The length of GQ is 2 1/3 (two and one-third) where x equals -2/3 (negative two-thirds).
Answer:
The solution to the inequality is:
The number line solution graph is also attached below.
Step-by-step explanation:
Given the inequality
Add 8 to both sides
Divide both sides by 2
Add 3 to both sides
Thus, the solution to the inequality is:
The number line solution graph is also attached below.
So lets write this equation out. Let x be that number we are trying to find.
So five-sevenths is a fraction that is written like this
5/7
when you see the word "of" that means multiplication
so we can write the full equation.
(5/7)x = -35
now we can solve
Multiply both sides by 7
5x = -245
now divide by 5
and we get
x = -49
Answer:
750
Step-by-step explanation:
62.5% choose chocolate
1200 x 62.5% of is 750
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
