Answer:

Step-by-step explanation:
The z-score tells us how many standard deviations a value is away from the mean.
The formula is:

where x is the value,
is the mean, and s is the standard deviation.
We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.

Substitute the values into the formula.

Solve the numerator.

Divide.

The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.
Answer:
5.0
Step-by-step explanation:
The data in order looks like so:
98.6, 99.7, 100.2, 101.8, 102.9, 103.6
Take the greatest value and subtract it from the least value to get the range of the data:
103.6-98.6=5
5 is your answer
Hope this helps!
Answer:
h = - 105
Step-by-step explanation:
Given
= - 7.5 ( multiply both sides by 14 to clear the fraction )
h = - 105
The answer to your question would be 0.01
Answer:
∠ADB≅∠ABC by the Alternate Interior Angles Theorem
∠CAD≅∠ACB by the Alternate Interior Angles Theorem
∠BAD and ∠ADV are supplementary by the Consecutive Interior Angle Theorem
∠ABC and ∠BCD are supplementary by the Consecutive Interior Angle Theorem