sally works in a factory that produces 1,000 televisions each day. when 40 televisions were sampled, it was found that 6 were defective. estimate how many defective televisions are made each day

The remainder when p(x) is divided by (x+2) is; -79.

Since one of it's factors is (x+1), it follows that P(-1) = 0.

Hence; 0 = (-1)³ -4(-1)² -a +20

a = 15.

Hence, the polynomial is; p(x)=x3−4x2+15x+20

The remainder when p(x) is divided by (x+2) is;

p(-2) = (-2)³ -4(-2)² + 15(-5) +20

p(-2) = -8 -16 -75 +20

p(-2) = -79.

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Step-by-step explanation:

Remember that

[tex] \frac{dy}{dx} [/tex]

is the gradient or slope function.

So we need to analyze the slope of each graph over given time.l and how it changes.

For the 1st graph, we have a linear function.

Remember the special properties for all linear functions:

The slope at any two points on the line is the same.

So this means our slope here must be constant.

And since our slope is negative, our dy/dx, function must be a constant function that is negative. So

The answer for the first graph is draw a horizontal line underneath the x axis.

For the 2nd graph, we have a slope that is decreasing, reaches 0 at the minimum, then increases even more.

We can draw a linear function that is increasing forever for our dy/dx.

For the 3rd graph, we are increasing , till we hit 0, then decrease until we hit 0, then forever increases.

Our dy/dx will be a parabola that passes through the x axis twice at two different points, facing upwards.

The first , second, and third graph is the dy/dx graphs shown respectively.

All these are examples of possible graphs. If you need more clarification, let me know

Answer:

Scalene obtuse.

Step-by-step explanation:

Scalene means that none of the sides are the same.  You can tell by looking at the triangle that none of the sides are the same.  An obtuse triangle is a triangle with one obtuse angle.  It is a close call between obtuse and right, but I believe that I can definitely say that the angle is a little more than 90 degrees, and is therefore obtuse.

Answer:

1.01 teaspoons is equal to 5 ml

Step-by-step explanation:

it goes up by ( 0.202884 )

1 ml 0.202884 tsp

2 ml 0.405768 tsp

3 ml 0.608653 tsp

4 ml 0.811537 tsp

5 ml 1.0144 tsp

6 ml 1.2173 tsp

7 ml 1.4202 tsp

Hope This Helped

The probability of randomly selecting a can of pink paint is P = 1/3, so the correct option is A.

Assuming that all the cans of paint have the same probability of being randomly selected, the probability that he will choose a pink can is equal to the quotient between the number of pink cans and the total number of cans.

There are 2 cans of white, 4 cans of green, and 3 cans of pink, so a total of 9 cans.

Then the probability is:

P = 3/9 = 1/3.

The correct option is A.

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Answer:

Nadya have 11 pieces of ribbon

3x° is 60° , 2x° is 40° and 4x° is 80°

Note that the sum of angles in a triangle is 180°

Solve for x in the triangle

Then,

3x° +2x° + 4x° = 180°

Add the x°

9x° = 180°

Divide both sides by 9

x° = 180÷ 9 = 20°

If x° = 20

Then 3x° = 3× 20 = 60°

2x° = 2 × 20 = 40°

4x°= 4× 20 = 80°

Therefore, 3x° is 60° , 2x° is 40° and 4x° is 80°

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Answer:

x= 27.5

Step-by-step explanation:

Answer:

D. 32

Step-by-step explanation:

The minimum value on the stem and leaf plot is 54

The maximum value on the stem and leaf plot is 86

to find the range,

max - min = 86 - 54 which is 32

Answer:

D) 32

Step-by-step explanation:

hope it helps!

Answer:

X= 140

Step-by-step explanation:

I hope this helps. =D

Answer:

x=140

Step-by-step explanation:

1.1x+1.4x=350  1. combine like terms which 1.1x+1.4x

2.5x=350        2. /2.5 on both sides

x=140

The height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

From the figure:

Volume = 2500 cubic ft

(10)(x)(25) = 2500

250x = 2500

x = 10 ft

Thus, the height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.

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Answer:

10/3 or 3.3 or 3 1/3

Step-by-step explanation

Answer:

53 Meters.

Step-by-step explanation:

34*34 + 41*41 = 2837.

1156 + 1681 = 2837.

The square root of 2837 would be your answer.

34*34 + 41*41 = 53.26349 * 53.26349

a*a + b*b = c*c.

a² + b² = c².

Answer:

21.74

Step-by-step explanation:

AC^2 = AB^2 + BC^2

AC^2 = 34^2  +  41^2

AC^2 =  1156 + 1681

AC^2 = 2837

AC     = Square root of 2837

AC     =  53.26..

meters saved by walking through the pond = (AB+BC)-53.26

=>  (34+41)-53.26

=>   75 - 53.26

=>    21.74

hope this helps:)

Answer:

exact area = 81π in.²

approximate area = 254.34 in.²

Step-by-step explanation:

Exact:

area = πr²

r = radius = diameter/2 = 18 in./2 = 9 in.

area = πr²

area = π × (9 in.)²

area = 81π in.²

exact area = 81π in.²

Approximate:

π = 3.14 (approximately)

area = πr²

area = 81π in²

area = 81 × 3.14 in.²

approximate area = 254.34 in.²

Answer:

x=11

y=0

Step-by-step explanation:

Don't know if this is what you're looking for but this is correct if you plug it in.

X + 4y = 11    Get x by itself.  x=-4y+11  and plug it into the bottom.

X - 6y = 11

simplify -4y+11-6y=11

11-10y=11

-10y=0

y=0 plug it into the original and you will get

x=11

x=11

Answer:

6¹¹

Step-by-step explanation:

Simplifying the numerator :

Solving the expression :

Answer:

its b

Step-by-step explanation:

because im feeling generous enjoy

Answer:

$5555.20

Step-by-step explanation:

F = P + I

I = Prt

I = $4480 × 0.08 × 3 = $1075.20

F = $4480 + $1075.20

F = $5555.20

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The value of x is 110 more than the value of y.

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

The ∠AOB and ∠COD will be equal to each other because the two angle are vertically opposite angles. Therefore, we can write,

∠COD = ∠AOB

x + 2y = 50

x = 50 - 2y

Since angle ∠BOC and ∠COD are on the same line, the sum of this two angle will be equal to 180°. Therefore,

∠BOC + ∠COD = 180°

x - 2y + x + 2y = 180

2x = 180°

x = 90°

Substitue the value of x,

x + 2y = 50

90 + 2y = 50

2y = -40

y = -20

The difference in the value of x and y is,

Difference = 90 - (-20) = 110

Hence, the value of x is 110 more than the value of y.

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Answer:

4 different ways

Step-by-step explanation:

there are four different ways she can post it because there are four posters she want to hang on the wall.

Answer:

  C.  ∆LMN ~ ∆OPQ, because of AA

Step-by-step explanation:

All of the triangle congruence postulates require at least one pair of corresponding sides be congruent (in addition to other requirements). Triangle similarity can be proved if there are two pairs of congruent corresponding angles.

__

No sides are given as congruent, so no congruences can be proved.

Two pairs of corresponding angles are said to be congruent, so we can say ...

  ∆LMN ~ ∆OPQ, because of AA

Vertex is located over the center of the base of a regular pyramid.

Vertex angle is defined as the angle formed by two lines or rays that intersect at a point. These two rays make the sides of the angle.

Here,  Vertex is the point which is located over the center of the base of a regular pyramid.

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Answer:

Coefficients: 7, -4.

Step-by-step explanation:

In the expression 7x-4x^2, the terms are 7x and -4x^2. There are no constants here, which would just be a number by itself. Coefficients are integers written alongside or multiplied by the variable.

In this expression, the variable x has two coefficients (one per term). These are 7 and -4.

Answer:

7

Step-by-step explanation:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

The constant of proportionality in terms of the number of flowers per plant is 5.

If two quantities varies directly to each other i.e if y varies proportional to x then

y =kx   .....[1]  where, k is the constant of proportionality.

Suppose, y represents the number of roses and x represents the number of plants.

Given is the graph shows a proportional relationship between the number of plants and the number of flowers on the plants.  The graph attached below has the coordinates points,

(0, 0)

(1, 5)

(2, 10)

(3, 15)

(4, 20)

Substitute any coordinate points like (3, 15) in above equation to find k.

15 =k x 3

k = 5

Therefore, the constant of proportionality in terms of the number of flowers per plant is 5.

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Answer:

5

Step-by-step explanation:

The Insurance company pay for Adam $ 6000 for Sam $ 4000, whose total becomes $ 10,000.

Insurance is the area of applied mathematics that studies different risks to individuals, property and businesses, and ways to manage these risks. Insurance mathematics relies heavily on calculus, probability, statistics and interest theory.

Here,

For this case, what you should know is that Sue Jones insurance covers half of the expenses.

Equivalently, her insurance covers:

                                     10/20 = 1/2 = 0.5

Therefore, we have then that

a. for Albert

0.5 * (12000) = $ 6000

b. for Sam

0.5 * (8000) = $ 4000

c. total

The sum of the results of parts a and b

$ 6000 + $ 4000 = $ 10,000

Thus, the Insurance company pay for Adam $ 6000 for Sam $ 4000, whose total becomes $ 10,000

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Answer:

Cube root of 16​

Step-by-step explanation:

x^m/n =n/x^m

4^2/3 = 3/4^2=3/16

So it is Cube root of 16​

Hope This Helped

Answer:

C. 3x + 2y = 12

explanation: