Evaluate the expression if a=2,b=-3,C=-1, and D=4


-2(b^2-5c)

The most suitable measurements for a box with a square base are 5cm (width) x 5cm (length) x 640cm (height). This box would be worth $4875

To find the minimum value of a box that must have a square base and 16000 cm³, we must try different measurements to find the variable that represents the least value.

In this case, the variable that represents less value is a base of 5cm x 5cm and a height of 640cm. This means that the box would be worth $4875 as shown below.

Base

Sides

Additionally, we can check that the volume of the box is the required 16000cm³, as shown below:

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The possible values of X for this game are 0, 1, 2, 3, 4.......n, where n ≥ 1

From the complete question, we understand that Mr. A wants to plays the game until he wins

This means that

He might win at the first game and he might win after n attempts

So, the values of X are

X = 0, 1, 2, 3, 4.......n

Hence, the possible values of X for this game are 0, 1, 2, 3, 4.......n, where n ≥ 1

The probability of x is represented as:

P(x) = nCx * p^x * (1 - p)^(n-x)

So, the probability that X = n is:

P(n) = nCn * p^n * (1 - p)^(n - n)

Evaluate the exponent

P(n) = nCn * p^n * 1

Evaluate the combination expression

P(n) = 1 * p^n * 1

This gives

P(n) = p^n

Hence, the probability that X = n is p^n

The distribution satisfies PMF conditions because

The expected value E(x) is calculated using

E(x) = n * p

So, we have:

E(x) = np

Hence, the value of E(x) is np

The variance V(x) is calculated using

V(x) = √n * p * (1 - p)

So, we have:

V(x) = √np(1 - p)

Hence, the value of V(x) is √np(1 - p)

The memoryless property of X is that each probability of X is independent

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Answer:

x+(x+5)=28

Step-by-step explanation:

girls(g)should be equal to x

boys(b) will therefore be x+5

x+(x+5)=28

**Disclaimer** Hi there! I assumed the question is to represent W in terms of all other variables (P, L). The following answer corresponds to this understanding. If it is incorrect, please let me know and I will modify my answer.

Answer: W = (P/2) - L

Step-by-step explanation:

Given equation

P = 2L + 2W

Factorize 2 out

P = 2 (L + W)

Divide 2 on both sides

P / 2 = 2 (L + W) / 2

P / 2 = L + W

Subtract L on both sides

(P / 2) - L = L + W - L

[tex]\Large\boxed{W=\frac{P}{2} -L}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex]\displaystyle{W = \dfrac{P}{2} - L}[/tex]

Step-by-step explanation:

To solve for W, we have to isolate the W-variable. First, we can factor the expression 2L + 2W to 2(L+W):

[tex]\displaystyle{P = 2(L+W)}[/tex]

Next, we'll be dividing both sides by 2:

[tex]\displaystyle{\dfrac{P}{2} = \dfrac{2(L+W)}{2}}\\\\\displaystyle{\dfrac{P}{2} = L+W}[/tex]

Then subtract both sides by L:

[tex]\displaystyle{\dfrac{P}{2} - L= L+W-L}\\\\\displaystyle{\dfrac{P}{2} - L= W}[/tex]

Therefore, we'll obtain W = P/2 - L.

Note that the given formula is perimeter formula of a rectangle where Perimeter = 2 * Length + 2 * Width.

So if we solve for W (Width) then we'll get Width = Perimeter / 2 - Length which can be useful to find width with given perimeter and length.

The conclusion that can be made based on the hypothesis is:

1. It's a valid conclusion.

2. It is a valid conclusion.

3. It is a valid conclusion.

According to the law of detachment, when the conditional and the hypothesis are true, the conclusion will be true.

Therefore, if 6x < 42, the value of x will also be less than 6. This is valid.

When an angle is more than 90°, it's an obtuse angle and since A is 103°, it's valid.

Also, the statement about the violin being a string instrument is logically valid.

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The direct variation function is y = 0.3x

The direct variation from y to x is represented as:

y = kx

When y = 1.5 and x = 5, we have

1.5 = 5k

Divide by 5

k = 0.3

Substitute k = 0.3 in y = kx

y = 0.3x

Hence, the direct variation function is y = 0.3x

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Answer:20.00

Step-by-step explanation: next time include the table but i managed to find it anyway

Hi :)

I'd start by adding 5 to both sides of the equation. That would make the equation easier.

[tex]\boldsymbol{\sqrt{2x}-5=3}}[/tex]

[tex]\boldsymbol{\sqrt{2x}=2}[/tex]

The next step is to get rid of the radical sign.

Which operation will undo the square root? Squaring.

So that's why we square both sides:

[tex]\boldsymbol{2x=4}[/tex]

And Now we just divide both sides by 2

[tex]\boldsymbol{x=2}[/tex]

~[tex]\textit{\textbf{Learn More; Work Harder}}[/tex]~

:)

The two quadrilateral with the listed properties are kite and rhombus respectively.

Thus, the two quadrilateral with the listed properties are kite and rhombus respectively.

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Answer:

your welcome

Step-by-step explanation:

Check the picture below.

The price elasticity of demand of the pen will be -0.2.

The demand and supply schedule will be:

Price Qd. Qs

$10. 250. 100

$20. 200. 90

$30. 180. 80

The price elasticity of demand from $1 to $2 will be:

= Percentage change in quantity demanded/percentage change in price

Percentage change in quantity demanded will be:

= (200 - 250)/250 × 100

= -20%

Percentage change in price will be:

= (20 - 10)/10 × 100

= 100%

Therefore, the elasticity of demand will be:

= -20/100

= - 0.2

The value gotten illustrates an inelastic demand.

In order to increase the total revenue, the price can be reduced as it will lead to more sales.

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Complete question:

Choose any product or service. Create the demand and supply schedule.

Calculate just one PED.

Is the demand elastic or inelastic?

What price change would you recommend to increase TR?

The odds in favor of them winning is 20%

From the information given, we have that the probability of them winning the next game is 80%

P( winning) = 80% = 0. 8

The odds against them winning is given as;

1 - probability of winning

We have;

= 1 - 0. 8

= 0. 2

The odds in favor of them winning is simply the probability of them losing;

= 0. 2 × 100

= 20%

Thus, the odds in favor of them winning is 20%

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The value of the base b in the isosceles triangle is 3.1 inches.

According to the statement

we have given that the

equation is 2a + b = 15.7 and if one longer sides is 6.3 centimeter.

And we have to find the length of the base. Then

2a + b = 15.7

Here a is 6.3 cm then

Substitute the values in it then

2a + b = 15.7

2(6.3) + b = 15.7

After solving the equation

12.6 + b = 15.7

b = 15.7 - 12.6

Now we get the value of base b which is 3.1.

So, b = 3.1

So, The value of the base b in the isosceles triangle is 3.1 inches.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 can be used to find the side lengths.

If one of the longer sides is 6.3 centimeters, what is the length of the base?

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Using the z-distribution, it is found that since the p-value is less than 0.02, we reject the null hypothesis.

At the null hypothesis, it is tested if the proportion is of at most 59%, that is:

[tex]H_0: p \leq 0.59[/tex]

At the alternative hypothesis, it is tested if the proportion is greater than 59%, hence:

[tex]H_1: p > 0.59[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are:

[tex]p = 0.59, n = 900, \overline{p} = 0.63[/tex]

Hence the value of the test statistic is found as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.63 - 0.59}{\sqrt{\frac{0.59(0.41)}{900}}}[/tex]

z = 2.44.

Using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is higher than a value, with z = 2.44, the p-value is of 0.0073.

Since the p-value is less than 0.02, we reject the null hypothesis.

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The perimeter becomes double when each side is twice as long as the original.

According to the statement

we have given that the perimeter of a rectangle is 24 inches. and we have to find that the what effect does this enlargement have on the perimeter.

So, For this purpose, we know that the

A rectangle is a parallelogram all of whose angles are right angles especially : one with adjacent sides of unequal length.

The formula to find the perimeter of rectangle is 2(L + B)

And we the length is goes to increased by double then the perimeter will also goes to double.

Because perimeter is directly proportional to the length and breadth of rectangle.

So, The perimeter becomes double when each side is twice as long as the original.

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Answer:

We call the denominator rational.

Step-by-step explanation:

For example:

[tex]\frac{1}{\sqrt{2}} = \frac{\sqrt2}{\sqrt2 \cdot \sqrt2} = \frac{\sqrt2}{2}[/tex]

It's clear that the denominator is now a rational number, not an irrational one anymore.

D

Step-by-step explanation:

The correct answer is option D, which is 105, 90, 75, 60, 45.

[tex]y = 5x \\ switch \: y \: and \: x \\ x = 5y \\ solve \: for \:y \\ y = \frac{x}{5} [/tex]

The angles in degrees to radian is as follows:

-54 degrees = -3π / 10 radian

The measurement is in degrees. Let's convert it to radian with respect to π.

Therefore,

180 degrees = π radian

-54 degrees = ?

cross multiply

Hence,

angle in radian = -54 × π / 180

angle in radian = - 54π / 180

angle in radian = - 6π / 20

angle in radian = -3π / 10 radian

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The table in the list of tables that represent an actual function is the first table i.e.

x y

-3 10

4 4

-5 -3

4 4

The table of values is given as:

Table 1

x y

-3 10

4 4

-5 -3

4 4

Table 2

x y

2 8

6 9

6 3

5 7

Table 3

x y

1 2

1 4

1 6

1 8

Table 4

x y

5 2

-3 2

2 2

1 7

For a table to represent a function, each of the x value on the table must correspond to exactly one y value

i.e.

x1 = y1

x2 = y2

And so on

Using the above highlights, the table that represents a function is table 1

Hence, the table in the list of tables that represent an actual function is the first table i.e.

x y

-3 10

4 4

-5 -3

4 4

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Answer: [tex]\frac{10\pi}{3}[/tex] m

Step-by-step explanation:

[tex](2)(\pi)(4) \left(\frac{150}{360} \right)=\frac{10\pi}{3}[/tex]

Answer: 3 loops

Step-by-step explanation: The loop is 1.2 miles, and the total walk is 3.6 miles. You want to find out how many laps are in the 3.6 miles. This can be found using division. 3.6/1.2= the number of 1.2 mile laps inside the 3.6 mile walk, which is 3 laps. hope this helped!

Angle HEJ measures 15 degrees.

The best approach to calculating the stipulated 20% tip by means of fractions is to note that the tip is one-fifth of the total amount charged on the bill.

The percentage represented as; 20% can be expressed as a fraction.

This follows from the fact that the percentage, % symbol translates to divided by 100.

Consequently, we must note that the 20% translates to; 20/100 = 1/5.

Hence, the 20% tip is one-fifth of the total amount.

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Answer:

one of several possible solutions :

18, 75, 105

Step-by-step explanation:

prime factors of 3150 :

3150 ÷ 2 = 1575

1575 ÷ 2 no

1575 ÷ 3 = 525

525 ÷ 3 = 175

175 ÷ 3 no

175 ÷ 5 = 35

35 ÷ 5 = 7

7 ÷ 5 no

7 ÷ 7 = 1

3150 = 2¹ × 3² × 5² × 7¹

these are the product of the longest streaks of prime factors in x, y and z.

the GCF(y, z) = 15.

the prime factors of 15 are simply 3¹×5¹.

so, y and z share only the factors 3 and 5.

the GCF(x, y, z) = 3.

since x is an even number, the elimination of 5 in the GCF is not surprising.

let's try the following :

x = 2¹ × 3² = 2×9 = 18

y = 3¹ × 5² = 3×25 = 75

z = 3¹ × 5¹ × 7¹ = 3×5×7 = 105

that uses all the factors of 3150, and their LCM is as the product of the longest streaks of their prime factors is

2¹ × 3² × 5² × 7¹.

fits.

the GCF(75, 105) is the product of the prime factors they have in common : 3¹ × 5¹ = 15.

fits.

the GCF(18, 75, 105) is the product of the prime factors ask 3 numbers have in common, which is only 3¹ = 3.

fits.

18 < 75 < 105

fits.

18 is an even number greater than 10.

fits.

there are more than 1 solutions.

e.g.

z = 2¹ × 3¹ × 5¹ × 7¹ = 210

is also possible.

The size of the second application given the size of the first application and the expression ( x - 3.45 mb) for the size of the second application is 293.55 MB.

Let

For instance,

if the size of the first application is 297 MB

Size of the second application= x - 3.45 mb

= 297 MB - 3.45 MB

= 293.55 MB

Therefore, the size of the second application given the size of the first application and the expression for the size of the second application is 293.55 MB

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answer

is true statement w= 4