Answer:
18.84 in^2
Step-by-step explanation:
Area brother ate = 1/6 x area of pizza
a pizza is the shape of a circle. the area of a pizza is equal to the area of a circle
Area of a circle = πr²
r = 12/2 = 6
he diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x 6^2 = 113.04
1/6 x 113.04 = 18.84
Answer:
i think it is B
Step-by-step explanation:
Ashley is wrong. I have no clue what a placement chart is but I'll solve it anyway.
(5/10)x100 = (5x100)/10 = 500/10 = 50
Answer:
a) 0.216
b) 0.1587
c) 0.369
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 12.2 grams
Standard Deviation, σ = 2.8 grams
We are given that the distribution of weights of impurities per bag is a bell shaped distribution that is a normal distribution.
Formula:
a) P(contains less than 10 grams of impurities)
P(x < 10)
Calculation the value from standard normal z table, we have,

b) P(contains more than 15 grams of impurities)
P(x > 15)
Calculation the value from standard normal z table, we have,

c) P(contains between 12 and 15 grams of impurities)

d) The mean divide the data in exactly two parts. Since 15 is farther away from the mean as compared to 10, the probability obtained in part (b) is smaller as compared to probability obtained in part (a).
Factor by grouping.
0 = (x^3 +4x^2) +(9x +36) = x^2(x+4) +9(x+4) = (x^2+9)(x+4)
The first factor is the difference of squares (in complex numbers), so the form for factoring that can be used:
a^2 - b^2 = (a -b)(a +b)
Here, a=x, b=3i.
Then the factorization in complex numbers is
0 = (x -3i)(x +3i)(x +4)
Solutions are the values of x that make these factors be zero.
x = -4, -3i, 3i