What is the value of 6(2b-4) when b=5.​

Answer:

Hence, the list ten different possible outcomes are \((1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)\), the probability distribution of X are \(0.3,0.6,0.1\) and the cumulative distribution function is \(F(x)=\left\{\begin{array}{lc}0 & x<0 \\0.3 & 0 \leq x<1 \\0.9 & 1 \leq x<2 \\1 & 2 \leq x\end{array}\right.\)

Step-by-step explanation:

(a)

List the ten different possible outcomes.

The number of ways that two boards are drawn from each lot of \(5\) lots are \({5 \choose 2}\)

    \({5 \choose 2}=\frac{5!}{2!(5-2)!}\)

\(\Rightarrow {5 \choose 2}=\frac{5\times 4\times 3!}{2!\times 3!}\)

\(\Rightarrow {5 \choose 2}=\frac{5\times 4}{2!}\)

\(\Rightarrow {5 \choose 2}=\frac{20}{2}\)

\(\Rightarrow {5 \choose 2}=10\)

So, the \(10\) combinations are as follows :

\((1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)\)

(b)

The aim is to find the probability distribution when two boards are chosen at random and board's one and two is the only defective boards.

Let X be the number of defective boards in the lot.

Therefore, select the combinations of the boards that are without 1 and 2 from 10 combinations.

Compute the \(P(X=0)\)

 \(P(X=0)=P\{(3,4),(3,5),(4,5)\}\)

                 \(=\frac{3}{10}\)

                 \(=0.3\)

The probability that defectives did not occur in the lot is 0.3

Compute the \(P(X=1)\)

Select the combinations of the boards that are with one defective either 1 and 2 from the 10 combinations.

\(P(X=1)=P\{(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)\}\)

                \(=\frac{6}{10}\)

                \(=0.6\)

The probability that one defectives occurred in the lot is 0.6.

Compute the \(P(X=2)\)

Select the combinations of the boards that are with two defective 1 and 2 from the 10 combinations.

\(P(X=2)=P\{(1,2)\}\)

                \(=\frac{1}{10}\)

                \(=0.1\)

The probability that two defectives occurred in the lot is 0.1.

(c)

The cumulative distribution function (cdf)\(F(X=x)\)  is defined as,

\(\begin{aligned}F(X&=x)=P(X \leq x) \\F(0) &=P(X \leq 0) \\&=P(X=0) \\&=0.3 \\F(1) &=P(X \leq 1) \\&=P(X=0)+P(X=1) \\&=0.3+0.6 \\&=0.9 \\F(2) &=P(X \leq 2) \\&=P(X=0)+P(X=1)+P(X=2) \\&=0.3+0.6+0.1 \\&=1.0\end{aligned}\)

Therefore, the cumulative distribution function (cdf) \(F(X=x)\) is,

\(F(x)=\left\{\begin{array}{lc}0 & x<0 \\0.3 & 0 \leq x<1 \\0.9 & 1 \leq x<2 \\1 & 2 \leq x\end{array}\right.\)

Answer:

5-4=12x+x

1=13x

1/13=×

As, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively. So,  if a commutes with d, then it must be block diagonal.

Let's suppose that d is a diagonal matrix with repeated diagonal entries grouped contiguously, i.e.,

d = \(\begin{pmatrix} D_1 & 0 & 0 & \cdots & 0 \ 0 & D_1 & 0 & \cdots & 0 \ 0 & 0 & D_2 & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & D_k \end{pmatrix}\),

where \(D_1, D_2, \dots, D_k\) are scalars and appear with frequencies \(m_1, m_2, \dots, m_k\), respectively, so that \(m_1 + m_2 + \dots + m_k = n\), the size of the matrix.

Suppose that \(a\) is a matrix that commutes with d, i.e., ad = da.

Then, for any \(i \in {1, 2, \dots, k}\), we have

\(ad_{ii} = da_{ii}\)

Here, \(d_{ii}\) denotes the \(i$th\) diagonal entry of d, i.e., \(d_{ii} = D_i\) for \(i = 1, 2, \dots, k\). Since d is diagonal, \(d_{ij} = 0\) for \(i \neq j\), and

hence

\(ad_{ij} = da_{ij} = 0\)

for all \(i \neq j\).

Therefore, a is also diagonal, with diagonal entries \(a_{ii}\), and we have

\(a = \begin{pmatrix} a_{11} & 0 & 0 & \cdots & 0 \ 0 & a_{11} & 0 & \cdots & 0 \ 0 & 0 & a_{22} & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & a_{kk} \end{pmatrix}\)

Thus, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively.

Therefore, if a commutes with d, then it must be block diagonal.

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Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D

In the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.

Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.

In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.

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To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.

The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.

The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.

$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:

$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow

A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow

A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$

Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).

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Answer:

There are 4 quarts in one gallon. 36 divided by 4 is 9 gallons.

Step-by-step explanation:

9 gallons.

Answer:

8

Step-by-step explanation:

It would be 5 to the 8th power since there are 8 fives being multiplied

Answer:

5 = 5^1

5x5 = 5^2

5x5x5 = 5^3

see a pattern here?

exponents are just a shorthand way of writing multiplication, just as multiplication is a short way of writing addition:

2*2 + 2+2

3*2 = 2+2+2

etc.

Step-by-step explanation:

Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

Answer:

B. (5,0)

Step-by-step explanation:

hope this helps

Answer:

B. (5,0)

Step-by-step explanation:

Place all the coordinates on the graph and then its pretty much self-explanatory after that. you just see which is closest to the subject. which, in this case, was the school.

Answer:

Answer :

( -4x3 + x^2y - xy2) = -4x^3 + x^2y - xy^2

( 3x3 - xy2 + 5x^2y) = 3x^3 - xy^2 + 5x^2y

( 7xy2 + 3y3) = 7xy^2 + 3y^3

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

By BPT

\( \frac{x + 1}{x} = \frac{6}{4} \\ \\ 4x + 4 = 6x \\ \\ 4 = 6x - 4x \\ \\ 4 = 2x \\ \\ x = \frac{4}{2} \\ \\ x = 2\)

Answer:1.325

Step-by-step explanation:

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)

Answer:

236 ft^3

Step-by-step explanation:

Base radius = 5 ft

Height = 3 ft

Volume =   πr^2h

              =  π × 5^2 × 3

              =  75π

               =  235.61944901923 feet^3

Nearest Cubic Foot = 236 ft^3

Nearest Cubic Foot:

Hence Answer is:

236 ft^3

Hope this helps!

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

a) Using the four basic mathematical operations, the number of balloons that each person hang up is 9.

b) An equation representing the situation is x = (125 - 80)/5.

The four basic mathematical operations include addition, subtraction, division, and multiplication.

The mathematical operations provide solutions to mathematical problems using operands.

An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.

The total number of balloons that Andre has = 125

The number of balloons remaining after hanging some for the school party = 80

The difference (number of balloons used) = 45 (125 - 80)

The number of friends who hang the balloons = 5

The number of balloons hung by each friend of Andre = 9 (45/5)

Thus, we can conclude that each of the 4 friend and Andre hung 9 balloons, with 80 remaining.

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Given:

a.) Circle's radius is 14 meters

b.) Use 22/7 for π.

For us to be able to determine the circumference of a circle, we will be using the following formula:

We get,

Therefore, the circumference of the circle is 88 meters.

Answer:88

Step-by-step explanation:

Answer:

D. 12 hours

Step-by-step explanation:

You divide the total he made by how much he charges per hour to find out how many hours he worked.

540 divided by 45 equals 12.

Answer:

To get the area of the shaded region, subtract the area of the smaller circle from the area of the larger circle.

Step-by-step explanation: From the given figure, we can say that the area of the shaded region is equal to the area obtained by subtracting the area of the circle with C as center and the two semi-circles with AM and MB as diameter from the bigger semi-circle having AB as diameter.

GIMME MY BRANLIEST

Answer:

a yes udjwjwjwjwjwjwjwjwjw

yes men es chef

1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.

2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.

When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.

Similar figures have the same shape, but they may have different sizes and be located in different positions.

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Answer:

-2 < -3 is incorrect among the other statements

The volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells is \($4\pi$\) cubic units.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

To find the volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells, we need to follow these steps:

Sketch the region and the axis of rotation. The region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) is a quarter-circle with radius 2 centered at the origin. The axis of rotation is the x-axis.

Choose a vertical strip with width $\Delta x$ that runs parallel to the y-axis and intersects the region. The height of this strip is given by the equation $y = 4 - x^2$.

Imagine rotating this strip around the x-axis to form a cylindrical shell with thickness \($\Delta x$\), height \($4 - x^2$\), and radius \($x$\).

The volume of this cylindrical shell is given by the formula \($V = 2\pi x(4-x^2)\Delta x$\).

To find the total volume of the solid, we need to add up the volumes of all the cylindrical shells. This can be done by taking the limit as the width of the strips $\Delta x$ approaches zero and summing up the volumes of the resulting shells. This gives us the integral:

\($V = \int_{0}^{2} 2\pi x(4-x^2) dx$\)

We can simplify this integral by expanding the expression inside the parentheses, which gives us:

\($V = \int_{0}^{2} 8\pi x - 2\pi x^3 dx$\)

We can then integrate each term separately to get:

\($V = [4\pi x^2 - \frac{1}{2}\pi x^4]_{0}^{2}$\)

\($V = (4\pi \cdot 2^2 - \frac{1}{2}\pi \cdot 2^4) - (4\pi \cdot 0^2 - \frac{1}{2}\pi \cdot 0^4)$\)

\($V = 8\pi - 4\pi = 4\pi$\)

Therefore, the volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells is \($4\pi$\) cubic units.

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The linear functions that define their distances are given as follows:

The number of hours after noon in which they will be the same distance away from the stadium is of:

8 hours.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

In the context of this problem, the meaning of each parameter is:

They will be the same distance away at the point of intersection of the graph given at the end of the answer, which is of 8 hours.

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Answer:

Area=49x^2+9-42x

Step-by-step explanation:

Area=(Side)^2

Area=(7x-3)^2

Area=49x^2+9-42x

Answer:

25/30

Simplified: 5/6

Step-by-step explanation:

Have a good day!

Please rate and mark brainliest!

Answer:

the answer is 25/30 or in a simple form 5/6

Step-by-step explanation:

The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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The most appropriate reason for Christie making changes to her budget at the end of every month in terms of smart financial planning is B. She is reviewing her goals and aligning the budget to work toward them.Option B is correct.

Smart financial planning involves regularly evaluating and adjusting one's budget to ensure that it reflects their financial goals and current circumstances. By reviewing her goals, Christie can assess if her budget is still aligned with those goals and make any necessary changes to stay on track.

Life circumstances, such as changes in income, expenses, or financial priorities, may warrant adjustments to the budget. Christie recognizes that her needs may change over time, and by modifying her monthly budget, she can ensure that her financial resources are allocated appropriately to meet her evolving goals.

Regularly revisiting and modifying the budget allows Christie to adapt her financial plans, optimize her spending, and make informed decisions to achieve her financial objectives. Option B is correct.

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