Jane took out $135 from her checking account. if Jane now has a balance of 650 in her account, how much did Jane have in the account before she took out any money​

The p-value can be found with the F-distribution table or statistical software. If the p-value is less than or equal to α, then answer is option (a),If the p-value is greater than α, then answer is option (b).

To determine the correct statistical decision based on the given F-statistic, F (3, 12) = 2.72, we need additional information such as the significance level (α) of the hypothesis test. The significance level is a predetermined threshold that is used to assess the statistical significance of the results.

The correct decision depends on whether the calculated p-value, which quantifies the strength of evidence against the null hypothesis, is less than or equal to the significance level (α).

To find the p-value, you would need the F-distribution table or statistical software.

Once you have the p-value, you can compare it to the significance level (α) to make a decision:

If the p-value is less than or equal to α, you would reject the null hypothesis, indicating a statistically significant mean difference.

If the p-value is greater than α, you would fail to reject the null hypothesis, suggesting that there is not a statistically significant mean difference.

Therefore, without the significance level or the p-value, it is not possible to determine the correct statistical decision.

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Answer:

x+5

Step-by-step explanation:

Hope this helps

Hi! I hope you're enjoying your day!

The linear relationship between x and y is

y=x+5

So we take a number x, add 5 to it, and that is equal to y.

Let's try and see if it works.

Let's take 2.

Add 5:

y=5+2

That should be equal to 7.

y=7

Yeah! It worked :)

Let's try another one.

Let's take 3.

y=3+5

y=8

Woo-hoo! It worked again :)

Hence, the answer is

\(\boxed{\boxed{\bold{Option~B~-y=x+5}}}\)

Hope everything is clear.

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\(\rule{250}{2}\)

The probability that both Rachel and Robert are in the picture is 3/16.

The terms probability and possibility are interchangeable. It is a mathematical branch concerned with the occurrence of a random event. The value is between 0 and 1. In mathematics, the probability was introduced to predict the likelihood of events occurring.

Given that

Rachel and Robert both begin at the same point

Rachel completes a lap every 90 seconds.

Robert completes a lap every 80 seconds.

The photographer captures 1/4th of the track, centered on the starting line.

As a result, the photo captures 1/8th of the track on either side of the starting line.

The photographer captures it between 10 and 11 minutes, or 600 and 660 seconds.

Let us calculate the time interval between 600 and 660 seconds during which Rachel and Robert will be running in the quarter-length region of the track centered on the starting line. Specifically, 1/8th of the track length on each side of the starting line.

Robert will complete 1/8th of a lap in 10 seconds. So, between 630 and 650 seconds, Robert will be in the area of the ground captured by the photographer.

Rachel finishes one lap in 90 seconds. As a result, Rachel will take the starting line at the 630th second (after 7 laps).

Rachel will complete 1/8th of a lap in 90/8 seconds. So, Rachel will be in the area of the ground captured by the photographer from (630 - 90/80) seconds to (630 + 90/80) seconds.

i.e., for a duration of 90/80 seconds out of the 60 seconds both of them are in the frame captured by the photographer.

Required probability = {time window in which both Rachel and Robert are in the favorable zone}/{time window in which the photographer captures the picture}

= {90/8}/60

= 3/16

Therefore the probability that both Rachel and Robert are in the picture is 3/16

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Answer:

\(\Huge \boxed{4^{16} }\)

Step-by-step explanation:

\(16^8\)

Rewrite 16 with base 4.

16 is also written as 4².

\((4^2)^8\)

We can apply an exponent rule :

\((a^b)^c=a^{bc}\)

Multiply the exponents.

\(4^{2 \times 8}\)

\(4^{16}\)

Answer

option C (60 degrees)

Step-by-step explanation:

solution attached in the picture

Answer:

11

Step-by-step explanation:

Let's call the number of games of Balloon Bouncer that Amy played as "x".

Amy started with 35 tokens and used 2 for Roll-and-Score, so she had 35 - 2 = 33 tokens left.

Each game of Balloon Bouncer costs 3 tokens, so the total number of tokens used for Balloon Bouncer games is 3x.

Therefore, the equation to find the number of games Amy played is:

33 = 3x

Solving for x, we get:

x = 11

So Amy played 11 games of Balloon Bouncer.

Answer: 3g + 3 = 35

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

If rectangle has sides measuring (2x +7) units and (5x +9) units then expression that represents the area of the rectangle is \(10x^2+53x+63\) and degree of this expression is 2 and we proved that it satisfy closure property .

A quadrilateral with four right angles is called rectangle .

Given that sides are (2x+7) and (5x+9)

Hence area of rectangle can be calculated as

\((2x+7)(5x+9)\\\\2x(5x+9)+7(5x+9)\\\\10x^2+18x+35x+63\\\\10x^2+53x+63\\\)

Now we can see that this is a second degree polynomial

We got polynomial   \(10x^2+53x+63\) by multiplying two polynomial (2x+7) and (5x+9) hence it's closure property .

If rectangle has sides measuring (2x +7) units and (5x +9) units then expression that represents the area of the rectangle is \(10x^2+53x+63\) and degree of this expression is 2 and we proved that it satisfy closure property .

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The required lengths of side of triangle are 15 in, 16 in and 17 in.

Given :

The sum of the angles of a triangle is always 180°

Given that :

Sides of a triangle are consecutive integers.

Also given that,

Perimeter of triangle is 48.

Let the sides of triangle are x, x + 1 and x + 2.

x + x + 1 + x + 2 = 48

3x = 48 - 3

3x = 45

divide by 3 on both sides

x = 15

The length of the triangles  

x + 1 = 15 + 1 = 16

x + 2 = 15 + 4 = 17

The side lengths of the triangle are 15, 16 and 17.

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Answer:

153.86 is your answer:)

Answer:

254.34

Step-by-step explanation:

3.14 x (9x9) = 254.34

Answer: The answer is C

Step-by-step explanation:

Well, an example of a perfect square trinomial would look like is:

                   \(a^2-2ab+b^2\)      or      \(a^2+2ab+b^2\)

So since we already know what \(a^2\) is and what \(2ab\) is we just have to find \(b^2\)

However, we would use the \(a^2-2ab+b^2\) formula to solve this since we have a subtraction sign

Answer:

C

Step-by-step explanation:

16

The daily output achieved by maximum cycle time cannot be calculated by the given information. But, the daily output achieved by minimum cycle time is 1688 units per day (approx).

Given that the line will operate for 450 minutes per day.

The maximum cycle time can be calculated using the formula:

Maximum cycle time = Operating time / Minimum number of cycles

Maximum cycle time = 450 / 1

= 450 minutes

The minimum cycle time can be calculated using the formula:

Minimum cycle time = Operating time / Maximum number of cycles

So,

Minimum cycle time = 450 / (450/20)

= 20 minutes

a. The maximum cycle time is 450 minutes, and the minimum cycle time is 20 minutes.

Maximum cycle time = 450 minutes

Minimum cycle time = 20 minutes

b. The daily output achieved by maximum cycle time can be calculated using the formula:

Daily output = (Operating time * Efficiency) / Cycle time

We know that the operating time is 450 minutes.

Efficiency is not given.

Hence, the daily output cannot be calculated by the given information.The daily output achieved by the minimum cycle time can be calculated using the formula:

Daily output = (Operating time * Efficiency) / Cycle time

Daily output achieved by minimum cycle time = (450 * 75%) / 20

Daily output achieved by minimum cycle time = 1688 units per day (approx)

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Answer: 0.616

Step-by-step explanation:

Adds up

Answer:

C

Step-by-step explanation:

Okay so on Saturday there is a 30% sale plus she comes early so +10% and that makes 40% off.

10% of 400=40

multiply by 4 to get 40%, 40*4=40%

40%=160

400-160=240

Hope this helps

400 x 0.30 = 120

400 - 120 = 280

280 x 0.10 = 28

280 - 28 = 252

So 252 is you answer.

For a quadratic function if the value of the coefficient is far away from zero, the parabola looks thin or narrow.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree.

If the value of the coefficient of the squared variable in a quadratic function is far away from zero, the parabola looks narrow or thin.

This is because the coefficient of the squared variable determines the "steepness" of the curve of the parabola.

For example, consider the equation y = 2x².

This parabola is narrow because the coefficient of x² is 2, which is far away from 0.

On the other hand, if we consider the equation y = (1/2)x², the parabola is wider because the coefficient of x² is 1/2, which is closer to 0.

In general, the closer the coefficient of the squared variable is to 0, the wider the parabola will be.

Conversely, the farther the coefficient is from 0, the narrower or thinner the parabola will be.

Therefore, the parabola looks thin.

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The coefficient of the squared variable determines how wide or narrow a parabola is.

If the value of the coefficient is far away from zero, the parabola looks?

Elevation = 0 - 1050 × Time or Elevation = -1050t, where Elevation is in feet and Time is in hours, is the expression that describes the connection between the submarine's elevation and time.

Seconds, mins max, minutes, days, periods, months, and years are the fundamental elements of time. To determine the time of day, we use secs, minutes, as well as hours; to determine the date, we use times, months, and years. The lesser measures of time are seconds, minutes, and hours, while the larger ones are days, months, and years.

Assuming that the submarine is descending at a constant rate, we can use the equation:

Elevation = Initial Elevation - Rate × Time

where Initial Elevation is the starting elevation (in this case, the surface), Rate is the rate of descent, Time is the time elapsed, and Elevation is the current elevation.

In this case, the Initial Elevation is 0 feet (the surface), the Rate is -1050 feet per hour (since the submarine is descending at a rate of 1050 feet per hour), and Time is the elapsed time in hours.

Therefore, the equation that represents the relationship between the submarine's elevation and time is:

Elevation = 0 - 1050 × Time

or

Elevation = -1050t

where Elevation is in feet and Time is in hours.

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Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

we cannot determine the acceptance of hm, 0100i and hm, mi in arex and eqdfa respectively due to lack of information.

a. To determine if hm, 0100i ∈ adfa, we need to follow the transitions of the DFA M. Starting from the start state, let's assume it is q0, we read the input symbol 0 and transition to state q1. Then, we read the input symbol 1 and transition to state q0. Next, we read the input symbol 0 and transition to state q0. Finally, we read the input symbol 0 and transition to state q0. After reading all the input symbols, we are left in state q0. Since q0 is not a final state, hm, 0100i is not accepted by adfa.
b. Following the same steps as above, we see that hm, 011i is accepted by adfa. After reading the input symbols, we end up in state q2, which is a final state. Therefore, hm, 011i ∈ adfa.
c. To check if hmi ∈ adfa, we need to consider the transitions of M. Assuming the input string hm, we start at the start state q0. However, since we do not have any input symbols to read, we remain in state q0. As q0 is not a final state, hmi is not accepted by adfa.
d. For hm, 0100i to be accepted by arex, we need to follow the transitions of the DFA Rex. Unfortunately, the terms "arex" and "hm" are not defined in the question, so we cannot determine whether hm, 0100i ∈ arex or not.
e. Similar to part c, hmi is not accepted by edfa. As we have no input symbols to read, we remain in the start state q0, which is not a final state.
f. To check if hm, mi ∈ eqdfa, we need to compare the input string hm with the current state of the DFA. However, the question does not provide any details about the states and transitions of eqdfa, so we cannot determine whether hm, mi ∈ eqdfa or not.

In conclusion, hm, 0100i is not accepted by adfa, hm, 011i is accepted by adfa, hmi is not accepted by adfa or edfa, and we cannot determine the acceptance of hm, 0100i and hm, mi in arex and eqdfa respectively due to lack of information.

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The value of the function f(2) is 3

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x - 1

Also, we have

x  = 2

Substitute the known values in the above equation, so, we have the following representation

f(2) = 2 * 2 - 1

Evaluate

f(2) = 3

Hence, the solution is 3

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Complete question

Consider the function,f(x) = 2x - 1

Calculate f(x) when x = 2

radius : A straight line extending from the center of a circle or sphere to the circumference or surface

In geometry, circles and spheres are two-dimensional and three-dimensional shapes, respectively, that possess unique characteristics. One important concept associated with circles and spheres is the notion of a line extending from their centers to their circumferences or surfaces. This line has a specific name and serves as a fundamental element in understanding these geometric shapes. In this detailed explanation, we will explore the term used to describe this line and delve into its significance.

The line extending from the center of a circle to its circumference, or from the center of a sphere to its surface, is called a "radius." The term "radius" refers to a straight line segment that connects the center of the circle or sphere to any point on its circumference or surface. It is important to note that the term "radius" is used exclusively when referring to circles and spheres and not to other shapes or objects.

Let's examine the properties and significance of the radius in both circles and spheres:

1. Circle:

In a circle, the radius is a fundamental element that defines the size and shape of the circle. It is the distance between the center of the circle and any point on its circumference. Notably, all radii of a circle are equal in length. In mathematical formulas and calculations involving circles, the radius is often denoted by the letter "r."

The radius plays a crucial role in determining various properties of the circle, including its area, circumference, and relationships with other geometric elements, such as chords and tangents.

2. Sphere:

In a sphere, which is a three-dimensional object analogous to a circle, the radius serves a similar purpose. It extends from the center of the sphere to any point on its surface. Like in a circle, all radii of a sphere are equal in length. In mathematical formulas and calculations involving spheres, the radius is typically denoted by the letter "r."

The radius of a sphere is essential in determining properties such as its volume, surface area, and relationships with other geometric elements like great circles or diameters.

The radius is a foundational concept in the study of circles and spheres. It provides a measure of distance from the center to the outer edge and is used in various mathematical calculations and geometric analyses. Moreover, the radius plays a crucial role in determining the symmetry, proportions, and relationships between different parts of circles and spheres.

It is worth mentioning that the concept of the radius is closely related to other geometric elements in circles and spheres. For instance, diameters are lines that pass through the center of a circle or sphere and have endpoints on the circumference or surface, respectively. The diameter is always twice the length of the radius. Additionally, chords are segments within a circle or sphere that connect any two points on the circumference or surface.

The radius bisects any chord that passes through the center, dividing it into two equal segments.

In conclusion, the line extending from the center of a circle to its circumference or from the center of a sphere to its surface is called a "radius." The radius is a fundamental element that defines the size, shape, and proportions of circles and spheres. It plays a crucial role in calculating various properties, such as area, circumference, volume, and surface area.

Understanding the concept of the radius is essential in geometry and provides insights into the symmetrical and proportional relationships within circles and spheres.

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Answer: you probly need to find the root of the number 8

Step-by-step explanation:

Answer:

-17 9/10

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

im not sure but it may be B as if i cant see the photo

Step-by-step explanation:

tell me if i got it right or wrong :)

(a) The consistent estimator for θ≡p^3 is (1/n * Σ(X_i))^3, based on the sample mean cubed. It is consistent because it converges to the true parameter as the sample size increases. (b) The bias of the estimator is not determined from the given information.

(a) To propose a consistent estimator for θ≡p^3, we can use the sample mean cubed, which is calculated as (1/n * Σ(X_i))^3. This estimator is consistent because it relies on the sample mean, which is known to be a consistent estimator of the true population mean. As the sample size increases, the sample mean converges to the true population mean, and taking the cube of the sample mean preserves this convergence. Thus, the sample mean cubed also converges to the true population mean cubed, which is θ.

(b) The expected value of the estimator θ can be calculated as E[θ] = E[(1/n * Σ(X_i))^3]. By expanding the cube and using the given formula, we can express E[θ] in terms of moments of the Bernoulli random variables X_i. However, it is not clear from the given information whether the estimator θ is unbiased, as we would need additional information about the distribution of X_i and its relationship to the parameter p.

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The probability that Hannah's number is an even palindrome is 1/45.

There are 45 even palindrome numbers between 1000 and 9999, out of a total of 4500 possible 4-digit numbers.

So, the probability of Hannah writing an even palindrome number is 1/45.

A palindrome number is the same when read from left to right or right to left. There are 90 possible 2-digit palindrome numbers (11, 22, 33, etc.), and 9 possible 1-digit palindrome numbers (1, 2, 3, etc.), making a total of 99 palindrome numbers from 1 to 999. In a 4-digit number, the first and last digits must be the same for it to be a palindrome.

Therefore, the first digit has 9 choices (1-9), and the last digit also has 9 choices. The second digit can be any of the 10 digits (0-9), and the third digit can be any of the 5 remaining even digits (0, 2, 4, 6, 8).

Thus, there are 45 even palindrome numbers between 1000 and 9999.

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the midpoint of FG given F(2, -6) and G(-8, 10) = (-3,2)

Solution :

The midpoint calculator will take two coordinates in the Cartesian coordinate system and find the point directly in-between both of them. This point is often useful in geometry.

1. Label the coordinates(x₁,y₁) and (x₂,y₂).

2. Input the values into the formula.

3. Add the values in the parentheses and divide each result by 2.

4. The new values form the new coordinates of the midpoint.

f we have coordinates (x₁,y₁) and (x₂,y₂), then the midpoint of these coordinates is determined by (x₁ + x₂)/2, (y₁ + y₂)/2. This forms a new coordinate you can call (x,y).

Given :

F(2, -6) and G(-8, 10)

FG= (-8+2)/2,(-6+10)/2

FG= (-6/2,4/2)

FG=(-3,2)

the midpoint of FG given F(2, -6) and G(-8, 10) = (-3,2)

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