A state highway patrol official wishes to estimate the number of drivers that exceed the 31) speed limit traveling a certain road. a) How large a sample is needed in order to be 90% confident that the sample proportion will not differ from the true proportion by more than 3%? b) Repeat part (a) assuming previous studies found that 80% of drivers on this road exceeded the speed limit. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Answers

Answer 1

a) A sample size of at least 963 drivers is needed.

b) A sample size of at least 753 drivers is needed.

a) To determine the sample size needed for a 90% confidence interval with a margin of error of 3%, we need to use the formula:

[tex]n = (z^2 \times p \times q) / E^2[/tex]

Where:

n = sample size

z = the z-score corresponding to the desired confidence level (in this case, 1.645 for 90%)

p = the estimated proportion of drivers exceeding the speed limit (unknown)

q = 1 - p

E = the margin of error (0.03)

To find the minimum sample size required, we need to estimate p. Since we do not have any previous information, we can use 0.5 as an estimate, which gives:

[tex]n = (1.645^2 \times 0.5 \times 0.5) / 0.03^2 = 962.59[/tex]

b) If previous studies found that 80% of drivers on this road exceeded the speed limit, we can use this value as an estimate for p in the formula above:

[tex]n = (1.645^2 \times 0.8 \times 0.2) / 0.03^2 = 752.45[/tex]

The answer to part (b) is (D) 753.

for such more question on sample size

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Related Questions

95 divided by 9 please helppppppp

Answers

Answer: 95 divided by 9 is 10.5 BUT WITH THE 5 REPEATING

Step-by-step explanation:

Find the measure of the indicated angle to the nearest degree.
PLS URGENT HELP

Answers

I think the answer will be 31

Factor: 42x + 14 *
Please help me with this question

Answers

Answer:

x = 0.3333333333

Step-by-step explanation:

Simplifying

42x = 14

Solving

42x = 14

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '42'.

x = 0.3333333333

Simplifying

x = 0.3333333333

You deposit $400 Into a bank account. The account pays 2.75% annual interest compounded semi-annually. Find the balance after 5 years

Answers

Answer:

$452.56

Step-by-step explanation:

400 * 1.025^(5)

Simplify.
[tex]m\sqrt{p} + n\sqrt{p} - \sqrt{p}[/tex]

Answers

Answer:

First option is the correct answer.

[tex] (m + n - 1) \sqrt{p} [/tex]

Step-by-step explanation:

[tex]m\sqrt{p} + n\sqrt{p} - \sqrt{p} \\ \\ = (m + n - 1) \sqrt{p} [/tex]

(3a - 1/2) (3a - 1/2)​

Answers

Answer: The answer is 9a^2 - 3a + 1/4

Step-by-step explanation:

Hope this helpfull.

But Im so sorry if this not helpfully

Find |14.06|= I'm having trouble with this.

Answers

Answer:

14.06

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between 0 and 14.06 is 14.06.

Answer:

14.06

Step-by-step explanation:

|14.06| means the absolute value of 14.06, which is 14.06!

Hope that helps!

Need help asap !!!!! its math! WI GIVE BRAINLIEST AND A FOLLOW
AND PLEASE SHOW HOW U GOT THE ANSWER Quick

QUESTION:

33 1/3 as a fraction​

Answers

33.03 i believe! hoped this solved your question

if a recipe has 3/8 cups of water and 2 cups of flour what is the ratio and then what is the ratio in a fraction or simplified? PLEASE HELP WITH A REAL ANSWER

Answers

Answer: The ratio of eggs, eggs, to two cups of flour. Let me write two cups of flour. Cups of flour. In either case is, is four eggs for every three cups of flour 5/2

Step-by-step explanation: Im not sure through

What is the least common multiple of 8, 7, and 2?

Answers

Answer:

1 i know its one hope it help

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 2 shows:

2 is prime  =>  21

Prime Factorization of 7 shows:

7 is prime  =>  71

Prime Factorization of 8 is:

2 x 2 x 2  =>  23

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 2, 7

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 7 = 56

In exponential form:

LCM = 2^3 x 7^1 = 56

LCM = 56

Therefore,

LCM(2, 7, 8) = 56

Miss Smith took her bird to the vet 20 weighed 1 and 3/10 pounds the vet said that tweety weighed 4/10 pound more last year how much did tweety way last year

Answers

Answer:

1 and 7/10 pounds?

Step-by-step explanation:

because if its 4/10 more you add 3/10 and 4/10 im pretty sure

Answer:

PLEASE MARK BRAInliest

Step-by-step explanation:

tweety weighed 17/10 pounds last year.

Can u answer these for me with the work shown

Answers

Answer:

[tex]\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}= \frac{(x+3)}{x}[/tex]

[tex]\frac{3x^2 - 5x - 2}{x^3 - 2x^2} = \frac{3x + 1}{x^2}[/tex]

[tex]\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}=-\frac{5}{2x}[/tex]

[tex]\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x} = \frac{-(x-3)^2}{25}[/tex]

[tex]\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}= x +1[/tex]

[tex]\frac{9x^2 + 3x}{6x^2} = \frac{3x + 1}{2x}[/tex]

[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x} = 3x[/tex]

Step-by-step explanation:

Required

Simplify

Solving (1):

[tex]\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}[/tex]

Factorize the numerator and the denominator

[tex]\frac{x^2(x + 2) -9(x+2)}{x(x^2-x-6)}[/tex]

Factor out x+2 at the numerator

[tex]\frac{(x^2 -9)(x+2)}{x(x^2-x-6)}[/tex]

Express x^2 - 9 as difference of two squares

[tex]\frac{(x^2 -3^2)(x+2)}{x(x^2-x-6)}[/tex]

[tex]\frac{(x -3)(x+3)(x+2)}{x(x^2-x-6)}[/tex]

Expand the denominator

[tex]\frac{(x -3)(x+3)(x+2)}{x(x^2-3x+2x-6)}[/tex]

Factorize

[tex]\frac{(x -3)(x+3)(x+2)}{x(x(x-3)+2(x-3))}[/tex]

[tex]\frac{(x -3)(x+3)(x+2)}{x(x+2)(x-3)}[/tex]

Cancel out same factors

[tex]\frac{(x+3)}{x}[/tex]

Hence:

[tex]\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}= \frac{(x+3)}{x}[/tex]

Solving (2):

[tex]\frac{3x^2 - 5x - 2}{x^3 - 2x^2}[/tex]

Expand the numerator and factorize the denominator

[tex]\frac{3x^2 - 6x + x - 2}{x^2(x- 2)}[/tex]

Factorize the numerator

[tex]\frac{3x(x - 2) + 1(x - 2)}{x^2(x- 2)}[/tex]

Factor out x - 2

[tex]\frac{(3x + 1)(x - 2)}{x^2(x- 2)}[/tex]

Cancel out x - 2

[tex]\frac{3x + 1}{x^2}[/tex]

Hence:

[tex]\frac{3x^2 - 5x - 2}{x^3 - 2x^2} = \frac{3x + 1}{x^2}[/tex]

Solving (3):

[tex]\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}[/tex]

Express x^2 - 9 as difference of two squares

[tex]\frac{6 - 2x}{x^2 - 3^2} * \frac{15 + 5x}{4x}[/tex]

Factorize all:

[tex]\frac{2(3 - x)}{(x- 3)(x+3)} * \frac{5(3 + x)}{2(2x)}[/tex]

Cancel out x + 3 and 3 + x

[tex]\frac{2(3 - x)}{(x- 3)} * \frac{5}{2(2x)}[/tex]

[tex]\frac{3 - x}{x- 3} * \frac{5}{2x}[/tex]

Express [tex]3 - x[/tex] as [tex]-(x - 3)[/tex]

[tex]\frac{-(x-3)}{x- 3} * \frac{5}{2x}\\[/tex]

[tex]-1 * \frac{5}{2x}[/tex]

[tex]-\frac{5}{2x}[/tex]

Hence:

[tex]\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}=-\frac{5}{2x}[/tex]

Solving (4):

[tex]\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x}[/tex]

Expand x^2 - 6x + 9 and factorize 5x - 15

[tex]\frac{x^2 -3x -3x+ 9}{5(x - 3)} / \frac{5}{3-x}[/tex]

Factorize

[tex]\frac{x(x -3) -3(x-3)}{5(x - 3)} / \frac{5}{3-x}[/tex]

[tex]\frac{(x -3)(x-3)}{5(x - 3)} / \frac{5}{3-x}[/tex]

Cancel out x - 3

[tex]\frac{(x -3)}{5} / \frac{5}{3-x}[/tex]

Change / to *

[tex]\frac{(x -3)}{5} * \frac{3-x}{5}[/tex]

Express [tex]3 - x[/tex] as [tex]-(x - 3)[/tex]

[tex]\frac{(x -3)}{5} * \frac{-(x-3)}{5}[/tex]

[tex]\frac{-(x-3)(x -3)}{5*5}[/tex]

[tex]\frac{-(x-3)^2}{25}[/tex]

Hence:

[tex]\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x} = \frac{-(x-3)^2}{25}[/tex]

Solving (5):

[tex]\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}[/tex]

Factorize the numerator and expand the denominator

[tex]\frac{x^2(x - 1) -1(x - 1)}{x^2 - x-x+1}[/tex]

Factor out x - 1 at the numerator and factorize the denominator

[tex]\frac{(x^2 - 1)(x - 1)}{x(x -1)- 1(x-1)}[/tex]

Express x^2 - 1 as difference of two squares and factor out x - 1 at the denominator

[tex]\frac{(x +1)(x-1)(x - 1)}{(x -1)(x-1)}[/tex]

[tex]x +1[/tex]

Hence:

[tex]\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}= x +1[/tex]

Solving (6):

[tex]\frac{9x^2 + 3x}{6x^2}[/tex]

Factorize:

[tex]\frac{3x(3x + 1)}{3x(2x)}[/tex]

Divide by 3x

[tex]\frac{3x + 1}{2x}[/tex]

Hence:

[tex]\frac{9x^2 + 3x}{6x^2} = \frac{3x + 1}{2x}[/tex]

Solving (7):

[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x}[/tex]

Change / to *

[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} * \frac{x}{x-1}[/tex]

Expand

[tex]\frac{x^2-2x-x+2}{4x} * \frac{12x^2}{x^2 - 2x} * \frac{x}{x-1}[/tex]

Factorize

[tex]\frac{x(x-2)-1(x-2)}{4x} * \frac{12x^2}{x(x - 2)} * \frac{x}{x-1}[/tex]

[tex]\frac{(x-1)(x-2)}{4x} * \frac{12x^2}{x(x - 2)} * \frac{x}{x-1}[/tex]

Cancel out x - 2 and x - 1

[tex]\frac{1}{4x} * \frac{12x^2}{x} * \frac{x}{1}[/tex]

Cancel out x

[tex]\frac{1}{4x} * \frac{12x^2}{1} * \frac{1}{1}[/tex]

[tex]\frac{12x^2}{4x}[/tex]

[tex]3x[/tex]

Hence:

[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x} = 3x[/tex]

Which of the following is equvalent to (16^3/2)^1/2
A. 6
B. 8
C. 12
D. 64

Answers

B. 8 is the answer.

Simplify to 2^4^(3/4) then 2^3 then that simplies to 8

Step-by-step explanation:

b 8 is the answer

simplify to2^4^(3/4) then 2^3 then that simplies to 8

84 miles in 12 days how many miles a day

Answers

Answer: 7 miles a day

Explanation: divide 84 to 12
84 / 12 = 7

Answer:

7 miles per day

Step-by-step explanation:

Solve:

84 divided by 12

Check:

12 multiplied by 7

Hope this helps!

El área cuadrada de un tablero de ajedrez mide 1681 cm².¿Cuál es la medida de cada uno de sus lados?​

Answers

Los lados es = sqrt(1681)

=41cm

What is the surface area of this square pyramid? Please help

Answers

70inches squared
A=a(squared)+2a (square root)a(squared)/4+h(squared)

help please
15 − 20 + (−15) + (+20)=​

Answers

Answer:

-5+5

= 0

Step-by-step explanation:

Answer:

-5+5

= 0

Step-by-step explanation:

4−2(3+7)=4−23−27

Is this true or fasle

Answers

Answer:

false

Step-by-step explanation:

hi please help i’ll give brainly but please show your work.

Answers

Answer:0.028

Step-by-step explanation: 0.07 x 0.4= 0.028

0.028 is the answer! Hope this helps you!

Hello person could you possibly help me with this question?

Answers

Answer:

1)whole numbers

2)integers

3)rational numbers

14 = 3y - 4
Help me pls

Answers

Answer:

y = 6

Step-by-step explanation:

I'm going to assume you want to solve for y.

Step 1: Move all constants to 1 side, isolating y and its coefficient:

14 = 3y - 4

14 + 4 = 3y - 4 + 4

18 = 3y

Step 2: Divide both sides by 3 to solve for y:

3y = 18

3y / 3 = 18 / 3

y = 6

Final answer: y = 6

Answer is y=6
because move the variable to the left so hand side and change its sign -3y+14=-4
Move the constat to the right - hand side and change its sign
-3y=-4-14
Calculate the difference
-3y=-18
And your answer should be y=6 hope this helped



Y=6

Evaluate 517 - 91 - 2.
01
-12
00
o

Answers

Answer:

its C. 8 :) please give me brainlist

The formula for the volume of a cylinder is V=

Answers

Answer:

V = pi x radius x 2 x height OR pi x diameter x height

Hope that helps!

Answer:

the formula for the volume of a cylinder is V=πr²h

can someone please help?? what’s the measure of the vertex angle

Answers

Answer:

120 deg

Step-by-step explanation:

There is an angle symbol in the equilateral triangle and another symbol in half of the vertex angle. Those two angles are congruent.

The measure of the vertex angle is 2 * 60 deg = 120 deg

Answer: 120 deg

a line that passes through the point (2,-1) and has a slope of -3

Answers

Answer:

y=3x-7

Step-by-step explanation:

i plotted the point, and used the slope to get the equation

If you were solving 17 x 23 using the area model, which numbers would be partial products you would use to find the product

Answers

Answer:

The number to use are 10, 7, 20 and 3.

Step-by-step explanation:

Given

[tex]17 * 23[/tex]

Required

Which numbers would be used using the area model or partial products

The number to use are 10, 7, 20 and 3.

This is shown below:

[tex]\begin{array}{ccc}{ } & {10} & {7} & {20} & { } & { } \ \\ {3} & { } & { } \ \end{array}[/tex]

When the numbers are multiplied, we get:

[tex]\begin{array}{cccc}{ } & {10} & {7} & {} & {20} & {200} &{140} &{=340}\ \\ {3} & {30 } & {21 } &{=51} \ \end{array}[/tex]

[tex]Total = 340 + 51[/tex]

[tex]Total = 391[/tex]

Mr Lee bought 3 packs of meat for barbecue party. Each packs weighed 7 1/2 kg. The price for the meat was $3 pork. How much did Mr Lee bought?​

Answers

Answer:

68.5

Step-by-step explanation:

each pack 7.5 kg

price for each pack $3

he bought 3

7.5 x 3=22.5

22.5 x3=66.5

15 points for an answer for this question

Answers

Answer:

Is it Khan Academy? You do 5.8 - 2.7 = 3.1

Step-by-step explanation:

Hope that helps!

SMART PPL PLEASE HELP MEEEE

Answers

Answer:

it's 80% of 125

the value of x = 125

Step-by-step explanation:

Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Please

Answers

Answer:

Step-by-step explanation:

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