Andrew and Sebastian are training for a weightlifting competition. In order to prepare, each of them has created their own personal training pian asidious

• Andrew will start off by lifting 50 pounds and will increase the weight he fifts by 10% each week

Sebastian will start off by lifting 40 pounds and will increase the weight he lifts by 10 pounds each week

Answer:

22%

Step-by-step explanation:

\(\frac{11}{50}\)  times 100% = 22%

On the other hand When the tangent to the graph is not unique that is more than one tangents can be drawn to the graph then that graph must represents a curve.

In other words when the slope is constant then it represents straight line and when the slope is variable then it represents a curve

Answer:33

Step-by-step explanation:

$50.00-(4. $2.75) = $50.00 - $11.00= $39.00

$39.00 / $1.18 =33

Answer:

33

Step-by-step explanation:

$50.00-(4. $2.75) = $50.00 - $11.00= $39.00

$39.00 / $1.18 =33

Answer:

390625

Step-by-step explanation:

Five multiplied by 5 8 times is rlly just 5^8

Answer:390,624

Step-by-step explanation:

5x5x5x5x5x5x5x5

The probability that exactly 5 out of 6 randomly selected Americans donated money to a charitable cause in 2021 is approximately 0.3931, or 39.31%.

The probability of a single American donating money to a charitable organization in 2021 is given as 81%. Therefore, the probability of an individual not donating is 1 - 0.81 = 0.19.

To calculate the probability of exactly 5 out of 6 Americans donating, we can use the binomial probability formula:

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

Where:

P(X = k) represents the probability of exactly k successes (donations).

(n C k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

p is the probability of success (donation) in a single trial.

(1 - p) represents the probability of failure (not donating) in a single trial.

n is the total number of trials (sample size).

In this case, n = 6, k = 5, p = 0.81, and (1 - p) = 0.19.

Plugging in these values, we can calculate the probability:

P(X = 5) = (6 C 5) * (0.81)^5 * (0.19)^(6 - 5)

P(X = 5) = 6 * (0.81)^5 * (0.19)^1

P(X = 5) = 0.3931

Therefore, the probability that exactly 5 out of 6 randomly selected Americans donated money to a charitable cause in 2021 is approximately 0.3931, or 39.31%.

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exponential

looking at the change in the graph

Answer:

2,562,300 Litres per year (Pls forgive me if I'm wrong, I was doing this quickly during class.)

Step-by-step explanation:

(Forgive the first part of the PDF, the answer is on the second page.)

-Hope this helped.

The square root of 36 is:

The principal square root is teh non-negative number.

Thus the principal square root is 6.

Answer:

option (c)

Step-by-step explanation:

Given,

ABCD is a square.

AC and BD are diagonals

We know that,

Sides of the square make 90 degrees with each other.

And Diagonals bisect the opposite angles of the square.

Now,

\(\angle ABD = \dfrac{\angle ABC}{2}\)

\(\angle ABC = 90^\circ\)

\(\angle ABD = \dfrac{\angle ABC}{2}\)

\(\angle ABD = \dfrac{90^\circ}{2}\)

\(\angle ABD = 45^\circ\)

Hence, option (c) is correct.

The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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The sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

What is sampling distribution ?

An example of a sampling distribution is a probability distribution of a statistic that is derived from repeated sampling of a particular population.            

                         It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.

Given,

Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325.

Simulation A will consist of 1500 trials with a sample size of 100.

Simulation B will consist of 2000 trials with a sample size of 50.

Center for Simulation A and Simulation B will be roughly equal.  

Overall Sample size of Simulation A will be

  = 1500 * 100  = 150000

Overall Sample size of Simulation B will be

 = 2000 *  50  =  100000

Hence, the sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

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The complete question is -

In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

The length of the given building is equal to 186ft

To calculate the length of the building whose shadow is 248ft, we can simply find the ratio of the height of Tim to his shadow and compare it with the building.

The ratio of the height to the shadow is 6:8

Or we can simply set it out as an equation, cross multiply and solve.

\(height = shadow length\)

Let's use this system to solve

\(height = shadow length\\6ft = 8ft\\x = 248\\\)

We can cross multiply here and solve for x

\(x = \frac{6 * 248}{8}\\x = 186ft\)

The height of the building is 186ft

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a. It should be noted that c(10) represents the number of cars sold in the 10th month.

b. c(16) - c(8) represents the number of cars sold in the 16th month minus the number of cars sold in the 8th month. This difference could represent the net change in the number of cars sold between those two months.

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. The process of evaluating a function is typically straightforward when we have the function in the form of a formula.

In this case, c(10) represents the number of cars sold in the 10th month.

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Answer:

864 ft³ is the volume

Step-by-step explanation:

Volume = width · height · length

= 12 · 9 · 8

= 864

Answer:

Step-by-step explanation:

Volume of rectangular solid = length * width * height

                                              = 9 * 12 * 8

                                              = 864 ft³

Answer:

B

Step-by-step explanation:according to my calculations it’s b

The solution is, Option B. f(x) = One-half(3)x.

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

from the given graph we get,

The function in the graph is an exponential growth function.

Therefore its equation is g(x)= 3^x

A transformation that shrinks this graph is of the form: f(x)= k* 3^x, where

0<k<1

From the given options, we must have

k=1/2

This implies that:

f(x)= 1/2 * 3^x.

Hence, The solution is, Option B. f(x) = One-half(3)x.

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Answer: 24 pages

Step-by-step explanation:

10 times 24 equals 240

Answer:

Janet has to read 24 pages.

Hallie has to read 240 pages.

Step-by-step explanation:

If Janet has to read n pages, then Hallie has to read 10×n.

Together they have to read 11 × n = 264 pages, so: n=264÷11=24.

Hope this helps

First, let's draw a sketch of the problem to better understand it:

Since the distances 20, 4√7 and x create a right triangle, we can use the Pythagorean theorem to calculate the value of x.

The Pythagorean theorem states that the length of the hypotenuse squared is equal to the sum of each leg squared.

So we have:

Therefore the wanted distance is 12√2 feet (16.97 ft).

Answer:

The method of separation is chromatography.

Step-by-step explanation:

It is given that a drawing of a circle made in the center of a piece of paper with a black marker gets wet, the marker bleeds, and as the water moves through the paper the ink separates into several colors. Here, the method of  separation used is chromatography. It is a laboratory technique for the separation of a mixture. When water or dye passes through a medium and changes color, then that means chromatography is used there.

Answer:

D. chromatography

Step-by-step explanation:

edge 2020/21

Answer:

The co-ordinates of B are ( 7,1)

Step-by-step explanation:

Step(i):-

Given that 'M' is the midpoint of AB

Given co-ordinate points are A(-1,5) and midpoint M(3,3)

we know that the midpoint formula

\(midpoint = (\frac{x_{1} +x_{2} }{2} ,\frac{y_{1}+y_{2} }{2} )\)

\((3,3) = (\frac{-1+x_{2} }{2} ,\frac{5+y_{2} }{2} )\)

Step(ii):-

Equating

        \(3 = \frac{-1+x_{2} }{2}\)      and   \(\frac{5+y_{2} }{2} = 3\)

cross multiplication, we get

     6 = -1 + x₂    and  6 = 5 +y₂

     x₂ = 6+1        and y₂ = 6-5

    x₂  = 7         and    y₂ = 1

Final answer:-

The co-ordinates of B are ( 7,1)

The statement "There is a 60 percent chance of rain and a 40 percent chance of pure sunshine" illustrates the definition of a probability distribution.

A probability distribution is a function that describes the likelihood of different outcomes in a random event or experiment. It assigns probabilities to each possible outcome, where the probabilities add up to 1 (or 100%).

In the given options, the statement "There is a 60 percent chance of rain and a 40 percent chance of pure sunshine" is a clear example of a probability distribution because it assigns probabilities to two possible outcomes - rain and sunshine - with a total probability of 1. Specifically, the statement is saying that there is a 60% chance of rain and a 40% chance of sunshine. This statement describes the likelihood of different outcomes for the weather, making it an example of a probability distribution.

The other two statements do not illustrate a probability distribution because they only provide information about specific events that have already occurred (i.e., "it rained three-quarters of the day yesterday" and "the sun is shining today and is supposed to shine tomorrow") or possible events that may occur in the future without any mention of their likelihood (i.e., "it may snow either today or tomorrow").

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Using an exponential function, it is found that the amounts deposited at the end of each month are given by:

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

In this problem, we have that A(0) = 100, r = 0.1, hence the equation for the amount deposited after t months is:

\(A(t) = 100(1.1)^t\)

Then, for each of the first four months:

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Answer:

2(x - 5)(x + 5)

Step-by-step explanation:

Common factor

2² − 50

2(² − 25)

Use the sum-product pattern

2(² − 25)

2(2² + 5 − 5 − 25)

Common factor from the two pairs

2(² + 5 − 5 − 25)

2(( + 5) − 5( + 5))

Rewrite in factored form

2(( + 5) − 5( + 5))

2( − 5)( + 5)

Solution

2( − 5)( + 5)

Answer:

Explained below!

Step-by-step explanation:

One green point should be on (0, -9) then the other green point should be on (1, -5). The line should be going up

Answer:

A

Step-by-step explanation:

11.4-15.7 = -4.3

Answer:

A. -4.3 F

Step-by-step explanation:

Originally you started with 11.4 F, and the question said it decreased by 15.7 F so that basically means you subtract the final condition from initial,

11.4 F - 15.7 = -4.3 F, so at night it was -4.3 F cold.

If you think about this question in terms of apples. Originally I gave you 12 apples to keep for a day. When I returned home at 7pm the numbers of apples decreased by 8. So bascially my final apples will be 12- 8 = 4 apples remaining.

The required area of the circle is 50.24cm².

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

So, we have the circumference:

8π

Now, calculate for π as follows using the circumference formula (2πr):

8π = 2πr

8π/2π = r

4 = r

Now, calculate the area when r = 4cm (πr²) as follows:

πr²

π(4)²

16π

50.24

Therefore, the required area of the circle is 50.24cm².

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Complete question:
The circumference of a circle is 8π cm. what is the area in square centimeters?

The expected value was already calculated as:

The expected value is the mean value you would get per try.

Since we played 623, the expected value is 623 times the expected valu for a single play, so:

So, the expected value after playing 623 times is to -$2012.29, that is, lose $2012.29.

If the partial derivative is equal to zero for all values of x then it indicates that the function is constant.

What is a partial derivative?

In differential calculus, partial derivative is defined as the rate of change of multivariable functions concerning change in just one of its variables.

Consider the restriction of f to a line y=c,

then

\( \frac{∂f}{∂x}(x \: c) = fx(f \: c) = 0\)

Pick 2 points a and b, then by mean value theorem there is x0, such that

\(fx(x \: c) = \frac{f(b \: c) - f(a \: c)}{b - a} = 0\)

\(⟹f(b \: c) - f( \: a \: c) = 0⟹f(b \: c) = f(a \: c)⟹f(x \: c) = const.\)

We can show the same way that f(c,y)=const.

Combining f(x,c)=const and f(c,y)=const to get f(x, y)=const.

Hence, If the partial derivative is equal to zero for all values of x then it indicates that the function is constant.

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Therefore, the equation of the tangent line to the curve xe^y + ye^x = 2 at the point (0, 2) is y = -x + 2.

To find an equation of the tangent line to the curve xe^y + ye^x = 2 at the point (0, 2), we need to use the concept of differentiation.

First, we differentiate both sides of the equation with respect to x using the product rule and the chain rule:

(d/dx)[xe^y] + (d/dx)[ye^x] = (d/dx)[2]

e^y + xe^y(dy/dx) + e^x(dy/dx) + ye^x = 0

Simplifying this expression and evaluating it at the point (0, 2), where x = 0 and y = 1, we get:

e^1 + 0 + e^0(dy/dx) + 2e^0 = 0

dy/dx = -1

Therefore, the slope of the tangent line at the point (0, 2) is -1.

Next, we can use the point-slope form of a line to find the equation of the tangent line. We know the slope is -1 and the point (0, 2) lies on the line, so we can write:

y - 2 = -1(x - 0)

Simplifying this expression, we get:

y = -x + 2

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Answer:

Its B!

Step-by-step explanation:

Just passed on edge 2020

The interval between which the sales of the Marcus were constant was (0, 5) to (5, 6) and (5, 6) to (6, 12)

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given, Marcus tracked the changes in his sales over a 12- month period.

we need to find at which interval was the change in Marcus's sales constant.

First we need to plot the graph, the points given to us will show us the sale of Marcus from the beginning to the end.

The rapid increment is  in the number of sales for that period of time is  (0, 4) and (0, 5) as we can see a straight line.

Line between point (0, 5) and (5, 6), there is a slant line therefore, which shows that were slow and constant growth in the sale of Marcus as the line is increasing upwards.

The line between the points (5, 6) and (6, 12) is also a slant line but the slope of the line is high than the previous line for points  (0, 5) and (5, 6).

Constant growth between these two points and this growth was also constant but it was more rapid as compared to sales between the point (0, 5) and (5, 6).

Therefore the interval between which the sales of the Marcus were constant was (0, 5) to (5, 6) and (5, 6) to (6, 12)

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