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Marat540 [252]
3 years ago
5

How many solutions does the equation −2y + 2y + 3 = 3 have? One Zero Infinitely many Three

Mathematics
2 answers:
AnnZ [28]3 years ago
3 0

Answer:

Infinitely many solutions.

Step-by-step explanation:

In the equation −2y + 2y + 3 = 3  we see only one variable, and that variable is of the first power.  Ordinarily, we'd say that this equation will have 1 solution.  However, if we combine like terms, we get 0 + 3 = 3, or 0 = 0, which is true for any and all y values.  Infinitely many solutions.

Vitek1552 [10]3 years ago
3 0

Answer:

Infinitely

Step-by-step explanation:

we have

-2y+2y+3=3

Group terms that contain the same variable

-2y+2y=3-3

Combine like terms

0=0 ----> the equation is true for any value of y

therefore

The equation has infinite solutions

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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
Which set is closed under the operation multiplication?
oee [108]
I have another set of choices here:

A. {0.5, 1, 2} 


B. {1, 2, 4} 


C. {1, 2, 3, 4, 5} 


<span>D. {0} 
</span>
If you multiply two numbers from a closed set the answer is in the set. 
<span>So A is not closed because 2 x 2 = 4 which isn't in the set. Only 0.5, 1, and 2 are in set A. </span>

<span>Try multiplying the largest numbers in sets B, C, and D by themselves. You will soon discover the closed set.</span>
3 0
3 years ago
Carol wants to make a quilt using a scale of 1.5 inches=2 feet. Her scale drawing is 7.5 inches by 10.5 inches. What is the area
cestrela7 [59]

Answer:

140 ft

Step-by-step explanation:

7 0
3 years ago
What is the result when the number 86 is decreased by 9%?
Vikki [24]
78.26

Hope this helps!!!
6 0
3 years ago
If there are 40 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
galina1969 [7]

40+60=100. So one person equals 1%, meaning 40% are boys and 60% are girls. By simplifying, we will find that possible ratios below the value of 100 are 40:60, 4:6, 2:3, and 20:30.

8 0
2 years ago
Read 2 more answers
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