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3 years ago

Which ordered pair has a solution to the system of inequalities. y>2x and y>3

Mathematics

1 answer:

Makovka662 [10]3 years ago

4 0

Answer:

We have the system:

y > 2*x

y > 3

Now, let's find the limits:

taking y > 3, we can see the limit y = 3.

Now we replace it in the first inequality:

3 > 2*x

3/2 > x.

Then we have that:

y > 3

x < 3/2

Those two inequalities define our system.

So any ordered pair where x is smaller than 3/2 and y is larger than 3, is a solution.

or example:

(1, 3.5) is a solution.

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A basket of fruit contains four oranges five apples and six bananas. If you choose a piece of fruit at random from the basket, w

Leni [432]

Answer:

6/15

Theres 6 bananas & 15 fruits total

8 0

3 years ago

A garden is 4 yards 24 inches wide and 4 yards long. Write the ratio of the width to the length as a fraction in simplistic form

Lana71 [14]

Answer:

7/6

Step-by-step explanation:

The width to length ratio is ...

... width / length = (4 2/3 yards)/(4 yards) = (14/3)/4 = 14/12

... width/length = 7/6

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3 years ago

A United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year. A FLOC (Farm

disa [49]

Answer:

We conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

Step-by-step explanation:

We are given that a United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year.

A FLOC evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000.

Let $\mu$ = true mean family income for Mexican migrants.

So, Null Hypothesis, $H_0$ : $\mu$ = $27,000 {means that the mean family income for Mexican migrants to the United States is $27,000 per year}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ $27,000 {means that the mean family income for Mexican migrants to the United States is different from $27,000 per year}

The test statistics that would be used here One-sample t test statistics 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 family income = $30,000

s = sample standard deviation = $10,000

n = sample of Mexican family = 25

So, the test statistics = $\frac{30,000-27,000}{\frac{10,000}{\sqrt{25} } }$ ~ $t_2_4$

= 1.50

The value of t test statistics is 1.50.

Since, in the question we are not given the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical values of -2.064 and 2.064 at 24 degree of freedom for two-tailed test.

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

4 0

3 years ago

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artcher [175]

Answer:

y= 1500x = 29690

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Step-by-step explanation:

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3 years ago

Sam have worked these hours during the week: 4.5, 8.75, 9.5, 10, and 4.25 hours. How many hours did Sam work?

ziro4ka [17]

Answer:

37 hours

Step-by-step explanation:

4.5 + 8.75 + 9.5 + 10 + 4.25 = 37 hours

3 0

3 years ago

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