Answer:
51 dollars
Step-by-step explanation:
4 times 12.75 =51
Answer:
-20x³ + 0x² + 15x - 20
Step-by-step explanation:
I would have said it the other way.
"Multiply each term in the top row by -5."
4x³ + 0x - 3x + 4
<u>×(-5</u>) <u>×(-5</u>) <u>×(-5)</u> <u>×(-5)
</u>
-20x³ + 0x² + 15x -20
Option D, For a standard normal distribution, the expression that is always equal to 1 is P(z ≤ -a) + P(-a≤z≤a) + P(Z≥a).
<h3>
What is standard normal distribution?</h3>
A standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1.
For a standard normal distribution, the total area of a curve is always equal to 1.
total area = P(z≤-a)+P(-a≤z≤a)+P(Z≥a) = 1
Thus, for a standard normal distribution, the expression that is always equal to 1 is P(z ≤ -a) + P(-a≤z≤a) + P(Z≥a).
Learn more about standard normal distribution here: brainly.com/question/4079902
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Answer:
#15: 1/5 (x^2 - x - 3)^5
#18: 5 (3x^2 - 6x + 1)^5
Step-by-step explanation:
#15
(2x-1)(x^2-x+3)^4
Chain Rule!!!
g'(x)f'(g(x)) = d/dx(f(g(x)) = (f ⚬ g)'(x)
f'(x) = x^4
g(x) = x^2 - x - 3
g'(x) = 2x - 1
So we only have to integrate x^4 gives 1/5 x^5
f(x) = 1/5 x^5
f(g(x)) = (f ⚬ g)(x) = 1/5 (x^2 - x - 3)^5
#18
150(x-1)(3x^2-6x+1)^4
Chain rule again!! In disguise.
f'(x) = x^4
f(x) = 1/5 x^5
g(x) = 3x^2-6x+1
g'(x) = 6x - 6 = 6(x-1)
150(x-1) = 25 g'(x)
25 g'(x)f'(g(x)) = 25 (f ⚬ g)(x) = 5(3x^2-6x+1)^5
It would become a larger bar that is all I can do without the graph
