Excel's __________ function can be used to compute the expected value of a discrete random variable.
a. MEDIAN
b. VAR
c. AVERAGE
d. SUMPRODUCT

The correct graph for the given system of equations is option B.

The system of equations can be written as follows:

Equation 1: 2x + y = -5

Equation 2: -3x + y = 0

To graph these equations, we can rewrite them in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

For Equation 1:

2x + y = -5

y = -2x - 5

For Equation 2:

-3x + y = 0

y = 3x

Now we can plot the graphs:

The graph of Equation 1 (y = -2x - 5) will have a negative slope (-2) and a y-intercept of -5. It will be a straight line that goes downward from left to right.

The graph of Equation 2 (y = 3x) will have a positive slope (3) and will pass through the origin (0,0). It will be a straight line that goes upward from left to right.

Comparing the given answer choices, option B is the correct choice as it correctly represents the two lines intersecting at a point, which is the solution to the system of equations.

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Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

Answer:

B. "R is 85% of the original cost."

Step-by-step explanation:

The given equation is P - 0.15P = R, where P is the original cost of the shirt and R is the discounted price that Brandon paid.

Simplifying the equation, we get:

0.85P = R

Dividing both sides by P, we get:

0.85 = R/P

Therefore, the discounted price R is 85% of the original cost P.

So, the answer is (B) "R is 85% of the original cost."

Answer:

Hey there!

If 1007 people attend, they will make a profit of 10070 dollars.

The play costed 3200 dollars to produce, so we have -3200+10070=7500 dollars as the final balance of the bank account.

Let me know if this helps :)

Answer:

Step-by-step explanation:

the correct answer is 6,870 it was d for me it might be different :)

-

Answer:

Step-by-step explanation:

uhm

The solution to the equation is x = 105/14 and y = -27/2

Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations. This implies that the simultaneous equations have a common solution.

We use different methods to solve simultaneous equations. Some of the common methods are:

By substitution method

-7x + -5y = 15 ----- 1

7x + 3y = 12 ----- 2

from equation 1

7x = -15 -5y ----- 3

substitute 7x in equation 2

-15 - 5y + 3y = 12

-2y = 12 + 15

-2y = 27

y = -27/2

To find x, substitute y in equation 3

7x = -15 - 5(-27/2)

7x = -15 + 135/2

Multiplying both sides by 2

14x = -30 + 135

14x = 105

x = 105/14

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a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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The aditive inverse of a number is given by itself multiplied by -1. Then if we have any number x its additive inverse is -x and their sum is:

Then theanswer is the second option, 0.

Answer:

The answer is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

Charges= $400

Additional charges= $7.5 per guest

let the number of guests be x

let the total cost be y

the model for the situation is given as

y=mx+C

Step two:

given that y=1600

we can solve for x as

1600=7.5x+400

1600-400=7.5x

1200=7.5x

divide both sides by 7.5 we have

x=1200/7.5

x=160

Therefore the expected guest should not be more than 160

x<=160

Answer:

c) x=126

Step-by-step explanation:

tell me if I get it right

Answer:

12.5 inches

Step-by-step explanation:

3/8 of 20 = 3/8 * 20 = 60/8 = 15/2 = 7.5

20 - 7.5 = 12.5

Answer:

12.5 inches

Step-by-step explanation:

20/8=2.5

2.5*3=7.5

20-7.5=12.5

Answer:

Step-by-step explanation:

If I found the mean, the answer would be:

3+ 4+4+4+5+6+7+23= 56

56/ 8 = 7

If I found the average value using the median, the answer would be 4.5.

In this set of data, the anomaly is 23 as it is much higher than the other numbers.

The median is more accurate because it find the more ‘central’ number and is not affected as greatly with anomalies whereas the mean is affected greatly with anomalies as it raises the value significantly.

Therefore, the median is better to work out the average in this set of data.

:)

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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Answer:

5/9

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 10 and 18 is 2.

10 ÷ 218 ÷ 2.

Reduced fraction: 59. Therefore, 10/18 simplified to lowest terms is 5/9.

Answer:

(x+a) (x-a+3)

Step-by-step explanation:

The mean of the given data set is 27.6.

So, mean:

Therefore, the mean of the given data set is 27.6.

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The correct question is given below:

One of the ideas that you have explored in previous courses is how to describe a set of data. One of the ways that you may have seen before is finding an average (also called a mean). Read the Math Notes box for this lesson to review what a mean is and how to find it. Then find the theme of the data below. The number of minutes Pam talked on the phone: 35, 40, 12, 16, 25, 10. Mean =?

Correlation analysis:

a. The variables used in the research study are "age" and "number of times eaten out in an average month." The level of measurement for age is an interval, and the level of measurement for the number of times eaten out is ratio.

b. Pretest Checklist for NormalityAge Histogram Interpretation:

A histogram with a bell curve, skewness equal to 0, and kurtosis equal to 3 indicates normality.

Mean = 45.17, Standard deviation = 14.89, Skewness = -.08, Kurtosis = -0.71.

The histogram for the age of respondents is approximately bell-shaped, indicating normality.

Number of times eaten out Histogram Interpretation:

A histogram with a bell curve, skewness equal to 0, and kurtosis equal to 3 indicates normality.

Mean = 8.38, Standard deviation = 8.77, Skewness = 2.33, Kurtosis = 9.27.

The histogram for the number of times the respondent eats out in an average month is positively skewed and not normally distributed. Therefore, it is not normally distributed.

Linearity:

Age vs. Number of times Eaten Out

Scatterplot Interpretation:

A scatterplot indicates linearity when there is a straight line and all data points are scattered along it. The scatterplot displays that the number of times respondents eat out increases as they get older. The relationship between the variables is linear and positive.

Homoscedasticity:

Age vs. Number of times Eaten OutScatterplot Interpretation: The scatterplot displays no fan-like pattern around the regression line, which indicates that the assumption of homoscedasticity is met.

c. Bivariate Correlation and Descriptive Statistics

Age and the number of times eaten out in an average month have a correlation coefficient of.

150, which is a small positive correlation and statistically insignificant (p = .077). The mean age of the respondents was 45.17 years, with a standard deviation of 14.89. The mean number of times the respondent eats out in an average month was 8.38, with a standard deviation of 8.77.

The scatterplot with regression line shows a positive slope that indicates a small and insignificant correlation between age and the number of times the respondent eats out in an average month.

d. The research study aimed to determine whether there is a correlation between age and the number of meals eaten outside the home. The data were analyzed using a bivariate correlation analysis, scatterplot with regression line, and descriptive statistics. The results indicated a small positive correlation (r = .150), but this correlation was statistically insignificant (p = .077).

The mean age of the respondents was 45.17 years, with a standard deviation of 14.89. The mean number of times the respondent eats out in an average month was 8.38, with a standard deviation of 8.77. The findings showed that there is no correlation between age and the number of times the respondent eats out in an average month.

Therefore, the researcher cannot conclude that age is a significant factor in the number of times a person eats out. The implications of the findings suggest that other factors may influence a person's decision to eat out, such as income, time constraints, and personal preferences. Further research could be done to determine what factors are significant in the decision to eat out.

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the volume of the cone.​

1/3 pi r^2h

Answer:

134.04

Step-by-step explanation:

Formula for Volume of a Cone = TT r^2 h/3

= 3.142 × 4^2 × 8/3

Answer:

y = 95°

Step-by-step explanation:

Linear pair of angles add up to 180°

120° + x = 180° [Linear pair of angles]

=> x = 180° - 120°

=> x = 60°

Sum of all angles of a triangle is 180°.

So, 25° + 60° + y = 180°

=> 85° + y = 180°

=> y = 180° - 85°

=> y = 95°

Answer:

x + 120 = 180

x = 180 - 120

× = 60

by angel sum property

25 + x + y = 180

25 + 60 + y = 180

85 + y = 180

y = 180 - 85

y = 95°

Answer:

435 pgs

Step-by-step explanation:

29 pgs per hr

29(15) pgs per 15 hr

435

Answer:

435 pgs

Step-by-step explanation:

29 x 15 = 435

Answer:

m`/_DAB` will be equal to m`/_CAB`.

Step-by-step explanation:

Correct on edmentum.

The three parts are: x = 24, y = 8, and z = 32. The first part is three times the second, and the third part is equal to the sum of the first and second.

Let's assume the three parts are x, y, and z.

According to the given conditions:

1) The first part is triple the second:

x = 3y

2) The third part is equal to the sum of the first and second:

z = x + y

We are also given that the sum of the three parts is 96:

x + y + z = 96

Now we can solve the equations simultaneously to find the values of x, y, and z.

Substituting the value of x from the first equation into the third equation:

(3y) + y + (3y + y) = 96

Simplifying the equation:

8y + 4y = 96

12y = 96

Dividing both sides by 12:

y = 96 / 12

y = 8

Now that we have the value of y, we can substitute it back into the first equation to find x:

x = 3y = 3(8) = 24

Lastly, substitute the values of x and y into the second equation to find z:

z = x + y = 24 + 8 = 32

Therefore, the three parts are:

x = 24

y = 8

z = 32

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Answer:

Option: C 50

Step-by-step explanation:

the scatter plot shows an increase of about 50

Answer:

50 :)

I know its a lot the hair the bod, when ur starin at a demi god, what can i say except ur welcome

Step-by-step explanation:

Hmmm, it can be arranged in

1 × 16 matrix

2 × 8 matrix

4 × 4 matrix

Answer:

See below.

Step-by-step explanation:

a) 9 − z + 3 − 2z                             b) 7 − 5b + 1

terms: 9, -z, 3, -2z                          terms: 7, -5b, 1

like terms: 9 & 3; -z & -2z              like terms: 7 & -1

coefficients: -1, -2                           coefficients: -5

constants: 9, 3                                constants: 7, 1

On solving the provided question we can say that - the half-life of nitrogen after 20 minutes 30 grams.

The amount of time needed for an isotope's radioactivity to decrease to half its initial value:The duration it takes for a quantity to drop to half its initial value is known as its half-life. In nuclear physics, the phrase is frequently used to indicate how rapidly unstable atoms radioactively disintegrate or how long stable atoms last. In a broader sense, the phrase is used to describe any kind of exponential decay.

The equation for calculating half-life is;

amount of substance/2 = half life

half life of nitrogen after 10 minutes

120/2 = half life

half life = 60

the half-life of nitrogen after 20 minutes

half = 60/2 = 30 grams.1

20 grams of nitrogen in radioactive form make up the entire quantity

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