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2 years ago

Y and x have a proportional relationship, and y = 12 when x = 5. What is the value of y when x = 8?

1 answer:

8 0

When x = 8 y = 15

The way to figure this out is to subtract 12 by 5. That’s 7 so there’s a difference of 7 between both of the numbers.

Hope this helped!

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You hit a tennis ball with an initial vertical velocity of 25 m/s. The ball leaves the tennis racket 2 meters above the ground,

tia_tia [17]

Answer:

here

Step-by-step explanation:

7 0

3 years ago

In the figure, m and n are rays.

Fiesta28 [93]

I think it's a b not sure about the rest though

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2 years ago

In a certain community, 30% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known t

Nesterboy [21]

Answer:

a) 0.06

b) 0.778

Step-by-step explanation:

Let's suppose a community of 100 families just to facilitate the calculation.

30% of the families own a dog

Dog = 30% of 100 = 30

20% of the families that own a dog also own a cat = 20% of 30 = 6

27% of all the families own a cat = 27% of 100 = 27

So, 6 families own a dog and a cat.

As 30 families own a dog, [30 - 6 =] 24 families own only dogs

As 27 families own a cat, [27 - 6 = ] 21 families own only cats

See picture attached.

a) What is the probability that a randomly selected family owns both a dog and a cat?

P(dog and cat) = dog ∩ cat/total = 6/100 = 0.06

b) What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?

So, only cat/total cat

P (not dog|cat) = 21/27 = 0.778

3 0

3 years ago

Sketch the region R defined by 1≤ x≤ 2 and 0≤ y≤ 1/x^3

steposvetlana [31]

On the attachment, there is the graph for the region "R" and the calculations for the value a and b.

the theory is that you have to choose a value that is between the range and assume that this value will divide the area into two equal parts. This is done for x = a

For
"y" you have to change the integral from dx to dy and you have to divide the region into 2 parts, given that the area cannot be calculated by 1 integral equation, so you proceed to calculate the rectangular area and take this area into consideration, for the same procedure as before.

Then you calculate again the value y = b and that's it.

5 0

2 years ago

What is the equation of the midline for the function f(x) ?<br><br> f(x)=(1/2)sin(x)+3

Art [367]

The midline of the sine function is 0. The +3 added to the sine function moves the midline of f(x) to f(x) = 3.

_____

You may be expected to write the equation as y = 3.

4 0

2 years ago