Answer:
Attached: The red graph is a graph of g(x) = -2x + 2
The blue grap is the graph of g'(x) = -x/2 + 1
Step-by-step explanation:
To find the inverse of g(x) = -2x + 2
First replace g(x) with y;
y = -2x + 2
Then take y to the right and x to the left;
x = -2y + 2
Solving for y gives;
2y = -x + 2
y = -x/2 + 1
Replacing y now with g'(x) gives;
g'(x) = -x/2 + 1
The graphs of g(x) = -2x + 2 and its inverse are attached.
Answer:
a) Binomial.
b) n=20, p=0.01, k≥2
The probability hat a package sold will be refunded is P=0.0169.
Step-by-step explanation:
a) We know that
- the defective probability is constant and independent.
- the sample size is bigger than one subject.
The most appropiate distribution to represent this random variable is the binomial.
b) The parameters are:
- Sample size (amount of clips in the package): n=20
- Probability of defective clips: p=0.01.
- number of defective clips that trigger the money-back guarantee: k≥2
The probability of the package being refunded can be calculated as:
Answer: A. 13ft
Explanation:
a^2 + b^2 = c^2
a = 5, b = 12
5^2 = 25, 12^2 = 144
25 + 144 = 169
Square root of 169 = 13
Answer:
6283 in³
Step-by-step explanation:
The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.
Since the cardboard box is in the shape of a cube, its volume V = L³
So, L = ∛V
Since V = 12000 in³,
L = ∛(12000 in³)
L= 22.89 in
So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2
So, V = 4π(L/2)³/3
= 4πL³/8 × 3
= πL³/2 × 3
= πL³/6
= πV/6
= π12000/6
= 2000π
= 6283.19 in³
≅ 6283.2 in³
= 6283 in³ to the nearest whole cubic inch
Answer:
$200,000
Step-by-step explanation:
Down payment = $24,000
Given that $24,000 is 12% of the price.
12% = $24000
1% = 24000 ÷ 12 = $2000
Price of the house
= 2000 x 100%
= $200,000