You have to use PEMDAS:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
First, do parentheses.
32 - 42 = -10
22 + -10 = 12
Answer = 12
Hope this helped
Have a great day :)
Answer:
s + 16 ≤ −80
Step-by-step explanation:
Analyze each part in the word equation:
"16 more than s" s increased by 16; s + 16
"is at most" is equal to or less than; ≤
"−80" -80
Put the equation back together:
s + 16 ≤ −80
Answer:
$16,028.85
Working out:
(On calculator) 42,500 x 0.85^6
Answer:
The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
Sample of 421 new car buyers, 75 preferred foreign cars. So 
85% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).
Answer:
Step-by-step explanation:
LA, Laterial Surface Area, is the lateral surface area of a pyramid. In this case, it is the sum of five triangles with base of 12cm and height that can be calculated as follow:
height^2 = 8.26^2 + 20^2 = 468.23
height = 21.64cm
LA = 5*1/2*12*21.64
= 649.2cm^2
SA, Surface Area, is the sum of LA and base area.
Base area = 5*1/2*12*8.26 = 247.8cm^2
SA = 649.2 + 247.8 =897cm^2
Volume, V = 1/3 * base area * height
= 1/3 * 247.8 * 20
= 1652cm^3
