Find the value of x and y and show all work.

Step-by-step explanation:

All of the angles are equal because of the congruence marks.

180÷3=60

5y=60

y=12

(5x-6)+(3x+2)=180

2+(-6)= -4

5x+3x=8x

8x+ -4=180

8x=184

184/8=23

23=x

Step-by-step explanation:

Hello!

The FMA Company designed a new type of bowling ball and want to test if the new bowling average differs from the bowling average of the old model. Symbolically μ≠155

Sample:

n= 120 men bowling in scratch leagues

sample mean x[bar]= 170

variance δ²= 100

The hypothesis is:

H₀:μ=155

H₁:μ≠155

α: 0.05

The statistic to use for this hypothesis, assuming that the variable has a normal distribution.

Z= x[bar]-μ ≈ N(0;1)

δ/√n

The critical region for this test is two-tailed, this means you'll reject the null hypothesis to small or big values of the statistic.

= = -1.96

= = 1.96

You'll reject the null hypothesis to values of Z≤-1.96 or Z≥1.96.

Under the null Hypothesis the statistic value is:

Z= x[bar]-μ

δ/√n

Z= 170-155

10/√120

Z= 15/0.913 = 16.42

Decision: Reject the null Hypothesis.

I hope you have a SUPER day!