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3 years ago

7

Given the function F(x), you can get a picture of the graph of its inverse F -1(x) by flipping the original graph of F(x) over t

he line _____.
A. y = -1
B. y = x
C. y = 1

2 answers:

Lana71 [14]3 years ago

8 0

C=1 because you are flipping it over the line so it cant be negative

lara31 [8.8K]3 years ago

8 0

Correct answer is not c=1, because when the graph is flipped that would point to y=x.

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Let X be a normal random variable with mean 3 and variance 4. (a) Find the probability P(2 < X < 6). (b) Find the value c

Vanyuwa [196]

Answer:

a) the probability of (2 < X < 6) is 0.6247

b) the value of c is 3.878

c) the value of E[ x² ] is 13

Step-by-step explanation:

Given that;

mean μ = 3

variance = 4

standard deviation s = √variance = √4 = 2

(a) Find the probability P(2 < X < 6)

P(2 < X < 6) = p( (x - μ / s ) < z < (x - μ / s ) )

= p( (2 - 3 / 2 ) < z < (6 - 3 / 2 ) )

= p( -0.5 < z < 1.5)

from z-score table, 1.5; z = 0.9332 and -0.5; z = 0.3085

so

P(2 < X < 6) = 0.9332 - 0.3085 = 0.6247

Therefore, the probability of (2 < X < 6) is 0.6247

b) Find the value c such that P(X > c) = 0.33

with p-value = 0.33, the corresponding z -score to the right is 0.439

we know that;

z = x - μ / s

we substitute

0.439 = x - 3 / 2

x - 3 = 2 × 0.439

x - 3 = 0.878

x = 0.878 + 3

x = 3.878

Therefore, the value of c is 3.878

c) Find E[ x² ].

Variance = E[ x² ] - [ mean ]²

E[ x² ] = Variance + [ mean ]²

we substitute

E[ x² ] = 4 + [ 3 ]²

E[ x² ] = 4 + 9

E[ x² ] = 13

Therefore, the value of E[ x² ] is 13

4 0

3 years ago

The length of a rectangle solid is 3.0 m the width is 0.6 meter, and the height is 0.4 meter. Find, to the nearest tenth, the nu

Ad libitum [116K]

Answer:

$0.72\,\,m^3$

Step-by-step explanation:

Given:

Length of a rectangle solid = 3 m

Width of a rectangle solid = 0.6 m

Height of a rectangle solid = 0.4 m

To find: Volume of the solid

Solution:

Volume of the solid = length × breadth × height

$=3\times 0.6\times 0.4=0.72\,\,m^3$

So, the number of cubic meters in the volume of the solid is $0.72\,\,m^3$

3 0

4 years ago

Marco mark changes $3.98 for a pound of lean ground beef.how much a customer pay for 2.6 pound of lean ground beef?

melamori03 [73]

Answer:

$10.348

Step-by-step explanation:

(3.98)(2.6)= 10.348

8 0

3 years ago

What value of x is in the solution set of 4x - 12 S 16 + 8x?

Jobisdone [24]

You gave little context, so here is a few solutions.

POSSIBLE #1:

assuming s is a variable

---> Simplify $12S$ × $16$ to $192S$

$4x-192S+8x$

---> Collect like terms.

$(4x+8x)-192S$

---> Simplify.

$12x-192S$

POSSIBLE #2: (assuming s is not relevant)

Simplifying

4x + -12 = 16 + 8x

Reorder the terms:

-12 + 4x = 16 + 8x

Solving

-12 + 4x = 16 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

-12 + 4x + -8x = 16 + 8x + -8x

Combine like terms: 4x + -8x = -4x

-12 + -4x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0

-12 + -4x = 16 + 0

-12 + -4x = 16

Add '12' to each side of the equation.

-12 + 12 + -4x = 16 + 12

Combine like terms: -12 + 12 = 0

0 + -4x = 16 + 12

-4x = 16 + 12

Combine like terms: 16 + 12 = 28

-4x = 28

Divide each side by '-4'.

x = -7

Simplifying

x = -7

If there are any other ways to solve this please add more context in the comments below this answer! Hope this was helpful! Have a marvelous day/night!

4 0

3 years ago

Tell whether the equation has the ordered pair as a solution y=6x; (-7,-42)

Ber [7]

Answer:

Yes

Step-by-step explanation:

Substituting in x = -7, we get y = 6(-7) = -42, which is the same as the y coordinate of the given point.

3 0

2 years ago