The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can be taken?
z0.101.282z0.051.645z0.0251.960z0.012.326z0.0052.576
Use the table above for the z-score, and be sure to round up to the nearest integer.

Answers

Answer 1
Answer:  14

========================================================

Explanation:

At 95% confidence, the z critical value is roughly z = 1.960

The population standard deviation is given to be sigma = 3.7

The error is E = 2 since we want to be within 2 inches of the population mean mu

The min sample size needed is:

n = (z*sigma/E)^2

n = (1.960*3.7/2)^2

n = 13.147876

n = 14

We always round up to the nearest whole number to ensure that we clear the hurdle (otherwise, the sample is too small). It doesn't matter that we're closer to 13 than to 14.


Related Questions

Approximately how many times greater is
7.4 x 10^8
than
2.5 x 10^7
0.3
3
30
300

Answers

Answer:

30

Step-by-step explanation:

To compare the numbers, divide the first number by the second number.

(7.4 x 10^8)/(2.5 x 10^7) = (74 x 10^7)/(2.5 x 10^7) = 74/2.5 = 29.6

Answer: 30

7.4 x 10^8= 740000000
2.5 x 10^7: 25000000

Answers If You Use The Other Numbers
x0.3= 7500000
x3= 75000000
x30= 750000000
x300= 7500000000

Answer: Not Possible

If You Did 7.5 x 10^8 it will make more sense but you didn’t so the answer is unspecified.

PLEASE HELP!! WHOEVER HELPS FIRST AND GETS IT CORRECT GETS BRAILIEST!!

Answers

Answer:

16 rotations

Step-by-step explanation:

500/32 = 15.625

15.625 rounded = 16

hope it helps!

Need help answer plz help

Answers

Answer:

BONANA MY NANA

Step-by-step explanation:

find the measure of the indicated angle

Answers

Answer:

Step-by-step explanation:

36°

The sum of a number and its inverse is 3 29 / 52. Find the number?​

Answers

What does the inverse mean in this scenario

evaluate the function f(x)=4x^2-7x+7 find f(7)​

please I need the answer soon!

Answers

9514 1404 393

Answer:

  f(7) = 154

Step-by-step explanation:

The basic idea is you put 7 where x is and do the arithmetic.

Polynomial evaluation is sometimes easier if you rewrite it to Horner form.

  f(x) = (4x -7)x +7

  f(7) = (4·7 -7)(7) +7 = 21(7) +7 = 147 +7

  f(7) = 154

solve 3/4(2/3m)=24. use the properties of equality first. justify each step.

pls help urgent​

Answers

Answer:

m = 48

Step-by-step explanation:

3/4(2/3m)=24

Multiply each side by 4/3 using the multiplication property of equality

4/3*3/4(2/3m)=24*4/3

2/3m = 32

Multiply each side by 3/2 using the multiplication property of equality

3/2*2/3m = 32*3/2

m = 48

Which polynomial expressions are in standard form?
x2 - x - 72
(x + 3)(x - 7)
-8x + 56
05
5x(2x)

Answers

ANSWER: -8x + 56

Standard Form Equation: y=mx+b

Answer:

PLATO ANSWER

Step-by-step explanation:

x2 − x − 72

-8x + 56

5

those are the correct answers

*Will Give Brainliest* Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

10√2 = x

Step-by-step explanation:

Since the figure is a square, all angles of the square are equal to 90 degrees

The diagonal also bisects the 90 degrees into 2 45 degrees

So you can use special triangles to find x

Ratio of sides of a 45-45-90 triangle is 1: 1: √2

10: 10: 10√2

you can also use pythagorean theorem

10^2 + 10^2 = x^2

100 + 100 = x^2

200 = x^2

10√2 = x

Answer:

12

Step-by-step explanation:

12=12

IM DOING THIS TO GIVE OTHER GUY BRAINLIEST CUZ HE ALSO HELPED ME GET IT RIGHT

Which of the following is an example of a sample that would NOT be random?

A. Going through the list and choosing the first 25 names on the list.
B. Writing each student’s name on a card and then drawing out 25 names without looking.
C. Choosing one student at random from the list and going through the list and choosing every fifth student until she has 25 names.
D. Separating the students on the list into boys and girls and choosing a sample from each group that is proportional to the size of the group.

Answers

Answer: D

"Separating the students on the list into boys and girls and choosing a sample from each group that is proportional to the size of the group."

Step-by-step explanation:

You are sampling an equal amount of boys and girls since your getting an equal sample of each gender. (Not random)

The option that is not a random sample is:

Separating the students on the list into boys and girls and choosing a sample from each group that is proportional to the size of the group.

Option D is the correct answer.

What is random sampling?

It is the way of choosing a number of required items from a population given.

Each item has an equal probability of being chosen.

We have,

We will see which option is a sample that is not random.

A. Going through the list and choosing the first 25 names on the list.

Going through the list means every name has an equal chance of getting chosen.

This is a random sample.

B. Writing each student’s name on a card and then drawing out 25 names without looking.

Since we are drawing out 25 names without looking, all the students' names have an equal chance of getting drawn.

This is a random sample.

C. Choosing one student at random from the list and going through the list and choosing every fifth student until she has 25 names.

Choosing one student at random means every student has an equal chance of getting chosen.

This is a random sampling.

D. Separating the students on the list into boys and girls and choosing a sample from each group that is proportional to the size of the group.

The students are separated into boys and girls and the sample is chosen from each group so we are selecting the sample from the separated group.

This can not be a random sampling.

Thus,

The option that is not a random sample is:

Separating the students on the list into boys and girls and choosing a sample from each group that is proportional to the size of the group.

Option D is the correct answer.

Learn more about random sampling here:

https://brainly.com/question/12719656

#SPJ2

Mila wants to buy a scooter for Rs 62,000 . She has only Rs 19,000 with her, so she decides to take a loan from a bank for the remaining amount. The bank offers Mini three loan schemes as shown below. Mini has to return the loan amount with interest in equal monthly instalments


1) How much money does mila take as loan from the bank?

a) Rs 62,000
b) Rs 44,000
c) Rs 45,000
d) Rs 43,000​

Answers

Answer:

Scheme a 45000 is the answer

Answer is D Rs.43,000I hope this answer may be right

Find a formula for a function f that satisfies the following conditions. lim x→±∞ f(x) = 0,   lim x→0 f(x) = −∞,  f(2) = 0 lim x→7− f(x) = ∞,   lim x→7+ f(x) = −∞​

Answers

9514 1404 393

Answer:

  f(x) = (x -2)/(x²(7-x))

Step-by-step explanation:

The horizontal asymptotes of zero mean the denominator degree needs to be greater than the numerator degree. The zero at x=2 means (x-2) will be a factor in the numerator. The limit at x=0 means there will be a factor of x² in the denominator. Since the numerator term is negative at x=0, the signs of the terms so far do not need modification.

The vertical asymptote at x=7 means there will be a factor of (x-7) in the denominator. In order for the limits to be correct, it must have a negative sign:

  -(x -7) = (7 -x)

Then the function with these characteristics can be written ...

  f(x) = (x -2)/(x²(7 -x))



The sum of 3 times a number and 4 is 9.

Answers

Answer: x = 5/3

Step-by-step explanation:

Let the number be x

Then

3x + 4 = 9

3x = 9-4

3x = 5

x = 5/3

please click thanks and mark brainliest if you like :)

Answer:

x = 5/3 or 1.6

Step-by-step explanation:

The sum of 3 times a number and 4 is 9

Step 1. Write the phrase as an expression

3x + 4 = 9

Step 2. Solve for x

3x + 4 = 9

Step 3. Subtract 4 from 9

3x = 9 - 4

3x = 5

Step 4. Isolate the variable

x = 5/3

5. Determine the formula for the following arithmetic sequence: 4, 7, 10, 13, ...

Answers

Answer:

[tex]a_{n}[/tex] = n + 3

Step-by-step explanation:

Each number increases by 3. Therefore, n+3.

A recipe says to use 2/3 cup milk to make 4/5 serving of pudding. How many cups of milk are in one serving?

Answers

Answer:

[tex]\frac56[/tex] cups

Step-by-step explanation:

The serving size is proportional to the amount of milk used, so we have

[tex]\frac{2/3}{4/5}=\frac x1[/tex]

where [tex]x[/tex] is the amount of milk needed for 1 serving. The right side is simply [tex]x[/tex]. We now simplify

[tex]x=\frac23\cdot\frac54=\frac{10}{12}=\frac56[/tex]

Therefore [tex]\frac56[/tex] cups of milk are needed for 1 serving.

Devaughn is 6 years older than Sydney. The sum of their ages is 56 . What is Sydney's age?

Answers

Answer:

Devaughn = 31, Sydney = 25

Step-by-step explanation:

(56-6)÷2= 25

So they would both be 25 if they were the same age but Devaughn is 6 years older so 25+6=31

Age of Sydney=xAge of Devaghn=x+6

ATQ

[tex]\\ \sf\longmapsto x+x+6=56[/tex]

[tex]\\ \sf\longmapsto 2x+6=56[/tex]

[tex]\\ \sf\longmapsto 2x=56-6[/tex]

[tex]\\ \sf\longmapsto 2x=50[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{50}{2}[/tex]

[tex]\\ \sf\longmapsto x=25[/tex]

Solve each equation for the given variable

1.3(2x+4)=54

2.4+(5x+5)54

Please

Answers

Answer:

1. x = 7

2. 270x+274

Explanation:

see attached filed for step by step reasoning

Answer:

1. x = 7

2. x = 9

Step-by-step explanation:

1. 3(2x + 4) = 54

Multiply 3 by the numbers in “( )”

6x + 12 = 54

Subtract 12 from both sides

6x = 42

x = 42/6

x = 7
****************************************
2. 4 + (5x + 5) = 54

Subtract 4 from both sides

5x + 5 = 50

Subtract 5 from both sides

5x = 45

x = 45/5

x = 9

The highest attendance at this stadium was in 2007 when 91,547 people attended. The average cost of a ticket was $57. How much money was made on ticket sales for that game?

Answers

Answer:57*91547

Step-by-step explanation:

A rectangular prism has volume 1,088 ft3 and height 8 ft. What is the area of the base of the prism?
a. 146 ft2
c. 136 ft2
b. 1,080 ft2
d. 1,096 ft2​

Answers

Height=8ftVolume=1083ft^3

We know

[tex]\boxed{\sf Volume=Area\:of\:Base\times Height}[/tex]

[tex]\\ \sf\longmapsto Area\:of\:Base=\dfrac{Volume}{Height}[/tex]

[tex]\\ \sf\longmapsto Area\:of\:Base=\dfrac{1088}{8}[/tex]

[tex]\\ \sf\longmapsto Area\;of\:base=136ft^2[/tex]

for the vector (-9,3), find 1/2V, -V, and 4V

Answers

9514 1404 393

Answer:

1/2V = <-9/2, 3/2>-V = <9, -3>4V = <-36, 12>

Step-by-step explanation:

The scalar multiplier multiplies each of the components.

  1/2V = <-9×1/2, 3×1/2> = <-9/2, 3/2>

  -V = <(-9)(-1), (3)(-1)> = <9, -3>

  4V = <-9×4, 3×4> = <-36, 12>

−5x−9y=3 added to 5x−9y=−2


Answers

Answer:

the 5s cancel out the -9s become -18y and 3-2 is 1

Step-by-step explanation:

so -18y=1

Answer From Gauth Math

rewrite the following statements into algebraic expression
the sum of x and y
5 is subtracted from y​

Answers

x+y

5-y

i really hope this is it.

Which of the following statements accurately describes the period of a trigonometric function?

Answers

Answer:

b

Step-by-step explanation:

b is  correct.

What is the conjugate of 3 + 6i?
A -3 - 61
B 3 - 6i
C 3 + 6i
D 9i

Answers

Answer:

C.3-6

Step-by-step explanation:

Every complex number has a complex conjugate.

Examples is a+bi the conjugate is a-bi,if your adding the two conjugate its going to be 2a and if your subtracting the result is 2bi.And if multiplied it is seen as complex number which are a²+b²

Solve each equation.
1) -133 = 7(-3 + 4v)

Answers

X=-4 trust me this right

Answer:

-4

Step-by-step explanation:

-133 = -21 + 28v

-133 + 21 = 28v

-112 = 28v

v = -4

I need help with this question please

Answers

Answer:

Step-by-step explanation:

30t - 5t² = 10

5t² - 30t + 10 = 0

t = [30 ± √(30² - 4 ⋅ 5 ⋅ 10)] / [2 ⋅ 5]

= [30 ± √700] / 10

= [30 ± 10√7] / 10

= 3 ± √7

≈ 0.35 seconds and 5.65 seconds


Plz help quick quick quick

Answers

Step-by-step explanation:

[tex]\angle 3[/tex] and [tex]\angle 16[/tex] are alternate exterior angles so they are equal to each other, which means

[tex]5x - 30 = 3x + 10 \Rightarrow x = 20[/tex]

Solving for the measure of [tex]\angle 16[/tex], we get

[tex]m\angle 16 = 5(20) - 30 = 70°[/tex]

Since [tex]\angle 12[/tex] and [tex]\angle 16[/tex] are supplementary,

[tex]m\angle 12 = 180° - 70° = 110°[/tex]

Answer:

ur image wont load

Step-by-step explanation:

Select the correct answer from each drop-down menu. Complete the statement. The solutions of sin2x= √3/2

are : 30 / 120 / 150 / 330

and

45 / 60 / 105 / 135

What are the correct solutions?

Answers

Answer:

henc X = 30°

Step-by-step explanation:

here is the proof

when X=30° then

sin2x = sin2×30

=sin 60°

= √3/2

or else,

putting value of X = 30° then

sin2x= 2sinxcosx

= 2×sin30°×cos30°

=2×1/2×√3/2

= 2√3/4

= √3/2

hence proved sin2x= √3/2.

What is the equation of the line that passes through (4,3) and (2, -1)?

y = 4x -13
y = 6x+4
y = 2x-5
y = 1/2 x -2

Answers

Answer:

y=2x-5

Step-by-step explanation:

By using two-points form:

y-y1/y2-y1=x-x1/x2-x1

p(x1,y1)=(4,3)

p(x2,y2)=(2,-1)

Subtitute points in formula:

y-3/-1-3=x-4/2-4

y-3/-4=x-4/-2

y-3/-2=x-4/-1

1(y-3)=2(x-4)

y-3=2x-8

y=2x-8+3

y=2x-5

Note:if you need to ask any question please let me know.

12/1,000 into decimal​

Answers

0.012 is the answer!

I hope this helps you out! :D

[tex]\\ \sf\longmapsto \dfrac{12}{1000}[/tex]

1000 has 3zeros hence decimal will go 3 points left

[tex]\\ \sf\longmapsto 0.012[/tex]

More:-

[tex]\\ \sf\longmapsto \dfrac{1}{10}=0.1[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{100}=0.01[/tex]

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