The mean numbers of hours of part time work per week for a sample of 521 college students is 27 if the margin error for the population mean with a 95% confidence interval is 1.2 construct a 95% confidence interval for the mean number of hours of part time work per week for all college students

Using translation concepts, it is found that the correct option, which represents the transformation made to function [tex]g(x) = 8|x - 15| - 30[/tex], is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

The parent function is:

[tex]p(x) = |x|[/tex]

The first transformation was [tex]x \rightarrow x - 15[/tex], which means that it was shifted 15 units to the right.

Then, the function was multiplied by 8, which means that it was stretched vertically by a factor of 8.

Finally, 30 was subtracted from the function, which means that it was shifted down 30 units.

Hence, the correct option is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

A similar problem is given at https://brainly.com/question/18405655

Answer:

divison

Step-by-step explanation:

3x=81

3x/3=81/3

Answer:

True

Step-by-step explanation:

Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.

Answer:

True

Step-by-step explanation:

Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.

Answer:

A. 1/2

Step-by-step explanation:

GradPoint answer

I got it correct on the lesson.

n= -5p - m

dis is 20 characterrs now

Answer: A= 304 feet B=1460

Step-by-step explanation:

Answer:

I think this would be 33,222 I don't know I feel positive about this.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Additive inverse is when two numbers add up to zero.

A. Mia walked 5 mi north and then walked 5 mi west.

B. A scuba diver descends 40 m from sea level and then descends another 10 m.

C. Gabriella charges $300 on her credit card and then pays the $300 credit card bill.

D. A helium atom has 2 positively charged protons and 2 negatively charged electrons.

Answer:

It is given

4x+3y=24

We can also write it as

3y=24−4x

 y=324−4x

Substituting x=0 in the given equation

 y=324−4(0)

 So we get 

 y=324

 By division 

 y=8 

 Substituting x=3 in the given equation 

 y=324−4(3)

 So we get

 y=312

 BY division 

 y=4

Answer:

-2csc^2(x)cot(x)

Step-by-step explanation:

by derivative sin^-2(x)

Answer:

645/28 hours

Step-by-step explanation:

In 1 hour, Kamina does 1/43 of the job.

Simon takes x hour to do the job alone.

In 1 hour, Simon does 1/x of the job.

Together, they do the job is 15 hours, so in 1 hour, they do 1/15 of the job.

1/43 + 1/x = 1/15

15x/(645x) + 645/(645x) = 43x/(645x)

15x + 645 = 43x

28x = 645

x = 645/28

Answer:

140 dollars salma made if she worked for 8 hrs long

Answer:

104

Step-by-step explanation:

143 = 11 hours

143/11 = 1 hour

13= 1 hour

13 × 8 = 104

Answer:

I'm not 100% sure but I think it's C.

it might also be B. it's one of those 2 for sure but I'm like %80 sure it’s C.

Step-by-step explanation:

please let me know if im right or wrong....

Answer:

x=2, z=4, y=-6

Step-by-step explanation:

Add

-9x-y+2z= -4

-6x+y+5z= 2

-9x-6x is -15x

-y+y is 0

2z+5z is 7z

-4+2 is -2

So the equation now looks like this: -15x+7z=-2

Subtract

-6x+y+5z= 2

-4x+y+5z= 6

So the equation will look like this:

-6x+y+5z= 2

-(-4x+y+5z= 6)

-6x+4x is -2x

y-y is 0

5z-5z is 0

2-6 is -4

So the equation now looks like this: -2x=-4

You can find x by dividing -2 on both sides:

x=2

So 2 is x

Now you can substitute x into 2

-15(2)+7z=-2

-30+7z=-2

7z=28

Divide 7 on both sides:

z=4

So now you can substitute z into 4 (For any of the three equation)

-4(2)+y+5(4)=6

-8+y+20=6

20 minus 8 is 12

y+12=6

Subtract 12 on both sides:

y=-6

So the answers are

x=2, z=4, y=-6

Hope this helps!

Answer:

Step-by-step explanation:

The points:

The domain (set of input values) is:

The range (set of output values):

The relation is not a function because the same input (-5) has two different outputs (6 and 8).

Answer:

x = 14.5

can also be written as;

x = 29/2

Step-by-step explanation:

Hey there! :-)

-8+r>-8

r>-8+8

r>0

Hope it helps!

~Just a joyful teen

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Hey there!

-8 + r > -8

= r > -8 + 8

= r > 0.

Steps :-

Hope it helps ya!

Answer:

888888

Step-by-step explanation:

Answer:

f×3-f×(-3)

3f+3f

solution:

6f

Step-by-step explanation:

hope it's can help

9514 1404 393

Answer:

  $116.59

Step-by-step explanation:

If I had a TI-84 calculator, I could figure it out.

__

The tax is the product of tax rate and taxed amount (rounded to cents):

  0.06 × $109.99 = $6.5994 ≈ $6.60

The amount you have to pay is the total of the listed price and the tax:

  $109.99 +6.60 = $116.59

The area of a square whose side length is (7a^2b^3) is 49a^4b^6

The formula for calculating the area of a square is expressed as:

A = L^2

L is the side length of the square

Given the following parameter

L = 7a^2b^3

Get the area of the square

A = (7a^2b^3)^2

A = 7^2 * a^4 * b^6

A = 49a^4b^6

Hence the area of a square whose side length is (7a^2b^3) is 49a^4b^6

Learn more here: https://brainly.com/question/17182640

Answer:

Here are the answers for the whole QC for CA students.

1. C

2. A

3. no

4. c

5. A

Step-by-step explanation:

Answer:

$330.00

Step-by-step explanation:

Hey there!

The word ‘of’ in math means multiply

And

11% of 3,000

= 11/100 * 3,000

= 11/100 * 3,000/1

= 11(3,000)/100(1)

= 33,000/100

= 33,000 ÷ 100/100 ÷ 100

= 330/1

= 330

Therefore, the answer is most likely: 330

(NONE of the ABOVE)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

it is NOT a function, because one x value (13) has more than one associated result value (2 and 4). that violates the basic principle of a function.

anyway, the domain is the interval or set of the valid values for x, and the range the interval or set of the valid values for y.

the domain is {13, 18, 39, 51}

the range is {-5, 2, 4}

Answer: c

Step-by-step explanation:

sin(45) =  [tex]\frac{12}{AB}[/tex]

sin(45) = [tex]\frac{\sqrt{2} }{2}[/tex]

so [tex]\frac{\sqrt{2} }{2} =\frac{12}{AB}[/tex]

[tex]AB = \frac{24}{\sqrt{2} }[/tex]

[tex]AB = (\frac{24}{\sqrt{2} }) (\frac{\sqrt{2} }{\sqrt2} } )[/tex]

[tex]AB = \frac{24\sqrt{2} }{2}[/tex]

[tex]AB= 12\sqrt{2}[/tex]

Please give me a brainliest answer

[tex]\\ \sf\longmapsto cos45=\dfrac{CB}{AB}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{\sqrt{2}}=\dfrac{12}{AB}[/tex]

[tex]\\ \sf\longmapsto AB=12\sqrt{2}[/tex]

4x + 3 = -5x + 21

9x + 3 = 21

9x = 18

x = 2

Hope this helps!! :)

Answer:

x=2

Step-by-step explanation:

4x + 3 = -5x + 21

Answer:

The initial speed of the ball is  98.22 ft/s

The maximum height of the ball is 75.02 ft.

Step-by-step explanation:

Hi there!

Step-by-step explanation:

The position and velocity vectors of the ball can be calcualted as follows:

r = (x0 + v0 · t · cos α, y0 + v0 · t · sin α + 1/2 · g · t²)

v = (v0 · cos α , v0 · sin α + g · t)

Where:

r = position vector at time t.

x0 = initial horizontal position.

v0 = initial velocity.

t = time.

α = launching angle.

y0 = initial vertical position.

g = acceleration due to gravity (-9.8 m/s² considering the upward direction as positive).

v = velocity vector at time t.

Let´s call r final to the position vector when the ball is caught (see attached figure). The components of r final are:

x = 300 feet

y = 0

Then, r final = (300 feet, 0)

Notice that the origin of the frame of reference is located at the launching point.

Then, when the ball is caught:

300 feet = x0 + v0 · t · cos α

0 = y0 + v0 · t · sin α + 1/2 · g · t²

We have a system of two equations with two unknowns (t and v0), so, let´s solve it.

Let´s solve the first eqation for v0:

300 feet = x0 + v0 · t · cos α

Since the frame of reference is located at the launching point (x0 = 0). Then:

300 feet = v0 · t · cos 45°

300 feet /( t · cos 45°) = v0

Now, let´s replace v0 in the secod equation of the system:

0 = y0 + v0 · t · sin α + 1/2 · g · t²    (y0 = 0)

0 = 300 feet/(t · cos 45°) · t · sin 45° - 1/2 · 9.8 m/s² · t²

0 = 300 feet · sin 45°/cos45° - 4.9 m/s² · t²       (sin45°/cos45° = 1)

0 = 300 feet - 4.9 m/s² · t²

-300 feet = -4.9 m/s² · t²

-300 feet / -16.08 ft/s²  = t²

t = 4.32 s

Now, we can calculate the initial velocity:

300 feet /( t · cos 45°) = v0

300 feet /( 4.32 s · cos 45°) = v0

v0 = 98.22 ft/s

The initial speed of the ball is  98.22 ft/s

To obtain the maximum height of the ball, we have to find at which time the ball is at its maximum height. We can do this in several ways, but we will use the equation of velocity. See in the figure that when the ball is at its maximum height, the y-component of the velocity is zero (because the vector is horizontal). Then, using the equation of the y-component of the velocity:

vy = v0 · sin α + g · t

0 = 98.22 · sin 45° - 32.15 ft/s² · t

(-98.22 · sin 45°) / - 32.15 ft/s² = t

t = 2.16 s

(Notice that this time is half the total time of flight calculated above (4.32 s). This is also the time at which the horizontal distance traveled by the ball is half the total horizontal traveled distance. This is so because the trajectory of the ball is a parabola).

Now that we have the time, we can calculate the y-component of the position vector (r1y in the figure).

r1y = v0 · t · sin α + 1/2 · g · t²

r1y = 98.22 ft/s · 2.16 s · sin 45° - 1/2 · 32.15 ft/s² · (2.16 s)²

r1y = 75.02 ft

The maximum height of the ball is 75.02 ft.

Answer:b

Step-by-step explanation:

Answer:

0 degree

Step-by-step explanation:

you know all the time the answer of the probality is 0 rarely any other dijit

Answer:

False

Step-by-step explanation:

-24-(-18) is -6 not 6 so it would be untrue