According to the American Academy of Ophthalmology, 25% of Americans have brown irises. A random survey of students at a local community college found that 58 out of 175 had brown irises. What is the test statistic (ie the Z score) for this sample of students

Answers

Answer 1

Answer:

2.49

Step-by-step explanation:

Given  X= 58

N = 175.

P = 25% = 0.25.

[tex]P' = \frac{X}{N} = \frac{58}{175} = 0.3314\\Z = \frac{P'-P}{\sqrt{\frac{pq}{N} } }[/tex]

Now plugging the values we get

[tex]= \frac{0.3314-0.25}{\sqrt{\frac{0.25\times0.75}{175} } }[/tex]

=2.49


Related Questions

(look at screenshot)
Write an explicit rule and recursive rule for a geometric sequence with a second term of 6 and a third term of 12.

explicit:

recursive:

Answers

Answer:

Explicit : [tex]a_n=3(2)^{n-1}[/tex]

Recursive: a₁ = 1

                  [tex]a_n=a_{n-1}(2)[/tex]

Step-by-step explanation:

We have to write the recursive formula for the geometric sequence with second term 2 and third term 12.

Geometric sequence will be in the form of,

a, ar, ar², ar³,...........

Here, r = common ratio

a = first term of the sequence

Here, ar = 6 ------(1)

And ar² = 12 ------(2)

By dividing equation (2) by (1),

[tex]\frac{ar^2}{ar}=\frac{12}{6}[/tex]

r = 2

From equation (1),

a(2) = 6

a = 3

Recursive formula of a geometric sequence is given by,

a₁ = a

[tex]a_n=a_{n-1}(r)[/tex]

Therefore, for the given sequence,

a₁ = 1

[tex]a_n=a_{n-1}(2)[/tex]

Similarly, explicit formula of the geometric sequence is given by,

[tex]a_n=a_1(r)^{n-1}[/tex]

[tex]a_n=3(2)^{n-1}[/tex]

_________ glands produce hormones that help regulate your response to stress.
1 point
reproductive
stomach
adrenal
thymus

Answers

Answer:

adrenal

Step-by-step explanation:

Answer:

adrenal glands produce hormones that help regulate your response to stress.

Which graph represents the function f(x) = -|x| - 2?

Answers

Answer:

Any graph that looks like the graph on the picture is the answer.

Step-by-step explanation:

Graph the absolute value using the vertex and a few selected points.

Here it is , I have like 19 more to go

Answers

I’m not sure if I need to explain but I got c.

Change 20 m/s in km/h

Answers

the answer is: 72 km/h

Answer:

72km/h

Step-by-step explanation:

the formula of changing metres per second to km/h is 18/5 and kilometre per hour into metres per second is 5/8 in hope it helps.

i need this done today
3 yards 2 feet = __________ ft

Answers

Answer:

11 feet

Step-by-step explanation:

3 yards equals 9 feet because there are 2 feet in one yard. 2*3=9

9+2= 11

In the following graph is the zero located at -4 have an
even or odd multiplicity?

Answers

Answer:

Even multiplicity at x = -4

Step-by-step explanation:

If the graph of a function crosses x-axis then the multiplicity of the function at that zero will be odd.

If the graph touches the x-axis at a point then the function will have an even multiplicity at the particular zero.

From the given graph graph touches the x-axis at x = -4

Therefore, multiplicity of the function is even at x = -4

Please help?? I don't have that much time

Which terms are like terms? 2x, -3, 5b, 0

Answers

Answer:

-3 and 0 are like terms because both of them are numbers

The formula for the area of the shaded region on the diagram is: Area of the circle - Area of the square The area of the circle is 76.8 cm2 rounded to 1 decimal place. The area of the square is 12.7 cm2 truncated to 1 decimal place. Write the error interval for the area, a , of the shaded region in the form m < a < n .

Answers

The error interval for the area is 64.2< a < 63.93

What is error interval?

Error intervals are the limits of accuracy when a number has been rounded or truncated. They are the range of possible values that a number could have been before it was rounded or truncated.

Given:

Area of circle = 76.9 cm²

Area of square = 12.7 cm²

Now, 1 decimal point

Area of circle,

= 76.9+0.05   and  = 76.9-0.05

= 76.95           and  = 76.85

Area of square,

= 12.7-0.05    and  = 12.7+-0.05

=12.65          and = 12.75

Area of shaded region in the form m < a < n .

m= 76.95-12.75

m= 64.2

n=  76.85-12.65

n= 63.93

Area of shaded region is 64.2< a < 63.93.

Learn more about error interval here:

https://brainly.com/question/21335140

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i WILL give brainliest and 20 pts. pls hurrryyyyy!!

Answers

Answer:

i think 5

Step-by-step explanation:

What type of angles are 22 and 27?

Answers

Answer: B

Step-by-step explanation:

Because they are on opposite sides and they are outside the parallel lines

The net of a square pyramid is shown in the diagram. What is the total surface area of the square pyramid in square inches? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

208

Step-by-step explanation:

Colin invests £1200 into his bank account. He
receives 3% per year compound interest. How
much will Colin have after 4 years?​

Answers

Answer:

1,344

Step-by-step explanation: So first I multiplied 1,200 by .03 because in order to multiply by a percent you need to move it decimal back two times. After you multiply 1200 x .03 = 36. Next you would do 36 x 4 for the 4 years and it would = 144. Then you would add 144 to the original because it's interest and you would end up with Colin having 1,344.

n ΔSTU, u = 720 inches, t = 630 inches and ∠T=7°. Find all possible values of ∠U, to the nearest degree.

DELTA MATH!!!!!!
Answer: 8

and 172

Answers

A denotes the angle that faces side a, and B denotes the angle that faces side b. To solve for b, we obtain: b = a / sin(B) (A)

what is angle ?

A geometric shape known as an angle is created when two rays or line segments come together to form its vertex. The two rays or line segments are known as the angle's sides. Angles are used to describe the orientation, direction, and position of lines and forms in geometry. They are commonly measured in degrees or radians. The magnitude of an angle can range from 0 degrees (representing no rotation) to 360 degrees depending on how much the two sides or rays are rotating (corresponding to a full rotation).

given

We may utilise the Law of Cosines to determine the potential values of U:

A2 + B2 - 2ab cos = c2 (C)

where a and b are the lengths of the other two sides, and c is the length of the side that faces angle C. We'll write c for the length of side SU and a for the length of side ST.

Based on the facts provided, we can:

a=630 inches

b = u (unknown) (unknown)

C = ∠T = 7°

We can apply the Law of Sines to determine the length of b:

B = a / sin = b / sin(B) (A)

where A denotes the angle that faces side a, and B denotes the angle that faces side b. To solve for b, we obtain: b = a / sin(B) (A) .

To know more about angles visit:

https://brainly.com/question/14569348

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Bir telefona yüzden20 indirim yapıldıktan sonra indirimli fiyat üzerinden yüzde 10 indirim yapılıyor

Answers

Answer:

English Translation from G o o g l e T r a n s l a t e:

After a 20 percent discount on a phone, a 10 percent discount is given on the discounted price.

Assume x is phone cost

.2x + .1x

.3x

Is that what you needed?

G o o g l e Çeviri:

Telefonda yüzde 20 indirim yapıldıktan sonra indirimli fiyat üzerinden yüzde 10 indirim yapılıyor.

G o o g le Translate'den İngilizce Çeviri:

Telefonda yüzde 20 indirim yapıldıktan sonra indirimli fiyat üzerinden yüzde 10 indirim yapılıyor.

X'in telefon maliyeti olduğunu varsayalım

.2x + .1x

.3x

İhtiyacın olan bu muydu?

A company is designing a new cylindrical water bottle. The volume of the bottle will be 124 cmcubed. The height of the water bottle is 7.1 cm. What is the radius of the water​ bottle? Use 3.14 for pi.

Answers

Answer:

2.35cm

Step-by-step explanation:

Given data

Volume= 124cm^3

Height= 7.1cm

The expression for the volume of a cylinder is given as

V= πr^2h

substitute

124=3.142*r^2*7.1

124=22.3082r^2

r^2= 124/22.3082

r^2= 5.55

r= √5.55

r=2.35cm

Hence the radius of the cylindrical bottle is 2.35cm

Julie's gross pay is $1,008.71. Her deductions total of $386.00 what is her net pay?

Answers

Answer:

i believe it is 622.71 im not sure tho

Step-by-step explanation:

Answer:

$622.71

Step-by-step explanation:

Net Pay = Gross Pay - Deductions

Net Pay = $1,008.71 - $386.00

Net Pay = $622.71

Leave a like if this helped

Four cubes are lined up to form a solid. The side lengths of the cubes are 2 ft, 3 ft 4 ft. and 5 ft. What is the volume of the solar A. 196 ft B 224 ft C.374 ft3 d 2,744ft3​

Answers

Answer:

A

Step-by-step explanation:

HELLPPP

Describe in words how to map AABC to its image
AAB'C'.

Answers

Answer:

Reflected across thhe Y-Axis (I think thats what your looking for)

Find the other endpoint of the line segment with the given endpoint and midpoint
Endpoint: (3,5)
Midpoint: (7, -2)

Answers

Answer:

The other endpoint is (11,-9)

Step-by-step explanation:

Midpoint Formula

[tex]\large\boxed{(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )}[/tex]

We already know the another endpoint which is (3,5). We substitute x = 3 and y = 5 in the formula. You can substitute in x1, x2 or y1, y2. I'll substitute in first x-term and first y-term instead.

[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]

Because sum of two x-coordinate (along with y-coordinate) divided by two must equal to the midpoint (Let's say that you get the value of midpoint when using midpoint formula.)

Solve the equation for both terms.

[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]

Cancel the denominator by multiplying the whole equation by 2.

[tex]\large{\begin{cases} \frac{3+x}{2}(2)=7(2)\\\frac{5+y}{2}(2)=-2(2) \end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}[/tex]

Isolate x-term and y-term.

[tex]\end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=14-3\\ y=-4-5 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=11\\ y=-9 \end{cases}}[/tex]

Therefore, when x = 11, y = -9. We can write in ordered pair as (11,-9). The ordered pair (11,-9) is our other endpoint of the line segment. This can be proved by using the distance formula between midpoint and endpoints.

Note: The distance of (3,5) and (7,-2) must equal to the distance of (11,-9) and (7,-2)

which of the following can be brisk? a.A gift from a relative b.A walk around town c.a bowl of soup d.A fall breeze​

Answers

A walk around town and a fall breeze. The walk is active and energetic and the fall breeze is cool and fresh

Solve the inequality
6(

Answers

Answer:

Ummm, how are we suppose to answer that?

Step-by-step explanation:

Be more specific

an someone please solve this -18=m+12

Answers

Answer:

m = ‐ 30

Step-by-step explanation:

it is because I say it is

The answer is neg 30 (-30).

PLEASE HELP ITS DUE RIGHT NOW

Answers

Answer: C

Explanation: the square root of 20 plus 2 equals approximately 6.47. This fits the number line

Hope this helps ;)

Doctors are interested in seeing if lifting weights to alleviate back pain is effective. Twenty five volunteers are asked to rank their level of pain on a scale from one to ten. For the next two months, they then exercise for 2 months with a physical therapist. The volunteers focus on different weight lifting exercises that strengthen the back. Twenty five volunteers are again asked to rank their level of pain on a scale from one to ten. Was the amount of pain less after completing the exercises? What type of test would they conduct to test this claim?

Answers

Answer:

Comparing means from dependent samples.

Step-by-step explanation:

In the scenario described above, the 25 sampled individuals were used to test the effect of weightlifting on alleviating back pain. The samples used were not changed nor altered during the study as the same subjects who were tested to measure their level of pain before lifting weight were the same group subjected to the actual weight lifting test and again had their level of pain tested. Since only one group was involved in the study ( a single group was tested on neutral and actual treatment). Hence, the study used dependent samples to compare the average level of pain.

Jasmine bought a ticket to the Jets game. She got a 25% discount on her ticket but then had to pay a 10% service fee on the discounted price. Jasmine’s final ticket price was what percent of the original ticket price?

Answers

Answer:

15%

Step-by-step explanation:

There is a population of 17 bacteria in a colony. If the number of bacteria doubles every 229 hours, what will the population be 458 hours from now?

Answers

Answer:

68

Step-by-step explanation:

Step 1: Divide the asked hours by hours need to double

Step 2: Double the initial number of the population as per the result from step 1.

First divide 458 by 229, you will get 2

Now you double the initial population number twice

so 17 * 2 = 34 and again 34 * 2 = 68

1. What is the equation of a parabola that has a vertex at (-2, 4) and goes through the point (0,8)?

Answers

Answer:

y - k = (x + 2)^2

Step-by-step explanation:

The vertex equation of a vertical parabola is

y - k = a(x - h)^2, where (h, k) is the vertex.

We are given h = -2, k = 4, x = 0 and y = 8 and need to find the value of a.

8 - 4 = a(0 + 2)^2, or

4 = 4a, so a must be 1.

Then the desired equation is:

y - k = (x + 2)^2

WHAT IS IT? ASAP pls! Brainpower and points

Answers

y=1/2x is the equation

Calculate the area of a regular octagon if the radius is 10 cm long.

Answers

Answer:

Area is A≈282.8 cm  

Step-by-step explanation:

Answer:

A=2(1+ √2)a2

482.84271

Step-by-step explanation:

:))

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