You are right about the domain.
Answer:
m<S = 45°
Step-by-step explanation:
The sum of the measures of the angles of a triangle equals 180 deg.
m<R + m<S + m<T = 180
3x + 2x + 3x = 180
8x = 180
x = 22.5
m<S = 2x = 2(22.5) = 45
Answer:
560000
Step-by-step explanation:
As the profit is 3000 on car wash
And there is 5 percent interest
As the 5ser of 3000 is 559995
So the 4 years add to 559995
Equals 560000
<em><u>HOPE</u></em><em><u> </u></em><em><u>THIS</u></em><em><u> </u></em><em><u>HELPED</u></em>
<em><u>YOUR</u></em><em><u> </u></em><em><u>WELCOME</u></em>
<em><u>LOVE</u></em><em><u> </u></em><em><u>KITTY</u></em><em><u> </u></em>
<em><u>CAT</u></em>
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