Joe is training for a race in 30 days. He needs to run a total of 135 miles. How many miles will Joe need to run each day to be ready for the race?


Please explain

Thank you

The number of possible combinations of main course and desert are { PF, PT, PM, BF, BT, BM, CF, CT, CM} .

The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination.

The possible choices for deserts are 3 and that for main course is 3. So the total combinations possible are:

3 * 3 = 9 combinations.

Hence the combinations can be as follows:

{ PF, PT, PM, BF, BT, BM, CF, CT, CM}

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The distribution for X is a negative binomial distribution, denoted as nb(x;6, 188​), with parameters r = 6 (number of successes), p = 8/18 (probability of success in each trial).

To compute the probabilities:

P(X = 2): nb(2;6, 8/18)

P(X ≤ 2): nb(0;6, 8/18) + nb(1;6, 8/18) + nb(2;6, 8/18)

P(X ≥ 2): 1 - P(X < 2) = 1 - P(X ≤ 1)

To calculate the mean value and standard deviation of X:

Mean (μ) = r * (1 - p) / p

Standard Deviation (σ) = sqrt(r * (1 - p) / (p^2))

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Answer:

68

Step-by-step explanation:

Find the scale Factor:

What do you do to 10 to make it 4?

Divide by 2.5 or Multiply by 0.4

Since, Scale factors are always written as multiplications, use x 0.4

Find the area of the smaller pentagon:

Value 1 x Scale Factor = Area of larger pentagon x 0.4 = 68.8 ≈ 68

Hope this helps

i think that the answer is  B. 2x-60

Regression analysis is a statistical technique used to predict the value of a quantitative variable based on another quantitative variable i.e., the given statement is true.

Regression analysis is widely used when there is an interest in understanding how one quantitative variable, known as the dependent variable or response variable, is influenced by another quantitative variable, known as the independent variable or predictor variable.

The goal is to establish a mathematical relationship between the variables that can be used for prediction and inference.

In regression analysis, a model is built based on the observed data to estimate the relationship between the variables. The model takes into account the variability in the data and provides insights into the strength and direction of the relationship.

By analyzing the model's coefficients, such as the slope and intercept, predictions can be made about the dependent variable's values for different levels of the independent variable.

Regression analysis allows for the assessment of the significance of the relationship, the quantification of the effect of the predictor variable on the response variable, and the estimation of the prediction accuracy.

It provides a valuable tool for making informed decisions, conducting research, and understanding the underlying factors that contribute to the variability of the dependent variable.

Therefore, it is true that regression analysis is useful when predicting the value of a quantitative variable based on another quantitative variable.

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The  total distance traveled by the "super ball" is 49 meters.

1. First bounce: The ball drops from 16 meters above the ground and rises to \(\(\frac{3}{4}\)\) of that height.

Distance traveled in the first bounce:

\(\[16 + \frac{3}{4} \times 16\]\)

2. Second bounce: The ball drops from the new height and rises to \(\frac{3}{4}\)\) of that height.

Distance traveled in the second bounce:

\(\[\left(\frac{3}{4} \times 16\right) + \frac{3}{4} \times \left(\frac{3}{4} \times 16\right)\]\)

3. Third bounce: The ball drops from the new height and rises to \(\(\frac{3}{4}\\) ) of that height.

Distance traveled in the third bounce:

\(\[\left(\frac{3}{4} \times \left(\frac{3}{4} \times 16\right)\right) + \frac{3}{4} \times \left(\frac{3}{4} \times \left(\frac{3}{4} \times 16\right)\right)\]\)

Now, the total distance traveled

\(\[ \text{Total distance traveled} = \left(16 + \frac{3}{4} \times 16\right) + \left(\frac{3}{4} \times 16 + \frac{3}{4} \times \left(\frac{3}{4} \times 16\right)\right)\)

                                         \(+ \left(\frac{3}{4} \times \left(\frac{3}{4} \times 16\right) + \frac{3}{4} \times \left(\frac{3}{4} \times \left(\frac{3}{4} \times 16\right)\right)\right) \]\)

\(\[\text{Total distance traveled} = 16 + 12 + 9 + \frac{27}{4} + \frac{81}{16}\]\)

\(\[\text{Total distance traveled} = 16 + 12 + 9 + \frac{27}{4} + \frac{81}{16}\)

                                       \(= 16 + 12 + 9 + \frac{108}{16} + \frac{81}{16} \]\)

\(\[\text{Total distance traveled} = 16 + 12 + 9 + \frac{108 + 81}{16}\)

                                    \(= 16 + 12 + 9 + \frac{189}{16} \]\)

Add the whole numbers and fractions separately:

\(\[\text{Total distance traveled} = 37 + \frac{189}{16}\]\)

Now, convert the improper fraction to a mixed fraction:

\(\[ \frac{189}{16} = 11\frac{13}{16} \]\)

Finally, add the whole number and the mixed fraction:

\(\[ \text{Total distance traveled} = 37 + 11\frac{13}{16} \]\)

So, the total distance traveled by the "super ball" is :

\(\[ \text{Total distance traveled} = 37 + 12 = 49 \text{ meters} \]\)

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Answer:

X >= 6.7

Step-by-step explanation:

So first of all, what you need is write out the equation from the given prompt

x + 2.7 >= 9.4
Next, what you really want to do is

Subtract 2.7 both side
x >= 9.4 - 2.7
x >= 6.7

Answer:

Those markings represent "absolute value"

It basically means to remove any negative sign in front of a number, and to think of all numbers as positive.

Answer:

The second choice

Step-by-step explanation:

Try to plug in the numbers and see

Answer:

x = cz - yw / y - c

Step-by-step explanation:

yx + yw = cx + cz

yx - cx = cz - yw

x(y - c) = cz - yw

x = cz - yw / y - c

Answer:

Step-by-step explanation: If the ratio of the side length to the base length of an isosceles triangle is 5:3, and the base length is 8 cm, then we can find the length of the sides as follows:

Let x be the length of each of the equal sides. Then, we have:

5/3 = x/8

Multiplying both sides by 8, we get:

x = (5/3)*8 = 40/3

So, each of the equal sides has a length of 40/3 cm.

To find the perimeter of the triangle, we can add up the lengths of all three sides:

Perimeter = x + x + 8 = 2x + 8

Substituting the value of x, we get:

Perimeter = 2*(40/3) + 8 = 80/3 + 24/3 = 104/3

So, the perimeter of the triangle is 104/3 cm, and each of the equal sides has a length of 40/3 cm.

========================================================

Work Shown:

We have a triangle with sides a,b,c such that

The third side c can be represented by this inequality

b-a < c < b+a

which is a modified form of the triangle inequality theorem.

Plug in the given values to get

b-a < c < b+a

20-17 < c < 20+17

3 < c < 37

The third side length is between 3 and 37; it cannot equal 3, and it cannot equal 37. So we exclude both endpoints.

Of the answer choices, the values {7,20, 12} are in the range 3 < c < 37.

The value c = 37 is not in the range 3 < c < 37 because we can't have the third side equal to either endpoint. Otherwise, we get a straight line instead of a triangle forming.

So that's why 37 is the only possible answer here.

Answer:

You find the surface area with:

10*2+10*2+4*2+4*2+2*2+2*2+4*7+4*7+4*4+4*4 or in short 152 in^2.

Answer:

((9+4)/0.25)-10.4 ÷4 && 52-2.6

Step-by-step explanation:

Step 3 should be ((9+4)/0.25)-10.4 ÷4

step 6 should be 52-2.6

The average value of the function f(x) = \(3x^2\) - 4x on the interval [0, 3] is c. 3. To find the average value of the function f(x) = \(3x^2\) - 4x on the interval [0, 3], we need to compute the definite integral of the function over the given interval and divide it by the length of the interval.

The average value of a function f(x) on the interval [a, b] is given by the formula:

Average value = (1 / (b - a)) * ∫[a to b] f(x) dx

In this case, we have the function f(x) = \(3x^2\) - 4x and the interval [0, 3]. To find the average value, we need to evaluate the definite integral of f(x) over the interval [0, 3] and divide it by the length of the interval, which is 3 - 0 = 3.

Computing the definite integral, we have:

∫[0 to 3] (\(3x^2\) - 4x) dx = \([x^3 - 2x^2]\) evaluated from 0 to 3

= \((3^3 - 2(3^2)) - (0^3 - 2(0^2))\)

= (27 - 18) - (0 - 0)

= 9

Finally, we divide the result by the length of the interval:

Average value = 9 / 3 = 3

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The number of times that Derrick batted last season is 188 times.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency. The sign used to denote percentage is %.

A percentage of 25% here means that twenty five times out of hundred times, Derrick hit the ball. In order to convert a percentage to a decimal, divide the percentage by 100.

Number of times Derrick bat last season = Number of hits last season / percentage of his batting average

47 / 25%

47 / 0.25 = 188

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a. The equation representing the cost of buying and operating the Super Cool X1400 is: C = 800 + 60m. b. The equation representing the cost of buying and operating the Efficient Energy X2000 is: C = 1200 + 40m. c. Your family would have to use the Efficient Energy model for 10 months to compensate for the additional cost of the original purchase. d. Figuring your family will only use the air conditioner for four months each year, you would have to wait 5 years to start saving money overall.

a. The cost of buying the Super Cool X1400 is a one-time expense of $800. Additionally, the cost of operating it is $60 per month. Therefore, the equation representing the cost C as a function of months m is C = 800 + 60m.

b. The cost of buying the Efficient Energy X2000 is a one-time expense of $1200. The operating cost is $40 per month. Hence, the equation representing the cost C as a function of months m is C = 1200 + 40m.

c. To compensate for the additional cost of the original purchase (which is $400), we equate the two cost equations and solve for m:

800 + 60m = 1200 + 40m

20m = 400

m = 20

Therefore, your family would have to use the Efficient Energy model for 20 months (or 10 months more than the Super Cool X1400) to compensate for the additional cost.

d. Considering your family only uses the air conditioner for four months each year, we divide the total number of months (20) by four to find the number of years needed to start saving money overall:

20 months / 4 months/year = 5 years

Hence, you would have to wait 5 years to start saving money overall by choosing the Efficient Energy X2000.

a. The cost of buying and operating the Super Cool X1400 is represented by the equation C = 800 + 60m.

b. The cost of buying and operating the Efficient Energy X2000 is represented by the equation C = 1200 + 40m.

c. Your family would have to use the Efficient Energy model for 10 months to compensate for the additional cost of the original purchase.

d. Assuming your family uses the air conditioner for four months each year, you would have to wait 5 years to start saving money overall by choosing the Efficient Energy X2000.

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complete question- Your family plans to buy a new air conditioner. They can buy the Super Cool X1400 for $800, or they can buy the Efficient Energy X2000 for $1200. Both models will cool your home equally well, but the Efficient Energy model is less expensive to operate. The Super Cool X1400 will cost $60 per month to operate, while the Efficient Energy X2000 costs only $40 per month to operate. a. Write an equation to represent the cost of buying and operating the Super Cool X1400 where C= cost and m= months. b. Write an equation to represent the cost of buying and operating the Efficient Energy X2000. c. How many months would your family have to use the Efficient Energy model to compensate for the additional cost of the original purchase? d. Figuring your family will only use the air conditioner for four months each year, how many years ill you have to wait to start saving money overall?

Answer:

180

Step-by-step explanation:

(a/2) + (360-a)/2 = (360-a+a)/2 = 360/2 = 180

Answer:

The answer is (4, 1)

Step-by-step explanation:

I hope this helps have a good day.

Answer:

My guess is D

Step-by-step explanation:

As far as im concerned thatis mybest choice

Answer:

I AM GUESSING ITS GONNA BE 39.6

Step-by-step explanation:because 40% of 99 is 39.6

Step-by-step explanation:

We know that

Circumference of the Circle= 2πr

Also 2r=d

Hence Circumference of the given circle= πd= (22/7)×28=22×4=88 ft

Since it is not a perfect square that would factor the expression entirely, 12 would be the correct answer.

Math allows for addition, subtraction, multiplication, and division. Following is the structure of an expression: Calculator, number or variable, and expression The components of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) You can contrast phrases and expressions.

given

the correct value would be 12 as

it is not a perfect square that would make the expression completely factored.

Since it is not a perfect square that would factor the expression entirely, 12 would be the correct answer.

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Step-by-step explanation:

15 dollar for each

15*70*12

then 84*70

total amount. the above

Answer:

:>

Step-by-step explanation:

15 dollar for each

15*70*12

then 84*70

total amount. the above

The value of x from the given expression is -8

Given the following expressions;

AB = 2x +22

BC= 3

AC = X+17

Using the addition postulate, we will have;

AB + BC = AC

Substitute the given parameters

2x+22+3 = x + 17

Collect the like terms

2x-x = 17 - 25

x = -8

Hence the value of x from the given expression is -8

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The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.

a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.

Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:

f(x) = x - 0.37x

Simplifying the equation:

f(x) = 0.63x

b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:

x0 = 41 grams

c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.

For n hours, the solution is given by:

xn = f^n(x0)

Applying the updating function f(x) repeatedly for n times:

xn = f(f(f(...f(x0))))

In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:

xn = (0.63)^n * x0

Substituting the initial condition x0 = 41 grams, the solution becomes:

xn = (0.63)^n * 41 grams

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