Every set of 3 points must be ______ because connecting them makes an imaginary flat surface or plane

Someone pls help asap this is due tmrw !! x - 3y = -12 2x + 3y = 3

hram777 [196]

Answer:

Step-by-step explanation:

to solve this system of equations we will add them

x-3y=-12

2x+3y=3 now +3y-3y=0

3x=-12+3

3x=-9

x=-3

plug in the first equation

-3-3y=-12

-3y=-12+3

-3y=-9

y=3

4 0

2 years ago

What is 3/8 as an equivalent fraction with the LCM as the denominator?

tino4ka555 [31]

Answer:

3/8 = 9/24

Step-by-step explanation:

So here we have a basic multiplication problem and finding the LCM of 8 and 3. The first step in this problem is finding the LCM of 3/8. The LCM of 3 and 8 is 24. So yay! we have the bottom half of our answer!

Ex.-

The LCM of 8 and 3 is 24.

So now we have to find an equivalent fraction. Since we already know that 8 (the denominator in the original equation) can be multiplied by 3 to equal 24, we use 3 (the numerator in the original equation) and multiply it by itself to get an equivalent fraction.

Ex.-

8 x 3 = 24

3 x 3 = 9

Now that we have our numerator and denominator, all we have to do now is put them together to get our answer.

Ex.-

9/24 (answer) = 3/8 (original equation)

Hopefully I could help! :)

4 0

2 years ago

Jim would like to create a pencil holder with no top. He would like it to be 5 inches taller and 3 inches wide. He can't decide

irakobra [83]

Answer:

$\$11.13$

Step-by-step explanation:

step 1

Find the surface area of the cylinder

The surface area of the cylinder is equal to

$SA=\pi r^{2} +2\pi rh$

we have

$r=3/2=1.5\ in$ ----> the radius is half the diameter

$h=5\ in$

assume

$\pi =3.14$

substitute

$SA=(3.14)(1.5)^{2} +2(3.14)(1.5)(5)=54.165\ in^{2}$

Find the cost

$54.165*(0.75)=\$40.62$

step 2

Find the surface area of the square prism

The surface area of the prism is equal to

$SA=b^{2} +4bh$

we have

$b=3\ in$

$h=5\ in$

substitute

$SA=(3)^{2} +4(3)(5)=69\ in^{2}$

Find the cost

$69*(0.75)=\$51.75$

step 3

Find the difference of costs

$\$51.75-\$40.62=\$11.13$

4 0

3 years ago

The College Board SAT college entrance exam consists of three parts: math, writing and critical reading (The World Almanac 2012)

Eddi Din [679]

Answer:

Step-by-step explanation:

Hello!

You have the math and writing SAT scores of twelve students.

There are two variables of interest X₁: Math SAT score of a student. and X₂: Writing the SAT score of a student.

These two variables aren't independent since both of them represent data corresponding to the same student, meaning, that the math and writing scores belong to the same students and not to two separate groups of students.

This is an example of paired samples, to make the statistical test you have to establish a third variable, this variable will be the difference between the other two:

Xd= X₁-X₂

Xd: "Difference between the Math and Writing SAT scores of a student.

This variable has a normal distribution Xd~N(μd;σd²)

a. Using a .05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores? Enter negative values as negative numbers. Round your answer to two decimal places.

The parameter of interest is μd is the population mean of the difference between the math and writing SAT scores of the students.

The hypotheses are:

H₀: μd=0

H₁: μd≠0

α: 0.05

The test statistic is a t-student for dependent samples and it's rejection region is two-tailed.

$t= \frac{Xd[bar]-Mud}{Sd/\sqrt{n} } = \frac{25-0}{37.05/\sqrt{12} } = 2.33$

What is the p-value? Round your answer to four decimal places.

The p-value for this test is: 0.0394

The p-value is less than the level of significance, the decision is to reject the null hypothesis.

b. What is the point estimate of the difference between the mean scores for the two tests?

The sample mean for the variable "difference" is X[bar]d

You can calculate the point estimate of the sample mean of the variable Xd using two ways.

1) You calculate all the differences between the pairs of scores, add them and divide them by the sample size

X[bar]d= ∑di/n

∑di= 300

n=12

X[bar]d= 300/12= 25

2) You can calculate the sample mean for each variable and then calculate the difference between the two sample means

X[bar]₁= ∑X₁/n

∑X₁= 6168

X[bar]₁= 6168/12= 514

X[bar]₂= ∑X₂/n

∑X₂= 5868

X[bar]₂= 5868/12= 489

X[bar]d= X[bar]₁-X[bar]₂ = 514 - 489= 25

What are the estimates of the population mean scores for the two tests?

Math test X[bar]₁= 514

Writing test X[bar]₂= 489

Which test reports the higher mean score?

The Math test reports a higher mean score.

I hope it helps!

3 0

2 years ago

A salesperson earns a commission of $391 for selling $2300 in merchandise.Find the commission rate. Write your answer as a perce

aalyn [17]

The salesperson earns a commission of $391

The total amount of merchandise that he sold is $2300

The commission rate is given by

$r=\frac{\text{commission amount}}{\text{ sold amount}}$ $r=\frac{\$391}{\$2300}=0.17$

To convert the rate into percentage, multiply with 100%

$r=0.17\cdot100=17\%$

Therefore, the commission rate is 17%.

6 0

1 year ago