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3241004551 [841]
3 years ago
12

What is the solution to the system of equations -8x + 4y = -2, 2y = 1​

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
5 0

Answer:

Hi! The correct answer is x=1/4+y/2!

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

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Evaluate 6n-2 for n=4.
kvasek [131]

Answer:

6n-2 = 22

Step-by-step explanation:

n = 4

6(4)-2

24-2

22

4 0
3 years ago
Mr. Brown chooses a fiction book at random from a list of books and then chooses a second fiction book from those remaining.
fgiga [73]
Independent would be when Mr. Brown chooses a fiction boom at random from a list of books.

Dependent would be when Mr.Brown then chooses a second fiction. book from those remaining.
5 0
3 years ago
Read 2 more answers
Rewa Delta Union Rugby CEO has become concerned about the slow pace of the rugby games played in the current union rugby, fearin
ozzi

Answer:

We conclude that the mean duration of 15-sided union rugby games has decreased after the meeting.

Step-by-step explanation:

We are given that Before the meeting, the mean duration of the 15-sided rugby game time was 3 hours, 5 minutes, that is, 185 minutes.

A random sample of 36 of the 15-sided rugby games after the meeting showed a mean of 179 minutes with a standard deviation of 12 minutes.

Let \mu = <em><u>mean duration of 15-sided union rugby games after the meeting.</u></em>

So, Null Hypothesis, H_0 : \mu \geq 185 minutes      {means that the mean duration of 15-sided union rugby games has increased or remained same after the meeting}

Alternate Hypothesis, H_A : \mu < 185 minutes     {means that the mean duration of 15-sided union rugby games has decreased after the meeting}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                            T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean duration of 15-sided union rugby games = 179 min

            s = sample standard deviation = 12 minutes

            n = sample of 15-sided rugby games = 36

So, <u><em>the test statistics</em></u>  =  \frac{179-185}{\frac{12}{\sqrt{36} } }  ~ t_3_5

                                       =  -3

The value of t test statistics is -3.

<u>Now, at 1% significance level the t table gives critical value of -2.437 at 35 degree of freedom for left-tailed test.</u>

Since our test statistic is less than the critical value of t as -3 < -2.437, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that the mean duration of 15-sided union rugby games has decreased after the meeting.

6 0
3 years ago
Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay. S=sandwiches
Mrac [35]

Answer:

8s + 12

s=12-8

s=4

or

8s +12

s=12+8

s=20

Step-by-step explanation:

im not sure kung minus o plus kasi kung kinus mababa lang binayad nya

4 0
2 years ago
Read 2 more answers
Which prime number do the prime factorization of 130 and 165 have in common?
Marizza181 [45]

Answer:

They both have the #5 and they both have 3 #'s that are prime?

Step-by-step explanation:

5 0
3 years ago
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