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4 years ago

PLEASE ANSWER! I WILL BRIANLIEST.

Mathematics

1 answer:

Brut [27]4 years ago

5 0

Let x be the required waranty period, then
P(X < x) = P(z < (x - 12)/(8/12)) = 1 - 0.067 = 0.933
P(z < 12(x - 12)/8) = P(z < 1.498)
12(x - 12)/8 = 1.498
x - 12 = 8(1.498) / 12 = 0.9987
x = 12 - 0.9987 = 11

Therefore, they should waranty for 11 years so that no more than 6.7% fail within that time.

cost of production = %13
Let the price be p, then
revenue less price of failed iron = p - 0.067(13) = p - 0.871
Profit = p - 0.871 - 13 = 5
p - 13.871 = 5
p = 5 + 13.871 = 18.871

Therefore, the should charge $18.87 per waffle iron.

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Order 56656, 67445, 9199

gayaneshka [121]

Answer: Least to greatest: 9199, 56656, 67445

Greatest to least: 67445, 56656, 9199

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Suppose that a brand of lightbulb lasts on average 1730 hours with a standard deviation of 257 hours. Assume the life of the lig

Debora [2.8K]

Answer:

P [ 1689 ≤ X ≤ 2267 ] = 54,88 %

Step-by-step explanation:

Normal Distribution

Mean μ₀ = 1730

Standard Deviation σ = 257

We need to calculate z scores for the values 1689 and 2267

We apply formula for z scores

z = ( X - μ₀ ) /σ

X = 1689 then

z = (1689 - 1730)/ 257 ⇒ z = - 41 / 257

z = - 0.1595

And from z table we get for z = - 0,1595

We have to interpolate

- 0,15 0,4364

- 0,16 0,4325

Δ = 0.01 0.0039

0,1595 - 0,15 = 0.0095

By rule of three

0,01 0,0039

0,0095 x ?? x = 0.0037

And 0,4364 - 0.0037 = 0,4327

Then P [ X ≤ 1689 ] = 0.4327 or P [ X ≤ 1689 ] = 43,27 %

And for the upper limit 2267 z score will be

z = ( X - 1730 ) / 257 ⇒ z = 537 / 257

z = 2.0894

Now from z table we find for score 2.0894

We interpolate and assume 0.9815

P [ X ≤ 2267 ] = 0,9815

Ths vale already contains th value of P [ X ≤ 1689 ] = 0.4327

Then we subtract to get 0,9815 - 0,4327 = 0,5488

Finally

P [ 1689 ≤ X ≤ 2267 ] = 0,5488 or P [ 1689 ≤ X ≤ 2267 ] = 54,88 %

8 0

3 years ago

A parabola can be drawn given a focus of (5, -3) and a directrix of y=1. Write the equation of the parabola in any form.

Anna71 [15]

Answer:

(x²-10x+33)/(-8) = y

Step-by-step explanation:

The distance between any point on a parabola from both its focus and directrix are the same.

Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,

$\sqrt{(x-5)^2+(y-(-3))^2}$ is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.

Equating the two equations given, we have

$\sqrt{(x-5)^2+(y-(-3))^2} = |y-1|$

square both sides to get

(x-5)²+(y+3)²=(y-1)²

expand the y components

(x-5)² + y²+6y+9 = y²-2y+1

subtract y²+6y+9 from both sides

(x-5)² = -8y - 8

expand the x components

x²-10x+25 = -8y - 8

add 8 to both sides to isolate the -8y

x²-10x+33 = -8y

divide both sides by -8 to isolate y

(x²-10x+33)/(-8) = y

6 0

3 years ago

if the side length of a square pyramid is tripled and the slant height is divided by 5, what would be the formula to find the mo

Yuliya22 [10]

i believe the formula you need is; SA= n(3/10 ib) + 9b

5 0

4 years ago

(20 points) Can someone explain to me how to multiply polynomials? Practice question: (y - 3) (y - 4)

kramer

Answer:

y² -7y+12

Step-by-step explanation:

first, you have to multiply each character on the first parenthesis to the second one, one by one. just like the picture attached.

then, combine all of the same variable. like the 2 variable that has y.

6 0

3 years ago