Digitalis is a technology company that makes high-end computer processors. Their newest processor, the luteA, is going to be sold directly to the public. The processor is to be sold for $4500 , making Digitalis a profit of $383 . Unfortunately there was a manufacturing flaw, and some of these luteA processors are defective and cannot be repaired. On these defective processors, Digitalis is going to give the customer a full refund. Suppose that for each luteA there is an 11% chance that it is defective and an 89% chance that it is not defective. If Digitalis knows it will sell many of these processors, should it expect to make or lose money from selling them? How much?




To answer, take into account the profit earned on each processor and the expected value of the amount refunded due to the processor being defective.

Answer: 5% approximately

Step-by-step explanation:

Jen earns $35,650 a year working for an electronics supplier and pays $1,749.80 in state income tax each year. To calculate the income tax rate, we divide the amount paid as tax by her annual income and then multiply by 100. This will be:

= 1749.80/35650 × 100

= 4.91%

= 5% approximately

The state's tax rate is 5%.

Answer:

A

Step-by-step explanation:

a triangle equals 180 degrees, this is an isosceles triangle so 2 sides and the sides (opposite) angles are equal, so angle X = 180 - 70 - 70 so angle X equals 40 degrees as 180 - 140 = 40

Answer:

x=16 and y=7

Step-by-step explanation:

This is easy. Its a systems equation.

-3x + 8y=8

3x - 9y= -15

-3x and 3x cancel out

8y plus -9y= -y

8+-15= -7

y=7

-3x+8(7)=8

-3x+56=8

-3x=-48

x=16

Answer:

Step-by-step explanation:

Answer: 270

Answer:

Hey!

The car travelled 135 kilometers!

Step-by-step explanation:

Here you have to do the speed (45km/h) multiplied by the time (3 hours)

45 x 3 = 135

So the car has travelled 135 kilometers!

HOPE THIS HELPS!!

Answer:

Jiri is 22

Pamela is 44

Step-by-step explanation:

Look at the attachment

Answer:

Jiri is 22 years old.

Step-by-step explanation:

P=2J

P+J=66

2J+J=66

3J=66

J=22

Answer:

133 students would fill 2 buses and 3 vans

Step-by-step explanation:

Let x be the no. of students in each van

No. of students in 12 vans = 12x

No. of students in 14 vans = 14x

Let y be the no. of students in each bus

No. of students in 14 buses = 14y

No. of students in 12 buses = 12y

We are given that The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.

12x+14y=796 ---1

We are also given that General High rented and filled 14 vans and 12 buses with 738 students.

14x+12y=738 ---2

Plot 1 and 2 on graph

12x+14y=796 --- Green line

14x+12y=738 --- Purple line

Intersection point gives the solution

Intersection point=(x,y)=(15,44)

No. of students in 1 van = 15

No. of students in 3 vans = [tex]15 \times 3 = 45[/tex]

No. of students in 1 bus = 44

No. of students in 2 buses =[tex]44 \times 2 = 88[/tex]

So,Total no. of students in 3 vans and 2 buses = 45+88=133

Hence 133 students would fill 2 buses and 3 vans

Answer:I’m on that same question and I need help to

Step-by-step explanation:

Answer:

Table C is a linear function. Table A is an exponential function. And lastly table B is a quadratic function.

Step-by-step explanation:

I know that table C is linear because it has a constant rate of change the whole entire time.

I know table A is exponential because of the way it drastically increases at the end.

And lastly I know that table B is quadratic because if I were to graph it and keep on placing points, it would make a parabola.

I hope I helped.

Answer:

Population at start : 8,230.

The rate of growth: r = 1.25

x - number of the years;

Answer:

B ) f ( x ) = 8,230 * ( 1.25 ) ^x where 1.25 is the rate of growth.

Step-by-step explanation:

Jessica develops a function to model this 8230(1.25)ˣ, where 1.25 is the rate of growth.

In an ideal condition where there is an unlimited supply of food and resources, the population growth will follow an exponential order.

Jessica has been tracking the population of a town.

The population was 8,230 last year and has been increasing by 1.25 times each year.

The population growth function is;

[tex]\rm f(x)=P_0 x^t[/tex]

Substitute all the values in the formula;

[tex]\rm f(x)=P_0 x^t\\\\f(x) = 8230 (1.25)^x[/tex]

Hence, Jessica develops a function to model this 8230(1.25)ˣ, where 1.25 is the rate of growth.

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Answer:

130.67

Step-by-step explanation:

Answer:

C 11/3

Step-by-step explanation:

x - 4 + 3x = 8 - 2x + 10

4x - 4= -2x + 18

6x = 22

x = 3.67 -> 11/3

Answer:

12.5

Step-by-step explanation:

Inverse maths

0+25=25

25÷2=12.5 so x = 12.5

Answer:

type the question picture isnt showing up

Step-by-step explanation:

Answer:

C and E on edge

Step-by-step explanation:

C- V = one-third pi r squared h

E- V = four-thirds pi r cubed

Answer:

c and e

Step-by-step explanation:

i agree

Answer: Bro write the question better

Step-by-step explanation:

Answer:

A =28.26 inches^2

Step-by-step explanation:

The diameter is 6 so the radius is d/2 = 3

The area is given by

A = pi r^2

A = pi (3)^2

A = 9pi

Using 3.14 for pi

A = 9 * 3.14

A =28.26 inches^2

Answer:

~28.2743

Step-by-step explanation:

- The formula for a circle's area is:  Area= pi * radius^2

1.) We know the diameter is 6, and the radius is ALWAYS half of the diameter so the radius=3.

2.) Now we square the radius and multiply it by pi, which ends up as ~28.2743 as the area.

Answer:

The mean absolute deviation (MAD) of her Math scores would be 1.2.

Step-by-step explanation:

Mean: 5.4 + 6.4 + 7.8 + 8.8 = 28.4/4 = 7.1

7.1 - 5.4 = 1.7

7.1 - 6.4 = 0.7

7.1 - 7.8 = 0.7

7.1 - 8.8 = 1.7

Mean Absolute Deviation: 1.7 + 0.7 + 0.7 + 1.7 = 4.8/4 = 1.2

hope this helps :)

Answer: I'm guessing but the answer should beD. 8.8.Tell me if I'm wrong. But at least I tried.

Step-by-step explanation:

Answer:

its 78.1

Step-by-step explanation:

Answer:

78.1

Step-by-step explanation:

On khan academy :)

We just count squares.  Those two half-squares will add to one whole square.  So this is a 3x4 rectangle plus a triangle of area 2.

Answer: 14

Answer:

12

Step-by-step explanation:

If you were asking how many strawberries it would take to finish all 60, this is the answer, otherwise please rephrase the question.

If Charlotte ate 12 strawberries, you would have to do 12 x 4 which would be four times the amount of strawberries Charlotte ate, 12 x 4 = 48, Emily ate 48 strawberries, 48 + 12 = 60.

Charlotte eats 12 strawberries.

Let the amount of strawberries eaten by Charlotte be represented by x.

Since Emily eats four times the amount that Charlotte eats, then Emily will eat:

= (4 × x) = 4x.

Since Emily and Charlotte have a total of 60 strawberries, then this will be:

4x + x = 60

5x = 60

x = 60/5

x = 12

Therefore, Charlotte eats 12 strawberries.

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Answer:

I'm not sure if you still need it but the answer is the third one.

Step-by-step explanation:

In order for a line to be parallel the lines need to have the same slope.

Answer:

The answer would be y=3/4X+9

Step-by-step explanation:

It must have the same slope since it is parallel, so

m = 3/4

y - y1 = m(x - x1)

y - 0 = (3/4)[x - (-4)]

y = (3/4)(x + 4)

Answer:

D

Step-by-step explanation:

John is correct as Dividing does not always gets the quantity smaller for example if we divide 4 by 0.5

We get

4/0.5= 8

Answer:

I think it's -g(x) + f(y) = -18

Step-by-step explanation:

f(y) +3 = g(x)-15

-3             -3

f(y)= g(x) -18

-g(x)    -g(x)

Solution: -g(x) + f(y) -18

Answer:10/91

Step-by-step explanation:

Answer:

  B. an octagon

  C. a decagon

Step-by-step explanation:

A cube has six (6) plane faces, so any plane slice can intersect at most all 6 of those faces, creating a hexagon. No plane figure with more than 6 sides can be created by slicing a cube with a plane.

Cannot be created:

Answer:

RQ, PQ and RP.

Step-by-step explanation:

Note: Options are not correct.

From the given information, in triangle RPQ

[tex]\angle QRP=40^\circ[/tex]

[tex]\angle RPQ=105^\circ[/tex]

[tex]\angle PQR=35^\circ[/tex]

In a triangle, greatest angle has longest opposite side and smallest angle has shortest opposite side

Now,

[tex]\angle RPQ>\angle QRP>\angle PQR[/tex]

[tex]RQ>QP>PR[/tex]

[tex]RQ>PQ>RP[/tex]

Therefore, the order from longest to shortest is RQ, PQ and RP.

Answer:

RQ, PQ and RP.

Step-by-step explanation:

Answer:

78 Children, 78 students, and 39 adults

Step-by-step explanation:

TOok me so long but if u add all that u get 195, correct.

78 times 5 is 390

78 times 7 is 546

39 times 12 is 468

which all added together is 1404.

Answer:

y=3.50x+195

Step-by-step explanation:

y=3.50x+195

let y= total cost and x= square feet of carpet needed.

Answer:

x = -4 or 3

Step-by-step explanation:

[tex]x^{2}[/tex] + 6x - 2 = -[tex]x^{2}[/tex] + 4x + 22

2[tex]x^{2}[/tex] + 2x - 24 = 0

[tex]x^{2}[/tex] + x - 12 = 0

(x + 4)(x - 3)=0

x = -4 or 3

Answer:

If the coefficient of the squared term is positive, the parabola opens up. The vertex of this parabola is called the minimum point. If the coefficient of the squared term is negative, the parabola opens down. The vertex of this parabola is called the maximum point.

The graph opens upward, if the vertex of the quadratic function with a positive a value.

Given that, the quadratic function with a positive a value.

The vertex of the graph of a quadratic function is the highest or lowest possible output for that function. If you're looking at a graph, the vertex would be the highest or lowest point on the parabola. The easiest way to find the vertex is to use the vertex formula.

If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h, k). Any quadratic function can be rewritten in standard form by completing the square.

Therefore, the graph opens upward, if the vertex of the quadratic function with a positive a value.

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