Answer:
7.1 units is the answer
Step-by-step explanation:

Rounding off,
d = 7.1 units
Answer:
m [slope] = 1/12
Step-by-step explanation:
If a line is perpendicular (90 degrees, forms a right angle) to another, the slope of the line must be an opposite reciprocal of the other. The opposite reciprocal of m is -1/m.
An opposite reciprocal is created by flipping the numerator and denominator, and making it negative.
Therefore, if m is -12 it's opposite reciprocal is -1/-12 = <u>1/12</u>.
Answer:
n = 98, that is, she scored at the 98th percentile.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
She scored 38, so 
Test scores are normally distributed with a mean of 25 and a standard deviation of 6.4.
This means that 
Find the percentile:
We have to find the pvalue of Z. So



has a pvalue of 0.98(rounding to two decimal places).
So n = 98, that is, she scored at the 98th percentile.
Answer:
509.380
Step-by-step explanation:
According to Pythagoras,
(19.3)^2 + (11.7)^2 = 509.380
I'm pretty sure it's 5 over 10! Hope I helped =)