Answer:
3x (x² + x + 1)
You could write any trinomial like this
Answer:
294.84
should be correct, I used a calculator.
Answer:
The answer is that each student gets 1.666667 feet of ribbon
Step-by-step explanation:
Answer:
126 degree
Step-by-step explanation:
use alternate angles and linear pair
Answer:
Step-by-step explanation:
f(x) = 3x² -5x - 1
f'(x) =2*3x - 5*1 +0
= 6x - 5
f'(4) = 6*4 - 5
= 24 - 5
= 19
The factors of m2 + 12m + 35
Answer:
(m + 7)(m + 5)
Step-by-step explanation:
Factor, find factors of m² & 35 that, when combined, will give 12m:
m² + 12m + 35
m 7
m 5
(m + 7)(m + 5) is your answer.
Check: Use the FOIL method to check.
(m)(m) = m²
(m)(5) = 5m
(7)(m) = 7m
(7)(5) = 35
Combine like terms:
m² + (5m + 7m) + 35 = m² + 12m + 35 √.
Answer:
(m+7) and (m+5)
Step-by-step explanation:
Just had this on a test
Answer:
a) Z = 0.15
b) Z = -0.76
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.
(a) For a normal distribution, find the z-score that cuts off the bottom 55.76% of all the z-scores.
Bottom 55.76% of the scores are the z-scores with a pvalue of 0.5576 and less. So the z-score that cuts off these scores is Z when X has a pvalue of 0.5576, which is Z = 0.145, rounded to two decimal places, Z = 0.15.
(b) For a normal distribution, find the z-score that cuts off the top 77.52% of area.
The top 77.52% of the scores are the z-scores with a pvalue of 1-0.7752 = 0.2248 and higher. So Z = -0.764 and higher. So the value that cuts off the top 77.52% is Z = -0.76.