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3 years ago

PLEASE HELP ASAPSolve. y > 2x + 2y ≤ -3/2 x - 5

1 answer:

7 0

$2x + 2 < - \frac{3}{2} x - 5 \\ 2x + \frac{3}{2} x < - 5 - 2 \\ 3.5x < - 7 \\ x< - 2$
$x < - 2 \\ x < \frac{y - 2}{2}$
$-2 = \frac{y - 2}{2} \\ y=-2$

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Questions 2-7 will all be in regards to this data set:Observation X Y1 20 302 23 353 28 404 26 385 24 376 32 457 35 508 24 349 3

Tomtit [17]

Answer:

r =0.4437

Step-by-step explanation:

We have the follwoing dataset:

X: 20,23,53,4,24,32,35,24,31,23

Y: 30,35,40,38,37,45,50,34,42,32

n=10

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=10 $\sum x = 269, \sum y = 383, \sum xy = 10609, \sum x^2 =8645, \sum y^2 =15007$

Th excel figure attached shows the calculations for each sum.

$r=\frac{10(10609)-(269)(383)}{\sqrt{[10(8645) -(269)^2][10(15007) -(383)^2]}}=0.4437$

So then the correlation coefficient would be r =0.4437

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4 years ago

Find the height of the pyramid round answer to the nearest meter

Fantom [35]

What are the other measurements?

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3 years ago

Which number line shows the solutions to<br> 1/2x – 2 > 0?

Anna007 [38]

Answer:

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Step-by-step explanation:

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3 years ago

A young boy has 40 total pets. He has two different types of pets. He has cats and penguins. The total number of the heads of hi

Nina [5.8K]

Answer:

He has 30 penguins and 10 cats.

Step-by-step explanation:

Let's define the variables:

C = number of cats.

P = number of penguins.

We know that he has a total of 40 pets, then:

C + P = 40

We also know that the total heads (40 heads, each animal has one) plus the number of wings (P*2, each penguin has 2) is equal to the number of feet of his pets (4*C + 2*P, because each cat has 4 paws, and each penguin has 2)

Then we have the equation:

40 + 2*P = 4*C + 2*P

Notice that in the second equation we have the term 2*P in both sides of the equation, then we can just subtract 2*P in both sides to get:

(40 + 2*P) - 2*P = 4*C + 2*P - 2*P

40 = 4*C

Now with this, we can find the value of C.

40/4 = C = 10

Then he has 10 cats.

Now we can replace this in the equation:

P + C = 40

to find the value of P

P + 10 = 40

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3 years ago

Y varies directly with X if y equals 39 when x equals 3 What is the value of y when x equals 2

igomit [66]

Answer:

y = 26 when x = 2

Step-by-step explanation:

Y varies directly with X

y= kx

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k = 13

y = 13x

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4 years ago