Answer:
76
Step-by-step explanation:
The two angles are vertical angles so they are equal
3x+7 = 4x-16
Subtract 3x from each side
3x-3x+7 = 4x-3x-16
7 = x-16
Add 16 to each side
7+16 = x-16+16
23 =x
We want YAX
YAX = 3x+7
3*23+7
69+7
76
A straight line is 180 degrees.
180 - 62 = 118
118 = 5x +58
subtract 58 from both sides
60 = 5x
divide by five on both sides
12 degrees = x
Answer: 57
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Explanation:
Convert each raw score to a z score
If x = 63.4, then
z = (x-mu)/sigma
z = (63.4-72.3)/8.9
z = -1
if x = 81.2, then
z = (x-mu)/sigma
z = (81.2-72.3)/8.9
z = 1
So P(63.4 < x < 81.2) is the same as P(-1 < z < 1)
Through the empirical rule (aka the 68-95-99.7 rule), we know that roughly 68% of the data values are within one standard deviation of the mean. In other words
P(-1 < z < 1) = 0.68 approximately (see note below)
Multiply 0.68 by the total 84 to get
0.68*84 = 57.12
which rounds to 57 people
Note: we can use a calculator to get a more accurate result of 0.68268949; a data table works as well but it won't be as accurate. For the purposes of this problem, the value 0.68 is good enough
Answer:
8.4
Step-by-step explanation:
The diagonals of a rectangle are equal.
That means WY = XZ
16x+2 = 36x-6
Subtract 16x from each side.
16x -16x+2 = 36x-16x-6
2 = 20x -6
Add 6 to each side
2+6 = 20x-6+6
8 = 20x
Divide by 20
8/20 = 20x/20
2/5 =x
We want to find the length of the diagonal
WY = 16 ( 2/5) +2
Changing to decimal form
WY =16 * .4 +2
WY =6.4+2
= 8.4
The answer is 254. You want 299 with 15% off
