Answer: 24m-28
Step-by-step explanation:
According to the distributive property ,
, where a, b and c are any arbitrary expressions.
Given expression : 
By using distributive property , we have
![(6m - 7)\cdot 4= (6m)(4)-(7)(4)\\\\= (6)(4)(m)-28 \ \ \ [\text{By associative property}]\\\\=24m-28](https://tex.z-dn.net/?f=%286m%20-%207%29%5Ccdot%204%3D%20%286m%29%284%29-%287%29%284%29%5C%5C%5C%5C%3D%20%286%29%284%29%28m%29-28%20%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20associative%20property%7D%5D%5C%5C%5C%5C%3D24m-28)
Hence, the required equivalent expression is 24m-28.
Answer:
- 3 \frac{4}{5} + 1 \frac{2}{5}
= -frac{19}{5} +frac{7}{5}
= frac{-19+7}{5}
= frac{-12}{5}
= -2frac{2}{5}
5 \frac{3}{5} - 7
= -2+\frac{3}{5}
= frac{-10+3}{5}
= frac{-7}{5}
= -1\frac{2}{5}
Step-by-step explanation:
Answer:
14.1
Step-by-step explanation:
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