Answer:
m=2 and b=-8
Step-by-step explanation:
This equation is organized in slope-intercept form, y=mx+b. In this form, m is the slope and b is the y-intercept.
When given the equation, y=2x-8, we can see that 2 is in the place of m and -8 is in the place of b. The reason the y-intercept isn't 8 is that y=2x-8 can be written as y=2x+(-8) since y=mx+b involves addition. Therefore, the slope is 2 and the y-intercept is -8.
m=2 and b=-8
I hope this helps!
Answer:
d ≈ 3.6 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = (6, - 7 ) and (x₂, y₂ ) = (3, - 5 )
d = 
= 
= 
= 
= 
≈ 3.6 ( to the nearest tenth )
Options a and b are the algebraic expressions
Answer:
90 degree angle.
Step-by-step explanation:
Right triangles must have a 90 degree angle or it is not a right triangle.
Answer:
10.03% probability of getting a cup weighing more than 8.64oz
Step-by-step explanation:
Problems of normally distributed samples are 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 question, we have that:

What is the probability of getting a cup weighing more than 8.64oz
This is the 1 subtracted by the pvalue of Z when X = 8.64. So

has a pvalue of 0.8997
1 - 0.8997 = 0.1003
10.03% probability of getting a cup weighing more than 8.64oz