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emmasim [6.3K]
3 years ago
14

From a recent company survey, it is known that the proportion of employees older than 55 and considering retirement is 8%. For a

random sample of size 110, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?
Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0

Answer: 2.845

Step-by-step explanation:

The formula to find the standard deviation is given by :-

\sigma=\sqrt{n(1-p)p}, where p is the probability of getting success in each trial and n is the sample size.

Given : Sample size : n=110

The proportion of employees older than 55 and considering retirement : p=0.08

Then, the standard deviation is given by :-

\sigma=\sqrt{110(1-0.08)0.08}\approx2.845347079\approx2.845

Hence, the standard deviation for the sampling distribution of the sample proportions is 2.845.

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A bag with 2 2/4 ounces of peanuts can make 2/3 of a jar of peanut butter. It can make one full jar with how many ounces of pean
Norma-Jean [14]
One whole jar= 3/3 or 1

Set up a ratio comparing the two sets of measurements.

2 2/4 ounces of peanuts is to 2/3 of a jar as x ounces of peanuts is to 3/3 of a jar.

x= ounces in 1 whole jar

2 2/4 / 2/3= x / 3/3
cross multiply

(2 2/4 * 3/3)= (2/3 * x)
convert to improper fractions

10/4 * 3/3= 2/3x
multiply numerators; multiply denominators

(10*3)/(4*3)= 2/3x

30/12= 2/3x
divide both sides by 2/3

30/12 ÷ 2/3= x
to divide fractions, multiply by the reciprocal/inverse of 2/3

30/12 * 3/2= x
multiply numerators; multiply denominators

(30*3)/(12*2)= x
90/24= x
simplify by 6

15/4 or 3 3/4 ounces= x


ANSWER: 3 3/4 ounces can make a full jar.

Hope this helps! :)
3 0
4 years ago
First, decide whether the distribution is a discrete probability distribution, then select the reason for making this decision.
Lyrx [107]

It is not a <u>probability distribution</u>, as the sum of the probabilities is more than 1, thus, the correct option is No, considering that:

c) Since the sum of the probabilities is not equal to 1.

-----------------------------------------

For the sequence (x, P(X = x)) representing a probability distribution, it is needed that:

  • All probabilities are between 0 and 1, that is, for all values of x, 0 \leq P(X = x) \leq 1.
  • The sum of all probabilities is 1, that is: \sum_{i = 1}^n P(x_i) = 1

In this problem, the sum of the probabilities is:

\sum_{i = 1}^n P(x_i) = 0.39 + 0.69 + 0.12 = 1.20

<u>Sum is not 1,</u> thus it is not a probability distribution, and the correct option is:

c) Since the sum of the probabilities is not equal to 1.

A similar problem is given at brainly.com/question/24858659

8 0
3 years ago
The ABC Toy Company is creating two similar pieces for a board game, as shown below. How could the toy maker confirm that the pi
kati45 [8]

Answer:

The company can confirm that the pieces are similar by verifying that the relationship between the sides of the parts in the drawing created with MS Visio, of the diagram in a similar question found online, are;

\dfrac{\overline {RS}}{\overline {XZ}} = \dfrac{\overline {RT}}{\overline {XY}} = \dfrac{\overline {ST}}{\overline {ZY}}

Step-by-step explanation:

The definition of similarity is the quality of two or more objects having a common definitive property

Two objects in Euclidean geometry are similar if they are similar in shape and parameters of one shape can be obtained from the other by the application of a uniform scale and/or translation, reflection and rotation

The ABC toy maker could confirm that the pieces are similar by verifying that the corresponding sides of the two shapes have a common ratio

4 0
3 years ago
Read 2 more answers
In combining like terms, what do these equations equal?
tester [92]

Answer:

Look below. The answers are bolded!

Step-by-step explanation:

1.   <em>10x + 23</em>

5+6(2x+3)-2x

Distribute first!

5 + 12x + 18 -2x.

Now you can combine like terms.

23 + 10x



2.   <em>18x + 6</em>

3(4x+8) + 3(2x-6)

Distribute first!

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Now you can combine like terms.

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3. <em>-2x + 8</em>

(32-8x)

____ ___

     4

Divide 32 and -8x by 4.


32/4 = 8

-8x/4 = -2x


-2x + 8



4. <em>4x + 3</em>

24x+18

______

    6


Divide 24x and 18 by 6

24x/6 = 4x

18/6 = 3


4x + 3

 




7 0
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There re 798 calories in 10 ounce bottles of apple juice how many clalories afe there i 10 ounce bottle of appe juice
Inga [223]
798 calories..? because you just said it?
6 0
3 years ago
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