Let's solve this equation and put the words with it along the way.
1) 7x = 2(x - 5) [given: this is, well, the problem]
2) 7x = 2x - 10 [Distributive Property: 2 was distributed throughout (x-5)]
3) 5x = -10 [Subtraction Property of Equality: We subtracted 2x on both sides]
4) x = -2 [Division Property of Equality: We divided both sides by 5]
Hope this helps!
Step-by-step explanation:
........4x-y=11........
Answer:
22.86% probability that the persons IQ is between 110 and 130
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:

If one person is randomly selected what is the probability that the persons IQ is between 110 and 130
This is the pvalue of Z when X = 130 subtracted by the pvalue of Z when X = 110.
X = 130



has a pvalue of 0.9772
X = 110



has a pvalue of 0.7486
0.9772 - 0.7486 = 0.2286
22.86% probability that the persons IQ is between 110 and 130
1 2/3 divided by 3/16
5/3 / 3/16
KCF (Keep, Change, Flip)
5/3 * 16/3
5 * 16 = 80
3 * 3 = 9
5/3 * 16/3 = 80/9
8 8/9
Hope this helps!
Answer:
C
Step-by-step explanation:
the sum of complementary angles = 90°, hence
x + 5 + x - 9 = 90
2x - 4 = 90 ( add 4 to both sides )
2x = 94 ( divide both sides by 2 )
x = 47
Thus ∠DFG = 47 + 5 = 52° and ∠JKL = 47 - 9 = 38°