Answer:
Step-by-step explanation:
center (-2,-1), Diameter 4
You are trying to solve the length of the house. Let x equal the length of the house. The length of the house is 2 1/2, or 2.5 times its width. The width of the house is 30 feet.
Your equation should look like this:
x = 30(2.5)
Mutiply 30 ft. times 2.5 to get 750 ft.
x = 750 ft.
Don't forget to use your unit of measurement in the answer! You are working in feet.
Answer:
k = - 3
Step-by-step explanation:
Given that x = 3 is a solution then it satisfies the equation, that is
2(3)² - 5(3) + k = 0
2(9) - 15 + k = 0
18 - 15 + k = 0
3 + k = 0 ( subtract 3 from both sides )
k = - 3
Answer:
The right answer is:
"The one-day SAT prep class produces statistically significant improvements in SAT writing performance."
Step-by-step explanation:
The P-value gives us the probability of getting the sample results, given that the null hypopthesis is true. That is why, it the P-value is small enough (smaller than the level of significance) is an indicator that the null hypothesis may not be true.
In this case, the P-value (0.028) is smaller than the level of significance (0.05), so the null hypothesis is rejected and we can conclude that there is significant difference for the studentes that take the SAT prep-class.
The population only include the students that take teh SAT prep-class, so it is not useful to compare to the performance of students that didn't take the class.
The right answer is:
"The one-day SAT prep class produces statistically significant improvements in SAT writing performance."
Answer: 50yd
Step-by-step explanation:
We know that the area of any rectangle is length times width. The perimeter is the sum of twice the length and twice the width.
Let width = x
Let length = 4x
Area = 100m2
Next, we can write an equation using these variables and formula for area.
4x2 = 100
x2 = 25
x = -5 and x = 5
Since the dimensions cannot be negative, we accept the positive value:
x = 5
Next, we can substitute this value of x into the variables.
width = 5 m
length = 20 m
Finally, we can find the perimeter by plugging in these dimensions into the perimeter formula,
Perimeter = 2(5 m) + 2(20 m)
= 10 m + 40 m
= 50 m
