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3 years ago

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.

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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