Answer:
Step-by-step explanation:
β ∈ { 0° , 18° , 180° , 198° }
Answer:
2.80
Step-by-step explanation:
The discount is the regular price times the discount
discount = 19 *15%
discount = 2.85
The new price is the regular price minus the discount
new price = 19-2.85
=16.15
Now she has to pay the sales tax
tax = new price * tax rate
tax= 16.15 * 6.5%
= 16.15 *.065
=1.05
We add the tax to the new price to get the final price
final price = new price+tax
= 16.15 +1.05
=17.20
She pays with a 20 dollar bill
Change = payment - final price
=20.00 - 17.20
= 2.80
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
Total surface area = 2 * circular base + circumference * height
= 2 * pi*(4)^2 + 8pi * 12
= 32pi + 96pi
= 128pi answer
Answer:
Answer in explanation
Step-by-step explanation:
Here, we want to write a word problem that could be solved using the expression above.
An example is below;
How many 2 1/2 kg bag of cement can be found in a total of 3/4 kg bag of cement?
