Answer:
x = -9
Step-by-step explanation:
2x + 8( x + 3 ) = 3( x - 13 )
Dstribute;
2x + 8 ( x + 3 ) = 3 ( x - 13 )
2x + ((8)(x)) + ((8)(3)) = ((3)(x)) - ((13)(3))
2x + 8x + 24 = 3x - 39
Combine like terms;
2x + 8x + 24 = 3x - 39
10x + 24 = 3x - 39
Inverse operations;
10x + 24 = 3x - 39
-3x -3x
7x + 24 = -39
-24 -24
7x = - 63
/7 /7
x = -9
Answer:
The test statistic is Z = 1.157
Step-by-step explanation:
Given that:
The sample size n = 1200
The sample proportion of those that will vote for the Republican candidate is represented by 


The null and the alternative hypothesis can be computed as:

The formula for the one-sample Z-test for the population proportion can be expressed as:





Z = 1.157
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Answer:
n= 2/-7
Step-by-step explanation:
2/n = -7
Multiply by n: 2= -7n
Divide by -7: n= 2/-7, or n= -0.286
First time the area of the circle and the square.
The radius of the first is 4, so the area of the circle is 16pi.
The area of the square is 32.
You can subtract the area of the circle by the square because some most of the circle is being covered by the square.
16pi-32 is the area of the circle that is visible.
16pi-32:32 can be simplified to pi-2:2
So the probability that a randomly selected point within the circle falls in the white area is
pi-2:2 or in decimal terms, ≈1.14:2