if the area of a rectangle is 42 what is the perimeter?

Answer:

Similar!

Step-by-step explanation:

Hope this helps!

Step-by-step explanation:

Answer:17

Step-by-step explanation: you’re welcome

Answer:

$1.46

Step-by-step explanation:

Required cards for winning :

1's, 2's and 3's

There are 4 cards of each in a total of 52 cards ;

Therefore, number of winning cards ;

(4 * 3) = 12 cards

Hence,

P(winning) = 12 / 52 = 3 / 13

P(not winning) = 1 - 3 /13 = (13 - 3) / 13 = 10/13

Earning (X)

Amount earned for winning = $43

Amount lost for not winning = $11

X ___ $43 ______ - $11

P(X) _ 3/13 _______ 10/13

Expected value, E(X) = ΣX*P(X)

Σ(X) = (43 * 3/13) + (-11 * 10/13)

E(X) = 9.9230769 - 8.4615384

E(X) = 1.4615385

E(X) = $1.46

Presuming the 4-line means the student E-mail is composed of 4-lines, to be able to determine how many characters were on each line, let's divide the total characters that a student E-mail contained by 4.

We get,

Therefore, the Student E-mail of 250 Characters in 4 lines must have 125 Characters per Line.

Answer:

b)

Step-by-step explanation:

Answer:

2 1 8 0 3

Step-by-step explanation:

the devidation is a

this comment doesn't exist

Answer:

Step-by-step explanation:

Given the price of 5 units for $5.75

The unit rate is:

Correct choice is C

Answer:

9c - 3d

Step-by-step explanation:

5c-6d+4c+3d

Gather the like terms,

5c + 4c - 6d + 3d

9c - 3d

Hope it helps!<3

Simplifying

5c + -6d + 4c + 3d = 0

Reorder the terms:

5c + 4c + -6d + 3d = 0

Combine like terms: 5c + 4c = 9c

9c + -6d + 3d = 0

Combine like terms: -6d + 3d = -3d

9c + -3d = 0

Solving

9c + -3d = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '3d' to each side of the equation.

9c + -3d + 3d = 0 + 3d

Combine like terms: -3d + 3d = 0

9c + 0 = 0 + 3d

9c = 0 + 3d

Remove the zero:

9c = 3d

Your answer: 9c=3d

Answer:

length of rectangle = 5

width of rectangle = 5

Area of rectangle = 25

Step-by-step explanation:

Since the length of the rectangle is "x", and the value of the area is given by the product of the length "x" times the width "10-x", indeed, the area "y" of the rectangle is given by the equation:

\(y=x\,(10-x)=10x-x^2\)

Now, they tell us that the area of the rectangle is such that coincides with the maximum (vertex) of the parabola this quadratic expression represents. So in order to find the dimensions of the rectangle and therefore its area, we find the x-coordinate for the vertex, and from it, the y-coordinate of the vertex, which is the rectangle's actual area.

Recall that the formula for the x of the vertex of a quadratic of the form :

\(y=ax^2+bx+c\)

is given by the formula:

\(x_{vertex}=-\frac{b}{2\,a}\)

which in our case gives:

\(x_{vertex}=-\frac{b}{2\,a}\\x_{vertex}=-\frac{10}{2\,(-1)}\\x_{vertex}=5\)

Therefore, the length of the rectangle is 5, and its width (10-x) is also 5.

The area of the rectangle is therefore the product of these two values: 5 * 5 = 25

Which should coincide with the value we obtain when we replace x by 5 in the area formula:

\(y=10x-x^2\\y=50-(5)^2\\y=50-25\\y=25\)

The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.

The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:

(7/8)^10 = 0.362

This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:

P(at least one winner) = 1 - P(no winners)

P(at least one winner) = 1 - 0.362

P(at least one winner) = 0.638

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The simplification of the expression (3√-5 + 2)(4√-5 -1) gives 5√-5 - 62

Simplification is a way of determining an answer for a complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus, etc.

Given: the expression (3√-5 + 2)(4√-5 -1)

(3√-5 + 2)(4√-5 -1)

Clear the parenthesis:

(3√-5 + 2)(4√-5 -1) = 3√-5(4√-5) + 3√-5 (-1) + 2(4√-5) + 2(-1)

                             = -60 - 3√-5 + 8√-5 -2

                            = 5√-5 - 62

Therefore, the expression (3√-5 + 2)(4√-5 -1) simplifies to 5√-5 - 62

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Answer:

0.79

Step-by-step explanation:

This value is the most opposite of the value above R, meaning that there is an association between the variables.

Answer:

.79

Step-by-step explanation:

Bc y not

The function f(x) is not continuous for any value of x.

The function f(x) is continuous at a point x if and only if the limit of f(x) as x approaches that point exists and is equal to f(x) at that point.

A continuous function is a function for which small changes in the input result in small changes in the output.

Consider any arbitrary point a in the domain of f(x). For any sequence of rational numbers that converges to a, the sequence f(x) = 0 for all n will converge to 0, which is the limit of the function as x approaches a from the left. Similarly, for any sequence of irrational numbers that converges to a, the sequence f(x) = 4 for all n will converge to 4, which is the limit of the function as x approaches a from the right.

Since the limit from the left and the limit from the right of f(x) are different at every point a, the function f(x) is discontinuous for all x. Therefore, f(x) is continuous nowhere.

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We conclude that if every entry of the matrix \(A + A^2 + ... + A^{(n-1)\) is positive, then G is connected.

What is matrix?

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. It is a fundamental tool used in various branches of mathematics, including linear algebra, calculus, statistics, and computer science.

To prove that G is connected if and only if every entry of the matrix \(A + A^2 + ... + A^{(n-1)\) is positive, we need to show both directions of the statement.

First, let's assume that G is connected. This means that there is a path between any two vertices in the graph. We will prove that every entry of the matrix \(A + A^2 + ... + A^{(n-1)}\) is positive.

Consider the matrix \(B = A + A^2 + ... + A^{(n-1)\). Each entry (i, j) of B represents the number of paths of length at most n-1 from vertex i to vertex j. Since G is connected, there exists a path between any two vertices, so every entry of B is non-zero.

Now, let's focus on a specific entry (i, j) of B. This entry represents the number of paths of length at most n-1 from vertex i to vertex j. Since G is connected, there is at least one path of length at most n-1 from i to j. Therefore, the entry (i, j) of B is positive.

Since this argument holds for any entry (i, j) of B, we conclude that every entry of the matrix \(A + A^2 + ... + A^{(n-1)\) is positive when G is connected.

Now, let's prove the converse. Suppose that every entry of the matrix \(A + A^2 + ... + A^{(n-1)\) is positive. We want to show that G is connected.

Suppose, for the sake of contradiction, that G is not connected. This means that there exist two vertices i and j such that there is no path from i to j. Since there is no path from i to j, the entry (i, j) of the matrix \(A + A^2 + ... + A^{(n-1)\) is 0. However, this contradicts the assumption that every entry of the matrix is positive. Therefore, our assumption that G is not connected must be false.

Hence, we conclude that if every entry of the matrix \(A + A^2 + ... + A^{(n-1)\) is positive, then G is connected.

Combining both directions of the proof, we can conclude that G is connected if and only if every entry of the matrix \(A + A^2 + ... + A^{(n-1)\) is positive.

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Answer:

Step-by-step explanation:

-1 = 7 - x

On this case, what you want to achieve is for all the constants to go to one side of the equation and all the variables would be on the other side of the equation. Let us transpose 7 to the left side of the equation.

subtract 7 on both sides

-1 = 7 - x

-1 - 7 = 7 - 7 - x

Simplify

-8 = -x

Divide both sides by -1

-8/-1 = -x/-1

8 = x

The answer to the question is x=8. It is an example of a linear equation.

A linear equation is an algebraic equation that represents a straight line when graphed on a coordinate plane. It consists of variables, constants, and coefficients, with the variables raised to the power of 1 (i.e., they are not squared or cubed).

A general form of a linear equation with one variable, let's say x, is:

ax + b = 0

Here, 'a' and 'b' are constants, and 'x' is the variable. The coefficient 'a' represents the slope or gradient of the line, while the constant term 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

In this question,

-1 = 7-x (Given)

so, x = 7+1

        =8

Therefore, the solution to the equation is x=8.

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We would reject the null hypothesis in favor of the alternative hypothesis.

The null hypothesis (H0) is that the average number of classes per quarter for students is 2 or less. The alternative hypothesis (Ha) is that the average number of classes per quarter for students is greater than 2. We can express this as:

H0: μ ≤ 2 (mean number of classes per quarter)

Ha: μ > 2

Where μ represents the population mean. This hypothesis is based on the instructor's belief that students take more than 2 classes on average.

The significance level (alpha) is given as 0.01, which means that if the p-value of the test is less than 0.01, we would reject the null hypothesis in favor of the alternative hypothesis.

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Step-by-step explanation:

To simplify the expression 5/9z - 6/9z + 3 - 7/9z, we can first combine the like terms with the same variable coefficient. The terms 5/9z, -6/9z, and -7/9z all have the variable z, so we can add them together to get:

(5/9z) + (-6/9z) + (-7/9z) = (-8/9z)

Now we can substitute (-8/9z) back into the original expression in place of the three z terms we just combined:

5/9z - 6/9z + 3 - 7/9z = (5/9z) + (-6/9z) + (3) + (-7/9z)

= -8/9z + 3

Therefore, the simplified form of the expression is -8/9z + 3.

Answer:-8z+27

                 9

Step-by-step explanation:

The probability assignment is Pr(03) ≈ 0.1133, and Pr(04) = Pr(05) ≈ 0.1133 each.

(a) Given that events 03, 04, and 05 have the same probability, let's denote their probability as p. We know that the sum of probabilities in the sample space S must equal 1. So, we have:

Pr(0) + Pr(1) + Pr(2) + Pr(03) + Pr(04) + Pr(05) = 0.01 + 0.01 + 0.03 + p + p + p = 1

Combining and solving for p:

0.05 + 3p = 1

3p = 0.95

p = 0.95 / 3 ≈ 0.3167

So, the probability assignment is Pr(03) = Pr(04) = Pr(05) ≈ 0.3167.

(b) Given that Pr(S) = 0.34, and Pr(03) has the same probability as 04 and 05 combined, we can write:

Pr(03) + Pr(04) + Pr(05) = 0.34

Let's denote the probability of 03 as q and the combined probability of 04 and 05 as 2q. So:

q + 2q = 0.34

3q = 0.34

q ≈ 0.1133

Therefore, the probability assignment is Pr(03) ≈ 0.1133, and Pr(04) = Pr(05) ≈ 0.1133 each.

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Step-by-step explanation:

Given monomials are 21 xy³ and 24x²y²

21 xy³ = 3×7×x×y×y×y

24x²y² = 3×8×x×x×y×y

HCF of 21xy³ and 24x²y²

=> 3×x×y×y

=> 3xy²

HCF of 21xy³ and 24x²y² = 3xy²

Given monomials are 18 ab and 36abc

18 ab = 18×a×b

36abc = 2×18×a×b×c

HCF of 18 ab and 36abc

=> 18×a×b

=> 18ab

HCF of 18 ab and 36abc = 18ab

Given monomials are 4p³q²r , -12pqr² and 16p²q²r²

4p³q²r = 4×p×p×p×q×q×r

-12pqr² = -3×4×p×q×r×r

16p²q²r² = 4×4×p×p×q×q×r×r

HCF of 4p³q²r , -12pqr² and 16p²q²r²

=> 4×p×q×r

=> 4pqr

HCF of 4p³q²r , -12pqr² and 16p²q²r² = 4pqr

→ The HCF of two or more numbers is the highest Common factor

→ The product of least common factors is the HCF of the numbers

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

The final velocity of the jet flying in the north direction after accelerating for 15s is 473 m/s.

When observed from a specific point of view and as measured by a specific unit of time, velocity is the direction at which an item is moving and serves as a measure of the pace at which its position is changing. How quickly or slowly an object is travelling can be determined by its velocity and speed. Being a vector quantity, we need to define velocity in terms of both magnitude (speed) and direction. A body is considered to be accelerating if the magnitude or direction of its velocity changes.

Given,

The initial velocity u = 200 m/s

Acceleration of jet a = 18.2 m/s²

Time taken t = 15s

We are asked to find the final velocity v of the jet.

W can use the following formula to find the final velocity.

v = u+ at

  = 200 + (18.2) × 15

 = 473 m/s (north)

Therefore the final velocity of the jet flying in the north direction after accelerating for 15s is 473 m/s.

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Answer:

Step-by-step explanation:

Use angle bisector theorem

(3x-3)/5x = 24/44

Solve:

x= 6

Sampling variability occurs when n is too small because small samples do not represent the population well.(Option a)

Sampling variability refers to the natural variation that occurs when different samples are taken from the same population.

When the sample size is small, there is a greater chance of obtaining a sample that is not representative of the population, leading to increased sampling variability.

Larger sample sizes tend to reduce sampling variability as they provide a more accurate representation of the population.

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Answer:

x=5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Look at the attachment below

Hope this helps (:

Answer:

27 is 30% of what number?

D. 90

Step-by-step explanation:

You're welcome.

Answer:

1716

Step-by-step explanation:

here we have to form arrangements of 3 students

taken from 13 students.

• Where order is important because the positions President, Vice President and Treasurer are not the same.

• also ,repetition is not allowed ,because one student can’t occupy two positions at the same time.

Then ,the number of possible ways

is equal to the number of permutations :

= 13P3

= 13×12×11

= 1716

Positive curve graphs will be upward-sloping.

Negative curve graphs will be downward-sloping.

Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.

In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

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Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

The correct place value for the expression 932.076 is defined by option A, D, and E.

Expression is equal to 932.076,

The explanation of the place value of all the options are as follow,

Nine hundred thirty-two and 76 thousandth = 932.076

Option (A) is correct answer.

9·100 + 32 + 76/100

= 900 + 32 + 0.76

= 932.76

Option (B) is not the correct answer.

93·10 + 2 + 7/10 + 6/100

= 930 + 2 + 0.7 + 0.06

= 932.76

Option (C) is not the correct answer.

9·100 + 3·10 + 2 + 76/1000

= 900 + 30 + 2 + 0.076

= 932.076

Option (D) is the correct answer.

93·10 + 2·1 + 7/100 + 6/1000

= 930 + 2 + 0.07 + 0.006

= 932.076

Option (E) is the correct answer.

Nine hundred thirty-two and 76 hundredth = 932.76 not 932.076

Option (F) is not the correct answer.

Therefore, the correct place value of the given expression is equal to option A, D, and E.

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Answer:

(x,y) = (-219/9, -818/9)

Step-by-step explanation: