When Avani goes bowling, her scores are normally distributed with a mean of 145 and a standard deviation of 12. Using the empirical rule, determine the interval that would represent the middle 68% of the scores of all the games that Avani bowls.

Answer:

1. y = 4x - 27

2. y = -4x - 15

Step-by-step explanation:

If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:

y - y1 = m(x - x1)

We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:

y - 5 = 4(x - 8)

We can distribute:

y - 5 = 4x - 32

y = 4x - 27

We are not given the slope-intercept form, so we must divide both sides by two to get it:

y = 1/4 x + 8

A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:

y - y1 = m(x - x1)

We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:

y - 5 = -4(x + 5)

We can distribute:

y - 5 = -4x - 20

y = -4x - 15

Answer:

$10

Step-by-step explanation:

m is the independent variable, and a the dependent one.

If m = 3, a = 2.5 + 2.5(3) = 10

The craftsman charges $10 when m = 3.

Answer:

679.20

Step-by-step explanation:

i used math plz mark branliest

Answer:

7

Step-by-step explanation

i did this

Answer:

hope this will help you more

good luck...

Answer:

[tex] \frac{ {x}^{ \frac{2}{3} } {y}^{ \frac{1}{3} } }{2} [/tex]

Answer C is correct

Step-by-step explanation:

[tex] \sqrt[3]{ \frac{ {x}^{2} }{8 {y}^{ - 1} } } \\ \frac{ {x}^{2 \times \frac{1}{3} } \times {y}^{1 \times \frac{1}{3} } }{ \sqrt[3]{8} } \\ = \frac{ {x}^{ \frac{2}{3} } {y}^{ \frac{1}{3} } }{2} [/tex]

Answer:

r= 5

Step-by-step explanation:

because 5^3 = 125 or 5*5*5 = 125

Answer:

142+8=150

150/2=75

Answer:

Answer below. Hope it helps.

Step-by-step explanation:

a. 2x + (x - 6)    {x = 14}

= 2*14 + (14 - 6)

= 28 + 8

= 36

b. n² + n + 1    {n = 8}

= 8² + 8 + 1

= 64 + 9

= 73

c. (r - 10) (r + 2)    {r = 13}  

= (13 - 10) (13 + 2)

= 3 * 15

= 45

Answer:

no clue

Step-by-step explanation:

Answer:

pi*15*7^2=735pi=2309 (to the nearest whole number)

Answer:

No solution

Step-by-step explanation:

I used this online calculator to find the answer. It shows the steps and everything.  https://www.symbolab.com/solver?or=gms&query=2x%2B3y%3D62x%2B3y%3D7

Answer:

no solution

Step-by-step explanation:

Answer:

y=x+12

Step-by-step explanation:

m (slope)=1

y-intercept=12

hope this helped have a great day :)

Answer:

12 days, 72 tickets

Step-by-step explanation:

the x coordinate of the vertex (aka the number of days it takes to peak) is equal to -b/2a, where b is the coefficient of the second term and a is the coefficient of the first term. That is equal to -9.6/2*-0.4 = 12.

plug 12 in for x to get -0.4*12^2+9.6*12+14=71.6, which rounds to 72.

Answer:

opposite=8.402402490459  ,adjacent is already given=12, hypotenuse=14.64929507

Step-by-step explanation:

to do this you will have to use the law of sines. the first thing you need to do is solve for the unknown angle by subtracting 90+35 from 180. so you get the equation 180-(90+35)=55. now that you know all your angles, you can use the law of sines to solve for the unknown sides. the law of sines state that a/sin(A)=b/sin(B). if you substitute the values of 12 and 55 into the equation, since you know those sides, you can then find a ration that you can use to find the other sides, 12/sin(55)=b/sin(B), which is equal to, 14.649... Next you pick whichever side you want to solve for next, and plug in its opposite angle (i would solve for the other leg, because then you can use pythagorean theorem to solve for the hypotenuse, so i will demonstrate that way) plug in the angle 35, since it is opposite the leg and then finish for the variable, 14.649...=b/sin(35). once you have the sin, you can multiply it by the 14.649 to get your side, 14.649...*.5736...=8.402...=b. now you have your two legs, so you can use a^2+b^2=c^2 to solve for the hypotenuse. once you plug in your values it should look like this, 12^2+8.402...^2=c^2. which simplifies down to 214.602...=c^2. so you take the square root of both sides to find c, which equals 14.649. you can check that by seeing if 14.649 is bigger then the other two sides, which it is. This number should look familiar because it was the ratio we got when we divided 12 by the sin(55). the reason that happened is because the sin(90) is 1, the 14.649*1=14.649.

If you have any questions, leave them in the comments and will try to answer them, if this helped, pls give brainliest.

Answer:

8              Percent is: 32%

----

25

Step-by-step explanation:

Answer:

1) SAS

2) SSS

3) SSA

4) ASA

5) No, not enough corresponding info given

Answer:

1) SAS

2) SSS

3) SSA

4) ASA

5) Sorry I don't know

Please mark me as the brainliest

Answer:

m<1 = 70

Step-by-step explanation:

I'll have m<1 = x:

Exterior angles thm:

x + 31 = 101

x = 101 - 31

x = 70

Answer:

60x^15y^5

Step-by-step explanation:

60x to the power of 15 times y to the power of 5

Hope this helps!

Answer:

3 gallons

Step-by-step explanation:

area = 15.2 x 25.6 = 389.12 m²

389.12/180 = 2.16

Answer: C

Step-by-step explanation:

My answer is correct because, if Sadie gets 50 per week then we can just multiply it by 10 and that equals 500. But since we have 75 dollars already we cant multilpy it by 11 but if we times it by 10.5 that equals 525 and if we add 75 dollars that equals 600. but since we get the money every week we have to round that and that would equal 11 weeks.

#[tex]AnimePower[/tex]

Answer:

Both cans have a volume of less than 18 cubic inches.

Step-by-step explanation:

Answer:

12.5% of the day

Step-by-step explanation:

There are 24 hours in 1 day

3/24 = 1/8

.125 = 12.5%

Answer:

12.5%

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

you can use law of sines

Plug in the values (lol sorry i dont have time)

x / sin(angle)  =  y / sin(angle)

Where x and y are separate sides.

Hope this Helps! :3

Answer:

[tex]f(x) = 2[\frac{3^x}{9}] + 2[/tex]

[tex]f(x) = 8(4)^x[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2(3)^{x-2} + 2[/tex]

[tex]f(x) = \frac{1}{2}(4)^{x+2}[/tex]

Required

Remove the h component

In a function, the h component is highlighted as:

[tex]f(x) = a^{x+h}[/tex]

So, we have:

[tex]f(x) = 2(3)^{x-2} + 2[/tex]

Split the exponents using the following law of indices:

[tex]a^m/a^n = a^{m-n}[/tex]

[tex]f(x) = 2*\frac{3^x}{3^2} + 2[/tex]

[tex]f(x) = 2*\frac{3^x}{9} + 2[/tex]

[tex]f(x) = 2[\frac{3^x}{9}] + 2[/tex]

The h component has been removed

[tex]f(x) = \frac{1}{2}(4)^{x+2}[/tex]

Split the exponent using the following law of indices

[tex]a^{m+n} =a^m * a^n[/tex]

So, we have:

[tex]f(x) = \frac{1}{2}(4)^x * 4^2[/tex]

Express 4^2 as 16

[tex]f(x) = \frac{1}{2}(4)^x * 16[/tex]

Divide 16 by 2

[tex]f(x) = 8(4)^x[/tex]

Answer:

C

Step-by-step explanation:

I took the test on A p e x

Hope this helps!

The answer is 286

Step-by-step explanation:

70 x 4 = 280 plus 6 equals 286

Answer:

what is the question dudd

Answer:

C

Step-by-step explanation: