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Alexeev081 [22]
2 years ago
15

Assume the population of human body temperatures has a mean of 98.6 degrees Fahrenheit as is commonly believed. Assume the stand

ard deviation is .62 degrees Fahrenheit. Find the probability that the mean of a sample of 106 randomly selected humans is lower than 98.5 degrees Fahrenheit. Write your answer using a decimal. Be sure to use the appropriate rounding rules.
Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
4 0

The probability that the mean of a sample of 106 randomly selected humans is lower than 98.5°F is 4.85%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Z score is given as:

z = (raw score - mean) ÷ (standard deviation/√sample size)

Given mean of 98.6°F,  standard deviation is 0.62°F, sample size = 106

For x < 98.5:

z = (98.5 - 98.6) ÷ (0.62÷√106) = -1.66

P(z < -1.66) = 0.0485

The probability that the mean of a sample of 106 randomly selected humans is lower than 98.5°F is 4.85%

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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Alex

\text{if }x>7\text{, then }|x|>7 is a valid argument

|y|>7\text{, so }y=7 is not a valid argument

For the first argument: \text{if }x>7\text{, then }|x|>7

From the definition of absolute value function

|x|=x   if x\ge0

That is every positive number is its own absolute value. Since

x>7\implies x\ge0,

we can argue that

x>7\implies |x|>7

so the first argument is valid

For the second argument: |y|>7\text{, so }y=7

From the definition of absolute value function

|y|:=\left \{ {y\text{  if }y\ge0}\atop{-y\text{  if }y

This means that

|y|>7:=\left \{ {y>7\text{  if }y\ge0}\atop{-y>7\text{  if }y

or

|y|>7:=\left \{ {y>7\text{  if }y\ge0}\atop{y

no part of the definition allow for the option y=7. So the second argument is not valid.

Learn more here: brainly.com/question/11897796

7 0
3 years ago
I NEED HELP!!! What is is this ----&gt; 3x - 3y = 3 12x + 8y = -8 <br> x = what <br> y = what
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Answer:

3x = 3 + 2y -------------> 3x - 2y = 3 {subtracted 2y from each side of top equation}

(-4/3)x + y = -2/3 ------> -4x + 3y = -2 {multiplied bottom equation by 3}

3x - 2y = 3 ------> 12x - 8y = 12 {multiplied top equation by 4}

-4x + 3y = -2-----> -12x + 9y = -6 {multiplied bottom equation by 3}

12x - 8y = 12

-12x + 9y = -6

--------------

y = 6 {added the two equations}

3x = 3 + 2y {original top equation}

3x = 3 + 2(6) {substituted 6, in for y, into top equation}

3x = 3 + 12 {multiplied}

3x = 15 {added}

x = 5 {divided each side by 3}

x = 5 and y = 6

Step-by-step explanation:

5 0
3 years ago
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zhannawk [14.2K]
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3 years ago
Rounding or compatible 328+127=
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Answer:

455

Step-by-step explanation:

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Answer:

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