Answer:
x = 25
Step-by-step explanation:
We know that A and M are on a line, which is 180 degrees, and the little square means 90 degrees. So, ∠RAM = 180 - 90 = 90 degrees.
∠RAM = ∠RAX + ∠XAM
90 = (2x - 10) + (-3x + 125)
Now, simply combine like terms and solve for x:
90 = 2x - 3x - 10 + 125
90 = -x + 115
x = 115 - 90 = 25
Thus, x = 25.
<em>~ an aesthetics lover</em>
Answer- 16
explanation- that’s what it is
Answer:
8. False.
11 and 13 are consecutive prime numbers, but 11 + 13 = 24 and 24 isn't prime.
9. True.
10. True.
11. True
12. False.
13. True.
Answer:
We have strong evidence that on average, students study less than 150 minutes per night during the school week
Step-by-step explanation:
Normal distribution:
mean μ₀ = 150
Sample:
Sample size n = 272
Sample mean x = 141
Sample standard deviation s = 66
The standard error of the sample mean SE = σ /√n
SE = 66/√272
SE = 66 / 16,49
SE = 4
Test Hypothesis:
Null hypothesis H₀ x = μ₀
Alternative hypothesis Hₐ x < μ₀
z(s) test statistics is:
z(s) = ( x - μ₀ ) / s/√n
z(s) = - 9 /4
z(s) = - 2,25
p-value for that z(s) p-value = 0,0122
Then for α = 0,05 p-value < 0,05
We are in the rejection region we need to reject H₀
