1/5 of an even number is added to 2/3 of the next even number to obtain 88,find the even number.​

Answer:

David scored : 24 < 6x = 0

Step-by-step explanation:

From the information given;

David  scored ??? points less than six times the number of points Rich scored in a video game.

If  ???   represents the number of points scored by Rich

The objective is to write an expression representing the number of points scored by David.

since the value of David points and Rich letter representing the number of points scored by RIch  are not given,  Let's based our calculation on assumptions, the main thing is to understand the the process in solving the question.

Assumption:

Let assume that,

David scored 24 points and x should be the number of points scored by Rich

Then; the linear equation representing David score is:

David scored : 24 < 6x = 0

Answer:

b

Step-by-step explanation:

Answer:

I dink Bs

Step-by-step explanation:

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

The area under the probability distribution is a measure of the probability of all the possible outcomes. Since the sum of all the probabilities of all the possible outcomes must be 1, the total area under the probability distribution must also be 1. This is because the probability of an event happening is the area under the curve of the probability distribution at that event. Thus, the total area under the probability distribution must always equal 1.

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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Answer:

17.81 would be your answer.

Step-by-step explanation:

You would do 17.29 x 1.03 to get the price after sales tax is added which would be 17.81

Answer:

y = 0, 3, 6

Step-by-step explanation:

insert x values into the equation to get y

Answer:

49.41

Fine the lengths of the top, bottom, and left side first. the do bottom - top and you get 6. To get the length of the right side, do left side squared + 6 squared and you get the length of the right side squared. The answer is top + bottom +   left side + square root of right side squared.

a) The probability of having exactly 5 boys is 0.22

b) The probability of having more than 5 boys is 0.17 or 17%

c) The probability of having at most 5 boys is 0.85.

The probability is determined using the binomial probability formula.

The binomial probability formula is given by:

P(X=k) = \(C(n, k) * p^k * (1-p)^{(n-k)\)

Where:

P(X=k) is the probability of getting exactly k successes (boys)

C(n, k) is the number of combinations of n items taken k at a time

p is the probability of success (having a boy)

n is the number of trials (number of children)

a) To determine the probability of having exactly 5 boys, we can plug in the values into the binomial probability formula:

P(X=5) = C(8, 5) * (0.5)² * (1-0.5)³

P(X=5) = 56 * 0.03125 * 0.125

P(X=5) = 0.21875

Therefore, the probability that the couple has exactly 5 boys is 0.22 or 22%

b) To determine the probability of having more than 5 boys, we need to calculate the probabilities of having 6, 7, and 8 boys and sum them up:

P(X > 5) = P(X=6) + P(X=7) + P(X=8)

P(X > 5) = [C(8, 6) * (0.5)⁶ * (1-0.5)²] + [C(8, 7) * (0.5)⁷ * (1-0.5)¹] + [C(8, 8) * (0.5)⁸ * (1-0.5)⁰]

P(X > 5) = 0.109375 + 0.0546875 + 0.00390625

P(X > 5) = 0.17

Therefore, the probability that the couple has more than 5 boys is 0.16875 or 16.875%.

c) To determine the probability of having at most 5 boys, we need to calculate the probabilities of having 0, 1, 2, 3, 4, and 5 boys and sum them up:

P(X <= 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

P(X <= 5) = [C(8, 0) * (0.5)⁰ * (1-0.5)⁸] + [C(8, 1) * (0.5)¹ * (1-0.5)⁷] + [C(8, 2) * (0.5)² * (1-0.5)⁶] + [C(8, 3) * (0.5)³ * (1-0.5)⁵] + [C(8, 4) * (0.5)⁴ * (1-0.5)⁴] + [C(8, 5) * (0.5)⁵ * (1-0.5)³]

P(X <= 5) = 0.00390625 + 0.03125 + 0.109375 + 0.21875 + 0.2734375 + 0.21875

P(X <= 5) = 0.85546875

Therefore, the probability that the couple has at most 5 boys is 0.85546875 or 85.546875%.

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Answer: M= -5

Step-by-step explanation: -5x+12

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

y = 12 - 5x

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

y = x + 6

Step-by-step explanation:

Line is passing through the points (0, 6) & (1, 7)

So, y-intercept (b) = 6

Slope (m) \( =\frac{(7 - 6)}{(1 - 0)} = \frac {1}{1} = 1\)

Equation of line in slope-intercept form is given as:

y = mx + b

Plugging the values of m and b in the above equation, we find:

y = 1*x + 6

y = x + 6

Applying this property to this case:

The function f(z) is analytic.

Given u(x,y) = x⁴ - 6x²y² + y⁴ + x.

Firstly, let's check whether the given function is harmonic or not. A function u(x, y) is said to be harmonic if it satisfies the Laplace equation. i.e.,

∂²u/∂x² + ∂²u/∂y² = 0.

So, let's find the second-order partial derivatives of u to x and y.

∂u/∂x = 4x³ - 12xy² + 1

∂²u/∂x² = 12x² - 12y²

∂u/∂y = -12x²y + 4y³

∂²u/∂y² = -12x² + 12y²

Therefore,

∂²u/∂x² + ∂²u/∂y² = 12x² - 12y² - 12x² + 12y² = 0

Since f(z) is analytic, it must satisfy the Cauchy-Riemann equations:

u/∂x = ∂v/∂ and

∂u/∂y = -∂v/∂x

We have

∂u/∂x = 4x³ - 12xy² + 1.

So,

∂v/∂y = 4x³ - 12xy² + 1

∫∂v = ∫(4x³ - 12xy² + 1) dy

∂v/∂y = 4x³y - 4y³ + y

∴ v(x, y) = x⁴ - 4x²y² + y² + xy + C, where C is an arbitrary constant. So, the corresponding v(x, y) is given by v(x, y) = x⁴ - 4x²y² + y² + xy + C.

Therefore, the function f(z) is analytic.

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1 1/2 = 1 5/10

2/5 = 4/10

1 5/10 - 4/10 = 1 1/10

1 1/10 + 2 = 3 1/10

3 1/10 gallons of paint left

Answer: 31/10 gallons of paint.

Step-by-step explanation:

Find common denominators.

3/2 = 15/10

2/5 = 4/10

15/10 - 4/10 = 11/10

2 + 11/10 = 31/10

On solving the provided question, we can say thatarea of the figure = area of triangle + area of semi-circle = 12 + 14.13 = 26.13 yd sq.

The size of an area on a surface can be expressed as an area. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a planar region or planar region refers to the area of a form or planar layer. The total amount of space filled by a planar (2-D) surface or shape of an object is known as its area. Draw a square on a piece of paper using a pencil. a character with two dimensions. The area of a shape on paper is the space it takes up. Imagine that the square is composed of more compact unit squares.

area of semi-circle = 1/2 * \(\pi *r^2\) = 0.5*3.14*3*3 = 14.13yd sq.

area of triangle = 1/2*b*h = 0.5*6*4 = 12sq. yd

area of the figure = area of triangle + area of semi-circle = 12 + 14.13 = 26.13 yd sq.

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The number of miles travelled is 6.2 miles.

What is Kilometer ?

A kilometer (km) is a unit of length or distance measurement in the metric system. It is equivalent to 1,000 meters or approximately 0.62 miles. The prefix "kilo" means "thousand", so one kilometer is equal to 1,000 meters.

Completing the statements:

Kilometers are a larger unit of distance measurement compared to miles. That means the number of kilometers in a distance will always be greater than the number of miles in that distance.

We can convert miles to kilometers by multiplying the number of miles by 1.61. For example, if we have a distance of 5 miles, we can convert it to kilometers as:

5 × 1.61  = 8.05 kilometers

We can also convert kilometers to miles by multiplying the number of kilometers by 0.62. For example, if we have a distance of 10 kilometers, we can convert it to miles as:

10  × 0.62  = 6.2 miles

Therefore, The number of miles travelled is 6.2 miles.

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Answer:

We have parallel lines intersected by a transversal.

Corresponding angles are congruent:

5q + 3 = 3q + 11

2q = 8, so q = 4

Alternate interior angles are congruent:

3r - 4 = 6r - 19

3r = 15, so r = 5

Consecutive interior angles are supplementary:

4s + s + 90 = 180

5s = 90, so s = 18

Supplementary angles:

2t + 20 = 4t + 10

2t = 10, so t = 5

Function A has a rate of change of 5 & function B has a rate of change of -4.5. so, function A has a greater rate of change.

What is the rate of change?

The rate at which a variable changes over a given time period. It is frequently used when discussing momentum, and it can be expressed as a ratio of a change in one variable to a corresponding change in another. This ratio is represented graphically by the slope of a line.

For the first function, we can use the equation of the slope

\(m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

take any two points,

m = (25-15)/5.5-3.5 = 10/2 = 5

The general equation of a straight line is;

y = mx + c

where m is the slope

Therefore, in the case of the second equation, -4.5 is the slope

Hence, function A has a rate of change of 5 & function B has a rate of change of -4.5. so, function A has a greater rate of change.

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Answer:

c; y = 2x

Step-by-step explanation:

if it was without the coupon the fee would be the $2 per mile (2x) with the $35 which would be

y = 2x + 35

but with the coupon the $35 reservation is removed so only 2x is left

y = 2x

Answer:

the length of cube

is 2 mm

Answer:

2m

Step-by-step explanation:

A cube is a 3-dimensional object with all sides of equal length. So, length = breadth = height

Let the side of cube be x.  

Then Volume of cube = x * x * x

So, length (side) of cube is 2m

Answer:

Answer:

I guess lol.....

The required answer to the subtraction problem 83,456 - 728.88 is, 82,727.12

Subtraction is mathematical terminology that helps and elaborates the decrease in the original value by some value.

Here,
To perform the subtraction, you line up the decimal points and subtract the digits in each place value starting from the right. In this case, you subtract 8 from 6, which requires borrowing 1 from the digit to the left, giving you 16 - 8 = 8 in the one's place. You then subtract 2 from 5, giving you 3 in the tenth place. Continuing this process, you get the result of 82,727.12.

Thus, the answer to the subtraction problem 83,456 - 728.88 is, 82,727.12

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Answer:

(8,2) Look at graph I did to better understand.

Explanation:

First of all EVERYONE'S smart in their own way so don't even say that about your self... Second of all of course I'll help you.

So we have the coordinates to point C, which are (x+8, y-2) correct? If we are translating, or reflecting, it across the x-axis, this means we are moving the point across the horizontal line, so it can only go up or down from its current location.

To know where the point is actually located...

For x, start at zero and along the x-axis move to the right (since 8 is positive) 8 times.

For y, start at zero and along the y-axis move downwards (since 2 is negative) 2 times.

The original point of C is going to be (8,-2), if I'm doing this right. So reflecting it will move it to quadrant 1, and thus become point C' is (8,2).

The righting moment of the box-shaped barge is 14,515.2 Nm if she is heeled to an angle of 3°.

A box-shaped barge of 80 meters length and 8 meters breadth is floating at an even keel draft of 2.8 meters.

Her KG is 2.5 meters.

To calculate the righting moment if she is heeled to an angle of 3°, use the formula: RM = GZ x Displacement

Where, GZ = GM sin(θ)Displacement = Volume of water displaced × Density of water. Given, Length (l) = 80 meters

Breadth (b) = 8 meters, Draft (T) = 2.8 meters, KG = 2.5 meters, Angle of heel (θ) = 3°

Depth of the center of gravity (G) = T - KG = 2.8 - 2.5 = 0.3 meters.

The new center of buoyancy (B') moves to the new center of gravity (G').

GZ = GM sin(θ)= (BM - BG) sin(θ) = KB sin(θ)= T / 2 sin(θ) = 2.8 / 2 × sin 3°= 0.0756 meters

Displacement (D) = Volume of water displaced × Density of water= lb × bw × d × ρ= 80 × 8 × 0.3 × 1000= 192,000 kg

RM = GZ × Displacement= 0.0756 × 192,000= 14,515.2 Nm

Therefore, the righting moment of the box-shaped barge is 14,515.2 Nm if she is heeled to an angle of 3°.

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Answer:

Step-by-step explanation:

First, you have to multiply. 15x4=60. All you need to do is add a zero to that product. You will get 600. Product means the answer to a multiplication problem. That is why you would have to multiply to get your answer. Your answer to that part is 600. 15*40= 600. Then, you would do 45+15= 60. 600/60= 10. Your answer is 10.

The sigma notation of the series is  \(\sum_{n=3}^9(2n)\)

How to write the sigma notation?

                          2n = 6

                          n   = 3

                        2n = 18

                           n = 9

              The limits are [3,9]

                     \(\sum_{n=3}^9(2n)\)  = 84

What is a sigma notation?

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Answer:

The salesperson will get $27.23

Step-by-step explanation:

Given that:

Commission of salesperson = 5.5% of selling price

Selling cost of couch = $495

Commission amount = 5.5% of 495

Commission amount = \(\frac{5.5}{100}*594\)

Commission amount = 0.055 * 495

Commission Amount = $27.23

Hence,

The salesperson will get $27.23

v=3.14×.75×0.75×4