MATHEMATICS HIGH SCHOOL

In a small company of 10 people the salaries are as follows: 5 people earn $25,000, 3 earn $27,000, 1 earns $34,000, and the owner earns $60,000 What is the mean and standard deviation (to the nearest dollar) of their salaries?Mean salary: $a0

Standard Deviation: $_a1

Answers

Answer 1

Answer:

Answer:

The mean is 30000 and standard deviation is 9746.79.

Step-by-step explanation:

Formula of mean

$Mean=\bar{x}=(\sum x_i)/(n)$

Formula of standard deviation:

$S.D.=\sigma=\sqrt{\frac{\sum{(x-\bar{x})^2}}{n}}$

Using the below table.

$Mean=\bar{x}=30000$

$S.D.=\sigma=9746.794345\approx 9746.79$

Therefore the mean is 30000 and standard deviation is 9746.79.

Answer 2

Answer: The mean is 30,000

The standard deviation is 10,893.42

What do you mean by a0 and a1?

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Len is baking a square cake for his friend wedding. When served to the guests, the cake will be cut into square pieces 1 inch on the side. The cake should be large enough so that 121 guests get one piece. How long should each side of the cake be?
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Which of these is a simplified form of the equation 8y + 6 = 7 + 2y + 3y?3y = 1 8y = 6 13y = 13 5y = 13

An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 334 people living in East Vancouver and finds that 43 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.03. How large a sample should she take to achieve this?

Answers

Answer:

The sample should be as large as 480

Step-by-step explanation:

Probability of having a flu, p = 43/334

p = 0.129

Margin Error, E = 0.03

Confidence Interval, CI= 95%

At a CI of 95%, $z_(crit) = 1.960$

The sample size can be given by the relation:

$n = p(1-p)(z/E)^(2)$

$n = 0.129(1-0.129)(1.960/0.03)^(2) \nn = 479.59\nn = 480$

Final answer:

To determine the sample size needed to estimate the population proportion with a desired margin of error, we can use the formula n = (z^2 * p * (1-p)) / (E^2), where n is the required sample size, z is the z-score corresponding to the desired level of confidence, p is the estimated proportion of the population with the characteristic, and E is the desired margin of error. Plugging in the given values, the epidemiologist should take a sample size of approximately 3245 in order to achieve her desired margin of error.

Explanation:

To determine the sample size needed to estimate the population proportion with a desired margin of error, we can use the formula:

n = (z^2 * p * (1-p)) / (E^2)

Where:

n is the required sample size
z is the z-score corresponding to the desired level of confidence (in this case, 95% confidence)
p is the estimated proportion of the population with the characteristic (in this case, the proportion of people with the flu in East Vancouver)
E is the desired margin of error (in this case, 0.03)

Plugging in the given values:

n = (z^2 * p * (1-p)) / (E^2) = (1.96^2 * 0.129 * 0.871) / (0.03^2) ≈ 3244.42

So, the epidemiologist should take a sample size of approximately 3245 in order to achieve her desired margin of error.

Learn more about Calculating Sample Size here:

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Write an integer for: a deposit of $45 * Plz help fast!

Answers

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

What are integers?

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of a/b where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

We have to write an integer for: a deposit of $45 *

A deposit is positive, therefore the integer will be positive.

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

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Answer:

$45

Step-by-step explanation:

A deposit is positive, so the integer will be positive.
An integer is a whole number that's not a fraction, so a positive integer for 45, would be 45.

I hope this helps!

The ratio of boys to girls in a homeroom at berkmar Middle School is 3:4. If there are 12 boys, how many girls are there in homeroom?

Answers

Answer:

Step-by-step explanation:

Pls pls help me bro i’m abt to fail

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10 hours babysitting and 3 tutoring

Five less than a number is at least -28

Answers

Five less than a number is at least -28

n-the number

n - 5 < -28 |add 5 to both sides
n < -23

Can someone help me match these up? i know the given is number one I need help with the rest.1.line RS || segment AB, ∠1=∠2
2.∠B = ∠1
3.∠A = ∠2
4.∠A = ∠B
5.RA = RB

A: If two ∠'s of a triangle are =, sides opposite are =
B: If lines ||, alternate interior ∠'s =
C: Given
D: Substitution
E: If lines ||, corresponding ∠'s are =

Answers

Answer:

1-C, 2-E, 3-B, 4-D, 5-A

Step-by-step explanation:

Firstly, from the figure, it is shown that line RS is parallel to the line segment AB and ∠1=∠2. Therefore, 1 matches with C.

Now, from the definition of parallel lines, the corresponding angles are always equal, therefore ∠B=∠1. Therefore, 2 matches with E.

Since, we are given that the lines are parallel, therefore by property of parallel lines, alternate angles are always equal. Therefore, ∠A=∠2. Hence, 3 matches with B.

Now, we know that ∠B=∠1 and ∠A=∠2, also that ∠1=∠2, therefore from these equations, ∠A=∠B. Hence, 4 matches with D.

If two angles of the triangle are equal that is ∠A=∠B, then the sides opposite to equal angles are always equal, therefore, RA=RB. Hence, 5 matches with A.

$C-1\nE-2\nB-3\nD-4\nA-5$