What's the product of (3x^2y)*(-4xy^3)

Therefore, one container can hold 20/9 tons of sugar.

To simplify this expression, we can convert the mixed number 3 3/5 to an improper fraction:

3 3/5 = (5*3 + 3)/5 = 18/5

So the expression becomes:

8 tons / (18/5) containers

To divide by a fraction, we can multiply by its reciprocal:

8 tons / (18/5) containers = 8 tons * (5/18) containers

Now we can simplify the expression and solve for the amount of sugar in one container:

8 tons * (5/18) containers = 40/18 tons/container = 20/9 tons/container

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Answer:

Sin A = 5/13; tan C = 12/5

Step-by-step explanation:

Sin = opposite / hypotenuse. The opposite of A is 5, and the hypotenuse is 13, therefore Sin A = 5/13.

Tan = opposite / adjacent. The opposite of C is 12, and the adjacent is 5, so tan C = 12 / 5

Answer:

£14,168

Step-by-step explanation:

Answer:

Radius=141.72 Diameter=283.44

Step-by-step explanation:

Use c=2pir to find the radius. So your c is 148 and your pi is 3.14. (148=2(3.14)(r)). distribute. (148=6.28r) Get r by itself so subtract 6.28. (141.72=r). That is your radius. To find you diameter multiply your radius (141.72) by 2. d=283.44.

Hope this helped!

The correct statement about coefficient determination is option (d) The interpretation is that 84% of the variation in the dependent variable can be explained by the variation in the independent variable

The coefficient of determination takes values between 0 and 1. A value of 0 means that the independent variable does not explain any variability in the dependent variable, while a value of 1 means that the independent variable explains all the variability in the dependent variable.

To summarize, the coefficient of determination, r², is a measure of determination that indicates the proportion of variation in the dependent variable that can be explained by the variation in the independent variable.

In this case, an r² value of 0.84 indicates a strong relationship between the independent and dependent variables, and 84% of the variability in the dependent variable can be explained by the variation in the independent variable.

Therefore, the correct option is (d).

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The required number of ways is 38,760.

To solve the problem we have to follow the given steps:

Step 1: Choose one person to be the chair of the subcommittee. This can be done in 20 ways.

Step 2: Choose the remaining four members of the subcommittee from the remaining 19 people. This can be done in 19C4 ways.

Step 3: Multiply the number of ways in step 1 and step 2 to get the total number of ways to choose a subcommittee of five people with one person designated as the chair of the subcommittee.

So, the total number of ways to choose a subcommittee of five people with one person designated as the chair of the subcommittee is:

20 × 19C4 = 20 × (19!/4!15!) = 38,760 ways.

Hence, the required number of ways is 38,760.

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The total distance traveled by both people is 48 miles + 6 miles = 54 miles.

Two people travel a total distance of 54 miles in 3 hours. One person rides a bike at 16 mi/h, covering 48 miles, while the other walks at 3 mi/h, covering 6 miles.

In 3 hours, the person riding the bike travels at a speed of 16 mi/h, covering a distance of 16 mi/h * 3 h = 48 miles.

The person walking at a speed of 3 mi/h covers a distance of 3 mi/h * 3 h = 9 miles.

Therefore, the total distance traveled by both people is 48 miles + 6 miles = 54 miles.

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Answer and explanation

as z= 7

3z -3

3(7) -3 =21-3 =18

Answer:

a. 44 cm b. 126 cm

Step-by-step explanation:

a. it is semi circle

perimeter is πd

22/7*14

44 cm

b. it is equilateral triangle

so perimeter is side* 3

42 *3 = 126cm

Answer:

Step-by-step explanation:

(a)

The figure perimeter it is half of a circle with a diameter d₁=14 cm and two halfs of circle with a diameter d₂=14 cm÷2=7 cm.

The length of a circle is  L₀ = πd, where d is the diameter.

Therefore:

\(\bold{L=\frac12d_1+2\cdot\frac12d_2 = \frac12\cdot14\pi+\frac12\cdot2\cdot7\pi=14\pi\,cm\approx44\,cm}\)

(b)

A full circle it is 360°, so the circle sector of 60° is  \(\frac{60^o}{360^o}=\frac16\)  of the circle. So the arc of 60° is ¹/₆ of the full circle length.

The figure is an equilateral triangle and two 60°-sectors of circles with radiuses of length of the triangle's side (r=42 cm).

Its perimetr it's two radiuses, two arcs of 60° and one side of the triangle.

The length of a circle is  L₀ = 2πr, where r is a radius.

Therefore:

\(\bold{L=2r+2\cdot\frac16\cdot 2\pi r+r=3r+\frac23\pi r}\\\\\bold{L=3\cdot42+\frac23\pi\cdot42=(126+28\pi)\,cm\approx214\,cm}\)

Step-by-step explanation:

You can actually factorise this equation like how you factorise quadratic equations,

LHS = sin⁴a + 2sin²a cos²a + cos⁴a

= (sin²a + cos²a)²

Again, by using the identity sin²a + cos ²a = 1,

= (1)²

= 1

= RHS (Proven)

Answer:

$15087.27

Step-by-step explanation:

When you read word problems you should always read over it several times, look for key words, and possibly even write down the known facts.

First add up Celine's earnings:

1250(11)=6105

6105+8250=14355

Since Celine has +525 more than Abbas you have to subtract:

14355-525=13830

Since we want the yearly income we divide it to get the monthly income:

13830/11=1257.27272727

Next multiply by 12 to get the answer:

1257.27272727(12)=15087.2727273

They will probably want it simplified to $15087.27.

                  Hope this helps:)

Answer:

Im assuming you wrote a hypothesis or experimented or something, the "..." is where you write whatever your talking about I hope this helps :)

Step-by-step explanation:

My estimates would have changed to get a more accurate answer if I had previously known that.... would affect.... My estimate would have been...... because.....

Answer:

5/6>2/4

Step-by-step explanation:

5/6 is greater than 2/4

Answer:

2 dolllars

Step-by-step explanation:

Answer: $2

Step-by-step explanation: 0.05*10=0.50

2÷0.50=4 0.50*4=2

The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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The probability that a gorilla will live longer than 26 years is between 15.8 and 24.2 years.

Likelihood is the part of science concerning mathematical portrayals of how likely an occasion is to happen, or how likely it is that a recommendation is valid.

P (A) is the probability of an event “A”

n (A) is the number of favorable outcomes

n (S) is the total number of events in the sample space

The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 shows difficulty of the occasion and 1 demonstrates conviction. The higher the likelihood of an occasion, the almost certain it is that the occasion will happen. A straightforward model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly likely; the likelihood of "heads" approaches the likelihood of "tails"; and since no different results are conceivable, the likelihood of by the same token "heads" or "tails" is 1/2.

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Answer:

x = 6 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2+ x^2 = 12^2

36 + x^2 = 144

Subtract 36 from each side

x^2 = 144-36

x^2 =108

Take the square root of each side

sqrt(x^2) = sqrt(108)

x = sqrt(36*3)

x = 6 sqrt(3)

Where the above conditions exist,

The random variable T = L + C represents the total time it takes Lorelei and Chance to finish a randomly selected 3-layer wedding cake. Since L and C are independent and Normally distributed, T is also Normally distributed with mean:

Mu_T = Mu_L + Mu_C = 37 + 52 = 89

and variance:

Var(T) = Var(L) + Var(C) = 12^2 + 7^2 = 193

So the standard deviation of T is:

Sigma_T = sqrt(Var(T)) = sqrt(193) = 13.89

The shape of T is also Normally distributed, since it is a sum of two independent Normally distributed variables.

To find the probability that Lorelei and Chance finish a randomly selected 3-layer wedding cake in under 90 minutes, we need to calculate the z-score for this value and then find the corresponding probability from the z-table. The z-score is:

z = (90 - 89) / 13.89

= 0.072

From the z-table, we find that the probability of a Z-score less than or equal to 0.072 is 0.5287.

Therefore, the probability that Lorelei and Chance totally finish a randomly selected 3-layer wedding cake in under 90 minutes is 0.5287 or approximately 53%.

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Answer:

200

Step-by-step explanation:

If the number is divisible by 5, then the last digit should be either 5 or 0.

First digit is fixed.

Second digit can be 10 ways.

Third digit can be 10 ways.

Fourth digit can be 2 ways.

So total number of digits 1 x 10 x 10 x 2 = 200

Answer:

I don't understand what your asking here.

Your translation: From the result obtained; with

Step-by-step explanation:

Answer:

8z + 20

Step-by-step explanation:

f(z) = 4(2z+5)

     = 4*2z + 5*4

     = 8z + 20

Answer:

$0.50

Step-by-step explanation:

We know

A package of 8 hot dogs is on sale for $4

What is the price per hot dog?

4 / 8 = $0.50

So, the price per hot dog is $0.50

Answer:

1) 2016

2) 50400

Step-by-step explanation:

First, find the numbers we need

H = 3

A = 5

total = 8

put them in the right order and calculate

8!/5!(3!) = 2016

do the same for question 2

S = 3

T = 3

A = 1

I = 2

C = 1

total  = 10

10!/(3!)(3!)(2!) = 50400

To simplify the expression $4(x^2-2x+2)-7(x^3-3x+1)$, we need to distribute the coefficients and combine like terms.

First, let's simplify the terms within the parentheses:

$x^2-2x+2$ remains unchanged, and $x^3-3x+1$ remains unchanged.

Now, let's distribute the coefficients:

$4(x^2-2x+2)$ becomes $4x^2-8x+8$,

and $-7(x^3-3x+1)$ becomes $-7x^3+21x-7$.

Next, let's combine like terms:

The expression becomes $4x^2-8x+8-7x^3+21x-7$.

Finally, let's rearrange the terms in descending order of exponents:

The simplified expression is $-7x^3+4x^2+13x+1$.

To find the sum of the squares of the coefficients, we square each coefficient and add them up:

$(-7)^2 + 4^2 + 13^2 + 1^2 = 49 + 16 + 169 + 1 = 235$.

Therefore, the sum of the squares of the coefficients of the terms in the simplified expression is 235.

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Answer:

y=(x+1/2)^2-21/4

Step-by-step explanation:

Answer:

option a is correct

Step-by-step explanation:

step 1:

3 (C+2)+11

step 2:

3C+6+11

step 3:

3C+17

hope it helped you:)

The distribution of scores in a population is expected to be more variable than the distribution of sample means based on random samples of 25 cases from this population.

The distribution of scores in a population refers to the spread of scores in the entire population.

Population refers to the entire group of individuals, events, or things from which the sample or data is taken from. In population data, the variability or differences between the scores of the entire population is expected to be larger and wider.

The size of the distribution is determined by the range of scores, which can be further illustrated by the interquartile range, variance, and standard deviation. The distribution of sample means based on random samples of 25 cases from this population:

This refers to the distribution of the means of samples of the same size taken from the population. In this case, the sample means are based on random samples of 25 cases taken from the population. The variability of the sample means is referred to as the standard error of the mean (SEM) and is calculated as the standard deviation divided by the square root of the sample size (n).

When the sample means are drawn from the population, the sample means are expected to be less variable than the entire population because they are based on random samples and therefore are likely to be more representative of the population.

Since the sample means are less variable, the distribution of sample means will be narrower than the population distribution and will tend to be normally distributed with a mean equal to the population mean.

Therefore, we expect the distribution of scores in a population to be more variable than the distribution of sample means based on random samples of 25 cases from this population.

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0.0764 is the probability that the scores differ by 5 or more points in either direction

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

According to the information, the mean and standard deviation of "X" are:

μ(X) = 24

σ (X) = 2

We have to find the probability the scores differ by 5 or more points on either direction.

Consider X₁ and X₂ as the random variable, which showing the scores of Leon and Fred.

D = X₁ - X₂

According to the information the two scores are independent

The mean of μ(D) = 0

The standard deviation σ(D) = 2.828

Let's standardize D = -5

z = [x - μ(D)] /  σ(D)

z = - 1.77

Let's standardize D = 5

z = [x - μ(D)] /  σ(D)

z = 1.77

Using a table of typical normal probabilities as a guide:

= P (D ≤ -5) or P (D ≥ 5)

= P (z ≤ -1.77) + P (z ≥ 1.77)

= P (z ≥ 1.77) + P (z ≥ 1.77)

= 2P (z ≥ 1.77)
= 2(1 - P (z ≤ 1.77))

= 2 (1 - 0.9618)

= 0.0764

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