A computer retail store has 10 personal computers in stock. A buyer wants to purchase 4of them. Unkown to either the retail store or the buyer, 4 of the computers in stock have defective hard drives. Assume that the computers are selected at random.A. In how many different ways can the 4 computers be chosen?Answer: 210B. What is the probability that exactly one of the computers will be defective?Answer:

Anjelah finished at 1:02 P.M. if she started at 10:15 A.M. and she took 2 hours and 47 minutes to complete it.

According to the question,

We have the following information:

Anjelah finished in 2 hours and 47 minutes.

She started at 10:15 A.M.

Now, we know that there are 60 minutes in an hour (more to know: there are 60 seconds in a minute).

So, we will add 2 hours to 10:15 A.M.:

10:15 + 2:00

12:15 P.M.

(Note that the digits before the colon gives us time in hours and the digits after the colon gives us minutes.)

Now, we will add 47 minutes to it:

12:15 + 0:47

(Now, we know that only 45 minutes can be added to 15 minutes because then it will make an hour. So, 2 more minutes will be added to the next hour.)

So, we have the following expression:

1:02 P.M.

Hence, the time when Anjelah will finish is 1:02 P.M.

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Answer:

p(-1) = 7

p(2) = -2

Step-by-step explanation:

We have p(x) = 4 - 3x

p(-1) = 4 - 3(-1) = 4 + 3 = 7

p(2) = 4 - 3(2) = 4 - 6 = -2

Answer: [tex]-10 < x < 0, x > 12[/tex]

Step-by-step explanation:

[tex]f(x) < g(x)[/tex] when the graph of [tex]f(x)[/tex] is below the graph of [tex]g(x)[/tex].

The coordinates of the vertices of the image of the square are S'(x, y) = (- 1, - 4), T'(x, y) = (- 1, 1), U'(x, y) = (4, 1) and V'(x, y) = (4, - 4).

In this problem we need to make use of a translation on a geometric locus on a Cartesian plane, which is generated by four points representing the vertices of the square. The translation is a kind of rigid transformation, whose formula is shown below:

P'(x, y) = P(x, y) + t(x, y)

Where:

If we know that S(x, y) = (- 6, - 5), T(x, y) = (- 6, 0), U(x, y) = (- 1, 0) and V(x, y) = (- 1, - 5) and t(x, y) = (5, 1), then the locations of the vertices of the triangle are:

S'(x, y) = (- 6, - 5) + (5, 1)

S'(x, y) = (- 1, - 4)

T'(x, y) = (- 6, 0) + (5, 1)

T'(x, y) = (- 1, 1)

U'(x, y) = (- 1, 0) + (5, 1)

U'(x, y) = (4, 1)

V'(x, y) = (- 1, - 5) + (5, 1)

V'(x, y) = (4, - 4)

The location of the image of the square is shown below.

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The value of x is 40 and the value of y is 25.

What is consecutive interior angles?

Pairs of angles that are between two lines and on the same side of the line that cuts through the two lines are referred to as consecutive internal angles. According to the theorem, if two lines are parallel, then successive interior angles are supplementary to one another.

Angles that add up to 180 degrees are referred to as supplementary angles.

As we know that the sum of three angles of triangle is 180 degrees.

So from the first figure we get,

2x + x + y + y + 10 = 180

3x + 2y = 170          ...(1)

From the second figure we get,

4x - y + x + 5 = 180         (Since they are consecutive interior angles)

5x - y = 175             ...(2)

After solving equation (1) and (2), we get

x = 40 and y = 25

There the value of x is 40 and the value of y is 25.

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We have the next inequality

where x is the number of miles.

Then we solve the inequality

The car should be driven 300 miles a week

Answer: 36 rides

Step-by-step explanation: Because is you divide 65 by 1.85 you get 35.13513513513514 so just round it to the next integer of 36.

Using ratio and proportion, Louie is correct.

Ratio is defined as the relationship between two quantities. On the other hand, proportion is defined as the equality between two or more ratios.

From the given graph (see attached photo), the coordinates of Point F and Point G is (4, 8) and (-6, -7).

If the ratio of FP to PG is 4 to 1, then the ratio of the horizontal distance and vertical distance between the two endpoints is also 4 to 1.

FP : PG = 4 : 1

FP/PG = 4/1 = 4

x-coordinate of P

(4 - x)/(x - -6) = 4

(4 - x) = 4(x + 6)

4 - x = 4x + 24

-5x = 20

x = -4

y-coordinate of P

(8 - y)/(y - -7) = 4

(8 - y) = 4(y + 7)

8 - y = 4y + 28

-5y = 20

y = -4

Hence, the coordinates of Point P is (-4, -4).

Therefore, Louie is correct, while Nicky is mistaken probably while setting up the proportion and solving for the coordinates.

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         The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

        A formula for the question at hand is 2x minus 20 divided by 3 Equals 2x, or (2x - 20) /3 = 2x.

The difference in degrees over the last 24 hours is represented by x in this equation, which predicts temperature change.

We must find x in the given equation.

(2x - 20) /3 = 2x \s (2x - 20) = 3(2x) (2x) ...........(Multiply by 3 on both sides)

2x - 20 + 20 = 6x + 20 ...........(Add 20 to both sides)

2x - 6x = 6x + 20 - 6x ..........(Subtract 6x from both sides) (

-4x = 20 \s x = -5 ..........(Divide by - 4 on both sides)

As a result, x = -5 for the given equation (2x - 20) /3 = 2x.

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Answer:

r=√6a/5m-1

Step-by-step explanation:

m=√6a+r/5r

cross multiply

5mr=√6a+r

5mr-r=√6a

factorise

r(5m-1)=√6a

divide both sides by the coefficient of r

r=√6a/5m-1

hope it helps

please mark brainliest

Answer:

hope it helps u

MATHEMATICS IS OUR OWN LANGUAGE,LETS TALK TOGETHER

Answer:

7.5/9 = 0.83333

0.83333 = 5/6

7 1/2 / 9 = 5/6

Answer:

y=3x+14

Step-by-step explanation:

First find the point using slope point form.

y-y₁=m(x-x₁)

Put y value in for y₁, x value in for x₁ and slope in for m.

y-2=3(x+4)

Simplify

y-2=3x+12

Solve for y to get slope intercept form Y=mx+b

y=3x+14

Answer:

Angle YVX = 59°

Angle Y = 85°

x = 3

Step-by-step explanation:

You got the first two correct.

The last bit, use the fact that the shape is a parallelogram, the opposite sides are equal.

2x = 6

x = 3

1. When we convert each measurement to pounds, we have

2. When we arrange from least to greatest, we have

Lion, brown bear, giraffe, rhinoceros

Coversion scale

1 kg = 2.20462

With the above scale, we can convert each measurement to pound as follow:

I. Brown bear

1 kg = 2.20462

Therefore,

272.16 Kg = 272.16 × 2.20462

272.16 Kg = 600 pounds

II. Giraffe

1 kg = 2.20462

Therefore,

1124.0 Kg = 1124.0 × 2.20462

1124.0 Kg = 2478 pounds

III. Lion

1 kg = 2.20462

Therefore,

226.8 Kg = 226.8 × 2.20462

226.8 Kg = 500 pounds

IV. Rhinoceros

1 kg = 2.20462

Therefore,

1587.6 Kg = 1587.6 × 2.20462

1587.6 Kg = 3500.1 pounds

2. How to arrange for least to greatest

Thus, arranging from least to greatest, we have

Lion, brown bear, giraffe, rhinoceros

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The expression for the sequence of operations is 2(t x 5).

Expression:

Expression consists of minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given,

Here we have the phrase "multiply t by 5, then double the result"

Now we have to written the algebraic expression for it.

For the given phrase, we have to divide it into two part,

The first part is "multiply t by 5",

So, it can be written as

=> 5 x t

Now, we have to move on to the next part that is,

"double the result".

For that, we have to multiply the first part by 2,

It can be written as,

=> 2 x ( 5 x t)

Therefore, the resulting expression is 2(5t).

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The value of (f- g)(x) is  2x - 26.

This is a question of subtraction of functions.

Subtraction of functions

The subtraction of function involves the creation of a new function through the addition of two other functions.

Subtraction of one real-valued function from another.

Let h: X → and p: X → be any two real functions, where X ⊆ Real numbers. Then, we can define h - p: X → by h - p x = h(x) – p(x), for all x ∈ X.

Given that:-

f(x) = 2x + 1

g(x) = 27

We have to find the value of (f- g)(x)

We know that,

(f- g)(x) = f(x) - g(x)

Hence, we can write,

(f- g)(x) = 2x + 1 - 27 = 2x - 26

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By the concept of measurement of length we get the remaining length of the pipe 65 cm.

The total length of pipe before it was used by the plumber was 2.5 metre = (2.5 x 100)cm = 250cm.

Since,the plumber needs to cut lengths of 60cm, 35cm and 90cm

Thus,total Length of the pipe cut  by the plumber = 60cm + 35cm + 90cm = 185cm

After subtracting the length of pipe used by the plumber from the original length of the pipe, we get,

The remaining length of the pipe = 250 - 185 = 65cm

Hence, the remaining length of the pipe is 65 cm.

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This company’s revenue function is given by −0.25x³ - 4x² + 1000x + 16,000.

Mathematically, the amount of revenue that's being generated by a company or business organization can be calculated by using the following function (expression):

Revenue = price × demand

R(x) = p(x) × d(x)

The demand (d) for this company’s product at cost (x) is given by this demand function:

d(x) = −0.25x² + 1,000

Also, the price (p) in dollars that this company can charge for its product is given by this price function:

p(x) = x + 16

Substituting the parameters into the revenue function, we have;

Revenue function, R(x) = p(x) × d(x)

Revenue function, R(x) = (−0.25x² + 1,000) × (x + 16)

Revenue function, R(x) = −0.25x³ - 4x² + 1000x + 16,000.

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Complete Question:

Suppose demand, d, for a company's product at cost, x, is predicted by the function, d(x) = −0.25x² + 1,000, and the price, p, that the company can charge for the product is given by p(x) = x + 16. Find the company's revenue function.

Using the angle of elevation, the height of the tree is 71.57 feet.

The angles of elevation to a nearby tree from a point on the ground is measured to be 54 degrees.

The distance from the tree to the point on the ground is 52 feet.

The height of the tree can be found as follows:

The situation can be modelled to a right triangle.

Therefore, the height of the tree is the opposite side of the right triangle formed.

Hence,

tan ∅ = opposite / adjacent

where

∅ = angle of elevation

tan 54 = h / 52

cross multiply

h = 52 tan 54

h = 52 × 1.37638192047

h = 71.5718598645

Therefore,

height of the tree = 71.57 feet.

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Three people: Alan, Betty, Carol

Alan has 9 shares.

Betty has 10 shares.

Carol has 11 shares.

Therefore, there are a total of 9 + 10 + 11 = 30 shares.

Since the profit is $67,500, let's divide this one by the total number of shares.

The profit per share is $2,250.

Since Alan has 9 shares, let's multiply $2,250 to 9.

Therefore, Alan's share must be $20,250.

Let's do the same with Betty and Carol.

To summarize, Alan will receive $20,250, Betty will receive $22,500, and Carol will receive $24,750 from the proft

The vertex of a parabola is the extreme point (maximum or minimum, depending on the the sign of the quadratic coefficient).

In the graph, we can see that the x-coordinate of the vertex is x=-1 and the y-coordinate is y=3.

Then, we can write the coordinates of the vertex as (h,k) = (-1,3)

Answer: The coordinates of the vertex are (-1,3)

Let's begin by listing out the information given to us:

216^(-2n) = (1/6)^(3n+2)

6 is a factor of 216: 216 = 6³

1/6 = 6^(-1)

⇒ 6^(-2*3n) = 6^[(-1*(3n+2)]

⇒ 6^(-6n) = 6^(-3n-2)

Since both sides are in the same base, we equate the exponents. We have:

-6n = -3n - 2

Add "6n" from both sides, we have:

-6n + 6n = -3n + 6n - 2 ⇒ 0 = 3n - 2

⇒ 3n = 2

Answer: She already got rid of two red pens, so there's one red pen left.

5-1=4-1=3. 1 red 1 blue 1 green. 100/3=33.3333333… so her chance of getting another red pen is 33.3333333333333333333333% and a 66.66666666666666666666% chance of not.

Step-by-step explanation

Answer:

-2

Step-by-step explanation:

Substitute x with 2 and y with 2

2 = 2 * 2 + a

2 = 4 + a

subtract 4 on both sides

2  = 4 + a

-4    -4

-2 = a

The residuals in a regression equation measure the impact of firm-specific events.

Residuals = Actual y value  - Predicted y value

Residual analysis is a helpful set of methods for assessing the quality of a fitted model. Checking the underlying assumptions is crucial because most linear regression estimators depend on independent errors with the same distribution and a correctly stated regression function in order to be consistent. Regression is a statistical technique used in finance, investing, and other fields that aim to ascertain the strength and nature of the relationship between a single dependent variable (often represented by Y) and a number of other factors (known as independent variables).

The residuals in a regression equation measure the impact of firm-specific events.

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The equations that have No solution are2t + 1 = 1 + 2t ,  2t + 1 = 2t and  2(t+1) = 2t + 1 , the correct options are (a) , (b) and (c) .

In the question ,

equations are given ,

we have to find which equation have NO Solution .

So,

(a) First equation is given as

2t + 1 = 1 + 2t

On rewriting the terms , we get

2t - 2t = 1 - 1

0 = 1-1 ,

we cannot find the solution of x .

hence this equation has No solution .

(b) equation is

2t + 1 = 2t

On rewriting the terms , we get

2t -2t = -1

0 = -1

hence ,this equation have No Solution .

(c) equation is 2(t+1) = 2t + 1

2t + 2 = 2t + 1

2t - 2t = 1 - 2

0 = -1

hence , this equation have No Solution .

(d) equation is 2t+t=2t+1

3t = 2t + 1

3t - 2t = 1

t = 1

hence , this equation have Unique Solution .

(e) equation is 2t = 1

So, t = 1/2

hence , this equation have Unique Solution .

Therefore , The equations that have No solution are 2t + 1 = 2t and  2(t+1) = 2t + 1 , the correct options are (a) , (b) and (c) .

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Answer:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

solution

Step-by-step explanation:

Answer:

1)2/5

2)2/3

Hope this helps!

Answer:

1. m=2/5

2. m-2/3

Step-by-step explanation: