Answer:
The number is -2
Step-by-step explanation:
step 1
Find the reciprocal of 2/3
Remember that when multiply a number by its reciprocal, the result is 1
so
The reciprocal of 2/3 is 3/2
step 2
Let
x-----> the number added to the numerator and denominator

Solve for x

step 3
verify

substitute x=-2


Simplify
----> is ok
therefore
The number is -2
Answer:
- <em><u>The female has a higher count relative to the sample of females than the male relative to the sample of males.</u></em>
Explanation:
When you want to compare the means of two samples with different statistics you may use the z-score.
The z-score measures how far a value (data point) is from the mean, in terms of the standard deviation.
The z-score is calculated as:

Where:

<u>1. Male with a count of 5.58 </u>

<u />
<u>2. Female with a count of 5.23</u>

Therefor, the z-score of the female is greater than the z-score of the male.
The greater z-score means that, relative to her group, the female has a higher count than the male.
Answer:
y = -4x + 8
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: 
Step 1: Find slope <em>m</em>
<em />
<em />
<em />
<em />
m = -4
y = -4x + b
Step 2: Find y-intercept <em>b</em>
4 = -4(1) + b
4 = -4 + b
8 = b
Step 3: Rewrite linear equation
y = -4x + 8
In this problem there might be a number that you need to add before the "( x 3)" then your answer will be 20 = 32 - 12 = 20
Answer:
calories
Step-by-step explanation:
Given: The racer moves at
miles per hour expends energy at a rate of
calories per hour.
To find: Energy in calories, required to complete a marathon race
miles at this pace.
Solution: We have,
The racer moves at
miles per hour.
The racer expends energy at a rate of
calories per hour.
So, energy expended while moving
miles
calories.
Now, energy expended while moving
mile
calories.
So, energy expended while moving
miles
calories.
Hence,
calories of energy is required to complete a marathon race
miles at this pace.