Answer:
D or answer 4 y=-5/2x+7
Step-by-step explanation:
Well we can first start of by finding the y-intercept.
Note that when x=0, you can find your y-intercept.
Knowing this, and looking at the table, 7 is the y-intercept because when y=7, x=0.
So we can eliminate choices 'a' and 'c,' or answers 1 and 3, because they have the y-intercept as -7, when it's just 7.
Please know that in the equation:
y = mx + b
y = y-coordinate or any given point
mx = slope
b = y-intercept
Now we must find slope
To find the slope we need to do:
(y2 - y1) / (x2 - x1) or rise/run
The two coordinates I choose to use is (0, 7) and (6, -8).
(-8 - 7) / (6 - 0) = -5/2
-5/2 is the slope
Finally, look for an equation that has 7 as the y-intercept and -5/2 as the slope.
Answer: D or answer 4
Step-by-step explanation:
y=7x-10
Answer:
74.86% probability that a component is at least 12 centimeters long.
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 problem, we have that:
Variance is 9.
The standard deviation is the square root of the variance.
So
Calculate the probability that a component is at least 12 centimeters long.
This is 1 subtracted by the pvalue of Z when X = 12. So
has a pvalue of 0.2514.
1-0.2514 = 0.7486
74.86% probability that a component is at least 12 centimeters long.
Answer: 166
Step-by-step explanation:
Number of trophies = 3
Total Legos required for all trophies = 324
Number of Legos for largest trophy(A) = 220
Number of Legos for smallest trophy(B) = 135
Number of Legos required for final trophy(C)
=?
Total Legos = [Number of Legos for largest trophy(A) + Number of Legos for smallest trophy(B) + Number of Legos required for final trophy(C)]
324 = 220 +135 + C
324 = 355 + C
324 - 355 = C
-31 = C
135 + 31 = 166
