for 10 hours?

Answers

Answer:

40

Step-by-step explanation:

6 * 10 = 60 papers done and complete

100- 60 = 40

Answer:

40 papers will be remaining

Step-by-step explanation:

= As,It take 1 hour to grade 6 papers

= 1 -6

= 10-?

= by cross multiplying we get 60 papers

= 100 - 60

= 40 papers

Thank you

6 is 2/3 of what number

Answers

Answer:

9

Step-by-step explanation:

Let that number be x whose 6 is two thirds. Now we need to find here the value of x .

So,

[tex]\underline{\boldsymbol{ According\ to \ the \ Question :- }}[/tex]

=> x × ⅔ = 6

=> x = 6*3/2

=> x = 9

Dolores spent $ 13.00 of the $20.00 in her wallet. Which decimal represents the fraction of the $20.00 Dolores spent?

A. 0.35
B. 0.13
C. 0.07
D. 0.65

Answers

Answer:

In order to find the fraction of the 20 dollars that has been spent, we have to divide the amount spent by the total amount. So 0.65 is the fraction of 20 that is spent.

Step-by-step explanation:

Two friends shop for fresh fruit. elena buys a watermelon for $7.65 and 4 pounds of cherries. taniy buys a pineapple for $2.25 and 3 pounds of cherries. use the variable p to represent the price, in dollars, per pound of cherries.​

Answers

Answer:Answer: 5.2-p

Step-by-step explanation:

Let p be the price, in dollars, per pound of cherries.

Given : .Jackson buys a watermelon for $7.65 and 5 pounds of cherries.

Cost of 5 pounds of cherries = 5p

Now,

Cost of fruits to Jackson = 7.65+5p   (in dollars)

Tim buys a pineapple for $2.45 and 4 pounds of cherries.

Cost of 4 pounds of cherries = 4p

Now,

Cost of fruits to Tim = 2.45+4p   (in dollars)

Amount spent by Jackson more than Tim = (Cost of fruits to Jackson)-(Cost of fruits to Tim)

=  7.65+5p -(2.45+4p)

=  7.65+5p -2.45 - 4p

= 5.2-p

Hence , the required expression in terms of p = "5.2-p"

Step-by-step explanation:

Find the GCF:
95, 145

Answers

Answer: 5

Step-by-step explanation:

Find the prime factorization of both these numbers:

95 = 5 * 19

145 = 5 * 29

The largest common factor is 5

Your answer would be 5

Multiple Choice Questions (MCQs)
14. The ratio between two numbers is 11:9. If the
sum of these two numbers is 40, what is the
product of the numbers?
(a) 396
(c) 400
(b) 432
(d) 384​

Answers

Answer:

(c) 400 is correct answer

Copeid from Sandy

Answer:

400 is the best answer

Step-by-step explanation:

For me

Copied from Alia !!

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