You are sent to the store to buy sliced meat for a party. You are told to get
roast beef and turkey, and you are given $30. Roast beef is $4.29/lb and
turkey is $3.99/lb. Write an equation in standard form to relate the pounds
of each kind of meat you could buy at the store with $30.

Write an expression for how much money is spent on roast beef?

Answers

Answer 1

Answer:

The Answer is 4.29x + 3.99y = 30


Related Questions

the percentage of children ages 1 to 14 living in poverty in 1985 compared to 1991 for 12 states was gathered. part a: determine and interpret the lsrl. (3 points) part b: predict the percentage of children living in poverty in 1991 for state 13 if the percentage in 1985 was 19.5. show your work. (3 points) part c: calculate and interpret the residual for state 13 if the observed percent of poverty in 1991 was 22.7. show your work. (4 points)

Answers

Answer:

Part A: The LSRL is y^ = 7.76 + 0.6x.

Part B: y^ = 7.76 + 0.6(19.5) = 19.46

y^ = 19.46%

Part C: 22.7 - 19.46 = 3.24. The residual is 3.24. This means that the value was underpredicted. 

Step-by-step explanation:

battery lifetime is normally distributed for large samples. the mean lifetime is 500 days and the standard deviation is 61 days. approximately what percent of batteries have lifetimes more than 561 days ?

Answers

15.87 % percent of batteries have lifetimes more than 561 days.

Given:

battery lifetime is normally distributed for large samples. the mean lifetime is 500 days and the standard deviation is 61 days.

μ = 500

σ = 61

we know that

z = X - μ / σ

z score :

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

Given X = 561 days

substitute

z = 561 - 500 / 61

= 61 / 61

z = 1

At z = 1 p value is 0.8413

1 - 0.8413 = 0.1587

= 0.1587 * 100 %

= 15.87 %

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what is the probability that headway is within 1 standard deviation of the mean value? (round your answer to three decimal places.)

Answers

The probability that headway is within 1 standard deviation of the mean value is 0.890.

What is mean value?

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.

The mean of a discrete probability distribution of a random variable X is equal to the sum over all possible values weighted by the likelihood of each value. To calculate the mean, one must multiply each potential value of X by its probability P(x), then add all of these products.

Given mean value is P( 0.995 ≤ x ≤ 1.445) = F(1.445) - F(0.995).

The cdf for the distribution is

[tex]F(x)=\left \{ {{1 -\frac{1}{x^6} ,x > 1} \atop {0,x\le 1}} \right.[/tex]

Now calculate the value of F(1.445) and F(0.995).

F(1.445) = 1 - (1/(1.445)⁶)

F(0.995) = 0

Now putting the value of F(1.445) and F(0.995) in  P( 0.995 ≤ x ≤ 1.445) = F(1.445) - F(0.995):

P( 0.995 ≤ x ≤ 1.445)

=1 - (1/(1.445)⁶)  - 0

=0.890

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Convert y-8.25=(x-3) into slope intercept form

Answers

Answer:

y = x + 5.25

Step-by-step explanation:

y - 8.25 = (x - 3)

y - 8.25 = x - 3

y = x + 5.25

Could you please give me brainliest for this? Thank you!

Answer:

y = x + 5.25

Step-by-step explanation:

y - 8.25 = x - 3    Add 8.25 to both sides of the equation

y = x + 5.25

Benjamin invested $20,000 in an account paying an interest rate of 7&5/8 % compounded monthly. Kehlani invested $20,000 in an account paying an interest rate of 7&3/4 compounded quarterly. After 10 years, how much more money would Kehlani have in her account than Benjamin, to the nearest dollar?

Answers

If Benjamin invested $20,000 in an account paying an interest rate of 7&5/8 % compounded monthly. The amount of money that Kehlani have in her account than Benjamin is: $322.83.

How to find the compounded amount?

Using this formula to find the compounded amount

A = P(1+r/n)^nt

Where

A = Amount

r =Interest rate.

n =Number of years

P =Principal

Benjamin

P = $20,000

r = 7 5/8% = 7.625% = 0.07625

n = 12 months

t = 10 years

Hence,

A = 20,000 (1+0.07625/12)^12× 10

A = 20,000 (1+0.006354)^120

A = 20,000 (1.006354)^120

A = $42,768.42

Kehlani

P = $20,000

r = 7 3/4% = 7.75= 0.0775

n = 4 months

t = 10 years

Hence,

A = 20,000 (1+0.0775/4)^4× 10

A = 20,000 (1+0.019375)^40

A = 20,000 (1.019375)^40

A = $43,091.25

Difference:

Difference = $43,091.25 - $42,768.42

Difference = $322.83

Therefore the amount of money is $322.83.

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Answer:322

Step-by-step explanation:

what is the estimate of 26% of 78

Answers

26% of 78

= 26*(1/100)*78

=(26/100)*78

=0.26*78 = 20.28

so, the required answer is 20.28.

what is percentage?

answer: The quantity of something represented as if it were a portion of a sum total of 100; a portion or share of a whole.

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Elsa is a software saleswoman. Her monthly salary is $1500 plus an additional $70 for every copy of History is Fun she sells.
Let S represent her total salary this month (in dollars), and let N represent the number of copies of History is Fun she sells. Write an equation relating S to N, and then graph your equation using the axes below.

Answers

Answer:

Step-by-step explanation:

rawr u fel me

$1500+($70xN)=S
S= total salary
N= number of copies
$1500=monthly salary without additional money
$70=how much money one History is fun sold makes her earn

the mean score of 888 players in a basketball game was 14.514.514, point, 5 points. if the highest individual score is removed, the mean score of the remaining 777 players becomes 121212 points. what was the highest score?

Answers

The highest score is 12794706708

What is mean ?

The average of a set of data is referred to as the mean in statistics and arithmetic. The simple arithmetic mean, geometric mean, and harmonic mean are some of the methods that can be used to calculate the mean. The basic arithmetic mean involves adding the numbers together and dividing the result by the number of observations.

At first (remaining + top player) /888 = 14514514

So remaining + top = 12888888432

Now after removing top

Remaining/777 = 121212

Remaining = 94181724

So top = 12888888432 - 94181724

           = 12794706708

12794706708 is the score of the top player

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You roll two dice, one red and one green. Losing combinations are doubles (both dice showing the same number) and outcomes in which the green die shows an odd number and the red die shows an even number. The other combinations are winning ones. E is the event that you roll a winning combination.

Answers

The likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are only two outcomes when you flip a coin: either it comes up heads or tails.

Here,

If the first die is red and the second one is green, then the sample space S is the following:

S=

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2, 1), (2,2), (2,3), (2,4), (2,5), (2,6), (3, 1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5, 1), (5,2), (5,3), (5,4), (5,5), (5,6), (6, 1), (6, 2), (6,3), (6,4), (6,5), (6,6)

Hence n(S)=36.

Let's list the losing combinations:

E={(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (2, 1),

(2, 3), (2, 5), (4, 1), (4, 3), (4, 5), (6, 1), (6, 3), (6,5)}

n(E)=15

There are 36 total possiblities.

Out of which, winning probability is 21.

=21/36

=7/12

Given that the winning combination is 21 and the total combination is 36, the chance of rolling a winning combination is 7/12.

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HELP!!! My question is "determine whether each ratio is equivalent to 1/2 3/9 or 5/7. Thee ratios are : 2/6,3/6,5/10,10/14,50/100,20/28,1/3,8/24. please show how to do the work with the answer!!​

Answers

Answers:

Ratios equivalent to 1/2 are...

3/65/1050/100

Ratios equivalent to 3/9 are...

2/61/38/24

Ratios equivalent to 5/7 are...

10/1420/28

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

Explanation:

Let's see if 2/6 is equivalent to 1/2. For now, let's assume they are equal fractions. If so, then,

2/6 = 1/2

2*2 = 6*1 ... cross multiplying

4 = 6

The last equation is of course false, which then causes a domino effect to make the first equation false as well. This means 2/6 is not equivalent to 1/2.

You can use a calculator to find that

2/6 = 0.3333 approximately1/2 = 0.5 exactly

Which is another way to see how the fractions aren't the same.

----------------

Let's check to see if 2/6 is equivalent to 3/9.

2/6 = 3/9

2*9 = 6*3 ... cross multiplying

18 = 18

We get the same thing on both sides, which means the third equation is true. By extension, the first equation is true as well. We have shown that 2/6 and 3/9 are equivalent.

Take note how both of those fractions reduce to 1/3, which is another way to see how they are equivalent.

Yet another way is to use a calculator to find that

2/6 = 0.3333...3/9 = 0.3333...

Both approximate decimal values involve '3's going on forever.

Apply any of the methods discussed to check the other values, so you can properly sort each ratio mentioned. Let me know if you have any questions.

A researcher wishes to calculate the height of patients suffering from a heart disease. From patient records, the mean was computed to be 156cm, with a standard deviation of 5cm. Further investigation reveals that the scale was misaligned, and that all readings are 2cm too large, for example, a patient whose height is really 180cm was measured as 182 cm. Furthermore, the researcher would like to work with statistics based on meters (1 meter= 100 centimeters). What would be the revised values for the mean and standard deviation of the patients’ height?

Answers

The revised values of the mean and standard deviation are respectively; 154 cm and 5 cm

What is the mean and standard deviation?

Let us assume that the number of Patients is denoted as P. We are given;

Mean = 156 cm

We know that mean here is gotten from the formula;

Mean = Total height/number of patients

Thus;

Total Height = 156P  cm

We are told that each height was measured 2 cm more. Thus;

Total height reduction = 2P cm

Thus;

Actual Total Height = 156P - 2P = 154P cm

Mean = 154P/P  = 154  cm

Therefore, as each reading and mean both have shifted by 2 then Standard deviation will remain same as 5cm

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A class has 20 women and 16 men. In how many ways can you (a) put all the students in a row? (b) put 7 of the students in a row? (c) put all the students in a row if all the women are on the left and all the men are on the right?

Answers

Part a: All the students in a row = 36!.

Part b: 7 of the students in a row; 36 x 35 x 34 x 33 x 32 x 31 x 30.

Part c: women on the left = 20! x 16!

Explain the term combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the orientation of the selection is irrelevant. You can choose the component of combos in any order. Permutations and combinations can be jumbled up.

For the stated question-

The class contains-

20 women16 menTotal students = 36

Part a: all the students in a row.

Number of ways = 36!

Part b: 7 of the students in a row.

Number of ways = 36 x 35 x 34 x 33 x 32 x 31 x 30

Part c: All the students in a row if all the women are on the left and all the men are on the right.

women on the left = 20! x 16!

Thus, the number of ways in which all the students in a row if all the women are on the left and all the men are on the right is; 20! x 16!.

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The graph shows a scatter plot for a set of data. Scatter plot with x-axis labeled year and y-axis labeled megawatts. The 18 points plotted are 1982 and 76.2, 1983 and 50.6, 1984 and 46.4, 1985 and 35.5, 1986 and 31.1, 1987 and 26.1, 1988 and 21, 1989 and 15.6, 1990 and 14.9, 1991 and 13.8, 1992 and 13, 1993 and 13, 1994 and 10, 1995 and 10, 1996 and 7, 1997 and 6.9, 1998 and 6.6, and 1999 and 6.
What type of correlation exists? Is the model linear or non-linear?
The graph shows a negative correlation, and it is a linear model.
The graph shows a positive correlation, and it is a linear model.
The graph shows a negative correlation, and it is a non-linear model.
The graph shows a positive correlation, and it is a non-linear model.

Answers

The graph shows a negative correlation, and it is a non-linear model.

What is positive and negative correlation?

When two variables behave in unison, rising or falling in lockstep with one another, there is a positive correlation. When two variables move in opposition to one another—that is, when one rises, the other falls—this is known as a negative correlation.

As given data from the graph, y values goes decrease with increasing x values.

So, we can conclude that the graph shows a negative correlation.

And, the given data in the graph are not linear.

Hence, the graph shows a negative correlation, and it is a non-linear model.

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Answer:

The graph shows a negative correlation, and it is a non-linear model.

Step-by-step explanation:

If a line has a slope of 8 and includes the points (9, u) and (10, –1). What is the value of u?

Answers

The value of u that completes the ordered pairs is -9

How to calculate the value of u?

From the question, the points are given as

(9, u) and (10, -1)

Slope = 8

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (9, u) and (10, -1)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (9, u) and (10, -1)

Substitute the known values in the above equation

So, we have the following equation

8 = (u + 1)/(9 - 10)

Evaluate

u + 1 = -8

So, we have

u = -9

Hence, the value of u is -9

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y-x=2x-2/3x linear or nonlinear explain

Answers

Answer:

it is linear

Step-by-step explanation:

if you add x on both sides, you can get rid of the -x on the left side, and you are left with a linear equation in slope intercept form

y=7/3x

Members of a lacrosse team raised $1581. 75 to go to a tournament. They rented a bus for $968. 50 and budgeted $55. 75 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.

Answers

The equation to determine the number of players is (x-y)/z and there are 11 players in total.

What does a math equation mean?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign.

Given: Lacrosse players raised $1581.75 to attend a tournament. They allocated $968.50 for the bus rental and $55.75 for each player's meals.

Let,

x = amount raised to attend a tournament.

y = amount allocated for bus rental

z = amount for each player's meals

Number of players = (x-y)/z

                               = (1581.75-968.50)/55.75

                               = 613.25/55.75

                               = 11

Therefore, the equation to determine the number of players is (x-y)/z and there are 11 players in total.

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Hello can someone help me with this question please

Answers

The exponential equation that models the population of the bacteria is:

y = 5*(7)^x

How to write the exponential equation?

The general exponential equation is of the form:

y = A*(b)^x

Where A is the initial value, b is the base, and x is the variable.

Initially, Zach counted 5 bacteria, then:

A = 5

And we know that after one hour, Zach saw 35 bacteria, then we can write the equation:

35 = 5*(b)^1

35 = 5*b

35/5  =b

7 = b

Then the exponential equation is:

y = 5*(7)^x

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Pentagon PQRST is a scale drawing of pentagon ABCDE.

Answers

In the scale drawing of the 2 pentagons the value of x is 3

How to find the value of x

To find the value of x in the pentagon, the scale factor is first determined

The scale factor is solved for as follows

AB * r = PQ

in the figure AB = 5 and PQ =2.5

5r = 2.5

r = 2.5 / 5

r = 0.5

Using the scale factor r = 0.5

6 * r = x

6 * 0.5 = x

3 = x

x = 3

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Select ALL the correct answers.
The graph shows a linear relationship.



Select all the true statements.

A right triangle with its hypotenuse along the line from (4,2) to (8,4) has legs measuring 4 units and 2 units.
A right triangle with its hypotenuse along the line from (2,1) to (4,2) has legs measuring 3 units and 1 unit.
A right triangle with its hypotenuse along the line from (2,1) to (4,2) has legs measuring 2 units and 1 unit.
A right triangle with its hypotenuse along the line from (2,1) to (6,3) has legs measuring 4 units and 1 unit.
A right triangle with its hypotenuse along the line from (4,2) to (8,4) has legs measuring 4 units and 3 units.

Answers

The true statements regarding the linear function are given as follows:

A right triangle with its hypotenuse along the line from (4,2) to (8,4) has legs measuring 4 units and 2 units.A right triangle with its hypotenuse along the line from (2,1) to (4,2) has legs measuring 2 units and 1 unit.

What is correct regarding the linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the coefficients of the function are given as follows:

m is the slope of the function, representing the rate of change.b is the y-intercept of the function, representing the value of y when the function crosses the y-axis.

In this problem, the function crosses the y-axis at the origin, hence the intercept is given as follows:

b = 0.

When x increases by one, y increases by 2, hence the slope is of:

m = 2.

Considering the slope, it means that the ratio of the legs of the right triangle with it's hypotenuse along the line is of 2.

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What is the result when the number 8 is decreased by 25%?

Answers

Answer:

6

Step-by-step explanation:

8 * (1.0 - .25) = 6

Answer: 6

Step-by-step explanation: 8 - 4 is equivalent to 8 - 50%, cut 4 in half which gives 2, 2 is 25% of 8, so 8 - 2 = 6

The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out to see whether this is the case. What conclusion is appropriate in each of the following situations? (a) n 15 t 1.66 a 0.05 o Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in o Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in o Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in o Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in

Answers

The null hypothesis must be rejected as there is enough evidence that the diameter differs from 0.5 inches.

Given values are

The population mean is  0.5 inches

The Null hypothesis is  : H₀ : μ = 0.5 inches

The Alternative hypothesis is  given by Hₐ : μ ≠ 0.5 inches

Now let us consider the parameter given:

sample size is  n =  15  

test statistics is  t =  1.66

The level of significance : α = 0.05

The degree of freedom: df = n-1 = 15 -1 =14

Calculating the critical value : [tex]t_\frac{\alpha}{2} ,df[/tex] = 2.145

We are using the critical value of [tex]t_\frac{\alpha}{2}[/tex] as the test is one-tailed .

Comparing the value of  t and [tex]t_\frac{\alpha}{2}[/tex] we can see that : [tex]t < t_\frac{\alpha}{2}[/tex]

Hence the null hypothesis can be rejected.

Given that the value of t does not fall within the range covered by (i.e., the range from -2.145 to the bottom of the normal distribution curve), we are unable to reject the null hypothesis.

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when 40 is subtracted from the square of a number, the result is 3 times the number. Find the positive solution.​

Answers

Answer:

5

Step-by-step explanation:

Let x be that number.

(x^2) - 40 = 3x

x^2 - 40 = 3x

x*2-3x-40=0

(x-5)(x+8)=0

x=5

4. A room is 10 ft by 12 ft. How many square yards are in the room?
The area of the room is 120 ft² (area = length x width).

Answers

The room is 10 ft by 12 ft

The area of the room = 120 sq ft

1 yard= 3 feet

1 square yard=9 sq feet

The area of the room = 120 sq ft or 120/9=13.33 sq yards

Answer: 13.33 sq yards

What is the smallest value or
lower extreme?

A. 304
B. 100
C. 400

Answers

Answer:

B. 100

Step-by-step explanation:

The lower extreme is the number in line with the left most dot.

In an all boys school, the heights of the student body are normally distributed with a mean of 68 inches and a standard deviation of 4. 5 inches. Using the empirical rule, what percentage of the boys are between 54. 5 and 81. 5 inches tall?.

Answers

According to the empirical law of statistics, 99.7% of the males are between 54.5" and 81.5" tall.

What is empirical rule?

The 68-95-99.7 rule, also known as the empirical rule, indicates where most of the values in a normal distribution are distributed: The majority of values—about 68%—fall within the range of the mean. The average value is within two standard deviations for about 95% of the data. Almost all values, 99.7% of them, fall within a 3 standard deviation range.

Here,

mean=68 inch

standard deviation=4.5 inch

The first part of the empirical rule states that 68% of the data values will fall within 1 standard deviation of the mean. To calculate "within 1 standard deviation," you need to subtract 1 standard deviation from the mean, then add 1 standard deviation to the mean. That will give you the range for 68% of the data values.

68−4.5=63.5

68+4.5=72.5

The range of numbers is 63.5 to 72.5

The second part of the empirical rule states that 95% of the data values will fall within 2 standard deviations of the mean. To calculate "within 2 standard deviations," you need to subtract 2 standard deviations from the mean, then add 2 standard deviations to the mean. That will give you the range for 95% of the data values.

68−2⋅4.5=59

68+2⋅4.5=77

The range of numbers is 59 to 77

Finally, the last part of the empirical rule states that 99.7% of the data values will fall within 3 standard deviations of the mean. To calculate "within 3 standard deviations," you need to subtract 3 standard deviations from the mean, then add 3 standard deviations to the mean. That will give you the range for 99.7% of the data values.

68−3⋅4.5=54.5

68+3⋅4.5=81.5

The range of numbers is 54.5 to 81.5

99.7% of the boys are between 54. 5 and 81. 5 inches tall using the empirical rule of statistics.

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a researcher studies language development by selecting a sample of two-year-old children and giving them a language skill test. each year for the next two years, the children are brought back and tested again. the researcher plans to compare the children's scores at age two, age three, and age four. this study is an example of a(n) .

Answers

The given study is an example of longitudinal developmental design.

Longitudinal developmental research design  analyzes progress by observing or measuring a group of people over time. As a consequence, it assesses changes in behavior according  to age over time by examining one group of participants of about the same age.

The same people's behavior is examined over time using longitudinal research designs. For instance, using our example of examining the relationship between intellect and aging, a scientist would carry out a longitudinal study to see whether 20-year-olds lose IQ as they get older.

Hence we get the required answer.

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which relationships describe angles 1 and 2? select each correct answer. responses complementary angles complementary angles adjacent angles adjacent angles vertical angles vertical angles supplementary angles supplementary angles a line goes left to right with a ray in the middle creating a right angle and another ray between the right angle with a one labeling the left angle and a two labeling the right angle

Answers

Angles 1 and 2 are neighboring, hence the fourth choice is accurate. Angles 1 and 2 are adjacent.

The term "Angle" refers to the separation between line segments or rays that converge at a single point.

The following may be said about angles 1 & 2:

In a line that proceeds from left to right, there is a ray in the middle that forms a right angle, a second ray between the two right angles, and one light that labels both the left angle and the right angle.

We can draw just as in the image.

Angles 1 and 2 are neighboring because they share a vertex, as seen in the image.

Angle 2 equals 90 degrees

Angle 1 equals 45 degrees

Angles 1 and 2 are adjacent, so option 4 is correct because it describes the relationship between them.

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Given the following probability distributions:
Distribution A Distribution B x p(x) x p(x)
0 .50 0 0.05
1 .20 1 0.10
2 .15 2 0.15
3 .10 3 0.20
4 .05 4 0.50
a. Compute the expected value for each distribution.
b. Compute the standard deviation for each distribution.
c. Compare the results of distributions A and B.

Answers

a) The expected value for distribution A is equal to 1 and expected value for distribution B is equal to 3. b) The value of standard deviation of two distributions is same. c)  A is less than the expected value for the distribution B.

The calculation for expected value of distribution of A is given as,

E(X) = ∑[tex]^{n}[/tex][tex]_{i=1}[/tex]= [tex]X_{i}[/tex]. P (X=x)

       =0⋅ (0.50 )+1⋅(0.20)+....+4⋅0.05=1

E(X) = ∑i=1nXi.P(X=x)=0⋅(0.50)+1⋅(0.20)+....+4⋅(0.05)=1

The calculation for expected value of distribution of B is given as,

E(X)=n∑i=1 Xi.P(X=x)

      =0⋅(0.05)+1⋅(0.1)+....+4⋅(0.50)=3

E(X)=∑i=1nXi.P(X=x)=0⋅(0.05)+1⋅(0.10)+....+4⋅(0.50)

     =3

Therefore, the expected value for distribution A is equal to 1 and expected value for distribution B is equal to 3.

(b) The formula for standard deviation is given as,

σ=√E(X2)−E(X))2

The calculation for the E(X2) of distribution A is given as,

E(X2)=n∑i=1 X2i⋅P(X=x)

        =02⋅(0.50)+12⋅(0.20)2+.....+42⋅(0.05)=2.5

The calculation for the E(X2) of distribution B is given as,

E(X2)=n∑i=1 X2i⋅P(X=x)

        =02⋅ 0.05)+12⋅(0.10)+......+42⋅(0.50)

        =10.5

E(X2)=∑i=1nXi2⋅P(X=x)=02⋅(0.05)+12⋅(0.10)2+......+42⋅(0.50)

       =10.5

The value of standard deviation for the distribution A is given as,

σA=√2.5−12

   =1.225

The value of standard deviation for the distribution B is given as,

σB=√10.5−32

   = 1.225

Therefore, the value of standard deviation of two distributions is same.

(c) The expected value for distribution A is less than the expected value for the distribution B. The standard deviation is same for both distributions; the spread between both the distributions is same. Therefore, the distribution B is better than distribution A.

To know more about the probability refer to the link given below:

https://brainly.com/question/13604758

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pick true or false.
Inequality True False
6.1<6.1
−2≤−2
5.6≥5.6
-4 > 4

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