Hey there!!
Given equation :
... 2 ( x - ( 3 + 2x ) + 9 ) = 3x - 8
Using the distributive property.
... 2 ( x - 3 - 2x + 9 ) = 3x - 8
... 2 ( -x + 6 ) = 3x - 8
Using the distributive property.
... -2x + 12 = 3x - 8
Subtracting 12 on both sides.
... -2x = 3x - 8 - 12
... -2x = 3x - 20
Subtracting 3x on both sides.
... -2x - 3x = -20
... -5x = -20
Dividing by -5 on both sides.
... x = -20 / -5
... x = 4
<em>Hence, the answer is 4. </em>
Hope my answer helps!
7/8 = 0.875
14/16 = 0.875
Therefore, 7/8 = 14/16
Answer:
The minimum score of those who received C's is 67.39.
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 69.5 percent of the students received grades of C or better, what is the minimum score of those who received C's?
This is X when Z has a pvalue of 1-0.695 = 0.305. So it is X when Z = -0.51.




The minimum score of those who received C's is 67.39.
Answer:
The cosine of ∠V is of 0.74.
Step-by-step explanation:
Relations in a right triangle:
The cosine of an angle is given by the length of the adjacent side divided by the length of the hypotenuse.
XW = 65, WV = 97, and VX = 72.
, and thus, this is a right triangle.
What is the value of the cosine of ∠V to the nearest hundredth?
The hypotenuse is the largest side, that is, WV = 97.
The adjacent side of angle V is VX = 72. So

The cosine of ∠V is of 0.74.