Answer:
Slope = 
Step-by-step explanation:
(x₁ , y₁) = (-9 , -4) & (x₂ ,y₂) = (-3, -6)
Slope = 
![= \frac{-6-[-4]}{-3-[-9]}\\\\= \frac{-6+4}{-3+9}\\\\= \frac{-2}{6}\\\\= \frac{-1}{3}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-6-%5B-4%5D%7D%7B-3-%5B-9%5D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-6%2B4%7D%7B-3%2B9%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-2%7D%7B6%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-1%7D%7B3%7D)
Answer:
K = 50
L = 90
KML = 40
LMN = 140
Step-by-step explanation:
The sum of the angles in a triangle will always be 180 degrees, and in the triangle pictured, we know the value of each angle. We can say that
5x + 4x + 9x = 180
18x = 180
x = 10
Now that we know the value of x, we can figure out the value of the angles.
K = 5x = 50
L = 9x = 90
KML = 4x = 40
A straight line is 180 degrees, so to find angle KMN, you have to subtract KML (4x) from 180
180 - 4x = 180 - 40 = 140
Answer:
6^8
Step-by-step explanation:
6^4 * 6^4
We know that a^b * a^c = a^( b+c)
6^(4+4)
6^8
Answer:
7.64% probability that they spend less than $160 on back-to-college electronics
Step-by-step explanation:
Problems of normally distributed samples can be solved using 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 problem, we have that:

Probability that they spend less than $160 on back-to-college electronics
This is the pvalue of Z when X = 160. So



has a pvalue of 0.0763
7.64% probability that they spend less than $160 on back-to-college electronics
Answer:
the standard form of equation is in the form of
x - 9y = -45 , so the answer is B