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nikklg [1K]
3 years ago
7

Suppose y varies directly with x and y=12 when x=-3 what is the value of y when x=6?

Mathematics
1 answer:
coldgirl [10]3 years ago
7 0

Answer:

A. -24

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a directly or proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem we have

For x=-3, y=12

Find the value of the constant of proportionality k

k=\frac{y}{x}

substitute the given values

k=\frac{12}{-3}=-4

so

The linear equation is equal to

y=-4x

what is the value of y when x=6?

substitute the value of x in the linear equation and solve for y

y=-4(6)=-24

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Flight 202's arrival time is normally distributed with a mean arrival time of 6:30 p.m. and a standard deviation of 15 minutes.
natta225 [31]

Answer:

The probability is 0.0015

Step-by-step explanation:

We know that the mean \mu is:

\mu=6:30\ p.m

The standard deviation \sigma is:

\sigma=0:15\ minutes

The Z-score is:

Z=\frac{x-\mu}{\sigma}

We seek to find

P(x>7:15\ p.m.)

The Z-score is:

Z=\frac{x-\mu}{\sigma}

Z=\frac{7:15-6:30}{0:15}

Z=\frac{0:45}{0:15}

Z=3

The score of Z = 3 means that 7:15 p.m. is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

So

P(x>7:15\ p.m.)=P(Z>3)=0.0015

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3 years ago
chris wants to put up a fence around his sqaure garden the garden measures 3 feet on each side .how much fencing matirial does h
RoseWind [281]

3 x 4 = 12 feet of fencing

6 0
3 years ago
There are a total of 15 bicycles and tricycles.There are 37 wheels all together if we count them up. How many tricycles and how
m_a_m_a [10]

Answer: there are eight bicycles and 7 tricycles.

Step-by-step explanation:

Let x represent the number of bicycles that are there.

Let y represent the number of tricycles that are there.

There are a total of 15 bicycles and tricycles. This means that

x + y = 15

A bicycle has 2 wheels and a tricycle has 3 wheels. There are 37 wheels all together if we count them up. This means that

2x + 3y = 37- - - - - - - - - - - - - 1

Substituting x = 15 - y into equation 1, it becomes

2(15 - y) + 3y = 37

30 - 2y + 3y = 37

- 2y + 3y = 37 - 30

y = 7

x = 15 - y = 15 - 7

x = 8

7 0
3 years ago
The point P(8, 6) is on the terminal side of θ. Evaluate sin θ.
vladimir2022 [97]
Ok so let me help you with this. Here is the procedure:
 <span>r² = x² + y² = 8² + 6² = 100 
r = 10 
x = r cosθ 
y = r sinθ 
sinθ = y/r = 6/10 = 3/5
</span>Hope this is what you are looking for
3 0
3 years ago
Read 2 more answers
Please help me with this translating trigonometry graphs question. Brainliest and Points Available.
andreev551 [17]

According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.

<h3>How to apply translations on a given function</h3>

<em>Rigid</em> transformations are transformation such that the <em>Euclidean</em> distance of every point of a function is conserved. Translations are a kind of <em>rigid</em> transformations and there are two basic forms of translations:

Horizontal translation

g(x) = f(x - k), k ∈ \mathbb {R}     (1)

Where the translation goes <em>rightwards</em> for k > 0.

Vertical translation

g(x) = f(x) + k, k ∈ \mathbb {R}     (2)

Where the translation goes <em>upwards</em> for k > 0.

According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.

To learn more on translations: brainly.com/question/17485121

#SPJ1

3 0
2 years ago
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