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Dmitriy789 [7]
2 years ago
8

If x is a positive integer, give possible values of x for inequality 5 > 2x – 3

Mathematics
1 answer:
Molodets [167]2 years ago
3 0

9514 1404 393

Answer:

  {1, 2, 3}

Step-by-step explanation:

Here's the solution to the inequality:

  5 > 2x -3

  8 > 2x . . . . . add 3

  4 > x . . . . . . divide by 2

Positive integers less than 4 are ...

  {1, 2, 3} . . . possible values of x

You might be interested in
Abby has a jewelry business. She uses small square boxes to ship her homemade rings to stores to sell. The ring box measures 12
aleksandr82 [10.1K]

Answer:

Volume of Shipping box= lenghth × breadth × height

Volume of ring box= side × side × side

Step-by-step explanation:

Volume of ring box = 12×12×12

=1728 units

Volume of shipping box= 1012×8×3

=24288 units

number of ring boxes in shipping box= 24288/1728

= 14.

Hope am correct

Thanks

3 0
3 years ago
Which of the following is true?
EleoNora [17]
The options can be rewrited as follow:
A. 5<4
B. 5<5
C. 5<4
D. 4<-5

∴ Answer is none of the above.

Unless perhaps you have written down the question incorrectly.
8 0
3 years ago
Lauren in making 15 liters of mimosas for a brunch banquet. Orange juice costs her $1.50 per liter and champagne costs her $12 p
PSYCHO15rus [73]

Answer:

  • 10 liters of orange juice
  • 5 liters of champagne

Step-by-step explanation:

Let c represent the number of liters of champagne Lauren uses. Then (15-c) will be the number of liters of orange juice. The total cost of the mix will be ...

  12c +1.50(15-c) = 5.00(15)

  10.5c = 52.50 . . . . . subtract 22.50, simplify

  52.50/10.5 = c = 5 . . . . divide by the coefficient of c

Then the amount of orange juice is ...

  15 -c = 15 -5 = 10 . . . . liters

Lauren should use 5 liters of champagne and 10 liters of orange juice.

4 0
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 = <em><u>true mean family income for Mexican migrants.</u></em>

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 <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 family income = $30,000

            s = sample standard deviation = $10,000

            n = sample of Mexican family = 25

So, <u><em>the test statistics</em></u>  =  \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%. <u>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.</u>

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 <u>we fail to reject our null hypothesis</u>.

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
Latitude and longitude describe locations on the Earth with respect to the equator and prime meridian. The table shows the
Contact [7]

Answer:

Step-by-step explanation:

Given that latitude and longitude describe locations on the Earth with respect to the equator and prime meridian.

Latitude High Temp

("N)  

 

12 53

 

16 41

 

30 67

 

36 63

 

32 70

 

11 58

 

10 61

 

33 67

 

30 72

 

 

Slope 0.732

Int -21.56266667

Regression line is y = 0.732x-21.563 where x represents the latitude and y high temperature

Since slope = 0.732, we get temp increases by 0.8 degree for 1 degree increasenorth in latitude

Hence option c is right

7 0
3 years ago
Read 2 more answers
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