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3 years ago

What is 15 - (-15) need answer asap

Mathematics

1 answer:

Stels [109]3 years ago

4 0

Answer:

Step-by-step explanation:

(-) (-) = +

Therefore 15 - (-15) = 15 + 15 = 30

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A researcher is interested in the lengths of brook trout, which are known to be approximately Normally distributed with mean 80

aliya0001 [1]

Answer:

$P(X$

And we can find this probability with the normal standard distirbution or excel and we got:

$P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the lenghts of a population, and for this case we know the distribution for X is given by:

$X \sim N(80,5)$

Where $\mu=80$ and $\sigma=5$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability with the normal standard distirbution or excel and we got:

$P(z$

6 0

3 years ago

Which equation represents the line that passes through (-6, 7) and (-3, 6)

Tju [1.3M]

Plug the given x and y values (x, y) into the equations and solve
It look like the second equation is the answer.
$6 = - \frac{1}{3} ( - 3) + 5 \\ 6 = 1 + 5 \\ true$

4 0

3 years ago

Read 2 more answers

What is the SCALE FACTOR? What type of DILATION is occurring from the first triangle to the second triangle?

REY [17]

Answer:

Step-by-step explanation:

$\frac{1,5}{6} = 0,25 = \frac{25}{100} = 1:4$

7 0

3 years ago

A box is x to inches high,(2x+3)inches wide, and (2x+5) of inches long. In terms of x, what is the volume (v) of the box?

Advocard [28]

Answer:

The volume of the box is $V=(4x^3+16x^2+15x)\ in^3$

Step-by-step explanation:

we know that

The volume of the box is equal to

$V=LWH$

where

L is the length of the box in inches

W is the width of the box in inches

H is the height of the box in inches

we have

$L=(2x+5)\ in\\W=(2x+3)\ in\\H=x\ in$

substitute in the formula

$V=(2x+5)(2x+3)x$

$V=(4x^2+6x+10x+15)(x)$

$V=(4x^2+16x+15)(x)$

$V=(4x^3+16x^2+15x)\ in^3$

6 0

3 years ago

The equation 10x + 5y = 150

Verdich [7]

Answer:

x = 14.5 y = 1

Step-by-step explanation:

get the x alone by subtracting 5y from both sides

10x + 5y = 150

- 5y -5y

10x = -5y + 150

divide both sides by 10

10x = -5y + 150

10 10

x = -0.5y + 15

Now that we've solved for x, we can plug it into the original equation

10 (-0.5y + 15) + 5y = 150

now we solve for y the same way we did x

first distribute 10 into (-0.5y + 15)

-5 + 150 +5y = 150

now we get the y alone

-5 + 150 + 5y = 150

+5 -150 -150 +5

5y = 5

now divide by 5

5y = 5

5 5

y = 1

now that we have both x and y, we plug y into our solution for x

x = -0.5y + 15

x = -0.5(1) + 15

x= -0.5 + 15

x = 14.5

4 0

3 years ago