Twenty years from now, I will be 4 times as old as my present age. What isn’t present age?

Answer:

63.6 in²

Step-by-step explanation:

\(A(Circle)=\pi r^2\\A(Circle)=\pi (4.5)^2\\A(Circle)=\pi (20.25)\\A(Circle)=63.6\)

D) 0.19 is the probability that Kim will attend the party.

Given:

The probability terry attends is 0.31 and the probability chris attends is 0.5.

To find: Probability of kim attending the party

Concept :

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

The question here talks about exactly one of them attending the party so the sum of probability is equal to 1.

P(Terry) + P(Chris)+ P(Kim) = 1

0.31+0.5 + P(Kim) =1

P(Kim) = 0.19

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Answer:

Explanation:

Plato

Answer:

its 113.04

Step-by-step explanation:

took the test

Answer:

The second answer.

Step-by-step explanation:

An angle bisector splits the main angle into 2 equal parts.

Hope this helps:)

Answer:

the answer is B

Step-by-step explanation:

took the test on edge

Martha can make the following changes to correct her homework assignment:

Option 1: The first term, 5x3, can be eliminated.

Option 2: The constant, –3, can be changed to a variable.

According to the given question, Martha is supposed to make changes in her homework assignment. The changes that she can make to correct her homework assignment are as follows:

Option 1: The first term, 5x3, can be eliminated

In the given expression, the first term is 5x3.

Martha can eliminate this term if she thinks it's incorrect.

In that case, the expression will become:

2x² - 3

Option 2: The constant, –3, can be changed to a variable

Another possible change that Martha can make is to change the constant -3 to a variable.

In that case, the expression will become:

2x² - 3y

Option 1 and Option 2 are the two possible changes that Martha can make to correct her homework assignment.

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The maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

To determine the maximum price Matthew can pay for the car, we need to consider his repayment capability and the terms of the loan.

Matthew can make annual repayments of $35,000. Since the loan term is six years, the total amount he can repay over the loan period is $35,000 multiplied by six, which equals $210,000.

To calculate the maximum price of the car, we need to account for the interest rate of 9.25%. The interest rate represents the cost of borrowing and is applied to the loan amount.

Let's assume the loan amount is denoted by P.

The formula to calculate the future value of a loan with interest is:

FV = P(1 + r)^n

Where:

FV = Future value (total amount repaid)

P = Principal amount (maximum price of the car)

r = Interest rate per period (9.25% or 0.0925)

n = Number of periods (six years)

Since Matthew can repay a total of $210,000 over the loan period, we can set up the equation:

$210,000 = P(1 + 0.0925)^6

Now we can solve for P:

P = $210,000 / (1 + 0.0925)^6

Evaluating this expression, we find:

P ≈ $126,318.29

Therefore, the maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

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Answer:

The answer is 12                                

Step-by-step explanation:

2 x 12 + 1 = 25

Answer:

0.04268 or 4,27% have a good day

Greatest number that divides 300, 560 and 500 is 20 .

Given numbers : 300, 560 and 500

First let’s find prime factors of 300,560 and 500

300 = 2^2 *3^1 *5^2

560= 2^4 * 7^1 *5^1

500 = 2^2 * 5^3

So,

Here highest common power of 2 is 2

Here highest common power of 3 is 0

Here highest common power of 5 is 1

Here highest common power of 7 is 0

Thus HCF (300, 560 and 500) = 2^2 * 5^1 * 3 ^0 * 7 ^0

=4*5*1*1

= 20

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Hello! We can prove this with some statements, look:

• Notice that CD is parallel to AB;

• angle 1 ≅ angle 2

• M is the midpoint of AB;

Statement 1:

Reasoning 1:

As M is the midpoint of AB and we have two similar lines starting in M, we can divide the angle M into two equal angles m1 and m2.

definition of midpoint

Statement 2:

Reasoning 2:

As we already know that angle 1 ≅ angle 2, let's calculate the sum of the angles C and D, look:

angle C:

90º + angle 1

angle D:

90º + angle 2

so, 90º + angle 1 ≅ 90º + angle 2, it means that angle C ≅ angle D.

Statement 3:

Reasoning 3:

The sum of the internal angles of a triangle must be equal to 180º, right? So, knowing it we can say that angles A and B are equal, look:

m1 + A + C = m2 + B + D = 180º

remember, m1 ≅ m2 and C ≅ D, so A ≅ B too.

According to the explanation and image, we can prove that triangle CAM ≅ triangle DBM.

Table:

The equation of the line of best fit is y = 0.883x + 17.95.

We have,

To find the line of best fit, we want to find the equation of the line that comes closest to passing through all the points in the scatterplot.

One way to do this is to use linear regression analysis.

Using a calculator or statistical software,

We can find that the equation of the line of best fit for this data is:

y = 0.883x + 17.95

Thus,

The equation of the line of best fit is y = 0.883x + 17.95.

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Answer:

D: grade number and type of instrument

Step-by-step explanation:

Answer:

D. Got it right on edgenuity test

Step-by-step explanation:

Have a good day!!

Answer:

Step-by-step explanation:

The root which is 2 is the fractional portion of your exponent

\(\sqrt{x^{7} y^{12} }\)

=\((x^{7} y^{12} )^{\frac{1}{2} }\)              >You can distribute 1/2 to each term by multiplying

\(=x^{\frac{7}{2} } y^{6\)

Answer:

1.645 ft

Step-by-step explanation:

Divide the length of the board by the number of pieces it will be cut into

8.225/5=1.645 ft

Answer:

fourty-seven.......

Step-by-step explanation:

trust me

Answer:

28

Step-by-step explanation:

9+15+[14-10]

9+15+4

24+4

28

Answer:

b because the Orgin always start with 2 0s

The transformation T for a function g(x, y) can be represented as T(x, y) = (u, v) = (g1(x, y), g2(x, y)).Here, we have s = {(u, v) | 0 ≤ u ≤ 3, 0 ≤ v ≤ 2}; x = 2u 3v, y = u − v.

The transformation is given by x = 2u 3v, y = u − v .Let's solve it one by one. Transformation in u: x = 2u 3v2u = x/(3v)u = x/(6v)This gives the range of u as 0 ≤ u ≤ 3.Transformation in v: y = u − vv = u − y We have v ≤ 2.Substituting the value of u in terms of x and v: v = x/(6v) − yv2 = x/6 − 2y/2 = x/6 − y Thus, the range of v is 0 ≤ v ≤ x/6 − y ≤ 2.The transformation of set s under the given transformation is represented by T(s). The image of set s is defined as the set of all image points obtained from applying the transformation to each point in set s. T(s) is the set of all points (x, y) that satisfy the transformation T(x, y) = (u, v) and the conditions 0 ≤ u ≤ 3, 0 ≤ v ≤ x/6 − y ≤ 2.T(s) = {(x, y) | T(x, y) = (u, v); 0 ≤ u ≤ 3, 0 ≤ v ≤ x/6 − y ≤ 2}

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1) The sample size is 25.
2) A success is an American adult who says they have cheated on their taxes. The probability of success is 0.175 (17.5%).
3) We are looking for exactly 5 successes, so x = 5.
4) The appropriate calculator function is the binomial probability formula: P(x) = (n choose x) * p^x * (1-p)^(n-x). This formula is used because we have a fixed number of trials (25) with only two possible outcomes (success or failure), and the probability of success is constant for each trial.
5) Using the formula, we get P(5) = (25 choose 5) * 0.175^5 * (1-0.175)^(25-5) = 0.197.
6) We want to find the probability of less than 7 successes, so x = 0, 1, 2, 3, 4, 5, or 6.
7) The appropriate calculator function is the binomial cumulative distribution function. This function adds up the probabilities of all the possible outcomes from 0 to a given value of x.
8) Using the cumulative distribution function on a calculator or software, we get P(x<7) = 0.953.
9) We want to find the probability of at least 4 successes, so x = 4, 5, 6, ..., 25.
10) The appropriate calculator function is again the binomial cumulative distribution function, because we want to add up the probabilities of all the possible outcomes from 4 to 25.
11) We need to subtract the probability of getting 0, 1, 2, or 3 successes from 1, because 1 minus the probability of failure (less than 4 successes) gives us the probability of success (at least 4 successes).
12) Using the cumulative distribution function and subtraction, we get P(x≥4) = 1 - P(x<4) = 1 - 0.035 = 0.965.

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Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

Answer: the answer to this is true

Answer:

x is 12

Step-by-step explanation:

» From scalar properties:

\({ \tt{ \frac{FG}{FH} = \frac{AB}{AC} }} \\ \\ { \tt{ \frac{9}{6} = \frac{18}{x} }} \\ \\ { \tt{x = \frac{18 \times 6}{9} }} \\ \\ { \boxed{ \tt{ \: x = 12 \: }}}\)

You cannot find f * g because the functions have different domains

The functions are given as:

f = {(-1, 7), (1, 3), (3, 4), (6, 8), (7, 0)}

g = {(0, 10), (2, "-6)," (4, 7), (8, "-1)}

In the above function definitions. we have

Domain of f(x): -1, 1, 3, 6, 7

Domain of g(x): 0, 2, 4, 8

See that both functions have different domains

This means that you cannot find f * g because the functions have different domains

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Answer:

3/5 carrot juice for 1 cup apple juice and 2 cups of fruit juice

Have a great day

The cumulative distribution function (CDF) for the given random variable is plotted. To find probabilities, we calculate P[X≤2], P[X=0], P[X<0], and P[2<X≤3] using the CDF formula and integrating the probability density function (PDF) in the corresponding ranges.

a. The CDF is defined as F_X(x) = 0 for x < 0 and F_X(x) = 1 - (1/4)e^(-2x) for x ≥ 0. Plotting the CDF will show a step function that starts at 0 for x < 0 and approaches 1 as x increases.

b. i. P[X≤2] can be calculated by substituting x = 2 into the CDF: P[X≤2] = F_X(2) = 1 - (1/4)e^(-2*2) = 1 - (1/4)e^(-4).

  ii. P[X=0] represents the probability of the random variable taking the value 0. Since the given CDF is continuous, P[X=0] = P[X≤0] - P[X<0] = F_X(0) - lim(x→0-)F_X(x) = 1 - 0 = 1.

  iii. P[X<0] can be calculated by substituting x = 0 into the CDF: P[X<0] = F_X(0) = 0.

  iv. P[2<X≤3] can be obtained by subtracting P[X≤2] from P[X≤3]: P[2<X≤3] = P[X≤3] - P[X≤2] = F_X(3) - F_X(2) = (1 - (1/4)e^(-2*3)) - (1 - (1/4)e^(-2*2)).

These calculations provide the probabilities based on the given CDF for the specified ranges of the random variable X.

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Answer:

Step-by-step explanation:

The variance of the sum Z = X + Y is 5.

What is Variance?

A set of numerical data's spread or dispersion is measured by the term "variance." It describes the deviation of a data set's values from its mean (average). The variance indicates how evenly distributed the data is; conversely, the variance indicates how closely the data is grouped around the mean.

If X is a Poisson-distributed random variable with mean X = 3 and Y is a second Poisson-distributed random variable with mean Y = 2, and X and Y are independent, then the variance of the sum Z = X + Y is given by:

Var(Z) = Var(X) + Var(Y) = μX + μY = 3 + 2 = 5.

So, the variance of the sum Z = X + Y is 5.

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If y is a second Poisson distributed random variable with a mean of 2, and both x and y are independent Poisson distributed random variables, then the variance of the sum Z = X + Y is 5.

What is Variance?

A set of numerical data's spread or dispersion is measured by the term "variance." It describes the deviation of a data set's values from its mean (average). The variance indicates how evenly distributed the data is; conversely, the variance indicates how closely the data is grouped around the mean.

If X is a Poisson-distributed random variable with mean X = 3 and Y is a second Poisson-distributed random variable with mean Y = 2, and X and Y are independent, then the variance of the sum Z = X + Y is given by:

Var(Z) = Var(X) + Var(Y) = μX + μY = 3 + 2 = 5.

So, the variance of the sum Z = X + Y is 5.

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Answer:

x<2

Step-by-step explanation:

5<-5(3x-7)

divide by 5

1<-3x+7

3x<7-1

3x<6

x<2