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3 years ago

Help!!! Please will give points

Mathematics

1 answer:

galben [10]3 years ago

3 0

Option D:

The solution to the equation is y = 27.

Solution:

Given equation:

$$\frac{1}{3} y=9$

To solve this equation:

$$\frac{1}{3} y=9$

Multiply by 3 on both sides of the equation.

$$3 \times \frac{1}{3} y=9 \times 3$

3 in the numerator and denominator get canceled.

y = 9 × 3

y = 27

The solution to the equation is y = 27.

Option D is the correct answer.

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z= (X – μ) / (s / sqrt(n))

Where,

X = sample mean = 8.6 lb to 14.6 lb

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z = (14.6 – 11) / (6 / sqrt4)

z = 1.2

Using the standard distribution table for z:

Probability (x = 14.6 lb) = 0.8849

Therefore the probability that the mean weight will be between 8.6 and 14.6 lb:

Probability (8.6 ≤ x ≤ 14.6 ) = 0.8849 - 0.2119

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3 years ago

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Answer:

Step-by-step explanation:

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2 years ago

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3 years ago

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Answer: The running time should at least 119.32 seconds to be in the top 5% of runners.

Step-by-step explanation:

Let X= random variable that represents the running time of men between 18 and 30 years of age.

As per given, X is normally distrusted with mean $\mu=93\text{ seconds}$ and standard deviation $\sigma=16\text{ seconds}$ .

To find: x in top 5% i.e. we need to find x such that P(X<x)=95% or 0.95.

i.e. $P(\dfrac{X-\mu}{\sigma}$

$P(Z$

Since, z-value for 0.95 p-value ( one-tailed) =1.645

So,

Hence, the running time should at least 119.32 seconds to be in the top 5% of runners.

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3 years ago