A cyclist is biking a certain amount of distance in 25 minutes
How long will it take for a pedestrian to walk the same amount of distance when it’s speed is 2 2/5 times slower than the cyclist

Answer:

D.

Step-by-step explanation:

When we are manipulating the a variable in f(x) = a(x - h)² - k, we are working with vertical shrinks and stretches. If a < 1, then it is a vertical shrink. If a > 1, it is a vertical stretch. In this problem, 7 > 1, so it is a vertical stretch.

Answer:

x=7  1/2

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

12x ÷ 5 x 5 = 18 x 5

12x ÷ 12 = 90 ÷ 12

= 7.5

The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).

The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.

A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.

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Answer:

6 got off at NJ

Step-by-step explanation:

if u write an equation it would be 44-x+2x=50. -x+2x=x so the equation would now be 44+x=50. If you subtract both sides by 44, it would be x=6. x was the number of people that got off at NJ so 6 people got off there.

Hope this helps!

Answer:

4845.34

Step-by-step explanation:

Exponential Functions:

y=ab^x

a=starting value = 17900

r=rate = 12.25%=0.1225

Exponential Decay:

b=1−r=1−0.1225=0.8775

Write Exponential Function:

y=17900(0.8775)^x

Plug-in time for x:

y=17900(0.8775)^{10}

y=4845.3402815

y≈4845.34

The rate of change of the amount earned with respect to hours worked for this function is D. 13 dollars per hour.

The rate of change for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :

Point a = (5, 65) = (x₂, y₂)

Point b = (2, 26) = (x₁, y₁)

Calculating the gradient or slope :

Rate of change = (y₂ - y₁) / (x₂ - x₁)

Rate of change = (65 - 26) / (5 - 2)

Rate of change = 39 / 3

Rate= 13 dollars per hour

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Complete question

The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour

Let x be the amount of the 30% alcohol and let y be the amount of 5% alcohol.

We want the total amount to by 25 gal, then we have:

We also want the resulting mix to be 25% alcohol, this is 0.25 in decimal form; also we know that the first type of alcohol is 30% and the second is 5%, then we have:

Hence we have the system of equations:

To solve the system we solve the first equation for y:

then we plug this value of y in the second equation:

Once we have the value of x we plug it in the expression we found for y:

Therefore, the mixture will have 20 gallons of 30% alcohol and 5 gallons of 5% alcohol.

Answer:x is two

Step-by-step explanation:

Answer:

y=4/3x+4

Step-by-step explanation:

Slope intercept form is y=mx+b

m is always the slope and b is always the y-intercept

These are the steps to find the equation of any graph:

First, fine the y-intercept. That's the point where the graph crosses the y-axis (the line going up and down). So b=4

Then, to find the slope, you literally count how many you go up or down (rise) and left or right (run) to get to another point. You can choose any point on the graph you want. I'll choose the point (-3,0). So you start at (0,4) and you go down 4 and left 3 to get to the second point. So the slope = rise/run = -4/-3 so m=4/3

Now plug the slope (m) and y-intercept (b) into the slope-intercept equation

y=mx+b

y=4/3x+4

Follow these steps for any similar problem, just start with the y-intercept and count the rise over run to find the slope, then plug in the slope and the y-intercept.

Answer:

.j.k

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

THE FIRST ONE

Step-by-step explanation:

NONE OF THE X REPEATS

The expected actual capacity of the freezer purchased by the next customer is 536.8.

Let the random variable X represents the rated capacity of a freezer sold at a certain store.

Hence, the following table represent the probability distribution of the random variable X.

The mean and variance of the random variable X is 17.2 and 1.76.

The expected actual capacity of the freezer purchased by the next customer is:

= 69E(X) - 650

= 69(17.2) - 650

= 536.8.

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The requried, 58.33% of a 14K gold ring is real gold.

To find the percentage of a 14K gold ring that is real gold, we can use the formula:

percentage = (part/whole) x 100

In this case, the "part" is the number of parts that are real gold, which is 14. The "whole" is the total number of parts, which is 24.

So the percentage of real gold in a 14K gold ring is:

percentage = (14/24) x 100 = 58.33%

Therefore, approximately 58.33% of a 14K gold ring is real gold.

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Answer: (5,6) and (8,3)

Step-by-step explanation:

Answer:

Four

Step-by-step explanation:

29 plus 7 = 36 divided by 4= 9

First urn has at least 1 red ball and at least 2 blue balls:

We can count the number of distributions that violate this condition, and subtract from the total. Let A be the event that the first urn has no red ball, and let B be the event that the first urn has less than 2 blue balls. Then, by the principle of inclusion-exclusion, the number of distributions that violate the condition is:

|A U B| = |A| + |B| - |A ∩ B|

The number of distributions where the first urn has no red ball is the same as the number of distributions of 10 blue balls into 4 urns, which is (10+4-1) choose (4-1) = 220. Similarly, the number of distributions where the first urn has less than 2 blue balls is the same as the number of distributions of 8 balls into 4 urns, which is (8+4-1) choose (4-1) = 165. To find the number of distributions where both events A and B happen, we can put 10 blue balls into the other 3 urns, which gives (10+3-1) choose (3-1) = 66 possibilities. Therefore, the number of distributions that violate the condition is:

|A U B| = 220 + 165 - 66 = 319

and the number of distributions that satisfy the condition is:

4^20 - 319 = 1.0995116 × 10^12 - 319

Each urn has at least 1 ball: This is equivalent to distributing 20 balls into 4 urns with no empty urns. We can use the stars and bars formula to count the number of ways to distribute the balls without constraints, and then subtract the number of distributions that have at least one empty urn. The number of ways to distribute the balls without constraints is (20+4-1) choose (4-1) = 1.287×10^4. To count the number of distributions with at least one empty urn, we can use the principle of inclusion-exclusion again. Let A, B, C, and D be the events that urns 1, 2, 3, and 4 are empty, respectively. Then, the number of distributions with at least one empty urn is:

|A U B U C U D| = |A| + |B| + |C| + |D| - |A ∩ B| - |A ∩ C| - |A ∩ D| - |B ∩ C| - |B ∩ D| - |C ∩ D| + |A ∩ B ∩ C| + |A ∩ B ∩ D| + |A ∩ C ∩ D| + |B ∩ C ∩ D| - |A ∩ B ∩ C ∩ D|

Each of the individual events has the same number of possibilities, which is the number of distributions of 20 balls into 3 urns, which is (20+3-1) choose (3-1) = 231. To find the number of distributions that have two urns empty, we can choose two urns out of 4, and distribute the balls into the other two urn

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2(2x + 3) = x5

4x + 6 = -5

Solution

X= - 11/4

Answer:

x = -11/4

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             Step-by-step explanation:

First, you distribute.  

2(2x + 3) = -5.    4x + 6 = -5.

Then, you subtract 6 from both sides of the equation

4x + 6 = -5.      4x + 6 - 6 = -5 - 6.

Simplify ( Cancel terms that are in both the numerator and denominator )

DEFINITIONS and APPLICATION:
1A short answer is a concise response that directly addresses the question or prompt. It typically consists of a few sentences or a paragraph and is focused on providing a specific answer without unnecessary details or elaboration.

Example: When asked "What is the capital of France?", a short answer would be "Paris."

A 100-word response refers to providing a written explanation or description within a specific word limit of 100 words. This limitation requires the writer to be concise and selective with their information while still conveying a comprehensive understanding of the topic.

Example: If asked to describe the water cycle in 100 words, a response could include information about evaporation, condensation, precipitation, and how water moves between the Earth's surface, atmosphere, and bodies of water.

A conclusion is the final part of a written piece that summarizes the main points and provides a closing statement. It serves to wrap up the information discussed in the body of the text and leave a lasting impression on the reader.

Example: In an essay about the benefits of exercise, the conclusion may restate the key advantages, such as improved physical and mental health, increased energy levels, and reduced risk of chronic diseases, while also encouraging the reader to prioritize regular physical activity.

4. Application: In the context of these concepts, application refers to the practical use or implementation of a particular idea, theory, or skill in real-life situations. It involves taking what has been learned and using it to solve problems, make decisions, or accomplish specific tasks.

Example: If learning about the Pythagorean theorem, applying it would involve using the formula to find the length of the hypotenuse in a right triangle when given the lengths of the other two sides.

These are four of the eight concepts related to definitions and applications. Remember to provide clear explanations, relevant examples, and use a step-by-step approach when addressing each concept.

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The expression shows the volume of the given rectangular prism will be 12x³ - 75x thus option (C) will be correct.

Volume is the scalar quantity of any object that specified occupied space in 3D.

The volume of the cube = side³.

Volume has units of cube example meter³,cm³, etc.

It is known that,

The volume of the cuboid or rectangular prism = length × height × width.

Volume = (3x)(2x + 5)(2x - 5)

⇒ (3x)(4x² - 5²)

⇒3x(4x² - 25)

⇒ 12x³ - 75x

Hence "The expression shows the volume of the given rectangular prism will be 12x³ - 75x".

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Answer:

Step-by-step explanation:

Start by changing the dollars into cents.

2.07 dollars = 2.07 * 100 = 207 cents

1.64 dollars = 1.64 * 100 = 164 cents.

How much does 1 ounce cost for each?

207 cents / 48 = 4.3125 cents / oz

164 / 32 = 5.125

The better buy is the 48 fluid oz jar.

Answer:

The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)

Step-by-step explanation:

Given

\(f(x)=x^3-12x^2+35x-24\)

\(f(8) = 0\)

Required

Find all zeros of the f(x)

If \(f(8) = 0\) then:

\(x = 8\)

And \(x - 8\) is a factor

Divide f(x) by x - 8

\(\frac{f(x)}{x - 8} = \frac{x^3-12x^2+35x-24}{x - 8}\)

Expand the numerator

\(\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}\)

Rewrite as:

\(\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}\)

Factorize

\(\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}\)

Expand

\(\frac{f(x)}{x - 8} = \frac{(x^2 -x - 3x + 3)(x - 8)}{x - 8}\)

Factorize

\(\frac{f(x)}{x - 8} = \frac{(x - 1)(x - 3)(x - 8)}{x - 8}\)

\(\frac{f(x)}{x - 8} = (x - 1)(x - 3)\)

Multiply both sides by x - 8

\(f(x) = (x - 1)(x - 3)(x - 8)\)

Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)

Step-by-step explanation:

Given the expression

\(-3m - [2m + (5 - m)] + 7\)

Step one

Firstly we have to open the inner bracket we have

\(-3m - [2m + 5 - m] + 7\)

Step two

we proceed further by opening up the next bracket we have

\(-3m - 2m -5 +m+ 7\)

Step three

we then have to collect like terms of m and rearrange.

\(=-3m - 2m+m -5+ 7\\=-4m+2\\=2-4m\)

The required coordinate of the point N is (-5, -1). Option b is correct.

Given that,
Segment MN is drawn in the coordinate plane. Point M has coordinates (13,9) and the midpoint of MN is the point (4.4). What are the coordinates of point N to be determined.

Coordinate, is represented as the values on the x - axis and y - axis of the graph

Let the coordinate of point N is (x, y).
Here, point M has coordinates (13,9) and the midpoint of MN is the point (4.4).

The Coordinate of the midpoint is given as,
(4 = (x + 13)/2, 4 = (y + 9 )/2)
(x = 8 - 13, y = 8 - 9)
(x = -5 , y = -1 )
Coordinate of point N is (x, y) = (-5, -1)

Thus, the required coordinate of the point N is (-5, -1).

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Answer:

I think she has 62 buttons. she had 16 white buttons s plus 2 fewer brown than white so 16 -2 = 14 brown buttons. then she has 18 more gray than brown whixh meana which means 14 + 18 gray buttons. so that means she has 16 white plus 14 brown for a total of 62

Answer:

Postulate: ASA

Congruency Statement: ΔJML ≅ ΔNKL

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

The area under the probability distribution is a measure of the probability of all the possible outcomes. Since the sum of all the probabilities of all the possible outcomes must be 1, the total area under the probability distribution must also be 1. This is because the probability of an event happening is the area under the curve of the probability distribution at that event. Thus, the total area under the probability distribution must always equal 1.

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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The regression equation for a bivariate set of data is y = 0.5312 + 45.021 with a correlation coefficient of r = 0.352 (significant at a = 0.01).

Regression analysis is a statistical technique used to determine the relationship between a dependent variable (y) and one or more independent variables (x).

The dependent variable is plotted on the y-axis, while the independent variable is plotted on the x-axis in a regression plot. Regression analysis can be used to forecast, compare, and evaluate outcomes.

A regression equation is a mathematical formula that summarizes the relationship between two variables. The regression equation obtained from the analysis is y = 0.5312 + 45.021.

It shows that for every unit increase in x, there will be an increase in y by 0.5312 units, and the baseline value of y will be 45.021.A correlation coefficient of r = 0.352 was obtained.

A correlation coefficient indicates the strength and direction of the relationship between two variables. A value of r = 1 indicates a perfect positive relationship, while a value of r = -1 indicates a perfect negative relationship. In this case, a positive relationship exists between the two variables as r > 0.

Summary: In conclusion, the regression analysis on the bivariate set of data obtained a regression equation of y = 0.5312 + 45.021 with a correlation coefficient of r = 0.352 (significant at a = 0.01). The regression equation shows that for every unit increase in x, y will increase by 0.5312 units, and the baseline value of y will be 45.021. Additionally, a positive relationship exists between the two variables as r > 0.

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Answer: 7 + 7 + 7 = 21