There are 5 times as many boys as girls in a school.

Mathematics

2 answers:

klio [65]3 years ago

6 0

I think the answer is 675:)

Artist 52 [7]3 years ago

3 0

There should be 675 boys

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The average life of individual is 70 years. With a standard deviation of 5.5 years. Assume that the lives of these individuals i

Harlamova29_29 [7]

Answer:

The answer is below

Step-by-step explanation:

Given that:

mean (μ) = 70 years, standard deviation (σ)= 5.5 years.

a) The z score measures how many standard deviation a raw score is above or below the mean. It is given as:

$z=\frac{x-\mu}{\sigma}$ , for a sample size of n, the z score is: $z=\frac{x-\mu}{\sigma/\sqrt{n} }$

Given a sample of 5 turtles, we have to calculate the z score for x = 60 and x = 80.

For x = 60:

$z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{60-70}{5.5/\sqrt{5} } =-4.07$

For x = 80:

$z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{80-70}{5.5/\sqrt{5} } =4.07$

The probability that a mean life of a random sample of 5 such turtles falls between 60 and 80 years = P(60 < x < 80) = P(-4.07 < z < 4.07) = P(z < 4.07) - P(z < -4.07) = 1 - 0 = 1 = 100%

b) The z score that corresponds to top 10% is -1.28.

$z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\-1.28=\frac{x-70}{5.5/\sqrt{5} }\\ x-70=-3\\x=70-3\\x=67\ years$

3 0

3 years ago

Answer question and show work please

SCORPION-xisa [38]

The recipes include: $\frac{1}{2}$ $\frac{3}{8}$ $\frac{3}{10}$
finding their lcm gives:
$\frac{12,20,15}{40}$
arranging them
$\frac{3}{10}$ $\frac{3}{8}$ $\frac{1}{2}$
please mark as brainliest

5 0

3 years ago

Passes through (3,5) and (-1,5)

AlladinOne [14]