What is 4(2 + a) = 24
a=

Answer:

1750

Step-by-step explanation:

So first we have to find out how much tax he pays which is 30% of 2,500=750. now we know how much tax he pays, we can subtract it from his salary: 2500-750=1750

Answer:

a) 27 b) 5 c) 16 d) 7

Step-by-step explanation:

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Start by finding the fraction of storage used by the subtraction of the total storage and the unused storage

then to find the fraction divide over the total storage

Answer:

D

Step-by-step explanation:

This is false, undetermined coefficients is a method of "guessing" the particular solution of a inhomogeneous differential equation.

1)

2)

3)

4)

Answer:

you need to post a pic with it.

Step-by-step explanation:

115

The evaluation of the given Boolean expressions are:

a) A && !B =  false              b) B∥C = true

c) B==C = false                   d) A&&!C = true

e) (B∥C)&&(!A) =  false        f) (A!=B)∥(B!=C)  = true

Information available in the problem:

A = true

B = true

C = true

a) Since A and B are both true, !B (which means "not B") is false. Therefore, A && !B evaluates to false, because the logical AND operator returns true only if both of its operands are true.

Hence,

A && !B = true && false = false

b) Since B is true, the result of B∥C will be true, regardless of the value of C. This is because the logical OR operator returns true if at least one of its operands is true.

Hence,

B∥C = true ∥ false = true

c) Since B is true and C is false, B and C have different values, and therefore B==C will evaluate to false. This is because the equality operator returns true only if its operands have the same value.

Hence,

B==C = true == false = false

d) Since A is true and !C (which means "not C") is true, A&&!C evaluates to true. This is because the logical AND operator returns true only if both of its operands are true.

Hence,

A&&!C = true && !false = true && true = true

e) Since B is true, the result of B∥C will be true, regardless of the value of C. This is because the logical OR operator returns true if at least one of its operands is true. Therefore, B∥C evaluates to true.

Since A is true and !A (which means "not A") is false, !A evaluates to false.

Therefore, (B∥C)&&(!A) evaluates to false, because the logical AND operator returns true only if both of its operands are true.

Hence,

(B∥C)&&(!A) = true && false = false

f) Since A is true and B is true, A!=B (which means "A is not equal to B") is false, because A and B have the same value.

Since B is true and C is false, B!=C (which means "B is not equal to C") is true, because B and C have different values.

Therefore, (A!=B)∥(B!=C) evaluates to true, because the logical OR operator returns true if at least one of its operands is true.

Hence,

(A!=B)∥(B!=C) = false ∥ true = true

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The standard deviation is a statistical term that expresses how much variance or dispersion there is in a group of numbers.

A formula that displays the proportion of times a variable appears in each of its potential states.

We have a standard deviation for frequency distribution

\(s = \sqrt{\frac{n[\sum(f.x^{2} )] - [\sum(f.x)]^{2} }{n(n-1)} }\)

Where,

x  = midpoint,

f   = class frequency, and

n  = number of sample values overall.

Interval 30-39, x= 34.5, x²= 1190.25, fx²= 3570.75, fx= 103.5

Interval 40-59, x= 44.5, x²= 1980.25, fx²= 37624.75, fx= 845.5

Interval 50-69, x= 54.5, x²= 2970.25, fx²= 109899.25, fx= 2016.5

Interval 60-79, x= 64.5, x²= 4160.25, fx²= 62403.75, fx= 967.5

Interval 70-89, x= 74.5, x²= 5550.25, fx²= 33301.5, fx= 447

Interval 80-99, x= 84.5, x²= 7140.25, fx²= 7140.25, fx= 84.5

So, \(n=81\),  \(\sum fx^{2} = 253,940.25\) , \(\sum fx= 4,464.5\)

Now,

\(s = \sqrt{\frac{n[\sum(f.x^{2} )] - [\sum(f.x)]^{2} }{n(n-1)} }\)

= \(\sqrt{\frac{81[253940.25]-4464.5}{81(81-1)} }\)

=\(\sqrt{\frac{20569160.25-4464.5}{81 * 80} }\)

=\(\sqrt{\frac{20564695.75}{6480} }\)

=\(\sqrt{3173.56415895061}\)

\(= 56.3344\)

Therefore, standard deviation for frequency distribution is 56.3344years.

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Part A

Reason:

This is something you'll have to draw out on paper (or print it out), then fold up the diagram to represent the 3D prism.

Net A has the middle rectangle as the floor. The other rectangles form the vertical left side and the right slanted side. The triangles form the remaining walls.

Folding up net B will have the triangle ABC oriented in the wrong way, and things won't match up perfectly.

==============================================================

Part B

Reason:

When folded up, side AB goes from the floor to the highest point on the prism. This would be the 3 inches marked.

Side BC is the slanted part, and it is 5 inches in length. Note that AB = 3 and AC = 4, so BC = 5 helps make up a 3-4-5 right triangle (refer to the pythagorean theorem).

Lastly, CD = 8.6 is the length or depth of the prism.

==============================================================

Part C

Reason:

To find the surface area of the 3D prism, we will find the area of each region on the 2D net. This is because the surface area is the amount of wrapping paper needed to enclose the 3D figure.

Let's find the area of triangle ABC

area = base*height/2 = 4*3/2 = 6

Each triangle has an area of 6 square inches. That gives an area of 2*6 = 12 square inches so far for the triangles combined.

Now let's find the perimeter of either triangle:

AB+BC+AC = 3+4+5 = 12

Multiplying this perimeter with the depth of the prism will determine the lateral surface area

12*8.6 = 103.2

Add this lateral area onto the previously calculated triangle combined area (12 square units) and we get 12+103.2 = 115.2 square inches

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

Answer:

5xsquared+x+5

Step-by-step explanation:

first combine x squared with 4x squared and you will get 5xsquared.

next combine 6x and -5x and you will get 1x or just simply x. Finally combine 3 and 2 (3+2) = 5.

Answer:

12.8

12 1/2

12 2/5

12.09

Answer:

yesssssssssssssssssssss

Answer:

Step-by-step explanation:

4x^2 - 5x + 3 + 2x - 7

4x^2 - 3x - 4

Answer:

Step-by-step explanation:

In this question, we need to use the formula of means to solve the. We can set the number of beads Rajiv brings as X, and use the formula of mean to get the total number of beads that the Four(4) children have and the total number of beads that the Five(5) children have.

Four(4) children each have some beads, the mean number of beads is: 8

        4 * 8 = 32

We set the number of beads Rajiv brings as:

x, so the total number of beads that the Five(5) children have is:

32  +  x

The mean number of the Five(5) children is now: 9

      5  *  9   =  45

     32 +  x    =    45

      x  +  32  =    45

           -  32  =   -32

       x            =     13

By solving the above equation, you can get:

x  =  13

       13

Hope this helps!

Answer:

Slope: -3

Vertical Intercept (y-intercept): 15

Horizontal Intercept (x-intercept): 5

Step-by-step explanation:

\(\frac{3-9}{4-2}\) = \(\frac{-6}{2}\) = -3

then we put the slope into point slope form.

y-9=-3(x-2)

in order to find the x-intercept, we need to make the y value 0.

-9=-3(x-2) ⇒-9=-3x+6 then subtract 6 from both sides.

-15=-3x divide both sides by -3 to get 5, the x-intercept.

in order to find the y-intercept, we need to make the x value 0.

y-9=-3(-2) ⇒y-9=6 then add 9 to both sides.

y=15

Answer:

\(\cot(\theta)\)

Step-by-step explanation:

Trig identities:

\(\csc(\theta)=\dfrac{1}{\sin(\theta)}\)

\(sin^2(\theta)+cos^2(\theta)=1\)

\(\cos(2\theta)=cos^2(\theta)-sin^2(\theta)\)

\(\implies \cos(2\theta)=2cos^2(\theta)-1\)

\(\implies2cos^2(\theta)= \cos(2\theta)+1\)

\(\sin(2\theta)=2\sin(\theta)\cos(\theta)\)

Therefore,

\(\dfrac{\cos(2\theta)+\sin(\theta) \times \csc(\theta)}{\sin(2\theta)}\)

\(=\dfrac{\cos(2\theta)+\dfrac{\sin(\theta)}{\sin(\theta)}}{\sin(2\theta)}\)

\(=\dfrac{\cos(2\theta)+1}{\sin(2\theta)}\)

\(=\dfrac{2cos^2(\theta)}{\sin(2\theta)}\)

\(=\dfrac{2cos^2(\theta)}{2\sin(\theta)\cos(\theta)}\)

\(=\dfrac{cos(\theta)}{\sin(\theta)}\)

\(=\cot(\theta)\)

It makes more sense to use a relatively small significance level (such as α=0.01) in this situation. The reason is, the consequences of falsely accusing a well-known company of lying in their advertising could be significant, and filing a lawsuit is a serious action.

Therefore, it is important to have a high level of confidence in the evidence before taking such a step. A small significance level would ensure that the evidence gathered is statistically significant, reducing the likelihood of making a false accusation. On the other hand, a relatively large significance level (such as α=0.10) would increase the chances of a Type I error, which is the incorrect rejection of a true null hypothesis, potentially leading to false accusations and legal repercussions.

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This converts to the improper fraction 7/4

======================================================

Work Shown:

3/4 = 0.75

area of triangle on the left = base*height/2 = 0.75*2/2 = 0.75 sq ft

area of triangle on the right = base*height/2 = 1*2/2 = 1 sq ft

total area = 0.75+1 = 1.75 sq ft

This converts to the improper fraction 7/4 because

1.75 = 1 + 0.75

1.75 = 1 + 3/4

1.75 = 4/4 + 3/4

1.75 = (4+3)/4

1.75 = 7/4

The k value of the given problem is 8. The solution is obtained using the concept of algebra.

A branch of mathematics known as algebra deals with symbols and the fine operations performed on them. Variables are the name given to these symbols because they warrant set values.

Algebra aids in the result of fine problems and enables the derivate of unknown figures, similar as interest rates, rates, and probabilities. In order to remake the equations, we can express the associated unknown amounts using variables from algebra.

We are given equation: y=8x.

General form of an equation is y=kx where k is the constant of variation.

Also, y varies directly with both i.e. k and x.

So, from the above explanation, we find that k=8.

Hence, the k value of the given problem is 8.

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Answer:

The function f(x) = 275-55x represents the amount of money Bradley still owes.

Step-by-step explanation:

Given that:

Amount Bradley owes = $275

Amount Bradley pays each week = $55

Let,

x be the number of weeks.

We will subtract the amount paid every weeks from the total amount, where x is the number of weeks. The function will be given by;

f(x) = 275 - 55x

Hence,

The function f(x) = 275-55x represents the amount of money Bradley still owes.

Answer:

9

Step-by-step explanation:

The \(n\)term is \(2n+1\).

\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)

The number of terms that needed to make the sum to 99 is 9

The first term of the arithmetic progression = 3

The common difference = 2

The sum of n term is = (n/2) [2a+(n-1)d]

Where a is the initial term

d is the common difference

Substitute the values in the equation

(n/2) [2(3)+(n-1)2] = 99

(n/2) [6 + 2n - 2] = 99

(n/2)[4+2n] = 99

n(2 + n) = 99

2n + \(n^2\) = 99

\(n^2\) + 2n - 99 = 0

Split the terms

\(n^2\) - 9n +11n - 99 =0

n(n -9) + 11(n - 9) = 0

(n + 11)(n - 9) = 0

n = -11 or 9

Since n cannot be a negative number, therefore n = 9

Hence, the number of terms that needed to make the sum to 99 is 9

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The two equations which can be used to represent the situation are;

r + s = 1787

4r + 3s = 5,792

The correct answer choice is option B and E

Reserved seat for basketball game = r

Students seat for basketball game = s

Cost of reserved seat tickets = $4

Cost of students tickets = $3

Total number of people who attended the basketball game= 1,787 people

Total amount earned for tickets sales= $5,792

r + s = 1787

4r + 3s = 5,792

Therefore, the basketball game situation can be represented by the equation r + s = 1787; 4r + 3s = 5,792

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Answer:

56.779 or 56.782 56.778, etc, because it has to be 8 in the hundreths thousandths less than 5 or 7 in the hundreths thousandths greater than 5

Answer:

triangle PQR is similar to triangle TSR because the measure of angle 3 is congruent to the measure of angle 4 and the measure of angle one is congruent to the measure of angle 5

Step-by-step explanation:

angle 3 and angle 4 are congruent because they are vertical pairs.

Angles 1 and five are congruent because they are alternate interior angles

Answer: The equation has a solution .

Step-by-step explanation:

Since we have given that

\(\sqrt{x+1}=7-2\sqrt{x}\)

Squaring on both the sides, we get that,

\(x+1=(7-2\sqrt{x})^2\\\\x+1=49+4x-28\sqrt{x}\\\\3x+48-28\sqrt{x}=0\)

Let \(\sqrt{x}=y\implies x=y^2\)

So, our equation becomes,

\(3y^2-28y+48=0\\\\y=\dfrac{14}{3}\pm \dfrac{2\sqrt{13}}{3}\\\\\sqrt{x}=\dfrac{14}{3}\pm \dfrac{2\sqrt{13}}{3}\\\\x=(\dfrac{14}{3}\pm \dfrac{2\sqrt{13}}{3})^2\)

So, \(x=\dfrac{248}{9}\pm \dfrac{56\sqrt{13}}{9}\)

Hence, the equation has a solution .

Answer:

The 90% confidence interval for the proportion of all letters mailed in the United States that were delivered the day after they were mailed is (0.7426, 0.8374). The lower limit is 0.7426 while the upper limit is of 0.8374.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

Suppose that 158 out of a random sample of 200 letters mailed in the United States were delivered the day after they were mailed.

This means that \(n = 200, \pi = \frac{158}{200} = 0.79\)

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a p-value of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.79 - 1.645\sqrt{\frac{0.79*0.21}{200}} = 0.7426\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.79 + 1.645\sqrt{\frac{0.79*0.21}{200}} = 0.8374\)

The 90% confidence interval for the proportion of all letters mailed in the United States that were delivered the day after they were mailed is (0.7426, 0.8374). The lower limit is 0.7426 while the upper limit is of 0.8374.