The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. x 1 2 4 8 16 p(x) 0.05 0.15 0.25 0.30 0.25 (a) Compute E(X) (in GB). (Enter your answer to two decimal places.) GB (b) Compute V(X) (in GB2) directly from the definition. (Enter your answer to four decimal places.) GB2 (c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.) GB (d) Compute V(X) (in GB2) using the shortcut formula. (Enter your answer to four decimal places.) GB2

Answer:

Jessica: 10 orders

Lamar: 18 orders

Kareem: 36 orders

Step-by-step explanation:

Let's first designate each person with a letter.

The number of orders served by Jessica can be designated as [tex]J[/tex]

The number of orders served by Kareem can be designated as [tex]K[/tex]

The number of orders served by Lamar can be designated as [tex]L[/tex]

We know that they all served a total of 64 orders. This can be expressed as the sum of their orders equaling 64.

[tex]J+K+L=64[/tex]

We also know that Jessica served 8 fewer orders than Lamar. This can be expressed as the number of orders served by Jessica, [tex]J[/tex], being equal to Lamar's orders [tex]L[/tex] minus 8.

[tex]J = L-8[/tex]

Fianlly, we know that Kareem served twice as many orders as Lamar. This can be expressed as the number of order's served by Kareem, [tex]K[/tex], being 2 times Lamar's orders [tex]L[/tex].

[tex]K = 2L[/tex]

With these 2 equalities, we can substitute [tex]J[/tex] and [tex]K[/tex] in our original equation,

[tex]J+K+L=64[/tex]

with their values expressed as a subtraction or multiplication of [tex]L[/tex].

[tex]J[/tex] will be substituted with [tex]L-8[/tex], and [tex]K[/tex] will be substituted with [tex]2L[/tex].

[tex]J+K+L=64[/tex]

With substitutions:

[tex](L-8) + 2L + L = 64[/tex]

We can simplify this by combining the L-terms:

[tex]L + 2L + L -8 = 64\\4L - 8 = 64[/tex]

Next, we'll add 8 to both sides.

[tex]4L = 72[/tex]

Divide both sides by 4:

[tex]L = 18[/tex]

Thus, Lamar served 18 orders.

Using our expressions, we can find how many orders the others served.

Jessica:

[tex]J = L-8\\J = 18 -8\\J = 10[/tex]

Jessica served 10 orders.

Kareem:

[tex]K = 2L\\K = 2*18\\K = 36[/tex]

Kareem served 36 orders.

Answer:

P(19)=$19,852

To the nearest dollar.

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

[tex]P(t)=P_o(1+r)^t[/tex]

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We are given the condition that an investment of Po=$6,000 in an account doubles every 11 years. The final value of the investment in t=11 is P(11)=$12,000.

Substituting into the general equation:

[tex]12,000=6,000(1+r)^{11}[/tex]

Dividing by 6,000 and swapping sides:

[tex](1+r)^{11}=2[/tex]

Taking the 11th root:

[tex]1+r=\sqrt[11]{2}[/tex]

[tex]1+r=1.065[/tex]

Substituting into the formula:

[tex]P(t)=6,000(1.065)^t[/tex]

Now we need to find the money in the account after t=19 years:

[tex]P(19)=$6,000(1.065)^{19}[/tex]

P(19)=$19,852

To the nearest dollar.

Answer:

-1

Step-by-step explanation:

Step 1: Write inequality

2(3x - 1) ≥ 4x - 6

Step 2: Solve for x

Step 3: Find

-10 ≥ -2? No

-5 ≥ -2? No

-3 ≥ -2? No

-1 ≥ -2? Yes

Answer:

m=-3

Step-by-step explanation:

Answer:

m = -3

Step-by-step explanation:

Simplify  -5m - 2m  to  -7m

-7m = 21

Divide both sides by -7

m = 21/-7

Simplify 21/-7 to -3

m = -3

Hope this helps!

-Jerc

Use the polynomial remainder theorem. It says that a polynomial [tex]f(x)[/tex] has remainder [tex]f(c)[/tex] upon division by [tex]x-c[/tex].

Here we have

[tex]f(x)=x^4+3x^3-8x^2+5x-9[/tex]

and [tex]c=-5[/tex], so the remainder is

[tex]f(-5)=(-5)^4+3(-5)^3-8(-5)^2+5(-5)-9=\boxed{16}[/tex]

Answer:

Question 1: 131.25 Question 2: 83.33 Question 3. 133.33

Step-by-step explanation:

1. 131.25% x 150

2. Trial and error

3. 60 ÷ 45%

y = 2.5x

I hope this helps

The required equation is y=2.5x.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Earning of app developer for 8 apps = $20.00

Earning of app developer for 1 app = $2.5

Earning of app developer for x app = $2.5x

Assume, earning of app developer for x app is y

So the equation,

Earning of app developer y=2.5x

The required equation is y=2.5x.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ3

Answer:

Step-by-step explanation:

Solving for x

The solutions to the polynomial equation [tex]x^3 - 7x^2 - x + 7 = 0[/tex]are[tex]x = 1, x = 7,[/tex] and [tex]x = -1.[/tex]

The given polynomial is [tex]x^3 - 7x^2 - x + 7 = 0[/tex]

We can observe that the polynomial has a common factor of (x - 1).

By dividing the polynomial by (x - 1), we can simplify the equation:

[tex](x - 1)(x^2 - 6x - 7) = 0[/tex]

Now we have factored the polynomial equation as a product of two factors, [tex](x - 1)[/tex] and [tex](x^2 - 6x - 7).[/tex]

To find the solutions, we set each factor equal to zero and solve for x.

Setting [tex](x - 1) = 0[/tex], we get [tex]x = 1.[/tex]

Now, let's solve the quadratic factor [tex](x^2 - 6x - 7) = 0[/tex]

Using factoring or the quadratic formula, we find the roots of the quadratic equation:

[tex]x^2 - 6x - 7 = 0[/tex]

[tex](x - 7)(x + 1) = 0[/tex]

Setting each factor equal to zero:

[tex]x=7[/tex] and [tex]x=-1[/tex]

Therefore, the solutions to the polynomial equation [tex]x^3 - 7x^2 - x + 7 = 0[/tex]are[tex]x = 1, x = 7,[/tex] and [tex]x = -1.[/tex]

To learn more on Polynomials click:

https://brainly.com/question/11536910

#SPJ6

Answer:

Someone please help me because i have this question on my test someone please help us

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Side lenght of square = (x + 3)

Side length of equilateral triangle = (3x - 1)

It is Given that:

Perimeter of square = Perimeter of equilateral triangle

4 times side length of square = 3 times side length of equilateral triangle.

[tex] \therefore \: 4(x + 3) = 3(3x - 1) \\ \\ \therefore \: 4x + 12 = 9x - 3 \\ \\ \therefore \:12 + 3 = 9x - 4x \\ \\ \therefore \:15 = 5x \\ \\ \therefore \:x = \frac{15}{5} \\ \\ \huge \red{ \boxed{\therefore \:x = 3}}[/tex]

Answer:

The rectangle is 18 square inches

Step-by-step explanation:

A rectangle has Length that is twice its Width.

The Width = 3.

What is the area of the rectangle?

First, we know that L, the length, is 6 (twice as long as its width).

Remember that the area of a rectangle is Length times Width:

A  =  L W

and so

A  =  6  ×  3  =  18

The rectangle is 18 square inches

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

you can split it into two parts. One with 4 x 3 = 12 and the other with 2 x 6 = 12. then add them together and you get 24.

Answer:

slope: 0

y intercept: (0, 7)

Step-by-step explanation:

Answer:

straight line and it needs to go through the origin

Answer:

Step-by-step explanation:

Perimeter of a rectangular wall P = 2L+2W

L is the length of the wall

W is the width

Given

P = 148feet

If the width is two more than seven times the length, this is represented as

W = 7L+2

Substitute W = 7L+2 into the formula above

P = 2L + 2(7L+2)

P = 2L +14L+4

P == 16L+4

148 = 16L+4

16L = 148-4

16L = 144

L = 144/16

L = 9

To get the width

W = 7L+2

W = 7(9)+2

W = 63+2

W = 65feet

Hence the width of the rectangular wall is 65feet

Answer:

3x - 5 = 10

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

[tex]2(4x + 1) = 4(2x + 5)[/tex]

[tex]8x + 2 =8x + 20[/tex]

[tex]\nexists x \in \mathbb{R} \text{ That makes the equality true}[/tex]

The equation has no solution because no matter what the value we plug for [tex]x[/tex] in the equation, it will not be true and will lead to a contradiction. This is the meaning of not having a solution.

Answer:

It would have started to be filled at 10 cm

Step-by-step explanation:

FInd teh difference between 8 and 2 which is 6

Find the difference between 34 and 16 which is 18

Divide 18 by 6 which is 3

Subtract 2(3) = 6 by 16 which is 10

Using the linear system to solve the problem. Then the water level at 0 minutes is 10 cm.

It is a system of an equation in which the highest power of the variable is always 1. It is a combination of infinite points side by side.

Given

Henry is filling up his fish tank with water at a constant rate.

At 2 minutes the water level is 16 cm.

At 8 minutes the water level is at 34 cm.

We know that the linear equation

[tex]\rm y = mx +c[/tex]

Where

m be the rate of filling water in the tank.

c be the initial water in the tank.

y be the water level of the tank in cm.

x be the time in minutes.

At 2 minutes the water level is 16 cm. Then

[tex]\rm 16 = 2m + c[/tex]  ...1

At 8 minutes the water level is at 34 cm. then

[tex]\rm 34 = 8m +c[/tex]   ...2

From equations 1 and 2, we have

m = 3, and c = 10

Then the equation will be

[tex]\rm y = 3x + 10[/tex]

For x = 0, then y = 10

Thus, the water level at 0 minutes is 10 cm.

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

the answer to this problemis 1 1/3

Answer:

the answer is d, anything lower than 3 would make the solution incorrect

Answer:

In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.

Answer:

$393.20

Step-by-step explanation:

There are two easy ways to solve this:

1) Use a setup and cross multiply.

First, set up your problem.

$ x    =  40%

$983    100%

$983 is the total amount, so it is equal to 100%. We're trying to find 40% of it, so we can label the amount as $x. Remember, each side has to be in the same type of measurements (i.e. dollars, percentages, inches, etc.).

Then, cross multiply. You should end up with:

100x = 39,320

Then, simplify.

x = 393.2

x = $393.20

2) Convert the percentage to a decimal and multiply.

First, convert the percentage you're looking for into a decimal:

40% × 100 = 0.4

Then, multiply the decimal with the total sales amount:

$983 × 0.4 = 393.2

                   = $393.20

40% × 100 = 0.4

$983 × 0.4 = $393.20

Bill earns $393.20 commission total.

By 2 = 2290

By 3 = about 1526.6667 or you can just write 4580/3

By 5 = 916

By 9 = about 508.8889

By 10 = 458

Answer:

a. I, III, II

Step-by-step explanation:

To answer this question, lets take a look at I, II, and III.

First, lets take a look at I. It states that the m∠SQT = 180 by the definition of a straight angle. We can get that the m∠SQT = 180 just by looking at the image and by knowing our second given. So I just has to be below the second given.

Now, lets take a look at II. It states that m∠SQV + m∠VQT = 180 by the Substitution Property of Equality. We can find that m∠SQV + m∠VQT = 180 just by looking at the image along. But knowing that it is found by the Substitution Property of Equality, we can find that m∠SQV + m∠VQT = 180 was derived from the fact that m∠SQT = 180 and that m∠SQV + m∠VQT = m∠SQT, or I and III. So II was derived from I and III, and II should come after I and III.

Now lets look at III. It states that m∠SQV + m∠VQT = m∠SQT by the Angle Addition Postulate. Since III is found by the Angle Addition Postulate, we can find that III was derived from I, and III should come after I.

So knowing that II should come after III and I, and that III should come after I, we can find that the order should be I, III, II.

I hope you find my answer and explanation to be helpful. Happy studying.

Number of oranges is (2a + 2)

Half the number of oranges is 1/2(2a + 2)

Half the number of apples is 1/2a

The difference between half the number of oranges and half the number of apples equals 4 looks like this:

1/2(2a + 2) - 1/2a = 4

Now solve.

1/2(2a + 2) - 1/2a = 4 (multiply 1/2 by what's inside the parenthesis)

1a + 1 - 1/2a = 4

1a + 1 -1 - 1/2a = 4 - 1

1a - 1/2a = 3

1/2a = 3

1/2a ÷ 1/2 = 3 ÷ 1/2

a = 6

He has 6 apples.

Substitute 6 into the equation for the number of oranges.

2a + 2

2(6) + 2 = 14

He has 14 oranges.

Check your work.

The difference between half the number of oranges (7) and half the number of apples (3) does indeed equal 4.

Therefore, the equation has one solution.

Answer:

Step-by-step explanation:

Answer:

11 hours

Step-by-step explanation:

I hope this help!

Answer:

the answer is "d" because the x region is negative 2 and the y region is a positive1