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3 years ago

If y varies directly as x and y=12 when x=c what is y in terms of c when x=8

Mathematics

1 answer:

tatiyna3 years ago

8 0

"y varies directly as x" means y = kx

you do not know what k is yet, other than that it is some constant number.

Now plug in the given values, y=12 when x=4, in the equation

12 = 4k

=> k = 3

Now rewrite the equation with the k value you just found

y = 3k

Substitute 18 in place of x

y = 3(18)

y = 54

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What is another way to name Plane P?

nydimaria [60]

You can name Plane P, many different ways,
Assuming you are asking this out of a textbook staring at a figure of a Parallelogram, their are probably points inside that shape and the way you would name it would be naming using any three points in the plane that are NOT on the same line in any order. <span />

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3 years ago

Consider a left-tailed test, where the p-value is found to be 0.10. If the sample size n for this test is 49, then the t statist

tigry1 [53]

Answer:

$df=n-1=49-1=48$

We know that the p value is 0.1, and since is a left tailed test would be given by:

$p_v = P(t_{48} < t_{calculated})=0.1$

And we can find the calculated value using excel or the t table.

If we use the following excel code we got: "=T.INV(0.1,48)"

And the calculated value is $t_{calculated}=-1.29944$

Step-by-step explanation:

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the true mean is lower than specified valu $\mu_o$ , the system of hypothesis would be:

Null hypothesis: $\mu \geq \mu_o$

Alternative hypothesis: $\mu < \mu_o$

Compute the test statistic

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can find the degrees of freedom for this test given by:

$df=n-1=49-1=48$

We know that the p value is 0.1, and since is a left tailed test would be given by:

$p_v = P(t_{48} < t_{calculated})=0.1$

And we can find the calculated value using excel or the t table.

If we use the following excel code we got: "=T.INV(0.1,48)"

And the calculated value is $t_{calculated}=-1.29944$

3 0

3 years ago

The slope of the line is m=3/4. One point is (x, 2) and (3,-4)<br> Find X

Viktor [21]

Answer:

x is 11

Step-by-step explanation:

We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)

Substitute the numbers into the equation

y--4=3/4(x-3)

simplify

y+4=3/4(x-3)

do the distributive property

y+4=3/4x-9/4

subtract 4 from both sides

y=3/4x-25/4

this is the equation of the line.

Since it says that (x,2) is a point in the equation, we can substitute it into the equation

2=3/4x-25/4

add 25/4 to both sides

33/4=3/4x

multiply by 4/3

11=x

we can double check by plugging (11,2) into the equation of the line.

2=3/4(11)-25/4

2=33/4-25/4

2=2

it works! :)

Hope this helps!

7 0

3 years ago

What is 7 times 0.10 show your work

Vika [28.1K]

Answer:

0.7

Step-by-step explanation:

7 x 0.10

=> 7 x 0.1

=> 7 x 1/10

=> 7/10

=> 0.7

7 0

3 years ago

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Drupady [299]

The correct answer would be, 300,060,520

4 0

3 years ago

Read 2 more answers