What is the forecast for May using a five-month moving average?(Round answer to the nearest whole number.) Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
A. 43 B. 47 C. 52 D. 38 E. 39

Kimani needs 1.96 quart of paint to paint the parallelogram.

Area of the figure = (b × h)+(b' × h')

Area of the sign that is not black is 604 in².

A parallelogram's area is the area that it occupies in a two-dimensional plane. A parallelogram is a four-sided, two-dimensional form in geometry.

This particular quadrilateral example has equal and parallel opposite sides. The space bounded by a parallelogram's four sides is known as its area. A parallelogram's area is determined by multiplying its length by its height. A quadrilateral's interior angles add up to 360 degrees. Two pairs of parallel sides with equal lengths make up a parallelogram. Its area and perimeter are defined by the fact that it is a two-dimensional figure.

Now area of the parallelogram = 28 × 7 = 196 ft².

1 quart paints 100 ft².

So for 196 ft² = 196/100

= 1.96.

Now let the base of small parallelogram be b and height be h.

Let base of large parallelogram be b' and height be h'.

Total area = (b × h)+(b' × h')

In the figure here,

Area of the whole sign = 36 × 30 = 1080in²

Area of the black region = 2(17 × 14) = 2×238 = 476in²

Required area = 1080-476 = 604 in².

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Kimani needs 1.96 quart of paint to paint the parallelogram.

Area of the figure = (b × h)+(b' × h')

The area of the sign that is not black is 604 in².

The area of a parallelogram is the space it takes up on a two-dimensional plane. In geometry, a parallelogram is a four-sided, two-dimensional shape.

The opposite sides of this particular quadrilateral are parallel and equal. The area of a parallelogram is the region enclosed by its four sides. The area of a parallelogram is found by multiplying its length by its height. The internal angles of a quadrilateral sum 360 degrees. A parallelogram is a shape having two sets of parallel sides of equal length. As a two-dimensional figure, its area and perimeter are determined by this.

Now the area of the parallelogram = 28 × 7 = 196 ft².

1 quart paints 100 ft².

So for 196 ft² = 196/100

= 1.96.

Let b be the little parallelogram's base and h be its height.

Let b' be the base and h' be the height of a big parallelogram.

Total area = (b × h)+(b' × h')

In the figure here,

Area of the whole sign = 36 × 30 = 1080in²

Area of the black region = 2(17 × 14) = 2×238 = 476in²

Required area = 1080-476 = 604 in².

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Answer:

I believe it's 15

Step-by-step explanation:

15^2 is 225

Answer:

Well..

Step-by-step explanation:

-O.6/1

Option (A) Names of TV shows taped in New York are an example of qualitative data. Qualitative data is descriptive in nature and does not involve numerical values or measurements.

It deals with qualities or attributes that cannot be expressed numerically. In this case, the names of TV shows are characteristics that describe the nature of the data. Quantitative data, on the other hand, is numerical data that can be measured and expressed in numbers. A parameter is a measurable factor or variable that can be used to define a system, while statistics is a branch of mathematics that deals with data collection, analysis, and interpretation. In conclusion, since the names of TV shows are descriptive in nature and do not involve numerical values, they are an example of qualitative data.

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Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

The correct statement regarding David's claim is given as follows:

David’s claim is incorrect because the interquartile range for his scores is greater than the interquartile range for Elise’s scores.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

The interquartile range is a metric of consistency, and the lower the interquartile range, the more consistent the data-set is.

The interquartile range for David is greater than for Elise, hence his claim is incorrect.

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Answer:

Below

Step-by-step explanation:

Losing 27 % of value each year means it retains 73% each year

  we need to multiply 20 000 x  .73 x .73 x .73     ....  .73     (twelve times )

                  or   re-written as   20 000 * .73^12 = value =$ 458.04

Answer:

the answer is A.

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

1. x = 30

2. ∠1 = 30°

3. ∠2 = 60°

4. ∠3 = 120°

Step-by-step explanation:

⭐What are supplementary angles?

⭐What are complementary angles?

Set up the equations for the situation:

∠1 + ∠2 = 90

∠2 + ∠3 = 180

x + 2x = 90 . . . (1)

2x + ∠3 = 180 . . . (2)

First, solve for "x" in equation 1:

x + 2x = 90

3x = 90

∴ x = 30

Next, substitute "x" into ∠1 and ∠2 to solve for ∠1 and ∠2:

∠1 = x

∴ ∠1  = 30°

∠2 = 2x

∠2 = 2(30)

∴ ∠2  = 60°

Finally, substitute "x" into equation 2 to solve for ∠3:

2x + ∠3 = 180

2(30) + ∠3 = 180

60 + ∠3 = 180

∴ ∠3 = 120°

No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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How many pages are there in the book: The total number of pages in the book is 48.

Give the total number of pages accessing the book = x.

On Monday, he read 30 pages.

On Tuesday, he read 1 / 8 the total pages i.e. x / 8

On Wednesday, he read the excess 1 / 8 of the total pages i.e. x / 4

In this way, we have a relationship,

30 + x /8 + x / 4= x

i.e. 240 + x + 2x / 8 = x

i.e. 240 + 3x = 8x

i.e. 5x = 240

i.e. x = 48

Subsequently, the total number of pages in the book is 48.

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Step 1: \(6.3^2+x^2=15.4^2\)

Step 2: \(x^2=15.4^2-6.3^2\)

Step 3: \(x=\sqrt{15.4^2-(6.3)^2}\)

Step 4: \(x=14.05\)

The probability of getting exactly 4 winning numbers with one ticket is 0.0779.

The hypergeometric distribution is a probability distribution that describes the probability of getting a certain number of successes in a sample of fixed size, without replacement, from a population where the successes and failures are known.

In this problem, we are told that a lottery game has 6 winning numbers out of 47 total numbers. We are also told that a bettor selects 6 numbers from 1 to 47 (without repetition), and that a winning 6-number combination is later randomly selected. We want to find the probability of getting exactly 4 winning numbers with one ticket.

The probability of getting exactly 4 winning numbers with one ticket can be calculated using the hypergeometric distribution. The formula for the hypergeometric distribution is:

P(x) = \frac{(A-x)\binom{B}{n-x}\binom{A+B-N}{n}}{\binom{A+B}{n}}

where:

A is the number of successes in the population

B is the number of failures in the population

n is the sample size

x is the number of successes in the sample

N is the population size

In this problem, we have:

A = 6 (number of winning numbers)

B = 41 (number of non-winning numbers)

n = 6 (sample size)

x = 4 (number of winning numbers in the sample)

N = 47 (population size)

Plugging these values into the formula, we get the following probability:

P(4) = \frac{(6-4)\binom{41}{2}\binom{47-4}{6}}{\binom{47}{6}} = 0.0779

Therefore, the probability of getting exactly 4 winning numbers with one ticket is 0.0779.

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Answer:

Step-by-step explanation:

i.

(10y+x) - (10x+y) = 63 ---> This subtracts the original from the number with the reversed digits, and makes it equal to 63, so the number increases by 63

y - x = 7 ---> We have to prove this is true, so put it into the original equation

y = 7 + x ---> manipulate the above equation, and substitute it into the original equation

[10 (7 + x) + x] - [10x + (7 + x)] = 63

(70 + 11x) - (11x + 7) = 63

63 = 63 ---> Solve the equation, and because it comes out to be true, you proved that y - x = 7

ii. a.

(10x + y) + (10y + x) = 99 ---> The sum of the original and reversed numbers

x + y = 9

y = 9 - x ---> substitute this into the original equation

[10x + (9 - x)] + [10 (9 - x) + x] = 99

(9x + 9) + (90 - 9x) = 99

99 = 99

ii. b.

infinitely many solutions

Hi there!

We can use right-triangle trigonometry to solve.

We are given the HYPOTENUSE and ADJACENT sides, so we must use cosine in this instance.

cosθ = Adjacent/Hypotenuse

We can plug in what is given:

cos(28) = A/17

Solve for 'A':

17cos(28) = 15.01 ft

Answer:

z = 0

Step-by-step explanation:

Step 1: Write equation

9z - 5 - 4z = -5

Step 2: Solve for z

Step 3: Check

Plug in x to verify it's a solution.

9(0) - 5 - 4(0) = -5

0 - 5 - 0 = -5

-5 = -5

Answer:

z=0

Step-by-step explanation:

First, let's combine like terms (9z and -4z). When we add these two values, we get 5z. This leaves the left side to be 5z-5 and that is equal to -5. To get z by itself, we have to add 5 on both sides. This equals 5z=0. Then, we divide by 5 on both sides since the inverse operation of multiplication is division. This leaves z=0.

Answer:

15.5

Step-by-step explanation:

Answer:

14.8

Step-by-step explanation:

20% less than 18.5 is  14.8

With m′x=mx, xmx is differentiable. Since m0=1, mx=ex for every x 1 and E(N)=m1=e specifically.

A quantity or item that depends on random events is formalized mathematically as a random variable, also known as a random quantity, aleatory variable, or stochastic variable.

It is a mapping or function from potential outcomes, such as the potential heads or tails of a coin flip.

This graph demonstrates how random variables are a function of real values and all conceivable outcomes.

It also demonstrates how probability mass functions are defined using random variables.

Informally, randomness usually denotes some basic element of chance, like as the roll of a die, and it may also denote uncertainty, such as measurement mistake.

Hence, With m′x=mx, xmx is differentiable. Since m0=1, mx=ex for every x 1 and E(N)=m1=e specifically.

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Answer:

Given perimeter=900m

So each side = 900/4

                       = 225

as area of square = side^2

=225^2

=50,625 meters

Answer:

Step-by-step explanation:x y = 4 x - y = 6 = get you some b1tc1es

Answer:

28x^2

Step-by-step explanation:

5+5+9+9 = 28

Answer:

To maximize profits;

96 t-shirts should be produced

85 hats should be produced

The profit from the t-shirts is $348

The profit from the hats is $425

Step-by-step explanation:

The given information are;

The amount of profit per t-shirt = $4

The amount of profit per t-shirt = $5

The time it takes to print a t-shirt = 10 minutes

The time it takes to dry the printed t-shirt = 15 minutes

The time it takes to print a hat = 16 minutes

The time it takes to dry the printed hat = 12 minutes

The amount of time available for printing = 20 hours = 1200 minutes

The amount of time available for drying = 20 hours = 1200 minutes

Therefore, we have;

The total number of t-shirts that can be printed in 20 hours = (The amount of time available for printing)/(The time it takes to print a t-shirt)

The total number of t-shirts that can be printed in 20 hours = (1200 minutes)/(10 minutes)

The total number of t-shirts that can be printed in 20 hours = 120 t-shirts can be printed

The total number of t-shirts that can be dried in 20 hours = (The amount of time available for drying the t-shirts)/(The time it takes to dry a t-shirt)

The total number of t-shirts that can be dried in 20 hours = (1200 minutes)/(15 minutes) = 80 t-shirts can be dried

The total number of hats that can be printed in 20 hours = (The amount of time available for printing)/(The time it takes to print a hat)

∴ The total number of hats that can be printed in 20 hours = (1200 minutes)/(16 minutes) = 75 hats can be printed

The total number of hats that can be dried in 20 hours = (The amount of time available for drying the hats)/(The time it takes to dry a hat)

∴ The total number of hats that can be dried in 20 hours = (1200 minutes)/(12 minutes) = 100 hats

Therefore, given that only 80 t-shirts can be dried in 20 hours, we have;

The total number of t-shirts to be produced = 80 t-shirts

The profit made from the shirts is 80 × $4 = $320

Also, given that only 75 hats can be dried in 20 hours, we have;

The total number of t-shirts to be produced = 75 hats

The profit made from the shirts is 75 × $5 = $375

However, to maximize profit, we have;

Total time to print and dry the t-shirts = 1200 + 1200 = 2,400 minutes

Therefore, whereby X number of t-shirts can be produced in the total time, we have;

10·x + 15·x = 2,400 minutes

25·x = 2,400 minutes

x = 2,400 minutes/25 = 96 t-shirts should be produced

Profit = $4 × 96 = $348

Similarly, for the hat, we have;

16·x + 12·x = 2,400 minutes

28·x = 2,400 minutes

x = 2,400 minutes/28 ≈ 85 hats should be produced (rounding down)

Profit = $5 × 85 = $425.

The length of the line segments are 12 cm , 27 cm and 43 cm

A line segment is bounded by two distinct points on a line. Or we can say a line segment is part of the line that connects two points. A line has no endpoints and extends infinitely in both the direction but a line segment has two fixed or definite endpoints.

Given here total measure of the segments is 82 cm. Let the measure of the second segment be x then as per question we have

4x/9+ x + x+16=82

22x/9+16=82

22x/9=66

x        = 27 cm

Hence, the length of the segments are 12 cm , 27 cm and 43 cm

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Answer:

1. 48

2. 12 x 4 = 48

Step-by-step explanation:

Bella has 12 friends and gave each of them 4 pieces of candy. So to find out how much candy she had, you have to multiply the friends by the candy she gave them.

At one time, the British advanced corporation tax system taxed British companies' foreign earnings at a higher rate than their domestic earnings.

This was put in place to discourage multinational corporations from artificially shifting profits earned in the UK to low-tax jurisdictions. The policy was aimed at preventing companies from avoiding tax by moving profits out of the UK and into tax havens. By imposing a higher tax rate on foreign earnings, the UK government hoped to make it less attractive for companies to engage in profit-shifting practices.

The policy was controversial and faced criticism from some business groups, who argued that it placed an unfair burden on companies operating overseas. However, the government defended the policy as necessary to ensure that companies paid their fair share of tax in the countries where they operated. Eventually, the policy was replaced by a territorial tax system, which only taxes companies on their profits earned in the UK. This change was made to simplify the tax system and make it more attractive for companies to invest in the UK.

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Answer:

2740.5

Step-by-step explanation:

This is what I got why I did was multipley them

Answer:

2740.5

Step-by-step explanation:

This is what I got when I multipled

The water that was left after the 20th caravan passed through the pool is 50 m³. Using fractions, the required value is obtained.

A fraction is a rational number that has the required part and whole part of an object.

It is given that,

The total volume of the water in the pool is W = 1050 m³

Twenty caravans are traveling across the desert one day apart.

1) On the first day, the camel consumed half of the water in the pool.

Then we can write, water consumed by the camels on the first day = 1/2 × W

So, the remaining water left in the pool = W - W/2 = W/2 ...(i)

2) On the second day, the camel consumed one-third of the water in the pool.

Then, water consumed by the camels on the second day = 1/3 × W/2 = W/6

So, the remaining water left in the pool = W/2 - W/6 = 4W/12 = W/3 ...(ii)

3) On the third day, the camel consumed one-quarter of the water in the pool.

Then, water consumed by the camels on the third day = 1/4 × W/3 = W/12

So, the remaining water left in the pool = W/3 - W/12 = 3W/12 = W/4 ...(iii)

From (i), (ii), and (iii) we can observe that the denominator of the remaining water volume is increased by 1 every next day.

I.e., the general form we can write here is W/(n + 1)

Where W - the volume of the water; n - the number of days it reaches the pool.

Thus, on the 20th day, the camels will consumed the remaining water. I.e.,

The remaining water left in the pool = W/(20 + 1) = W/21

But we have W = 1050 m³

On substituting,

The remaining water left in the pool after the 20th caravan passed through = 1050/21 = 50 m³

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