Answer:
The triangle is not acute because 2² + 4² < 5².
Step-by-step explanation:
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
Answer:
-10
Step-by-step explanation:
= -X - XY
= -2 - 2×4
= -2 - 8
= -10
therefore, -X - XY = -10
Answer:
y=1/2x+5
Step-by-step explanation:
y=mx+b
m is slope so the slope is 1/2.
