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3 years ago

Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1

Mathematics

1 answer:

Digiron [165]3 years ago

8 0

Answer:

$P(z$

And the best option would be:

$0.8708$

Step-by-step explanation:

We assume that the distribution for the random variable is:

$X \sim N (\mu=0 , \sigma=1)$

For this case we want to calculate the following probability:

$P(z$

And we can use the normal standard distribution or excel and we got:

$P(z$

And the best option would be:

$0.8708$

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How do I use 290-3x=75 as a word problem?

Papessa [141]

Two hundred and ninety subtract three X equals 75

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3 years ago

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-4(2x-3)>-28 please i need this result

Len [333]

-4 (2x - 3) > -28

Divide by -4 on both sides. Since we're dividing by a negative, we need to switch the sign.

2x - 3 < 7

Add 3 to both sides

2x < 10

Divide by 2 on both sides

x < 5

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3 years ago

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

ExtremeBDS [4]

Answer:

$y\geq x-2$

$x+2y$

Step-by-step explanation:

step 1

Find the equation of the first inequality

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0+2}{2-0}$

$m=\frac{2}{2}$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

The inequality is

$y\geq x-2$

step 2

Find the equation of the second inequality

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-2}{4-0}$

$m=\frac{-2}{4}$

$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> the y-intercept is given

substitute

$y=-\frac{1}{2}x+2$

Remember that

Everything below and to the left of the line is shaded

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

5 0

3 years ago

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1 1 point Find the difference: 5.2 -0.12 = type your answer...

ira [324]

And the answer is......

5.08

6 0

3 years ago

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What is the area of this shape?

Juliette [100K]

The area is

9*9 +(81pi)/2=

81+40.5pi=

208.23450

3 0

2 years ago