Answer:
c=3.
Step-by-step explanation:
∵2*2*2=8,
∴2^3=8.
∵2^c=8,
∴c=3.
9514 1404 393
Answer:
7x +5y = -5
Step-by-step explanation:
You can find the perpendicular line by swapping the x- and y-coefficients, and negating one of them. The new constant can be found by using the given point.
7x +5y = 7(-5) +5(6) = -5
The perpendicular line through (-5, 6) is ...
7x +5y = -5
Answer:
y = -5x/4 - 8
Step-by-step explanation:
Two lines that are perpendicular have slopes that are opposite reciprocals.
Since the slope of the given line is 4/5, the opposite reciprocal of that is -5/4. So the equation has a slope of -5/4.
Since we know the coordinate of a point of the other equation, we can plug that into the point-slope form equation y - y1 = m(x - x1):
y - 2 = -5/4(x-(-8))
Simplify:
y - 2 = -5/4(x+8)
y - 2 = -5x/4 - 10
So the equation in slope-intercept form is:
y = -5x/4 - 8
Answer:
Due to the higher z-score, he did better on the SAT.
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.
Determine which test the student did better on.
He did better on whichever test he had the higher z-score.
SAT:
Scored 1070, so 
SAT scores have a mean of 950 and a standard deviation of 155. This means that
.



ACT:
Scored 25, so 
ACT scores have a mean of 22 and a standard deviation of 4. This means that 



Due to the higher z-score, he did better on the SAT.