A relationship is linear if it has a(n) (negative, positive, constant, or undefined) rate of change.

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

Daniel [21]

Answer:

getting the queen is smaller

5/8

Step-by-step explanation:

There are 4 queens in a 52 card deck

P(queen) = 4/52 = 1/13

There are 12 pairs socks, 3 of which are grey

P(grey socks) = 3/12 = 1/4

1/13 <1/4

So getting a queen is smaller

The possible outcomes

8 +0 9+0 10+0 11+0

8+1 9+1 10+1 11+1

8+2 9+2 10+2 11+2

8+3 9+3 10+3 11+3

There are 16 outcomes and 10 of them are after 11, (assuming we add the time to the bedtime)

P (bedtime later than 10) = 10/16 = 5/8

3 0

4 years ago

Find the series in A.P whose sum to n terms is n*(n+2)

Lemur [1.5K]

Answer:

3, 5, 7, 9, 11, .........

Step-by-step explanation:

Given

$S_{n}$ = n(n + 2) , then

S₁ = 1(1 + 2) = 1(3) = 3 ⇒ a₁ = 3

S₂ = 2(2 + 2) = 2(4) = 8

S₃ = 3(3 + 2) = 3(5) = 15

Thus

a₂ = S₂ - S₁ = 8 - 3 = 5

a₃ = S₃ - S₂ = 15 - 8 = 7

The first 3 terms are 3, 5, 7

This is an AP with common difference d = 2, then

a₄ = a₃ + 2 = 7 + 2 = 9

a₅ = a₄ + 2 = 9 + 2 = 11

and so on

3 0

3 years ago

Your friend's swimming pool is in the shape of a rectangular prism, with a length of 25 feet, a width of 8 feet, and a height of

RUDIKE [14]

Answer:

Part a) $V=1,000\ ft^{3}$

Part b) $h=5\ ft$

Part c) $=718\ gal$

Step-by-step explanation:

Part a) What is the volume of your friend's swimming pool?

we know that

The volume of a rectangular prism is equal to

$V=LWH$

substitute the values

$V=(25)(8)(5)=1,000\ ft^{3}$

Part b) Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool?

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$V=1,000\ ft^{3}$

$r=16/2=8\ ft$ ----> the radius is half the diameter

substitute and solve for h

$1,000=\pi (8)^{2} h$

$h=1,000/(64 \pi)$

$h=1,000/(64*3.14)=5\ ft$

Part c) While you were on vacation, 6 inches of water evaporated from your pool. About how many gallons of water evaporated from your pool?

remember that

$1\ ft=12\ in$

so

$6\ in=6/12=0.5\ ft$

Find the volume of water for $h=5-0.5=4.5\ ft$

$V=(3.14)(8)^{2}(4.5)=904.32\ ft^{3}$

so

the volume of water evaporated is equal to

$1,000\ ft^{3}-904.32\ ft^{3}=95.68\ ft^{3}$

convert to gallons

remember that

$1\ ft^{3}=7.5\ gal$

so

$95.68\ ft^{3}=95.68*7.5=718\ gal$

5 0

3 years ago

Which one doesn’t belong? Select a graph and give a reason why you selected the shape. Are there any other graphs that do not be

borishaifa [10]

Answer:

Graph 4

Step-by-step explanation:

Graph 4 does not belong. This is as a result of the fact that it Graph 4 has a negative slope(descends) while all other graphs have a positive slope(ascends).

Another way to view it is that the values in Graphs 1, 2 and 3 are directly related while the values in Graph 4 are inversely related.

3 0

4 years ago

The measure of the supplement angle is fourteen times greater than its supplement

disa [49]

Let's assume you have supplement angle
$x$
Now when you talk about multiplication you can simply say...
$14x = y$
And that will give you the answer.

6 0

3 years ago