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3 years ago

Here is the hair length of a sample of 10 students:

Mathematics

1 answer:

scZoUnD [109]3 years ago

5 0

Answer:

The answer to your question is below

Step-by-step explanation:

Mean

(15 + 4 + 14+ 1.5 + 22 + 2 + 16 + 19 + 18 + 3) / 10

= 114.5/10

= 11.45

Median

1.5 , 2, 3, 4, 14, 15, 16, 18, 19, 22

(14 + 15) / 2

= 14.5

Mode

There is no mode

Standard deviation

Formula

$\sqrt{\frac{(x - xm)^{2}}{n - 1}}$

Standard deviation = 7.5

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Answer:

1 share APEX

Step-by-step explanation:

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3 years ago

Read 2 more answers

Brad used the formula to find the distance in miles, d, he was from a stroke of lightning. In the formula, n is the number of se

murzikaleks [220]

Answer:

10 seconds

Step-by-step explanation:

using the formula we can see that since 30 seconds have passed we divide this by 3 to get 10.

Therefore the answer is 10 seconds

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2 years ago

What is the equation of the line with a slope of -1/2 that passes through the point (6,-6)

Leona [35]

The answer is y=-1/2x-6

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4 years ago

Some parts of California are particularly earthquake- prone. Suppose that in one metropolitan area, 25% of all homeowners are in

aleksandrvk [35]

Answer:

a. Binomial random variable (n=4, p=0.25)

b. Attached.

c. X=1

Step-by-step explanation:

This can be modeled as a binomial random variable, with parameters n=4 (size of the sample) and p=0.25 (proportion of homeowners that are insured against earthquake damage).

a. The probability that X=k homeowners, from the sample of 4, have eartquake insurance is:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{4}{k} 0.25^{0}\cdot0.75^{4}$

The sample space for X is {0,1,2,3,4}

The associated probabilties are:

$P(x=0) = \dbinom{4}{0} p^{0}(1-p)^{4}=1*1*0.3164=0.3164\\\\\\P(x=1) = \dbinom{4}{1} p^{1}(1-p)^{3}=4*0.25*0.4219=0.4219\\\\\\P(x=2) = \dbinom{4}{2} p^{2}(1-p)^{2}=6*0.0625*0.5625=0.2109\\\\\\P(x=3) = \dbinom{4}{3} p^{3}(1-p)^{1}=4*0.0156*0.75=0.0469\\\\\\P(x=4) = \dbinom{4}{4} p^{4}(1-p)^{0}=1*0.0039*1=0.0039\\\\\\$

b. The histogram is attached.

c. The most likely value for X is the expected value for X (E(X)).

Is calculated as:

$E(X)=np=4\cdot0.25=1$

6 0

3 years ago

Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90

Anestetic [448]

Answer:

C. It is just right.

Step-by-step explanation:

We want to compare the ratios ...

bags : liters = 15 : 2

and

bags : liters = 90 : 12

If we multiply the numbers of the first ratio by 6, we see they are identical to those in the second ratio:

(15)(6) : (2)(6) = 90 : 12

The ratio of bags to liters for Peggy's tea matches the ratio Kermit likes. He will think it is just right.

6 0

4 years ago