Answer:
-19
Step-by-step explanation:
Answer:
Step-by-step explanation:
21 roses are white so that is 70%
so that would be 70/100 and can reduce to 7/10
and the percent of red would be 3/10
so we can do 21 divided by 7 which equals 3
then we can do 3 x 3 because 3/10 which equals 9
then you do 21 + 9= 30
so the answer is 30.
Answer:
The answer to your question is these lines are not perpendicular.
Step-by-step explanation:
Data
A (4, 2)
B (-1, 4)
slope = m = 4
Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.
Process
1.- Find the slope of the second line and compare it to the slope given.
slope = 
Substitution
slope = 
Simplification and result
slope = 
-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.
Answer: A'(-3, 7), B'(3, 6), C'(-7, -2)
Step-by-step explanation:
Reflecting over y = x maps (x,y) onto (y,x).
Answer:
99.89% of students scored below 95 points.
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 percent of students scored below 95 points?
This is the pvalue of Z when X = 95. So



has a pvalue of 0.9989.
99.89% of students scored below 95 points.