Two students, Joseph and Madelyn, line up one behind the other. How many different ways can they stand in line?

A company manufactures rubber balls, random variable X in words is diameter of the rubber ball, standard deviation is -1.5 and z-score of the x = 2 is 2.123.

A random variable is a variable with an unknown value or a function that gives values to each of the results of an experiment. Random variables are frequently identified by letters and fall into one of two categories: continuous variables, which can take on any value within a continuous range, or discrete variables, which have specified values.

In probability and statistics, random variables are used to measure outcomes of a random event, and hence, can take on various values. Real numbers are often used as random variables since they must be quantifiable.

1) X denotes the diameter of the rubber ball.

So the correct option was A. (option A)

Therefore,  the random variable X in words is diameter of the rubber ball.

2) For 1.5 Standard deviations left to the mean , Z score will be -1.5

option(A)

So, standard deviation to the left of the mean is -1.5.

3) \(Z=\frac{(x-\mu)}{\sigma}\)

x=2

sigma = √2

Z = 2-(-1)/ √2

Z = 3/√2

Z = 2.123

Hence, the z-score of the x = 2 is 2.123.

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Complete question:

A company manufactures rubber balls. The mean diameter of a rubber ball is 12 cm with a standard deviation of 0.2 cm. Define the random variable X in words. X

diameter of a rubber ball

rubber balls

mean diameter of a rubber ball

12 cm

Question 2 What is the z-score of x=9, if it is 1.5 standard deviations to the left of the mean? Hint: the z-score of the mean is =0 −1.5 1.5 9 Question 3 Suppose X∼N(−1,2). What is the z-score of x=2 ? Hint: z=(x−μ)/σ 1.5 −1.5 0.2222

The first step to solve the system of equation is to solve one of the equations for one variable:

Replace this variable for the obtained expression in the other two equations:

Now, solve the system just as if it were a 2x2 system:

Make both expressions for y equal and solve for z:

Since 0 is not equal to 26/15, we can determine that this system does not have any solution.

The correct answer is No solution.

Answer:

y= -2+13

Step-by-step explanation:

You're Welcome - BigThiccDaddy21

Answer:

3 (x + 7)

Step-by-step explanation:

3 can go into 3x one time.

3 can go into 21 seven times.

Therefore when factorized it is written as:

3 (x + 7)

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

The solution is, the profit is 18.

If the profit of a company made by the company is in the form a quadratic expressions but in the different forms as given in the question.

a). The prices that give a profit of zero dollars.

   Expression that is most useful,

   Factored form: -2(p - 3)(p - 9) = 0

   p = 3, 9

b). The profit when the price is zero .

   Standard form:

   Profit = -2p² + 24p - 54 = 0

   -p² + 12p - 27 = 0

   -p² + 3p + 9p - 27 = 0

   -p(p - 3) + 9(p -3) = 0

    (-p + 9)(p - 3) = 0

    p = 3, 9

c). The price that gives the maximum profit.

  Vertex form: -2(p - 6)² + 18

  Vertex of the given expression → (6, 18)

  Maximum profit will be at p = 6.

  Therefore, profit = -2(6 - 6)² + 18 = 18

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complete question:

The profit that a company makes selling an item (in thousands of dollars) depends on the price of the item (in dollars). If p is the price of the item, then three equivalent forms for the profit are

Standard form: - 2 p^2 + 24p - 54

Factored form: -2(p - 3)(y-9)

Vertex form: -2(p-6)^2 + 18.

Which form is most useful for finding a. The prices that give a profit of zero dollars?

b. The profit when the price is zero?

c. The price that gives the maximum profit?​

Answer:

18

Step-by-step explanation:

3 x 6 = 18

you just need to plug in the value for x

Answer:

x=18

Step-by-step explanation:

if 6 is equal to "x" u just have to multiply by the times there's a x so it's 3×6=18

3x=18

Answer:

1 time

Step-by-step explanation:

This is the answer because:

1) 22 x 1 = 22

2) If we do 22 x 2, the number will become larger than 30

3) Therefore, 22 can only go one time into 30 because 30/22 = 1 R8 

Hope this helps!

Answer:

d

Step-by-step explanation:

there isnt a precise correlation between the time and the calories

We can see that the dot plot is seen below.

We can see here that An example of a graphical representation of data is a dot plot. It is a number line with dots above each value to indicate the frequency or count of that value.

Depending on the type of data being shown, the dots are often arranged either horizontally or vertically.

Dot plots are known to be useful for showing the distribution of data, particularly for small data sets.

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Answer:

x = 19

Step-by-step explanation:

In the attached file

Answer:

1,800 lbs of sand

900 lbs of gravel

600 lbs of cement

Step-by-step explanation: 11*300=3,300. 300*6=1,800, 300*3=900, and 300*2=600. This is correct because if you add 1,800+900+600 you get 3,300.

Let us take the given information in as the coordinates,

(3,11) and (5,17)

Using two point formula, find the linear equation,

Put x=6 for 6 hour job, we get,

Hence, he will earn $20 for 6 hour job.

Answer:

a   9.70 kg

b   382.61 year

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

If Triangle A ≅ Triangle B, then hypotenuse length of A would be 9 cm and the another side of triangle A is stay 6 cm.

\( {6}^{2} + {x}^{2} = {9}^{2} \)

\(36 + {x}^{2} = 81\)

\( {x}^{2} = 81 - 36 = 45\)

\(45 = 3 \sqrt{5} = x\)

Perimeter of triangle a :

\(9 + 6 + 3 \sqrt{5} = 15 + 3 \sqrt{5} \)

Hope this helps ^-^

Answer:

Step-by-step explanation:

58.6667

Answer:

The answer is 58.6667

Answer: 6x3y2

Step-by-step explanation:

The length of the ladder that is leaning on the building would be = 24ft. That is option B.

To determine the length of the ladder, the sine rule needs to be obeyed. That is

= a/sinA = b/sinB

Where;

a = 8.2 ft

A = 180-( 70+90

= 180- 160

= 20°

b = X

B = 90°

That is;

8.2/sin20° = b/sin90°

Make b the subject of formula;

b = 8.2×1/0.342020

= 23.9

= 24 ft

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Answer:

12 yards

Step-by-step explanation:

side b = √(diagonal^2 - side a^2)

Answer:

No

Step-by-step explanation:

40/10 = 4

10/40 = 0.25

9514 1404 393

Answer:

  f(x) = (x +9)(x +3)(x -10)

Step-by-step explanation:

The graph crosses the x-axis at approximately -9, -3, and +10. The factors of f(x) will be (x -p) when there is a zero crossing at x = p. For p = {-9, -3, 10} the factors are ...

  (x -(-9)) = (x +9)

  (x -(-3)) = (x +3)

  (x -10)

In general, there were more people per table on Tuesday with 8 number of people per table.

In Mathematics, a dot plot can be defined as a type of line plot that is typically used for the graphical representation of a data set above a number line, especially through the use of dots.

By critically observing the given dot plots which is used to illustrate the numbers of people per table at a bingo hall on two nights, we can reasonably infer and logically deduce that there were more people per table on Tuesday than on Wednesday.

In conclusion, there were 8 number of people per table on Tuesday while there were 5 number of people per table on Wednesday.

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Answer:

Item price now= 3.95

Step-by-step explanation:

To find out the price now, we will subtract 79 (original price) by 95% of 75. That will equal the discounted price. Finding the percentage of anything, we can use the formula, Total amount•percentage/100. The total amount is 79, and the percentage is 95. 79•95=7505, 7505/100=75.05. Now, 95% of 79 is 75.05, 79-75.05=3.95. $3.95 is the price now of the item. Though, I am unsure what a ALEKS calculator is. Have a nuce time, and joyful day

The mean and median of the given data set are 5.55 and 4.

So, the data is:

(A) Mean of data:

(B) Median of data:

Therefore, the mean and median of the given data set are 5.55 and 4.

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Using the formula of volume of a sphere and hemisphere, the volume of the figures are given as;

1. 2144.57 m³

2. 696.6 m³

3. 20569.1m³

4. 2637ft³

5. 56.5km³

6. 6381.79 in³

The volume of a sphere is given as 4/3πr³

Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.

1. The volume of the sphere is;

v = 4/3 * 3.14 * 8³ = 2144.57m³

2. The volume of the sphere is;

v = 4/3 * 3.14 * (11/2)³ = 696.6m³

3. The volume of the sphere is;

v = 4/3 * 3.14 * 17³ = 20569.1m³

4. The volume of the hemisphere is;

v = 2/3 * 3.14 * 10.8³ = 2637ft³

5. The volume of the hemisphere is;

v = 2/3 * 3.14 * 3³ = 56.5km³

6. The volume of the hemisphere is;

v = 2/3 * 3.14 * (29/2)³ = 6381.79in³

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Based on the fact that the function is f(x)=x²-16 and the domain is f(x)>0?​, the inverse of the function is f⁻¹(x) = √( x + 16).

The inverse of the function will be such that the operations in the function will be the opposite in the inverse function.

This means that f(x) will be taken to the power negative one (-1) to show that the function has been inverted to become 1/f(x).

The fact that x was being squared will then become a square root and the addition sign between x and 16 will become a square root.

This gives:

f⁻¹(x) = √( x + 16)

Full question is:

Which function is the inverse of f(x)=x²-16 if the domain is f(x)>0?​

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The key features of the dashed graph are

A graph is a pictorial representation of a function

To describe the key features of the dashed graph, we proceed as follows.

So, the key features of the dashed graph are

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x = 20

y = 7

x + 3y = 41 ...equation 1

x = 2y + 6​ ....equation 2

Using the blob method: This is another word for substitution method

Using substitution method:

Substitute x in equation 2 in equation 1

(2y + 6) + 3y = 41

2y + 6 + 3y = 41

5y + 6 = 41

5y = 41 - 6

5y = 35

y = 35/5

y = 7

Substitute for y in equation 2:

x = 2(7) + 6

x = 14 + 6

x = 20