Answer:
314
Step-by-step explanation:
If this an angle on a straight line the answer is k=73°
Answer:
The actual SAT-M score marking the 98th percentile is 735.
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:

Find the actual SAT-M score marking the 98th percentile
This is X when Z has a pvalue of 0.98. So it is X when Z = 2.054. So




Answer:
BC=25
Step-by-step explanation:
this is an isosceles triangle, so sides AB and sides AC are equal
AB = AC
4x+1 = 2x+23
subtract 2x from each side
2x+1 = 23
subtract 1 from each side
2x =22
divide by 2 on each side
x =11
BC = 3x-8
substitute the value of x
BC = 3*11 -8
BC = 33 -8
BC=25
Answer:
25% of students voted for the athlete
Step-by-step explanation:
First you need to know how many students are in total. In this case there is 60, 15+45
Then you write it as a fraction

because 15 voted for athlete out of the 60 students.
After this you need to divide 15÷60 which is . 25 then you transform that number into a percent which is 25%