A supervisor records the repair cost for 17 randomly selected VCRs. A sample mean of $68.83 and standard deviation of $12.17 are subsequently computed. Determine the 80% confidence interval for the mean repair cost for the VCRs. Assume the population is approximately normal.

Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answer:

The correct answer is option 2: 32 cm

Step-by-step explanation:

Let l be the length of the picture frame and w be the width

Then according to given statements, the system of equations will be

[tex]2l+2w = 100\ \ \ Eqn\ 1\\w = 2l-4\ \ \ Eqn\ 2[/tex]

Putting w = 2l-4 in equation 1

[tex]2l+2(2l-4) = 100\\2l+4l-8=100\\6l-8 = 100\\6l = 100+8\\6l=108\\\frac{6l}{6}=\frac{108}{6}\\l = 18[/tex]

Putting the value of l in equation 2

[tex]w = 2(18)-4\\w = 36-4\\w = 32[/tex]

The width is 32 cm

Hence,

The correct answer is option 2: 32 cm

Answer:

0

Step-by-step explanation:

Answer:

1785

Step-by-step explanation:

Answer:

Yes they are equivalent

Step-by-step explanation:

Because 24/6=4

And 72/18= 4

Hope this helps, have a good day

Answer:

19

Step-by-step explanation:

228/12=19

Answer:

[tex]-2a^3+a^2-14a +8[/tex]

Step-by-step explanation:

Given

[tex]6a^3+2a^2-8a-9-8a^3-a^2-6a+1[/tex]

Required

Simplify

[tex]6a^3+2a^2-8a-9-8a^3-a^2-6a+1[/tex]

Collect Like Terms

[tex]-8a^3+6a^3-a^2+2a^2-8a-6a-9+1[/tex]

[tex]-2a^3+a^2-14a +8[/tex]

The value of constant of variation is, 5.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

⇒ p varies jointly as q and the cube of r.

Since, p varies jointly as q and the cube of r.

Hence, We can formulate;

⇒ p = k × q × r²

Where, k is constant of variation.

Here, p = 270 when q = 6 and r = 3.

Substitute all the values, we get;

⇒ p = k × q × r²

⇒ 270 = k × 6 × 3²

⇒ 270 = 54k

⇒ k = 270 / 54

⇒ k = 5

Learn more about the proportion visit:

https://brainly.com/question/1496357

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Answer:

(2, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y - 3x = 1

2y - x = 12

Step 2: Rewrite Systems

y - 3x = 1

Step 3: Redefine Systems

y = 3x + 1

2y - x = 12

Step 4: Solve for x

Substitution

Step 5: Solve for y

Answer:

75.23=10.27x

Step-by-step explanation:

Around 7 months

Answer:

2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0

-----

4sin(x)cos(x) - 2sin(x) + 2sqrt(3)cos(x) - sqrt(3) = 0

-----

Factor:

2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0

-----

[2cos(x)-1][2sin(x)+sqrt(3)] = 0

Solve:

2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0

cos(x) = 1/2 or sin(x) = -sqrt(3)/2

x = +/-pi/3 or x = -pi/3 or (4/3)pi

hope this helps!

Answer:

x = +/-pi/3 or x = -pi/3 or (4/3)pi

Step-by-step explanation:

2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0

4sinxcosx - 2sinx + 2sqrt(3)cosx - sqrt(3) = 0

2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0

[2cos(x)-1][2sin(x)+sqrt(3)] = 0

2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0

cos(x) = 1/2 or sin(x) = -sqrt(3)/2

x = +/-pi/3 or x = -pi/3 or (4/3)pi

Answer:

865

Step-by-step explanation:

the trip is 865 miles so that is how many miles he will drive

Answer:

d. a combination of operations on letters and numbers

Step-by-step explanation:

b is a variable and c can be all sort of things

Answer:

D. a combination of operations on letters and numbers.

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

6² + 3²

36 + 9

45

Follow me please

Answer:

is it g(x) = 350(1.04)x − 1

or is it this- > g(x) = 350[(1.04)x − 1]

Step-by-step explanation:

well 350 is the initial quantity and we can write the expression like this- g(x)=350(1+0.4)x−1 so here g(x) is the amount received after x years 350 is the original amount 0.4 corresponds to rate of increment

Answer:

you mean 2.5?????? in two quart????

Answer:

Good for Lily.

Step-by-step explanation:

Answer:

y=-4x+10

Step-by-step explanation:

you subtract 4x on both sides

Answer:

Step-by-step explanation:

Divide the numbers

12+153⋅6−412+153⋅x6−412+315​⋅x6−412+56−412+5x6−4 12+5x6−4

Answer:

the answer is A,

P(x) = -0.4x³+100x²-900x+500

Step-by-step explanation:

monthly cost:

[tex]c(x) = 600x {}^{2} + 300x[/tex]

monthly revenue:

[tex]r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500[/tex]

profit function:

[tex]p(x) = r(x) - c(x)[/tex]

[tex]p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)[/tex]

i) remove the first bracket

[tex]p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)[/tex]

ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket

[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x[/tex]

iii) collect like terms

[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500[/tex]

iv) simply the like terms

[tex]p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500 [/tex]

Answer:237 . 12

Step-by-step explanation:

pleas give me a BRAINLY pleas

Answer:

y = 4[tex](3)^{x}[/tex]

Step-by-step explanation:

For an exponential function in the form

y = a [tex]b^{x}[/tex]

Use the given points to find the values of a and b

Using (1, 12), then

12 = ab → (1)

Using (2, 36), then

36 = ab² → (2)

Divide (2) by (1)

[tex]\frac{36}{12}[/tex] = [tex]\frac{ab^2}{ab}[/tex] , then

3 = b

Substitute b = 3 into (1) for value of a

12 = 3a ( divide both sides by 3 )

4 = a

Thus

y = 4[tex](3)^{x}[/tex] ← is the exponential function

Answer:

Step-by-step explanation:

Answer:

the correct graph is B

Step-by-step explanation:

to check, you can see that my graph and graph in answer B both intersects at (-1,2)

We are not given the radius of the circle or any other relevant data, so I assumed the radius of the circle r=5

Answer:

The y-coordinate of Q is 3

Step-by-step explanation:

Circles and Lines

The figure below shows a circle of radius r=5 and a segment that goes from the center of the circle to a point of the circumference, where x=4.

We can find the y-coordinate of that point by using Pithagora's theorem:

[tex]r^2=x^2+y^2[/tex]

Solving for y:

[tex]y^2=r^2-x^2[/tex]

[tex]y^2=5^2-4^2[/tex]

[tex]y^2=25-16=9[/tex]

[tex]y=\sqrt{9}=3[/tex]

The y-coordinate of Q is 3

Answer:

Step-by-step explanation:

HII do the parentheses first then carry on if you need more help i suggest you go to caculatorsoup  and search mixed number caculator and it should help u its a web

Answer:

If you were to get a different piece of paper and trace the same shape and flip it over to the same position that one of them is in it will be the exact same measurements!

Answer:

Step-by-step explanation:

x^2 - 11x + 30 = (x - 6)(x - 5)

x^2 - 4 = (x + 2)(x - 2)

x^2 + 3x - 40 = (x + 8)(x - 5)

x - 2 = x - 2

Invert and multiply the right fraction.

(x - 6)(x - 5)           (x - 2)

===========   x   =======

(x - 2)(x + 2)          (x + 8)(x - 5)

x - 5 on the top cancels with x - 5 on the bottom

x - 2 on the top  cancels with x - 2 on the bottom left

So what's left?

(x - 6)

===============

(x + 2)(x + 8)

This is likely the answer.

Answer:

[tex]\frac{x-6}{x^{2} +10x+16}[/tex]

Step-by-step explanation:

to much to explain