What is p^m divided p^n

Answer:

it is 11 pages per hour

Step-by-step explanation:

so if you have 11 in a hour it should be 11 pages per hour

48 cubes takes to fill the given prism. This can be solved using the concept of multiplication.

Identical at both ends, a prism is a three-dimensional solid object. It is a result of the elements of flat sides, similar bases, and equal cross-sections. Parallelograms or rectangles without bases make up the prism's faces. A three-dimensional structure with flat sides is known as a prism. Two identically shaped and sized ends are present (and look like a 2D shape). If you cut through it, you would see the identical 2D form on both ends since it has the same cross-section all the way down the shape.

Given that,

the length of the prism is \(\frac{8}{3}\) cm, and  it is made up of eight \(\frac{1}{3}\) cm cubes

The width is \(\frac{3}{3}\) cm, so it is made up 3 rows of \(\frac{1}{3}\) cm cubes

That means the bottom layer of cubes is made up of 3 rows of 8 cubes = 3 × 8 = 24

∴ the bottom layer is made of 24 cubes

The height is \(\frac{2}{3}\) cm, so it is made up of 2 layers of \(\frac{1}{3}\) cm cubes.

So, there are 2 layers of 24 cubes

∴ 48 cubes takes to fill the given prism.

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Answer:

The answer is the photo

Step-by-step explanation:

To graph this, put the point on 3.

The equation is m < 3 which means m is less than 3 so the line goes to the left as whatever the number is, it would be on the left of 3.

For k > 1, Chebyshev's theorem is useful in estimating the proportion of observations that fall within k standard deviations of the mean.

Specifically, Chebyshev's theorem states that for any distribution (regardless of shape), at least (1 - 1/k^2) of the observations fall within k standard deviations of the mean.

For example, if we use k = 2, then at least 75% of the observations will fall within 2 standard deviations of the mean (because 1 - 1/2^2 = 0.75).

If we use k = 3, then at least 88.9% of the observations will fall within 3 standard deviations of the mean (because 1 - 1/3^2 = 0.8889).

However, it's important to note that Chebyshev's theorem gives only a lower bound on the proportion of observations that fall within k standard deviations of the mean, and the actual proportion can be much higher in many cases, especially for distributions that are close to normal.

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Answer and Step-by-step explanation:

We are given:

\(\frac{2y-1}{-3} = 5\)

First, we multiply both sides by -3.

2y - 1 = 15

Now we add 1 to both sides.

2y = 16

Finally, we divide by 2 to each side.

y = 8

We are given:

2x + 30 = -4(5x -2)

First we distribute the -4 to 5x and -2.

2x + 30 = -20x + 8

Now we subtract 8 from both sides.

2x + 22 = -20x

Now we subtract 2x from both sides.

22 = -22x

Finally, we divide by -22 to both sides.

-1 = x

  Statements:                             Reasons:

             Given

  2y - 1 = 15                Multiplication Property of Equality

  2y = 16                       Addition like terms

  y = 8                                         Division Property of Equality

  Statements:                             Reasons:

2x + 30 = -4(5x -2)    Given

  2x + 30 = -20x + 8                Distribution Property of Equality

  2x + 22 = -20x           Subtraction Property of Equality

  22 = -22x                                 Subtraction Property of Equality

  -1 = x                                         Division Property of Equality

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Answer:

38

Step-by-step explanation:

She makes 17 bags an hour. Multiply 17 bags by each hour. Additionally, multiply that by 5 for each day worked. The total number is 510.

Out of 510 bags made in that week, only 90% are perfect. 90% of 510 is 459.

If there are 459 bags, and each box can hold 12, how many boxes will be full?  Keep adding bags into boxes until you reach 0 bags. The equation you'll want is 459/12.

38 boxes will be full, with 3 remainder bags.

There are a total of $15^5 = 759,375$ distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, in order.

To find the number of distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, we need to consider the range of numbers that can be placed in the diagonal.

In the given BINGO card, the diagonal starts with the number 5 in the top left corner and ends with the number 71 in the bottom right corner. We can see that the numbers in the diagonal follow a pattern:

5, 17, 32, 49, 71

We can analyze this pattern to find the number of distinct possibilities.

- The first number, 5, can be any number from the set $1-15$.
- The second number, 17, can be any number from the set $16-30$.
- The third number, 32, can be any number from the set $31-45$.
- The fourth number, 49, can be any number from the set $46-60$.
- The fifth number, 71, can be any number from the set $61-75$.

To find the number of distinct possibilities, we multiply the number of choices for each position:

15 choices for the first number × 15 choices for the second number × 15 choices for the third number × 15 choices for the fourth number × 15 choices for the fifth number

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Answer:

10

Step-by-step explanation:

by Pythagoras theorem,

PR^2=PQ^2+PR^2

Therefore,PR=√(PQ^2+PR^2)

=√(6^2+8^2)

=√100

=10

Answer:

\(( \frac{4x}{y})^{2}\)

Step-by-step explanation:

Answer:

785

Step-by-step explanation:

did the math in a calculator I got yoy

Answer:

D. 785

Step-by-step explanation:

the formula to find the surface area of a cylinder is A=2πrh+2πr^2

the diameter is a straight line through the center of a figure so half of that would be the radius and our diameter is 10 so the radius is 5

our height is 20 so now we put it into the equation it will look like this

2·π·5·20+2·π·5^2

once you do the math you will get 785.39816

3 positive 1 positive

Step-by-step explanation:

D goes 3 units right and it get to 3 Positive and then two units down gets you to 3 Positive and 1 Positive 3,1

The mean accurately summarize a normal distribution because it is the center point. While the mean inaccurately summarize a skewed distribution because the mean is meant to balance the distribution with a tail, it is pulled to a tail and therefore the mean would not be in the center.

The mean is the mathematical average and it is probably the measure of central tendency that is most familiar. One can calculate the mean by adding all the values and dividing it with the total number of observations in a set of data. The normal distribution of mean is observed when the distribution of data near the mean are more frequent in occurrence than data far from the mean, it is also referred as Gaussian distribution. Skewed distribution is not symmetrical nor equal, it is deviated in one or the other side of the graph.

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Answer:

B is the correct answer

Step-by-step explanation:

Answer:

y=-3

Step-by-step explanation:

The probability of getting exactly 3 successes (p(x)) in 5 independent trials, each with a probability of success (p) of 0.3, is approximately 0.1323, or 13.23%.

To find the probability of getting exactly x successes (p(x)) in n independent trials, each with a probability of success (p) using the binomial probability formula, we can follow these steps:

Step 1: Identify the values:

n = 5 (number of trials)

x = 3 (number of successes)

p = 0.3 (probability of success on a given trial)

Step 2: Apply the binomial probability formula:

The binomial probability formula is given by:

p(x) = (nCx) * (p^x) * ((1 - p)^(n - x))

Step 3: Calculate the values:

nCx represents the number of ways to choose x successes from n trials and can be calculated using the combination formula:

nCx = n! / (x! * (n - x)!)

In our case, n = 5 and x = 3, so:

nC3 = 5! / (3! * (5 - 3)!)

= 5! / (3! * 2!)

= (5 * 4 * 3!) / (3! * 2 * 1)

= (5 * 4) / (2 * 1)

= 10

Now we can substitute the values into the binomial probability formula:

p(3) = (10) * (0.3^3) * ((1 - 0.3)^(5 - 3))

= 10 * (0.3^3) * (0.7^2)

= 10 * (0.027) * (0.49)

= 0.1323

Step 4: Final Answer:

Therefore, the probability of getting exactly 3 successes (p(x)) in 5 independent trials, each with a probability of success of 0.3, is 0.1323, or approximately 13.23%.

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Answer:

Step-by-step explanation:

B

The x-intercepts of the parabola are approximately (0.8, 0) and (2.2, 0).

A parabola is a symmetrical curve with a U- or smile-shaped shape. It is a particular kind of conic section, a shape created by cutting a cone with a plane.

The set of all points in a plane that are equally distant from a fixed point (referred to as the focus) and a fixed line is known as a parabola (called the directrix).

To find the y-intercept of a parabola, we can set x=0 and solve for y.

y = x² - 3x + 7/4

When x=0:

y = (0)² - 3(0) + 7/4 = 7/4

So the y-intercept of the parabola is (0, 7/4).

To find the x-intercepts, we can set y=0 and solve for x:

0 = x² - 3x + 7/4

We can solve this quadratic equation using the quadratic formula:

\(x = \dfrac{[ -(-3) \pm\sqrt{( (-3^2- 4(1)(\dfrac{7}{4})} ) ]} { (2x_1)}\)

\(x = \dfrac{[ 3 \pm \sqrt{( 9 - 7 )} ]} {2}\)

\(x =\dfrac{ [ 3 \pm \sqrt{(2)} ]} { 2}\)

So the x-intercepts of the parabola are approximately (0.8, 0) and (2.2, 0).

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Answer:

This is a "strategic" guess

Step-by-step explanation:

I think it is -0.1

Answer:

D does not show an equivalent rate

Step-by-step explanation:

we first need to find out how many words typed per minute so we divide 75 by 3 (3 divided by 3 is 1 and what we do to one side must be done to the other)

75 ÷ 3 = 25

25 word per 1 minute

now we need to multiply the minute by 25 to get the number of words typed

25(words) x 1(minute) = 25 words in 1 minute(so A is correct)

25(words) x 2(minute) = 50 words in 2 minutes(so B is correct)

25(words) x 4(minute) = 100 words in 4 minutes (so C is correct)

25(words) x 5(minute) = 125 words in 5 minutes(so D is incorrect)

By using  Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is  ln(sqrt(x + x^3)).  The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is  ln(1 + x^2).

The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.

So, applying this theorem, we have:

g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]

= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)

= ln(sqrt(x + x^3))

Therefore, g'(x) = ln(sqrt(x + x^3)).

Using the Fundamental Theorem of Calculus, we have:

g'(x) = d/dx [∫1_x ln(1 + t^2) dt]

= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)

= ln(1 + x^2)

Therefore, g'(x) = ln(1 + x^2).

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____The given question is incomplete, the complete question is given below:

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0.  8. g(x) = { In (1+t^2) dt} where limit are from x to 1.

Answer:

A

Step-by-step explanation:

5 is the hypotenuse, 3  is the opposite side, and 4 is the adjacent side. Thus, the cosine of A is adjacent/hypotenuse, hence 4/5.

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

\(V = a^2h\\\\4096 = a^2 h ..... (1)\)

surface area of the solid  

\(S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches\)

So, h = 40.2 inches

The number of different possible orders that are there for the group is  15504 .

In the question ,

it is given that ,

total number of friends = 5 ,

the number of dishes that restaurant offers for dinner = 20 dishes .

It is given that, group collectively orders 5 different dishes to share and waiter just needs to place all 5 dishes in the center of the table.

So , the 5 dishes from the 20 dishes can be selected in ²⁰C₅ ways .

²⁰C₅ = 20!/(15! * 5!)

= 20*19*18*17*16*15! / (15! * 5!)

= (20*19*18*17*16)/(5*4*3*2*1)

Simplifying Further , we get

= 1860480/120

= 15504 ways

Therefore , There are 15504 possible orders for the group .

The given question is incomplete , the complete question is

A group of five friends go to a restaurant for dinner. the restaurant offers 20 different main dishes. Suppose that the group collectively orders five different dishes to share. the waiter just needs to place all five dishes in the center of the table. how many different possible orders are there for the group ?

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It could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

The most accurate interpretation of the given confidence interval is as follows:

We are 95% confident that the true difference in mean wait time between Facility A and Facility B falls within the range of 0.32 minutes to 1.47 minutes.

This means that if we were to repeat the study multiple times and calculate a new confidence interval each time, we would expect that approximately 95% of those intervals would contain the true difference in mean wait time between the two facilities.

Furthermore, based on the observed data and the calculated confidence interval, we can conclude that the difference in mean wait time between Facility A and Facility B is likely to be positive, with Facility B having a higher mean wait time than Facility A. However, we cannot say with certainty that the true difference is exactly within this specific range; it could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

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Answer:

x = 3

Step-by-step explanation:

In order to solve, you have to do the opposite of positive 12 by subtracting it on both sides, to get x = 3.

Hope this helps :)