Answer:
BC = 24
Step-by-step explanation:
Isosceles triangle because <C = <B so AC = AB
Plug in to find x
3x - 15 = x = 33
2x = 48
x = 24
BC = x = 24
Answer:
The slope of the line would be -2.
Step-by-step explanation:
Because the equation is a line, the slope is the same throughout the entire graph on the equation.
Lets let f(x)=y=-2x+4.
f(0) = -2(0) + 4 = 4
f(0)=4
f(1) = -2(1) + 4 = 2
f(1)=2
Use the equation to find slope.
m(slope) =
=
= -2
<em>The slope would be -2.</em>
<em />
Or:
Use the equation y = mx + b where m=slope.
In the equation y=-2x+4, m=-2.
<em>The slope is -2.</em>
Answer:
The z-score for a data value of 121 is -2.29.
Step-by-step explanation:
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:

Find the z-score for a data value of 121.
This is Z when X = 121. So



The z-score for a data value of 121 is -2.29.
<span>The total surface area is SA = 6 </span>×

;
SA = 6 ×

= 6 × 81 = 486

;
Answer:
171
Step-by-step explanation: