The first thing you would do is simplify the inside of the parenthesis to 55/6 using PEMDAS. Next all you do is multiply that by 5 to get 275/6 or 45.833 (repeating) in decimal form.
Answer:
a) mean = 1.42 occupant/car
b) standard deviation = 0.89 occupants
c) median = 1 occupant
d) The proportion of cars had more than the mean number of occupants is 0.24
e) The proportion of cars with the number of occupants more than one
standard deviation greater than the mean is 0.11
f) The proportion of cars with the number of occupants within one standard
deviation of the mean is 0.89
Step-by-step explanation:
Attached work:
4 cups of sunflower seeds in a large batch
Explanation:
Small batch:
cups of raisins = 2
cups of peanuts = 2
cup of sunflower seeds = 1
cup of chocolate coated candies = 1
The ratio: 2:2:1:1
Large batch:
cups of peanuts = 8
cups of sunflower seeds are in a large batch = ?
From the small batch, we know for every 1 cup of sunflower seeds, we would have 2 cups of peanuts.
let the number of cup of sunflower seeds used in large batch = y
1 cup of sunflower seeds = 2 cups of peanuts
y = 8 cups of peanuts
cross multiply:
1(8) = 2(y)
8 = 2y
Divide both sides by 2:
8/2 = 2y/2
4 = y
Hence, the number of cups of sunflower seeds in a large batch is 4
Answer:
Test the two ratios/fractions to see whether they are equivalent by multiplying diagonally (cross multiply). 3 4 = 15 20 4 * 15 = 60 and 3 * 20 = 60.
<em><u>This is a proportion. If the two numbers that are diagonal result in the same answer when they are multiplied, you are working with a proportion.</u></em>
Step-by-step explanation:
<h2>#BEBRAINLY </h2>
To find y intercepts you have to solve for when x=0.
f(0)=2(0)^2-16
f(0)=0-16
f(0)= -16
y-intercept is (0,-16)
To find x intercepts you have to solve for when f(x)=0.
0=2x^2-16
16=2x^2
8=x^2
+or- 2sqrt(2)=x
X intercepts are (2sqrt(2),0) (-2sqrt(2),0)
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