All categories

3 years ago

What is the solution to the system of equations represented by the two equations?

1 answer:

4 0

To solve a system of equations, you must first set the equations to equal "y" (which has already been done in this problem), and then set them to equal each other. This can be done because both of your equations equal"y", so they both equal each other.
-2x + 7 = 1/3x
7 = 1/3x + 2x
2 1/3x = 7
x = ~3
The answer is a long decimal with the first four places 0, so I rounded...
Hope that helps:)

You might be interested in

Convert 14.25% to a ratio

Varvara68 [4.7K]

1425/100=(57•25)/(4•25)
=57/4
=14 1/4

7 0

3 years ago

Three over four times one over five

kobusy [5.1K]

Answer:

(3/4)*(1/5) is equal to 0.15

6 0

3 years ago

Read 2 more answers

How do you multiple 783 by 42 in area model

BigorU [14]

Answer: this depends are you finding it for a shape or in general if it is in general you simply multiply and get 32,886

Step-by-step explanation:

5 0

3 years ago

What is the exact decimal equivalent of 7/12

dexar [7]

Well if you divide 7 divided by 12 you get 0.583 which you can round however you wish but I am not sure if that’s what you mean

5 0

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