Multiply.0.64x 12.55​

Answer:

\(x=9.6cm\)

Step-by-step explanation:

\(x=\frac{2Area}{20}\\\\Area = \frac{16 * 12}{2} = 96 cm^{2}\\ \\x = \frac{2 * 96}{20} = \frac{192}{20} = \frac{48}{5} = 9.6 cm\)

Answer:

these are the answers

part a. ⅔

part b. 1 ⅓

Answer:

\((x-1)^2 + (y+4)^2 = 100\\\\\)

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

Work Shown:

\((x-h)^2 + (y-k)^2 = r^2\\\\(x-1)^2 + (y-(-4))^2 = 10^2\\\\(x-1)^2 + (y+4)^2 = 100\\\\\)

You could expand terms out and simplify, but I think it's more handy to leave it in this form so you can easily spot the center and radius from a glance.

The solution is, (x - 1)² + (y + 4)² = 100 , is the equation of a circle that is centered at (1,-4) with a radius of 10.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. The perimeter around the circle is known as the circumference.

here, we have,

we know that,

the standard form of a circle equation is

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle, and r is the radius.

to get r² we simply use the given radius,

here, r = 10

so, we get,

r² = 100

now, circle that is centered at (1,-4)

so, we have,

(x - 1)² + (y + 4)² = 10²

we get, equation in standard form is therefore

(x - 1)² + (y + 4)² = 100

Hence, The solution is, (x - 1)² + (y + 4)² = 100 , is the equation of a circle that is centered at (1,-4) with a radius of 10.

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Answer:

use calculator duh

Step-by-step explanation:

Answer:

3.12*10^-9

Step-by-step explanation:

took the test

Answer:

4

Step-by-step explanation:

z = \(\frac{6}{15}\) × 10

  = 4

Answer:

7%

Step-by-step explanation:

Perimeter of a rectangle

P = 2(w + l)

where:

Given:

Therefore, the perimeter of the original rectangle is:

⇒ P = 2(30 + 20)

⇒ P = 2(50)

⇒ P = 100 cm

If the width is increased by 5%:

⇒ new width = 30 × 1.05 = 31.5 cm

If the length is increased by 10%:

⇒ new length = 20 × 1.1 = 22 cm

Therefore, the new perimeter will be:

⇒ P = 2(31.5 + 22)

⇒ P = 2(53.5)

⇒ P = 107 cm

Percentage Increase

\(\sf PI=\dfrac{final\:value-initial\:value}{initial\:value} \times 100\)

Substitute the values:

\(\begin{aligned} \implies \sf Percentage\:increase & = \sf \dfrac{new\:perimeter-original\:perimeter}{original\:perimeter} \times 100\\\\& = \sf \dfrac{107-100}{100} \times 100\\\\& = \sf 7\%\end{aligned}\)

Step-by-step explanation:

P(two green candies)

15 candies in total

5 green/15 total

which is equal to 1/3

left over candies= 13 because we are removing 2 green from the total

Answer:

true

Step-by-step explanation:

It's True (I think so) :)

Answer:

p(Sports U Work)=1/4

Step-by-step explanation:

13+2/20

15/20

3/4

4/4-3/4=1/4

1/4

If this helps please mark as brainliest

The age of Kwaku is 8 years old , Esi is 13 years old and Kojo is 26 years old.

An equation is a statement that contains algebraic expressions equated by an equal sign with constants or other variables.

Let the age of Kwaku is x

Let the age of Esi is y

From the given data

The age of Kojo is 2y

y = x +5

Sum of their age = 47

2y = 2x +10

therefore the equation formed is

x + y +2y = 47

x + x+5 + 2x +10 = 47

4x +15 = 47

4x = 32

x = 8

y = 13

2y = 26

Therefore Kwaku is 8 years old , Esi is 13 years old and Kojo is 26 years old.

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Step-by-step explanation:

15.5 is the answer sorry if I am wrong

Answer:

15.5

Explanation:

10.5 - 7 = 3.5

4 x 3 = 12

3.5 + 12 = 15.5

The possible pairs of positive integers that can represent the base and height of the given triangle whose area is 18 ft² are: {4, 9} and {6, 6}

Given that the base, b and the corresponding height, h, of a parallelogram are in the ratio of 5:3

. Also, the area is given as 135 mm2. Now, we need to find the value of base, b and the corresponding height, h.

For a parallelogram, the area is given as A = b * h, where b is the base and h is the height. We know that b:h = 5:3, which can also be written as h = (3/5) * b.

Substituting the value of h in terms of b, we get:A = b * (3/5) * b = 3b²/5 = 135 mm²Multiplying both sides by 5/3, we get:b² = (135 * 5)/3 = 225b = √225 = 15 mm.

Therefore, the value of base, b = 15 mm.And, the value of the corresponding height, h = (3/5) * 15 = 9 mm.

The base of the parallelogram is 15 mm and its height is 9 mm.17. Given that the area of the triangle is 18 ft², we need to list all the possible positive integers that could represent its base and height.For a triangle, the area is given as A = (1/2) * b * h, where b is the base and h is the height.

We know that the area is 18 ft².Substituting the value of A and simplifying, we get:b * h = 2 * 18 = 36There are several pairs of integers whose product is 36. The possible pairs are:{1, 36}, {2, 18}, {3, 12}, {4, 9}, and {6, 6}.

However, not all these pairs will form the base and height of the triangle because the length of the base must be greater than 0 and less than the perimeter of the triangle.

Similarly, the height of the triangle must be greater than 0 and less than the length of the base.Therefore, the possible pairs of positive integers that can represent the base and height of the triangle are: {4, 9} and {6, 6}.

The possible pairs of positive integers that can represent the base and height of the given triangle whose area is 18 ft² are: {4, 9} and {6, 6}.

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The probability that exactly two balls are of the same color when drawing 3 balls with replacement from an urn containing 1 green ball, 1 red ball, 1 yellow ball and 1 white ball is 4/16 or 1/4.

There are three ways to draw two balls of the same color: two green balls and one of any other color, two red balls and one of any other color, or two yellow balls and one of any other color. Each of these ways can occur in 4 different orders (e.g. GGR, GRG, RGG, etc.) for a total of 12 possible outcomes. The probability of each of these outcomes is (1/4)^3 = 1/64. Therefore, the probability of exactly two balls being of the same color is 12/64 or simplified to 3/16, which is equivalent to 1/4.

Therefore, the probability of exactly two balls being of the same color when drawing 3 balls with replacement from an urn containing 1 green ball, 1 red ball, 1 yellow ball and 1 white ball is 1/4.

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The correct is (C) μ = -0.05 and σ = 0.15. The investigator is using the sample proportion p to estimate the true proportion of red blossoms in his hybrid plants.

The sample proportion p is expected to be normally distributed with a mean of μ = 0.15 and a standard deviation of σ = sqrt(p(1-p)/n), where n is the sample size. Substituting the values given, we get σ = sqrt(0.15(1-0.15)/50) = 0.05. However, since the investigator anticipates that the proportion of red blossoms is 0.15, he expects the sample proportion to be close to this value. Therefore, the mean of the sample proportion distribution should be close to the anticipated proportion, which is 0.15 - p = 0.15 - 0.15 = -0.05. Therefore, the correct answer is (C) μ = -0.05 and σ = 0.15. The investigator's anticipated proportion of red blossoms in his hybrid plants is 0.15. With a random sample of 50 plants, the sample proportion (p) follows a normal distribution. To determine the mean (μ) and standard deviation (σ), we can use the given information:
μ = p = 0.15 (anticipated proportion)
n = 50 (sample size)
We can calculate the standard deviation using the formula for binomial distribution:
σ = √(p(1-p)/n) = √(0.15(1-0.15)/50) = √(0.15*0.85/50) ≈ 0.05
Thus, the correct answer is (B) μ = 0.15 and σ ≈ 0.05.

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The opposite diagonal is 5.95m long, exact as previous diagonal in length which indicates that the table's diagonal length is the same throughout.

According to the Pythagorean Theorem, the square of the length of the hypotenuse in every right triangle equals the sum of the squares of the lengths of the two legs.

Let's denote the width as w = 4.1m and the length as l = 4.1m. Then, the diagonal length d can be found as:

d² = w² + l²

Substituting the given values, we get:

d² = (4.1m)² + (4.1m)²

d² = 16.81m² + 16.81m²

d² = 2(16.81m²)

d = sqrt(2(16.81m²))

d ≈ 5.95m

So, we have found that the diagonal length across the table is approximately 5.95m.

Now, to prove that the diagonal length is the same length, we can repeat this calculation, but using the other diagonal of the table.

Let's denote the width as w = 4.1m and the length as l = 4.1m. Then, the other diagonal length d' can be found as:

d'² = w² + l²

Substituting the given values, we get:

d'² = (4.1m)² + (4.1m)²

d'² = 16.81m² + 16.81m²

d'² = 2(16.81m²)

d' = sqrt(2(16.81m²))

d' ≈ 5.95m

As a result, we have established that the other diagonal is roughly 5.95m long, the same as the first diagonal. This demonstrates that the table's diagonal length is the same throughout.

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Answer:

∠A = 120° (180°-60°)

∠W = 60° (b/c ∠W=∠X)

∠Y = 100° (b/c 180°-80°)

∠X = 60° (180°-120°)

∠Z = 120° (180-60°)

Step-by-step explanation:

im unsure about A and W

Answer:

As we go to high numbers of segments, if we double the number of segments, the error is to be multiplied by 1/4

The inaccuracy should often reduce as we increase the number of segments in the composite rectangle rule integration. In particular, with the composite rectangle rule, we estimate the error to be roughly increased by 1/4 if the number of segments is ideally doubled.

Because of this, the composite rectangle rule's error, which is determined by the formula (b-a)/n. In the given equation, b denotes upper bound of integration, a denotes lower bound of integration, and n denotes total number of segments, which is inversely proportional to the width of the segments. The width of the segments changes to (b-a)/(2n), which is half of their initial width, when the number of segments is doubled. Thus, the mistake should be multiplied by 1/4 or split by 4.

Complete Question:

As we go to high numbers of segments, if we double the number if segments in composite rectangle rule integration, we expect the error to be multiplied by approximately what?

a. 1/2

b. 1/4

c. 2

d. 4

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Part i) Simple interest = $600,000.00.

Part ii) Selling price = $2,900,000.00.

Part i) The formula for simple interest is;

SI = PRT/ 100

P = principal amount = $2,000,000.00.

R = rate of interest  = 15%

T = time in years = 2 years.

Put the value in the formula;

SI = ( $2,000,000 × 2 × 15)/100

On simplification;

SI = 600,000

Thus, the simple interest at the end of 2 years is $600,000.oo

Part ii) the selling price

Selling price = cost price + profit

Selling price = cost price + 45%of cost price

Cost price = $2,000,000.00

45%of cost price = 45× $2,000,000.00/100

45%of cost price = 900,000.00

Selling price = $2,000,000.00 + 900,000.00

Selling price = $2,900,000.00.

The the selling price of the fridge is found as $2,900,000.00.

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The x-coordinate of the point of inflection of the graph of g is: x = 2.5

To find the point of inflection of the graph of g, we need to find where the concavity of the graph changes.

Taking the derivative of g(x), we get:

g'(x) = d/dx ∫x^3(t^2 - 5t - 14)dt

Using the Fundamental Theorem of Calculus, we can evaluate this derivative as:

g'(x) = x^2 (x^2 - 5x - 14)

Now, to find where the concavity changes, we need to find where g''(x) = 0 or does not exist.

Taking the derivative of g'(x), we get:

g''(x) = d/dx (x^2 - 5x - 14) = 2x - 5

Setting g''(x) = 0, we get:

2x - 5 = 0

x = 2.5

This is the x-coordinate of the point of inflection of the graph of g.

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Jack ate 1/10 cup more strawberries than Leo

The problem states that Leo ate 3/5 cup of strawberries, and Jack ate 7/10 cup of strawberries. We need to find out how much more Jack ate than Leo.

To solve this problem, we first need to find a common denominator for the two fractions. The denominator is the bottom number of a fraction, which represents the total number of equal parts that make up a whole.

The smallest common denominator for 5 and 10 is 10. We can convert the fraction 3/5 into an equivalent fraction with a denominator of 10 by multiplying both the numerator and denominator by 2. This gives us 6/10.

Now, we have two fractions with the same denominator: 6/10 and 7/10. To find out how much more Jack ate than Leo, we can subtract the fraction representing what Leo ate from the fraction representing what Jack ate:

7/10 - 6/10 = 1/10

Therefore, Jack ate 1/10 cup more strawberries than Leo did.

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Answer:

7:40

Step-by-step explanation:

first driver(every 20 min)         second driver( every 25 min)

6:00                                            6:00

6:20                                            6:25

6:40                                             6:50

7:00                                             7:15

7:20                                             7:40

7:40

8:00

both have 7:40 so they will both stop then

a. The sampling method that I would use for the given scenario is stratified random sampling.

b. The sampling method that I would use for the given scenario is systematic sampling.

Stratified random sampling is the most effective way to get accurate results in this situation. The university wants to conduct a mail survey of its alumni to collect information about their current employment status to justify charging a higher tuition rate than other universities. Stratified random sampling divides the population into strata based on certain characteristics.

In this case, strata would be the alumni that have different degrees from the university. The information collected through this method will be more representative of the population than simple random sampling. It ensures that each stratum is represented accurately in the sample. It also minimizes the variability within each stratum. It is an effective way of ensuring that each stratum is properly represented.  

Systematic sampling involves selecting every kth element from a list of the population. In this situation, the Environmental Protection Agency (EPA) wants to inspect a sample of 1000 containers from the 40,000 containers known to be in landfills to determine if leakage from the containers has occurred. As the exact location of the containers is no longer known, systematic sampling can be used.

EPA can select every 40th container from the list of the population, as 40,000/1000 = 40. In this way, they will have a random sample of 1000 containers from the 40,000 containers. This sampling method is less time-consuming and more cost-effective than other sampling methods. It also ensures the sample is representative of the entire population.

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Answer:

The volume of a cone is calculated as 1/3πr²h, where r is the radius and h is the height. The volume of the cone-shaped popcorn container would be 1/3 * π * 6² * 19 ≈ 718.08 cm³.

The volume of a cylinder is calculated as πr²h, where r is the radius and h is the height. The volume of the cylinder-shaped popcorn container would be π * 4² * 15 ≈ 753.98 cm³.

So the cone-shaped popcorn container has a volume of approximately 718.08 cm³ and costs $6.75 while the cylinder-shaped popcorn container has a volume of approximately 753.98 cm³ and costs $6.25.

Step-by-step explanation:

Answer: he could watch a maximum of 6 movies with plan A and still pay the same but the better deal is plan B. I hope that this helps! :)

Step-by-step explanation:

The number of movies can Neil rent on either plan for one month and will cost the same amount will be 6.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A cable company offers two movie plans. Plan A costs $120 per month plus $5 per movie. Plan B costs $150 per month for unlimited movies.

Let 'x' be the number of movies and 'y' be the total amount. Then the equations are given as,

y = 5x + 120

y = 150

Determine the number of movies when the cost is the same. Then we have

5x + 120 = 150

5x = 150 - 120

5x = 30

x = 30 / 5

x = 6

The number of movies can Neil rent on either plan for one month and will cost the same amount will be 6.

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Answer:

y= 3/2 x -2

Step-by-step explanation:

I guess you want to find the y=mx+b form

So you do +3x on both sides which will gave you: 2y= 3x-4

Then, you will divide by two on both sides to find the y value: 2y/2 = (3x-4)/ 2

So 3/2 is the fraction like the answer above and -4/2 = -2

Hope that helps :)

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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a⋅(23)xa⋅( 32​ ) x,

where a = 3/2.

We will simplify the expression to show this.

Let's rewrite the given expression in the form a⋅(23)xa⋅( 32​ )

x:⇒ X( 32​ ) x+4 −( 32​ ) x

left parenthesis, start fraction, 2, divided by, 3, end fraction, right parenthesis, start superscript, x, plus, 4, end superscript, minus, left parenthesis, start fraction, 2, divided by, 3, end fraction, right parenthesis, start superscript, x, end superscript⇒

X[( 32​ ) x+4 /( 32​ ) x] × [(3/2)x / (3/2)x] - [(2/3)x / (2/3)x]

⇒ X[(2³/2²)x / 32³] × [(3/2)x / (2/3)x] - [(1/3)x / (2/3)x]

⇒ X[(2³/2²) × (3/2)x / (32³) × (2/3)x] - [(1/3)x / (2/3)x]

⇒ X[2(3x/2) / 2³x] - (1/2)

⇒ X[(23)xa] - (1/2)

Therefore, X( 32​ ) x+4 −( 32​ ) x left parenthesis, start fraction, 2, divided by, 3, end fraction, right parenthesis, start superscript, x, plus, 4, end superscript, minus, left parenthesis, start fraction, 2, divided by, 3, end fraction, right parenthesis, start superscript, x, end superscript as a⋅(23)xa⋅( 32​ ) x

where a = 3/2.

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There is a 9.1% chance that a chicken of this particular breed will lay 248 eggs in a year.

A normal distribution is a continuous probability distribution described by its mean (μ) and standard deviation (σ). The formula for a normal distribution is:

\(P(x) = (1/σ√2π) e^(-(x-μ)^2/2σ^2)\)

In this case, the mean (μ) is 225 and the standard deviation (σ) is 10.

To calculate the probability of a specific number of eggs being laid, we plug the mean and standard deviation into the normal distribution formula. For example, to calculate the probability of a chicken laying 248 eggs:

P(248) = 0.091

This means that there is a 9.1% chance that a chicken of this breed will lay 248 eggs in a year.

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