Determine whether each ordered pair is a solution of the system of linear equations.
3y = 6x + 12
2x - y = -4
a. (-3,2)
b. (0,4)
a. Is (-3,2) a solution?
0 Yes
Ο Νο
b. Is (0,4) a solution?
O No
0 Yes

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:

pretty sure it's B!

Step-by-step explanation:

B the distribution is approximately symmetrical

Answer:

Step-by-step explanation:

1) slope = m = 3

(4 , 2) ;  x₁ = 4 ; y₁ = 2

y - y₁ = m(x  - x₁)

y - 2 = 3(x - 4)

y - 2 = 3x - 4*3

y - 2 = 3x - 12

y  = 3x - 12 + 2

y = 3x - 10     {Slope -intercept form: y = mx + b}

3) (-4 , -2) , (4 , 0)

We have to find the slope

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-[-2]}{4-[-4]}\\\\=\frac{0+2}{4+4}\\\\=\frac{2}{8}\\\\=\frac{1}{4}\\[/tex]

m = 1/4  ; (4 , 0)

y - y₁ = m(x  - x₁)

[tex]y - 0 = \frac{1}{2}(x - 4)\\\\y =\frac{1}{2}x - 4 *\frac{1}{2}\\\\y =\frac{1}{2}x - 2[/tex]

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:

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:

647.668 cm³

Step-by-step explanation:

12.5 kg = 12500 g

12500 g/19.3 g/cm³ = 647.668 cm³

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:

Letter A

Step-by-step explanation:

He is the ticket clerk so it makes sense people would ask about the ticket prices.

Answer:

D

Step-by-step explanation:

1/2 * 3/4 equals 0.375 which is less than .5

.5= 1/2

so therefore,  im right i guess.

Answer: sorry don't know but uhh its 5

Step-by-step explanation:

Answer:

8/16, 12/24, 16/32, and 20/45

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

13+6/6=13+1=14

Answer:

14

Step-by-step explanation:

13+6/6=13+1=14

14 is the answer

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:

72 sets

Step-by-step explanation:

(Easy way)

593 -161=432 spoons needed

432/6 =72 sets

(Harder way)

6= 1

432 =x

432 = 6x

x=72

Answer:

Inequality: 6x + 161 ≥ 593

Answer: x ≥ 72

Step-by-step explanation:

Have a good day :)

im really smart (no im not thats why im here)

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:

14.75

Step-by-step explanation:

12.50*0.18 = 2.25

12.50 + 2.25 = 14.75

Answer:

Step-by-step explanation:

Its going to be a negative

negative, if wrong so sorry

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:

What do you need to know?

Step-by-step explanation:

Answer:

Step-by-step explanation:

the hight of the triangle is 13 inches

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:

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.

the answer is 8.25 or 8 1/4

you can get this by dividing 22 by 8 to see the price for one can. this gives you 2.75

now you want to know how much 3 cans would cost. we know one can costs 2.75, so we multiply that by 3.

this would give you 8.25 which is your answer

if this was useful please mark brainliest! （>∀<）

Answer:

3 cans of fruit cocktail would cost $8.25

Step-by-step explanation:

[tex] \frac{22}{8} = 2.75[/tex]

2.75*3=8.25

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:

Answer:

Option 3:  81 pi cu. in

Step-by-step explanation:

Answer:

The answer you clicked is correct.

Step-by-step explanation:

1 teacher = 25 scholars.

Answer:

X follows binomial distribution with n=4, p=0.6, q= 0.4. To make the system function adequately, at least 2 components should work well.

Step-by-step explanation:

Hope this helps

Answer:

0.9728

Step-by-step explanation:

We have 2 options for the system to fail - no components work, or only one works.

The probability that no components work is:

[tex]0.2^4 = 0.0016[/tex]

The probability that one SPECIFIC component works and the others failed is:

[tex]0.2^3 \cdot 0.8 = 0.0064[/tex]

And because there's 4 components, the chance that EXACTLY ONE works but the others don't is:

[tex]4 \cdot 0.0064 = 0.0256[/tex]

So we sum the probabilities:

[tex]P_{failure} = 0.0016 + 0.0256 = 0.0272\\P_{works} = 1 - P_{failure} = 0.9728[/tex]