Solve the equation by doing the inverse operation to work backwards
x+13=25

Answer:

Step-by-step explanation:

Given μA = $2.78, σA = $0.25, μB = $2.45, σB = $0.20, you want ...

The probabilities of interest are found using the CDF function of a suitable calculator or spreadsheet.

(a) P(A < $2.50) ≈ 0.1314

(b) P(B < $2.50) ≈ 59.87%

(c) P(B > $2.78) ≈ 0.0495

__

Additional comment

We note that you have provided your own answers to these questions. The answer you give for question B is not given as the percentage requested.

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The probability that a senior takes the bus to school every day, given that he or she has a driver's license, is approximately 17%.

To find the probability that a senior takes the bus to school every day given that he or she has a driver's license, we can use conditional probability.

Let's denote the event that a senior has a driver's license as A and the event that a senior takes the bus to school every day as B. We want to find the probability of event B given event A, denoted as P(B|A).

We are given the following information:

The conditional probability formula states that P(B|A) = P(A ∩ B) / P(A).

Substituting the given values, we have:

P(B|A) = P(A ∩ B) / P(A) = 0.14 / 0.84 ≈ 0.1667

To the nearest whole percent, the probability that a senior takes the bus to school every day, given that he or she has a driver's license, is approximately 17%.

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The probability that a senior takes the bus to school every day, given that he or she has a driver’s license, is 17%.

To find the probability that a senior takes the bus to school every day, given that he or she has a driver’s license, we need to use the concept of conditional probability. Conditional probability is the probability of one event happening given that another event has already occurred. In this case, we want to find the probability of taking the bus to school every day, given that the student has a driver’s license.

We can use the formula:

P(A|B) = P(A and B) / P(B)

where P(A|B) is the probability of event A happening given that event B has happened, P(A and B) is the probability of both events A and B happening, and P(B) is the probability of event B happening.

In the given problem, 84% of the seniors have driver’s licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have driver’s licenses and take the bus to school every day. We want to find the probability of taking the bus every day, given that the student has a driver’s license.

Plugging in the values into the formula:

P(Taking the bus every day | Having a driver’s license) = P(Taking the bus every day and Having a driver’s license) / P(Having a driver’s license)

P(Taking the bus every day | Having a driver’s license) = 0.14 / 0.84 ≈ 0.1667

To the nearest whole percent, the probability that a senior takes the bus to school every day, given that he or she has a driver’s license, is 17%.

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The gas station serves 16 vehicles per hour, and 72 vehicles arrive in 4 hours. The vehicles will spend 4.50 hours at the gas station.



To find the total time the vehicles will spend at the gas station, we need to calculate the total number of vehicles that arrive and then divide it by the rate at which the gas station serves vehicles.

Given:

Arrival rate: 18 vehicles per hour

Service rate: 16 vehicles per hour

Time: 4 hours

First, let's calculate the total number of vehicles that arrive during the 4-hour period:

Total number of vehicles = Arrival rate * Time

                      = 18 vehicles/hour * 4 hours

                      = 72 vehicles

Since the gas station can serve 16 vehicles per hour, we can determine the time it takes to serve all the vehicles:

Time to serve all vehicles = Total number of vehicles / Service rate

                         = 72 vehicles / 16 vehicles/hour

                         = 4.5 hours

Therefore, the vehicles will spend 4.5 hours at the gas station. Rounded to 2 decimal places, the answer is 4.50 hours.

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Using the definition of individual in a study, it is found that they are represented in the student column.

It is the subject over which the study is applied, that is, the people, or the objects, that are surveyed.

In this problem, the students are surveyed to find the top vote-getter, hence the individuals are represented in the student column.

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when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{y}{5}=\cfrac{11}{y}\implies y^2=55\implies y=\sqrt{55}\implies y\approx 7.4 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x}{5}=\cfrac{16}{x}\implies x^2=80\implies x=\sqrt{80}\implies x\approx 8.9\)

The slope of each pair point is listed below:

Case A: m = - 4

Case B: m = 6 / 7

Case C: m = - 3

Case D: m = 4

Case E: m = - 5 / 2

In this problem we find five cases of two points that are part of a line, whose slope (m) can be calculated by means of secant line formula:

m = (y₂ - y₁) / (x₂ - x₁)

Where:

Now we determine the slope for each case:

Case A:

m = (10 - 2) / (7 - 9)

m = 8 / (- 2)

m = - 4

Case B:

m = [- 5 - (- 11)] / [- 1 - (- 8)]

m = 6 / 7

Case C:

m = [3 - (- 6)] / (2 - 5)

m = 9 / (- 3)

m = - 3

Case D:

m = (- 1 - 3) / (5 - 6)

m = - 4 / (- 1)

m = 4

Case E:

m = (2 - 7) / (6 - 4)

m = - 5 / 2

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Answer:

Answer are in bold below

Step-by-step explanation:

Question: 1

Jessica = $8

Ciara = $12 + 4 $16

Now we times both values.

16 x 8 = $128

8 x 16 = $128

They would both need to work 8 hours ft=or the same money.

Question 2:

$8 x 5 = $40

$16 x 5 =$80

Jessica will be less expensive.

Answer: 3 hours

Jessica=$8

Ciara= $4 + $12

8*3= $24

4*3= $12 +$12= $24

Because Ciara has an additional $12 fee, you have you add it on to her total.

Answer:

C

Step-by-step explanation:

I think so

The probability that a student who can drive is a college student is 0.2771 or 27.7%

It will be sooved using Baye's theorem -

P(college) = P(C) / 1/5 = 0.2

P(high school students) = P(H) = 4/5 = 0.8

P(college drives) = 0.23

P(high school drives) = 0.15

We have to find, probability that a student who drives is a college student.

That is, we have to find P(C/D).

P(C/D) = P(C ∩ S)/P(S)

Since P(C ∩ S) is an independent event.

P(C ∩ S) = P(C) × P(S)

P(C ∩ S) = 0.2 × 0.23

= 0.046

Using bayes's theorem, we will get

P(C/D) = 0.2771 or 27.7%

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The unknown angles of the right angle triangle is 45 degrees.  

A right angle triangle is a triangle with one angle equals to 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the right triangle has two angle measurements that are equal to each other. The third angle is 90 degrees.

Therefore, let's find the angles measure x, the two other equal angles.

Hence,

x + x + 90 = 180

2x + 90 = 180

subtract 90 from both sides of the equation

2x + 90 = 180

2x + 90 - 90 = 180 - 90

2x = 90

divide both sides by 2

x = 90 / 2

x = 45 degrees

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\(▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ \)

Given terms are :

let's solve for kinetic energy :

Finally, we can use the fact that 3 is a zero of multiplicity 1 to determine: f(0) = 0 = -81ac.

A polynomial function of degree 7 with -3 as a zero of multiplicity 3, 0 as a zero of multiplicity 3, and 3 as a zero of multiplicity 1 can be written as:

f(x) = \(a(x + 3)^3 * b(x)^3 * c(x - 3)\)

where a, b, and c are constants to be determined.

Since -3 is a zero of multiplicity 3, we know that (x + 3) appears in the function three times as a factor, so we can write:

f(x) =\(a(x + 3)^3 * g(x)\)

Here g(x) is some function of degree 4 (since we have accounted for 3 of the 7 total factors). Similarly, since 0 is a zero of multiplicity 3, we know that \(x^3\) appears in the function three times as a factor, so we can write:

g(x) = \(b(x)^3 * h(x)\)

Here h(x) is some function of degree 1 (since we have accounted for 3 of the remaining 4 factors). Finally, we know that 3 is a zero of multiplicity 1, so we can write:

h(x) = c(x - 3)

Putting it all together, we have:

\(f(x) = a(x + 3)^3 * g(x)\\= a(x + 3)^3 * b(x)^3 * h(x)\\= a(x + 3)^3 * b(x)^3 * c(x - 3)\)

Substituting h(x) into g(x), we get:

\(g(x) = b(x)^3 * h(x)\\= b(x)^3 * c(x - 3)\)

Substituting g(x) into f(x), we get:

\(f(x) = a(x + 3)^3 * g(x)\\= a(x + 3)^3 * b(x)^3 * h(x)\\= a(x + 3)^3 * b(x)^3 * c(x - 3)\\= a(x + 3)^3 * b(x)^3 * c(x - 3)\\\)

Expanding the terms, we get:

\(f(x) = a(x^3 + 9x^2 + 27x + 27) * b(x^3)^3 * c(x - 3)\\= a(x^3 + 9x^2 + 27x + 27) * b(x^6) * c(x - 3)\\\\= a(x^3 + 9x^2 + 27x + 27) * b(x^6) * c(x) - 3c(x^5)\)

Now, we can use the fact that -3 is a zero of multiplicity 3 to determine the value of a:

\(f(-3) = a(-3 + 3)^3 * b(0)^3 * c(-3) = 0\)

= 0

Since \((-3 + 3)^3 = 0,\) we can simplify this equation to:

f(-3) = 0 = \(b(0)^3 * c(-3)\)

Since 0 is a zero of multiplicity 3, we can also determine the value of b:

f(0) = \(a(0 + 3)^3 * b(0)^3 * c(0 - 3) = 0\)

= 27a * 0 * (-3c)

Simplifying, we get:

f(0) = 0 = -81ac

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Answer:

106

Step-by-step explanation:

\(a_n=a_1+d(n-1)\)

Substitute Values

\(a_1=2d=52 .\)

\(a_n=2+52(n-1)\)

In this case, adding  52  to the previous term in the sequence gives the next term.

then simplify

\(a_n=2+52n-52\)

Substitute in the value of  n  to find the  n th term. In this case 3 and you have your answer

106

- The initial value of the function is obtained when t=0. Replace this value into the formula for V(t):

V(0) = 659,000(0.79)⁰ = 659,000

- The function represent a decay because the factor exponentiated, 0.79, is lower than 1.

- 0.79 represents a decay of

1 - 0.79 = 0.21

which is equivalent to a decay of 21%

Answer:

c = 50

Step-by-step explanation:

The given angles are alternate angles and their measures are equal.

We can write the following equation based on this information:

2c - 3 = 97

2c = 100

c = 50

The radius of convergence is 0, and the interval of convergence is the single point x = 0.

To obtain the radius of convergence and interval of convergence of the series we can use the ratio test.

\(\[ \sum_{n=1}^{\infty} \frac{2 \cdot 4 \cdot 6 \cdots (2n)}{3 \cdot 5 \cdot 7 \cdots (2n+1)}x^{2n+1} \]\)

The ratio test states that if \(\( L = \lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| \)\), then the series converges if \(\( L < 1 \)\) and diverges if \(\( L > 1 \). If \( L = 1 \)\), the test is inconclusive.

Let's calculate the limit:

\(\[ L = \lim_{n \to \infty} \left| \frac{\frac{2 \cdot 4 \cdot 6 \cdots (2(n+1))}{3 \cdot 5 \cdot 7 \cdots (2(n+1)+1)}x^{2(n+1)+1}}{\frac{2 \cdot 4 \cdot 6 \cdots (2n)}{3 \cdot 5 \cdot 7 \cdots (2n+1)}x^{2n+1}} \right| \]\)

Simplifying the expression:

\(\[ L = \lim_{n \to \infty} \left| \frac{(2n+2)(2n+1)x^{2n+3}}{(2n+1)(2n)x^{2n+1}} \right| \]\)

\(\[ L = \lim_{n \to \infty} \left| \frac{(2n+2)x^2}{x^2} \right| \]\)

\(\[ L = \lim_{n \to \infty} 2(n+1) = \infty \]\\\)

Since the limit is infinity, the series diverges for all values of  x , except when x = 0 and hence the radius of convergence is 0, and the interval of convergence is the single point x = 0.

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Answer:

\(P(Not\ 2019) = \frac{2}{7}\)

Step-by-step explanation:

Given

\(n(2019)= 3\)

\(n(2001)= 2\\\)

\(n(2008)= 2\)

\(n = 7\) --- total

Required

\(P(Not\ 2019)\)

When two quarters not minted in 2019 are selected, the sample space is:

\(S = \{(2001,2001),(2001,2008),(2008,2001),(2008,2008)\}\)

So, the probability is:

\(P(Not\ 2019) = P(2001,2001)\ or\ P(2001,2008)\ or\ P(2008,2001)\ or\ P(2008,2008)\)

\(P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)\)

\(P(2001,2001) = P(2001) * P(2001)\)

Since it is a selection without replacement, we have:

\(P(2001,2001) = \frac{n(2001)}{n} * \frac{n(2001)-1}{n - 1}\)

\(P(2001,2001) = \frac{2}{7} * \frac{2-1}{7 - 1}\)

\(P(2001,2001) = \frac{2}{7} * \frac{1}{6}\)

\(P(2001,2001) = \frac{1}{7} * \frac{1}{3}\)

\(P(2001,2001) = \frac{1}{21}\)

\(P(2001,2008) = P(2001) * P(2008)\)

Since it is a selection without replacement, we have:

\(P(2001,2008) = \frac{n(2001)}{n} * \frac{n(2008)}{n - 1}\)

\(P(2001,2008) = \frac{2}{7} * \frac{2}{7 - 1}\)

\(P(2001,2008) = \frac{2}{7} * \frac{2}{6}\)

\(P(2001,2008) = \frac{2}{7} * \frac{1}{3}\)

\(P(2001,2008) = \frac{2}{21}\)

\(P(2008,2001) = P(2008) * P(2001)\)

Since it is a selection without replacement, we have:

\(P(2008,2001) = \frac{n(2008)}{n} * \frac{n(2001)}{n - 1}\)

\(P(2008,2001) = \frac{2}{7} * \frac{2}{7 - 1}\)

\(P(2008,2001) = \frac{2}{7} * \frac{2}{6}\)

\(P(2008,2001) = \frac{2}{7} * \frac{1}{3}\)

\(P(2008,2001) = \frac{2}{21}\)

\(P(2008,2008) = P(2008) * P(2008)\)

Since it is a selection without replacement, we have:

\(P(2008,2008) = \frac{n(2008)}{n} * \frac{n(2008)-1}{n - 1}\)

\(P(2008,2008) = \frac{2}{7} * \frac{2-1}{7 - 1}\)

\(P(2008,2008) = \frac{2}{7} * \frac{1}{6}\)

\(P(2008,2008) = \frac{1}{7} * \frac{1}{3}\)

\(P(2008,2008) = \frac{1}{21}\)

So:

\(P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)\)

\(P(Not\ 2019) = \frac{1}{21} + \frac{2}{21} +\frac{2}{21} +\frac{1}{21}\)

Take LCM

\(P(Not\ 2019) = \frac{1+2+2+1}{21}\)

\(P(Not\ 2019) = \frac{6}{21}\)

Simplify

\(P(Not\ 2019) = \frac{2}{7}\)

The Binary Search Tree is as follows:

                                                   E

                                            /            \

                                         S                T

                                        /                    \

                                      I                       W

                                   /                            \

                                A                               M

                              /                                    \

                             C                                     G

                              \

                                D

The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5

Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:

post-order sequence is: C, D, A, G, M, I, W, T, S, E.

To draw the binary search tree for the given post-order sequence, follow the steps below:

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Answer:

See below

Step-by-step explanation:

A) In part 1, the bus is increasing in speed. In part 2, the bus keeps a steady pace. In part 3, the bus is slowing down. In part 4, the bus is once again keeping a steady pace. In part 5, the bus is increasing in speed once again.

B) Parts 1 and 5 are increasing, part 3 is decreasing, and parts 2 and 4 are constant.

C) This graph is non-linear. Linear means straight, and this graph is constantly increasing and decreasing. Thus, it is non-linear.

In the first segment, the bus picks up pace. The bus maintains its constant speed in segment 2. The bus is slowing down in part three. Part 4 finds the bus moving steadily once more. Part 5 sees the bus picking up pace once more.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A) In part 1, the bus is increasing in speed. In part 2, the bus keeps a steady pace. In part 3, the bus is slowing down. In part 4, the bus is once again keeping a steady pace. In part 5, the bus is increasing in speed once again.

B) Parts 1 and 5 are increasing, part 3 is decreasing, and parts 2 and 4 are constant.

C) This graph is non-linear. Linear means straight, and this graph is constantly increasing and decreasing. Thus, it is non-linear.

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(-9,6) and (-3,2) help pls

Answer : -12.8

Answer:

Absolute value.

Step-by-step explanation:

We have the expression:

\(\displaystyle \sqrt{s^2}\)

The square root and the square will cancel. This yields:

\(=|s|\)

We need the absolute value because any value squared is positive. The square root of a positive value will also be positive.

In other words, if we only simplified the expression down to s without the absolute value, if s was originally negative, our simplification will have also been negative.

For instance, say s = -7, then:

\(\displaystyle \sqrt{(-7)^2}=\sqrt{49}=7\)

However, if we let √s² = s, then s = -7. By having the absolute value, we have that |s| = |-7| = 7, which is the correct statement.

We can start by finding how much money Anastasia saves each week.

The difference between her starting balance and ending balance after 11 weeks is:

$665 - $225 = $440

So, over 11 weeks, Anastasia has saved a total of $440.

To find how much money she saves each week, we can divide the total savings by the number of weeks:

$440 ÷ 11 weeks = $40 per week

This means that Anastasia saves $40 each week.

To find out how much money she will have in her account after 24 weeks, we can multiply the amount she saves each week by the number of weeks:

$40 per week × 24 weeks = $960

Therefore, after 24 weeks, Anastasia will have $960 in her savings account.

Answer

First Question

Options A and B are correct.

The correct answers that satisfy the inequality given include 1600 and 2000.

Second Question

d = 948.6 m

Explanation

We are given that

√x ≥ 40

We are then asked to pick the options that satisfy the given expressio,

To do this, we need to first square both sides

√x ≥ 40

x ≥ 1600

So, for the options, we will pick the answers that are greater than or equal to 1600

The correct answers include 1600 and 2000.

All the other options are not equal to or greater than 1600.

Second Question

We are given that the expression that gives the relationship between the distance the object falls (d) and the time taken (t) is

√d = (t) . (2.8)

√d = 2.8t

We are then asked to solve the distance a screw that falls for 11 seconds falls

√d = 2.8t

t = 11 seconds

√d = 2.8t

√d = 2.8 (11)

√d = 30.8

Square both sides

d = 948.6 m

Hope this Helps!!!

Answer: It is 1.2 in decimal number format

Please give brainliest if this makes the most sense!

Answer:

5

Step-by-step explanation:

5*20=100

Answer:

360 degree

Step-by-step explanation:

A seventeen sided polygon or a 17 sided polygon the rule is same that the sum of the measures of the exterior angles is 360.

The area of triangle HIJ is 7 square units.

Given that, the vertices of triangle HIJ are H(-9,-8), I(-5,-5), and J(-7,-3) respectively. By using the vertices of triangle HIJ we have to evaluate its area in square units. So, let's procced to solve the question.

Area of ΔHIJ = 1/2|x₁(y₂-y₃)+x₂(y₃-y₁)+x₃(y₁-y₂)|

So, x₁ = -9, x₂ = -5, x₃ = -7 and y₁ = -8, y₂ = -5, y₃ = -3

Put all the listed values in the formula of area of triangle HIJ.

By using the above formula, we get

=1/2|-9(-5+3)+(-5)(-3+8)+(-7)(-8-(-5))|

=1/2|-9(-2)-5(5)+(-7)(-3)|

=1/2|18-25+21|

=1/2|14|

= 1/2 x 14

= 7

Therefore, the area of triangle HIJ is 7 square units.

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The required, Pair 1 and Pair 3 are pairs of congruent polygons. Option D is correct.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
"Congruent shapes have both the same size and the same shape.

In Pair 1, there are two polygons that have identical sizes and shapes, meaning they are congruent.

In Pair 2, there are two polygons that are not the same size and the length of the "stick" in one figure is longer than the corresponding length in the second figure.

In Pair 3, there are two polygons that have identical sizes and shapes, making them congruent.

In Pair 4, there are two polygons that have the same shape, but the first green figure is larger than the second red figure, indicating that they are not congruent."

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