what is a solution to the inequality y>3x-9

Answer:

The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).

Step-by-step explanation:

Average change in the sample:

[tex]M_{s} = \frac{15+20+18}{3} = 17.67[/tex]

Standard deviation of the sample:

[tex]s = \sqrt{\frac{(15-17.67)^2+(20-17.67)^2+(18-17.67)^2}{2}} = 2.52[/tex]

We have the standard deviation for the sample, so the t distribution is used.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 3 - 1 = 2

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 2 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 2.92

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.92\frac{2.52}{\sqrt{3}} = 4.25[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 17.67 - 4.25 = 13.42

The upper end of the interval is the sample mean added to M. So it is 17.67 + 4.25 = 21.92

The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).

Answer:

22/55 and 20/55

Step-by-step explanation:

multiply 2 and 5 by 11 to get 22/55, and multiply 4 and 11 by 5 to get 20/55

Answer:

Triangle A and B

Step-by-step explanation:

The lengths from triangle A is being doubled to make the lengths of triangle B. They also have the same angles.

Answer:

b. 44°

Step-by-step explanation:

Reference angle = x

Hypotenuse = 21

Adjacent = 15

Apply trigonometric function CAH:

[tex] Cos(x) = \frac{Adj}{Hyp} [/tex]

[tex] Cos(x) = \frac{15}{21} [/tex]

[tex] x = cos^{-1}(\frac{15}{21}) [/tex]

x = 44.4153086° ≈ 44° (nearest degree)

Answer:

I don't know if your ask which nomial it is but its a trinomial if that's what your asking

Answer:

13x - 4

Step-by-step explanation:

Hi,

5(3x -1)

-1/2(4x - 2)

To add...

5(3x - 1) + -1/2(4x - 2)

15x - 5 - 2x + 1

13x - 4

That's your answer :)

I hope this helps!

Answer:

9490.

Step-by-step explanation:

First you take 5.1% of 10,000 which is 510 and then you do 10,000-510= 9490.

Hope this helps!

Answer:

647.668 cm³

Step-by-step explanation:

12.5 kg = 12500 g

12500 g/19.3 g/cm³ = 647.668 cm³

Answer:

The object falls 384 feet in 4 seconds.

Step-by-step explanation:

This question can be solved by proportions, as the measures are directly proportional, using a rule of three.

An object falls 288 feet in 3 seconds. Find the distance the object falls in 4 seconds.

288 feet - 3 seconds

x feet - 4 seconds

Applying cross multiplication

[tex]3x = 288*4[/tex]

[tex]x = \frac{288*4}{3}[/tex]

[tex]x = 384[/tex]

The object falls 384 feet in 4 seconds.

Try this option:

1. to calculate the difference of the final sequence:

the difference between two terms of the sequence A is 4 (7-3=11-7=...=4) and the difference between two terms of the sequence B is 7 (9-2=16-9=...-7). It means, in the final sequence the difference should be 7*4=28;

2. to calculate the first term of the final sequence:

A={3;7;11;15;19;23;27;31;...;407} and B{2;9;16;23;30;...;709}. It means, the first term of the final sequence is 23.

3. to calculate the last term of the final sequence:

if 407<709, it means the last term is less than 407, then it is possible to make up the equation 23+28*n<407, where 23 - the 1st term of the final sequence, 28 - the difference of the final sequence, (n+1) - number of the last term of the final sequence and n∈Z.

n<(407-23)/28; n<13.71. If n∈Z, then n=13.

So, the last term of the final sequence is 23+28*13=387.

4. if the first term is 23, the last one is 387 and the difference of the final sequence is 28, then the final sequence is consists of 14 terms:

{23; 51; 79; 107; 135; 163; 191; 219; 247; 275; 303; 331; 359; 387}

Answer:

x=3 y=-2

Step-by-step explanation:

Elimination would bring the equation to

3x=18

18/6 is 3

6-3y=12

-3y=6

y=-2

Answer:

it's your second answer: )

Answer:

the one on the right

Step-by-step explanation:

:) s s

Answer:

76

Step-by-step explanation:

I rewrote the question so I wouldn't have to keep going back to the picture.

A poll asked 1000 adults who own smartphones where they put their smartphone while sleeping. The following two-way table of relative frequencies shows the data collected on age and smartphone habits. Of the adults polled, 200 were 65 or older.

How many of the adults polled that were 65 or older sleep with their smartphone within reach?

---------------------------------------------------------------------------------

I bet if I called this a two- way table of "percentages, written as decimals", it would make more sense.

Total number of adults 65 and older = 200. The 0.38 of them that sleep with their phone in reach = 38% of them. Multiply 200 x 0.38 = 76

To check the math, 200 x 0.62 = 124, and 124 + 76 = 200.

As always, please let me know if you have questions. I've answered each of your open questions as of now (11am CDT, USA)

Answer:

Step-by-step explanation:

Its going to be a negative

negative, if wrong so sorry

Answer:

1

Step-by-step explanation:

Since they have the same denominator, it would be:

[tex]\frac{4}{3}-\frac{1}{3}=\frac{4-1}{3} =\frac{3}{3}=1[/tex]

Answer: Answer= -23

Step-by-step explanation: plug in -5 for v. THen multiply 4 and -5 which should give you -20. then subtract -3 from -20 which will give you -23. :)

Answer: sorry don't know but uhh its 5

Step-by-step explanation:

Answer:

1.983 or about 1 1/6

hope this helped!

the hight of the triangle is 13 inches

Answer:

d. (73.9 in^2)

Step-by-step explanation:

I suppose that 9.7 in is the diameter.

R=D/2=9.7/2=4.8in

A=π*(R^2)=3.14*(4.8)^2=73.9 in^2

Answer:

first one is (d) second one is (b)

Step-by-step explanation:

Answer:

Hence, the height of the tree is 14.3 feet.

Answer:

[tex] - 4(x - 1) = 16 \\ = > - 4x + 4 - 16 = 0 \\ = > - 4x - 12 = 0 \\ = > - 4x = 12 \\ = > x = - 3[/tex]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: [tex]H_{0}: p = 0.7[/tex]

And the alternate hypothesis is: [tex]H_{a}: p > 0.7[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that [tex]\mu = 0.7, \sigma = \sqrt{0.7*0.3}[/tex]

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that [tex]n = 500, X = \frac{375}{500} = 0.75[/tex]

Value of the z-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}[/tex]

[tex]z = 2.44[/tex]

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Answer:

C

Step-by-step explanation:

Answer:

B. The longer a skydiver is in freefall, the more feet they fall per second

Step-by-step explanation:

Answer:

2pi

2pi radians are equal to 360 degrees. After this point, the function f(x) = sin(x) repeats its values again. Each cycle is 2pi radians long.

Step-by-step explanation:

Answer:

Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes. The result is a ratio that can be expressed as a fraction (like 2/5), or a decimal.

Step-by-step explanation: