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3 years ago

PLEASE HELP!!!!

Mathematics

2 answers:

elixir [45]3 years ago

7 0

The Answer is C 5/6

250/300 reduced and simplified is 5/6

Korolek [52]3 years ago

7 0

Answer:

The probability that the student is right-handed given that the student is a girl is:

$\dfrac{5}{6}$

Step-by-step explanation:

From the tree diagram we have to find the probability that the students is right handed given that the student is a girl.

Let A denote the event that the student is a girl.

and B denote the event that the student is right handed.

We are asked to find the probability:

P(B|A)

We know that P(B|A) is calculated as:

$P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}$

There are a total of 500 students.

Out of which 300 are girls.

( i.e. $P(A)=\dfrac{300}{500}=\dfrac{3}{5}$ )

and out of 300 girls 250 are right handed.

( i.e. $P(A\bigcap B)=\dfrac{250}{500}=\dfrac{1}{2}$ )

Hence,

$P(B|A)=\dfrac{\dfrac{1}{2}}{\dfrac{3}{5}}\\\\\\P(B|A)=\dfrac{5}{6}$

Hence,The probability that the student is right-handed given that the student is a girl is:

$\dfrac{5}{6}$

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Mazyrski [523]

Answer:

Hello,

Step-by-step explanation:

y-intercept: x=0 ,f(0)=-10

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dmitriy555 [2]

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A dolphin in an aquarium is 12 feet long. A scale model of the dolphin is 3.5 inches long. What is the scale factor of the mode?

polet [3.4K]

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3 years ago

Suppose that we want to test the hypothesis with a significance level (alpha) of .05 that the climate has changed since industri

saw5 [17]

Answer: we reject the initial claim

(50. 3802, 51.6198)

Step-by-step explanation:

The initial statement is that the mean temperature throughout history is 50°

This is the null hypothesis and it is denoted as H'

H': u = 50.

After taking a sample of 40 years, we realized that the mean temperature is 51°.

This is the alternative hypothesis, in contradiction to the alternative.

The alternative hypothesis is denoted as H1

H1: u > 50 ( upper tailed).

Sample size (n) = 40

Sample mean (x) = 51

Population standard deviation (σ) = 2

We use a z test to get the value of the test statistics.

We are using a z test because sample size is greater than 30 ( n = 40) and population standard deviation is given.

Z score = x - u/ (σ/√n)

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Z score = 1 / 0.3162

Z score = 3.16

Our level of significance is 5%, and the critical value at this level of significance is 1.645.

By comparing the z score relative to the critical value, since our z score is greater than 1.645, it implies that we are in the rejection region hence we reject the initial claim.

We are to construct a 95% confidence interval for population mean temperature.

For upper limit

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Where Zα/2 = 1.96 which is the critical value for a two tailed test at 5% level of significance.

For upper limit, we have that

u = 51 + 1.96 × (2/√40)

u = 51 + 1.96 (0.3162)

u = 51 + 0.6198

u = 51.6198.

For lower limit, we have that

u = 51 - 1.96 × (2/√40)

u = 51 - 1.96 (0.3162)

u = 51 - 0.6198

u = 50. 3802.

Hence the 95% confidence level for mean temperature is given as (50. 3802°, 51.6198°)

7 0

3 years ago