A local arts council has 200 members. The council president wanted to estimate the percent of its members who have had experience in writing grants. The president randomly selected 30 members and surveyed the selected members on their grant-writing experience. Of the 30 selected members, 12 indicated that they did have the experience. Have the conditions for inference with a one-sample z -interval been met

Answers

Answer 1

Answer:

Yes the sample can be use to make inference

Step-by-step explanation:

The inference is possible if the conditions:

p*n > 10      and   q*n > 10

where p and q are the proportion probability of success and q = 1 - p

n is sample size

Then   p = 12 / 30  = 0,4         q =  1 - 0,4    q  =  0,6

And  p*n  =  0,4 * 30  = 12            12 > 10

And  q*n  = 0,6 * 30   = 18            18 > 10

Therefore with that sample the conditions to approximate the binomial distribution to a Normal distribution are met

Answer 2

To check the condition for inference with a one sample z-interval, we have to divide randomly selected member by total number of arts council.

No, the sample size is not less than 10% of the population size,

Given:

The total number of council member are 200.

The randomly selected members are 30 .

Calculate the ratio of randomly selected members and total number of council member.

[tex]\dfrac{n}{N}=\dfrac{30}{200}\\\dfrac{n}{N}=0.15\\\dfrac{n}{N}=0.15>0.10[/tex]

Thus, No, the sample size is not less than 10% of the population size.

Learn more about z-interval here:

https://brainly.com/question/7204089


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r=9

Step-by-step explanation:

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Answer:

3x-3 i think

Step-by-step explanation:

9x-6x = 3x 5-8 = -3

(9*+5)-(6*-8)=93 think me later

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g(x) = 2x2 + x + 25


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Answer:

Step-by-step explanation:

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One could be 3/5
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Answer:

3/5 and 18/30

Step-by-step explanation:

Extending answer so I can send

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Answer: 54

Step-by-step explanation:

Since the triangles are similar, the sides form s equalivent proportion. The hypotunse of the bigger triangle and the smaller triangles correspond with each other and the base of the smaller and larger triangle correspond so we use this proportion: hypo. of big triangle/ base of larger triangle= hypo of smaller triangle/ base of smaller triangle.

Let substitue: 52.5/x= 5/4: ( I  Reduce 15/12 into 5/4).Cross multiply:    210=5x: Divide by 5 both sides. x=42. Then add the 42 and and the 12 to find the whole distance which is 54.

If mGHJ = 27 and mGHK = 87, what is the measure of mJHK

Answers

Answer:

114 degrees

Step-by-step explanation:

From the letters that describe the rays, these two angles are adjacent to each other, and therefore, if the measure of one is 27 degrees and that of the other one is 87 degrees, then the larger angle defined by the two rays (HJ and HK) with common vertex H would be:

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(a+b)2= -------/
correct answer please​

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Answer:

[tex]a^{2}+2ab+b^{2}[/tex]

Step-by-step explanation: Use pascal triangle or foil method

During a ​5-year ​period, 24​% of snowstorms in a certain city caused power outages. 57 of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the ​5-year period.

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Answer: my 8 year old step sis likes me

Step-by-step explanation: plz help

y
D"
B
B"
A"
F1
А
Nt
-3
1
A
D'
+-1
-2
B
C
The figure shows three parallelograms: ABCD, ABCD, and A'B'C'D'.

Answers

What is the question??

what is the product? 1/2*[12,64 -78,30]

Answers

Solution

1/2*12 , 1/2*64 , 1/2*-78 , 1/2*30

Product = [6, 32, -39, 15]

can someone help help meee fasttt!​

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Answer:

2

Step-by-step explanation:

Plug in all of the values then solve using order of operations

y+(x^2)z

4+(-1^2)(-2)

4+1(-2)

4+(-2)

4-2=2

The amount of money in an account, n, is increased by 4%. Which expression represents the
total value in the account?
A) 1.04
B) 0.04
+ 1.04
D) n + 0.04
ОВ
ОА
ОС
OD
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Answer:

howwwwwww\

Step-by-step explanation:

so u ae so smart

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Step-by-step explanation:

3.1083.183.75.57

think it's right :)

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Answer:

this statement says that the sum of -3 times x and 1is equal to or smaller than -5

Someone please help!!!!!

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If the data below were represented by a comparative bar chart, the bar
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Answer:

b right handed boys

Step-by-step explanation:

Prove that the value of the expression a^2–a is divisible by 2 for any whole value of a.

Answers

Answer with explanation:

To prove: [tex]a^2-a[/tex] is divisible by 2 for any whole value of a.

Consider [tex]a^2-a=a(a-1) \ \ \ \ [\text{ Taking 'a' out as common }][/tex]

Here, a and (a-1) are two consecutive numbers such that,

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5ths akashegskwveisvebekaks

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Answers

Answer:

You got it right don't worry!

Step-by-step explanation:

It's most likely because the forms can be kinda tricky. If you don't put the exact answer your teacher put as correct, then it will mark it as wrong. I'd say just ask your teacher to look it over.

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Answers

Answer:

dimes=8

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Step-by-step explanation:

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Answers

Given:

The graph of a function.

To find:

The range of the function.

Solution:

Range is the set of y-values or output values.

From the given graph it is clear that,

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Answer:

D. y is all real numbers.​

Step-by-step explanation:

Range is the set of y-values or output values.

From the given graph it is clear that,

And the value function can be any real number. So,

Range =

Range =

Range = y is all real numbers.​

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Answers

Answer:

2x+2x2=32

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Step-by-step explanation:

Use inverse operations to solve the equation.
r - 18.7 =-6.6

Answers

Answer:

r = 12.1

Step-by-step explanation:

r - 18.7 = -6.6

 + 18.7   + 18.7 ( add 18.7 to both sides)

r = -6.6 + 18.7

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brainliest? :)

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1
1
1
1
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Answers

Answer:

147.03 sq.cm.  

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Equation for finding the area of a parallelogram:  

b·h=area

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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every computer that a business owner purchases will lose most of its value after 5 years of use. the owner plans to purchase a computer for $2.100 and replace it after 4 years.

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Answers

Answer:

Step-by-step explanation:

a) Data and Calculations:

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