Answer:
14.63% probability that a student scores between 82 and 90
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:

What is the probability that a student scores between 82 and 90?
This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 82. So
X = 90



has a pvalue of 0.9649
X = 82



has a pvalue of 0.8186
0.9649 - 0.8186 = 0.1463
14.63% probability that a student scores between 82 and 90
Quartic is 4th degree
the factors of an equation with roots r1,r2 is
(x-r1)(x-r2)
4th degree
it could be
(x-r1)¹(x-r2)³ or
(x-r1)²(x-r2)² or
(x-r1)³(x-r2)¹
roots or zeroes at x=-1 and x=-2
(x-(-1)) and (x-(-2))
(x+1) and (x+2)
the function could be factored into
(x+1)¹(x+2)³ or
(x+1)²(x+2)² or
(x+1)³(x+2)¹
expanded would be
x⁴+7x³+18x²+20x+9 or
x⁴+6x³+13x²+12x+4 or
x⁴+5x³+9x²+7x+2
one of those is the answer
Answer:
k=6
Step-by-step explanation:
Line partition formula
1/b(x2-x1)+x1, 1/b(y2-y1)+y1
Where b is the number partitions.
We know the x values so Subsitue 17 for x2 and 2 for x1. and we know this value must equal 7.
1/b(17-2)+2=7
1/b(15)=5
1/b=1/3
b=3
so the partition is 1/3

So let find the y coordinate

So our y coordinate is 6.
Answer:
for the first one- 1/8 0.25= decimal and percent=12.5%
Second 8 boxes and shade in 6 0.75=decimal 75%
Step-by-step explanation:
THE ANSWER IS 70 !!
When you add up all the sides to get 290 and the total amount of the angles is 360 so you subtract 290-360 and you get 70