PLEASEEEE HELPPPPP!!!!!!! plz don't answer if you don't know because this is a exam

If y varies directly as x and k = 8, find x when y = 8 1. 1 2. 8 3. 64

aksik [14]

y = kx so x = y/k

if y = 8 and k = 8 then

x = 8/8 = 1

answer

1. 1

8 0

3 years ago

Find the slope of (2,3) and (6,7)

Brut [27]

To find the slope, we must use the formula stated below.

Slope = Change in Y / Change in X = (Y1 - Y2) / (X1 - X2)

Since our coordinates are given as (X, Y), we must pick a coordinate to be #1, and the other coordinate will be #2.

I'll use the first coordinate as our #1.

(3 - 6) / (2 - 7) = (-3) / (-5) = 3/5 which is our answer

6 0

3 years ago

A slow pitch softball diamond is actually a square 60 ft on a side. how far is it from home to second base?

krek1111 [17]

For this case we have a square whose sides are known and equal to 60 ft.
We want to find the diagonal of the square.
For this, we use the Pythagorean theorem.
We have then:
$d^2 = 60^2 + 60^2

d = \sqrt{60^2 + 60^2}

 d = \sqrt{3600 + 3600}

d = \sqrt{2*3600}

d = 60\sqrt{2}
$
Answer:
from home to second base it is about:
$d = 60\sqrt{2} feet$

3 0

3 years ago

Vail Resorts pays part-time seasonal employees at ski resorts on an hourly basis. At a certain mountain, the hourly rates have a

notsponge [240]

Answer:

$z=0.842$

And if we solve for a we got

$\mu=13.16 +0.842*3=15.69$

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 hourly rates of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,3)$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>13.16)=0.20$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.80 of the area on the left and 0.20 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.20

If we use condition (b) from previous we have this:

$P(X$