Answer:
Angle 1 - 51
Angle 2 - 39
Angle 3 - 90
Angle 4 - 51
Angle 5 - 17
Angle 6 - 129
Step-by-step explanation:
Angle 1 = 180 - 90 - 39 = 51
Angle 2 = 90 - Angle 2 (51) = 39
Angle 3 = 90
Angle 4 = 180 - Angle 2 (39) - Angle 3 (90) = 51
Angle 5 = 180- 90 - 34 -39 = 17
Angle 6 = 180 - Angle 4 (51) = 129
Answer:
The correct answer is (5,3)
Step-by-step explanation:
I just did that one:)
Answer:
33
Step-by-step explanation:
Answer: 0.8461
Step-by-step explanation:
Let p be the proportion of residents are against the increase of taxes to fund alternatives to drug addiction treatment.
As per given , we have p=0.40
A random sample is taken with size : n= 400
Expecting sample proportion : 
Now , the probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed will be :

![=P(z>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})\ \ [\because\ z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]](https://tex.z-dn.net/?f=%3DP%28z%3E%5Cdfrac%7B0.375-0.40%7D%7B%5Csqrt%7B%5Cdfrac%7B0.40%280.60%29%7D%7B400%7D%7D%7D%29%5C%20%5C%20%5B%5Cbecause%5C%20z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5D)

[By z-table]
Hence, the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed is 0.8461 .
Answer:
6(x-8)=5-2x
Step-by-step explanation:
let the number be x
so we have six times the difference between a number and 8
that is 6(x-8).
is equal to 5 less than twice the number ..we have
=5-2x.
therefore, our answer becomes:
6(x-8)=5-2x