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GREYUIT [131]
3 years ago
10

For the standard normal probability distribution, the area to the left of the mean is

Mathematics
1 answer:
Alborosie3 years ago
6 0
Any normal distribution is symmetric about its mean, so

\mathbb P(X

where \mu is the mean for the distribution.
You might be interested in
Please help!!!<br> picture below
iVinArrow [24]

Answer:

4^3x=4^(4x+4)

Step-by-step explanation:

You can eliminate the first 2 options since those don’t make sense already, and the last option changed 64 to 2^6 which is correct, but when they changed the other side. They should have multiplied 8 to both x and 1 which would have made the whole term 2^(8x+8) and not 2^(8x+1). Left with the third option, 4 to the power of 3 is 64 so the left side makes sense, 4^3x=64^x, on the right side, 4^4 equals 256, so the whole exponent should multiply by 4 so from 256^(x+1) you get 4^4(x+1) giving 4^(4x+4) making the third choice the right answer.

6 0
2 years ago
What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)
Naddik [55]
ANSWER

The turning point is

(1,-3).


EXPLANATION


The function given to us is

f(x) = (x - 1) ^{3}  - 3

At turning point,
f  '(x) = 0

So we need to differentiate the given function and equate it to zero.



We using the chain rule of differentiation, we obtain,
f '(x) =3 (x - 1) ^{2}

We equate this to zero to obtain,




3 (x - 1) ^{2}   = 0



We divide through by 3.


(x - 1) ^{2}   = 0

We solve for x to get,

x - 1 = 0


x = 1


We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.





f(1) = (1- 1) ^{3}  - 3




f(1) = 0 - 3


f(1) = - 3

Therefore the turning point is


(1,-3)

C is the correct answer.
6 0
3 years ago
Read 2 more answers
Checking my work. which one?
Genrish500 [490]

Answer:

Dividing exponents you subtract.

3^8/3^5 = 3^3

3^3

Multiplying exponents when an exponent is raised to another.

(3^3)^3 = <u>3^9</u>

<h2>Final Answer is 3^{9}</h2><h2 />

Apparently this makes no sense according to comments, if you want a more indepth look into exponents search "The properties of exponents".

6 0
2 years ago
Read 2 more answers
Find the 19th term of the arithmetic sequence whose common difference is =d5 and whose first term is =a12.
emmasim [6.3K]
An=a1+d(n-1)
a1=first term
d=common difference
n=which term

common difference is 5 first term is 2
an=5+2(n-1)
19th term is n=19
a19=5+2(19-1)
a19=5+2(18)
a19=5+36
a19=41

19th term is 41
4 0
3 years ago
Sally identified the terms of the expression 9a + 4b - 18 as 9, 4, and 18. Explain her error.
nordsb [41]

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable (a letter), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

So the terms are 9a, 4b, and 18.

hope it helps!

3 0
3 years ago
Read 2 more answers
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