At a certain bakery, the price of each doughnut is $1.50. Let the random variable D represent the number of doughnuts a typical customer purchases each day. The expected value and variance of the probability distribution of D are 2.6 doughnuts and 3.6 (doughnuts)2 , respectively. Let the random variable P represent the price of the doughnuts that a typical customer purchases each day. Which of the following is the standard deviation, in dollars, of the probability distribution of P ? 1.5(3.6) 1.5(3.6) A 1.53.6−−−√ 1.53.6 B 1.5(3.6)−−−−−−√ 1.5(3.6) C 1.5(2.6) 1.5(2.6) D 1.52.6−−−√ 1.52.6 E

Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.

Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.

Here,

It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."

If City A is more reliable than City B, then City A will have a lower standard deviation.

A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.

So, the appropriate answer is:

The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.

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Answer:

2" 4 3"9 4"16 5"25 6"36 7"49 8"64 9"81 10"100

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Area of rectangle = length×breadth

The probability of a student being chosen at random and taking exactly one language class is 65%.

Probability is the likelihood or chance of an event happening. In this case, the event is a student taking exactly one language class.

First, we need to find the total number of students taking at least one language class. We have 28 students in the Spanish class, 26 students in the French class, and 16 in the German class. However, some students are taking multiple classes, so we need to subtract these students from the total. The 12 students taking both Spanish and French, 4 taking both Spanish and German, and 6 taking both French and German should only be counted once. In addition, the 2 students taking all three classes should also only be counted once.

So, the total number of students taking at least one language class is

=> 28 + 26 + 16 - 12 - 4 - 6 + 2 = 40 students.

To find the number of students taking Spanish only, we need to subtract the number of students taking both Spanish and French (12) and the number of students taking both Spanish and German (4) from the number of students taking Spanish (28).

So, the number of students taking Spanish only is

=> 28 - 12 - 4 = 12 students.

Similarly, the number of students taking French only is

=> 26 - 12 - 6 = 8 students

and the number of students taking German only is

=> 16 - 4 - 6 = 6 students.

Finally, to find the probability of a student being chosen at random and taking exactly one language class, we divide the number of students taking exactly one language class by the total number of students taking at least one language class.

So, the probability of a student taking exactly one language class is

=> (12 + 8 + 6) / 40 = 26 / 40 = 0.65 or 65%.

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Complete Question:

An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. The classes are open to any of the 100 students in the school. There are 28 students in the Spanish class, 26 students in the French class,, and 16 in the German class. There are 12 students that are in both Spanish and French, 4 that are in both Spanish and German, and 6 that are in both French and German. In addition, there are 2 students taking all 3 classes.

If a student is chosen randomly, what is the probability that he or she is taking exactly one language class?

Answer:

5x-27y=-2

Step-by-step explanation:

-2x+7x=5x

y-3y=-27y

0-2=-2

5x-27y=-2

Answer:

52%

Step-by-step explanation:

Its 52% because, right now its out of .50. So im doubling everything to make it into 100. It makes it easier. So .26 doubles is 52. Its B

Answer:

x = -4i and x = 4i, also x = 4

Step-by-step explanation:

Rewrite y = x^3-64 as y = x^3 - 64.  This can again be rewritten, this time as:

y = (x - 4)(x^2 + 16).

Setting this = to 0, we get x - 4 = 0, whose corresponding root is x = 4, and

x^2 + 16), which has two unequal, imaginary roots:  x = -4i and x = 4i.

Answer:

where is the package

Step-by-step explanation:

where is the package

Answer: There are 3 bars of soup and 2 toothbrushes in each package.

Step-by-step explanation: 36 divided by 12 = 3

24 divided by 12 = 2

The length that needs to cover all 3 sides of both book ends will be √208 inches.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

Sylvie realizes the container will be 8 inches long and the level will be 12 inches.

Then the length is given as,

H² = 12² + 8²

H² = 144 + 64

H² = 208

H = √208 inches

Then the length that needs to cover all 3 sides of both book ends will be √208 inches.

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Answer:

y=8x

Step-by-step explanation:

There is no why intercept because there is no additional boarding fee, so the only part of the equation you get is y=mx.  In this equation, that is y=8x, where "x" is the number of hours in the cab, 8 represents the cost per hour, and "y" is the total cost of the entire cab ride.

2x = 2 x 25?

50 + ? = 150

50 + 100 = 150

x = 50?

2x + 50 = 150

2 x 50 + 50 = 150

100 + 50 = 150

The measure of x is 50.

Vertical angles are generated by the junction of two straight lines that are not contiguous. Vertical angles are positioned across from each other in the corners of the "X" created by two straight lines. Because they are opposite each other, they are also known as vertically opposite angles.

Using Vertical Angle property as

(50+ 2x) = 150

So, subtract 50 from side we get

50 + 2x - 50= 150 - 50

2x = 100

Now, divide both side by 2 we get

2x/2 = 100 / 2

x = 50

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Answer:

Additive inverse is the opposite of a number which when you add to the original number gives a result of zero. In other words change the sign and you are done.

Multiplicative inverse is the reciprocal of the number which when you multiply with the original number the result is 1. In other words flip the number or fraction (exchange the numerator with the denominator)

Step-by-step explanation:

See the picture.

Answer: x=-4

Step-by-step explanation:

1. Simplify:

-(x-1)=5 => -x+1=5

Isolate x:

-x=5-1 => -x=4 => x=-4

The lengths JL and PM are the lengths that make up the triangle JMP

The side length JL is twice the side length PN.

So, we have:

JL = 2 * PN

This gives

JL = 2 * 39

JL = 78

Hence, the length of JL is 78 units

The side length PM is half the side length KL.

So, we have:

PM = 0.5 * KL

This gives

PM = 0.5 * 95

PM = 47.5

Hence, the length of PM is 47.5 units

The angle MLK is congruent to the angle JMP.

So, we have:

MLK = JMP

This gives

MLK = 105 degrees

Hence, the measure of angle MLK is 105 degrees

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Answer:

89+57 = 146

146+(5x-6) = 180

146-146+(5x-6) = 180-146

5x-6 = 34

5x-6+6 = 34+6

5x = 40

5x/5 = 40/5

x = 8

Answer:

Car A was 20 miles east of car B.

Step-by-step explanation:

just did it:)

Answer:

45 feet

Step-by-step explanation:

64-19=45

Answer:

83

Step-by-step explanation:

if it rose you need to add 64+19 correct me if im wrong

T test is used to compute the confidence interval, when the mean and standard deviation is given.

What is Standard Deviation?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be very close to the set mean. The lower case Greek letter (sigma), again for population standard deviation, or even the Latin letter s, again for sample standard deviation, are most frequently used in mathematical texts and equations to represent standard deviation. Standard deviation may be abbreviated as SD. A random variable, specimen, statistical population, data set, as well as probability distribution's standard deviation is equal to the square root of its variance. When the number in a sample, sample mean and sample standard deviation is given, the test statistic that should be used when computing a confidence interval is t test

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Answer:

Step-by-step explanation:

2590

Answer:

-8m + (-7.7n - 6)

Step-by-step explanation:

You distribute the negative in front of the parentheses, to everything inside of the parentheses, and change the sign to addition.

a) The proportion of heads that  is represented in this sample is \(\bar{p}\)=0.583.

It is a parameter that describes a percentage number connected with a population. For example, the 2010 United States Census revealed that 83.7% of the American population was identified as not being Hispanic or Latino; the figure of.837 is a population proportion. In general, the population proportion and other population metrics are unknown. A census can be undertaken to establish the true value of a demographic metric, although it is generally impractical due to the expenses and time required.

A population proportion is typically computed using an unbiased sample statistic derived from an observational study or experiment.

Given that,

A coin is flipped 120 times, the number of heads we get are 70

a) The sample proportion is,

\(\bar{p}\)=No. of heads/No. of times the coin is flipped

\(\bar{p}\)=70/120

\(\bar{p}\)=0.583

The proportion of heads that  is represented in this sample is \(\bar{p}\)=0.583

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Answer:

50°

Step-by-step explanation:

Sum of the interior angles of a triangle = 180°

m<A+m<B+m<C = 180°

40°+90°+m<C = 180°

m<C= 180°-130°

m<C= 50°

The fraction that has been given illustrates that the person who ran further is Jane.

Your information isn't complete. Therefore, an overview of the fraction will given.

Let's assume that Lisa ran 1/2 of a mile and Jane ran 3/4 of a mile. In order to know who ran more, you can convert the fraction to percentage.

This will be:

Lisa = 1/2 × 100 = 50%

Jane = 3/4 × 100 = 75%

Therefore, Jane ran more.

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Given:

In a given figure,

The length of the sides of the triangle is 4, 13, and 15.

The dimensions of one rectangle are 4 by 6.

The dimensions of one rectangle are 13 by 6.

The dimensions of one rectangle are 15 by 6.

To find:

The total surface area and volume.

Explanation:

The total surface area of the figure is,

Using the heron's formula,

The area of the triangle will be,

Therefore, the total surface area of the figure becomes,

Thus, the total surface area of the figure is 240 square units.

The volume formula is,

Thus, the volume of the figure is 144 cubic units.

Final answer:

• The total surface area of the figure is 240 square units.

• The volume of the figure is 144 cubic units.

The angles with sides HA and HE are ∠AHE and ∠EHA.

There are some angles given from which we need to find those with sides HE and HA.

The angles given are :

A. ∠AHE B. ∠AGE C. ∠EHA D. ∠EGA E. ∠AHB

For this first we need to understand the naming of angles.

An angle is either named by a single alphabet, mostly when the angle is not divided, or it is named using three letters from which we can clearly understand the sides of the angles.

For example, ∠XYZ has sides XY and YZ with the angle at the point Y.

So we will try to find the sides of each angles given in options.

A. ∠AHE has sides HA and HE with angle at the point H.

B.  ∠AGE has sides AG and GE with angle at the point G.

C. ∠EHA has sides HE and HA with angle at the point H.

D. ∠EGA has sides EG and GA with angle at the point G.

E. ∠AHB has sides HA and HB with angle at the point H.

Hence the angles for which HA and HE are sides are ∠AHE and ∠EHA.

The question is incomplete. Find the complete question below:

Select all the angles for which HA and HE are the sides.

A. ∠AHE B. ∠AGE C. ∠EHA D. ∠EGA E. ∠AHB

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The value of the expression is 74.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this expression, we need to follow the order of operations, which is a set of rules that dictate the order in which mathematical operations should be performed. The order of operations is: Parentheses

Exponents and Multiplication and Division (performed left to right)

Addition and Subtraction (performed left to right)

Using this order, we can evaluate the expression as follows:

10 × 5 + 16+ (5 + 30 ÷ 10)

= 50 + 16 + (5 + 3)

= 50 + 16 + 8

= 74

Therefore, the value of the expression is 74.

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Answer:

Let x = the cost of a movie

Let y = the cost of a game

Using these variables, we can set up equations.

3x + 5y = 42 eq1

9x + 7y = 72 eq2

We have here a system of equations, where we have two or more equations with two or more different variables. We use the elimination method to solve for the variables.

Multiply eq1 by 3. Keep eq2.

9x + 15y = 126 eq1

9x + 7y = 72 eq2

Subtract eq2 from eq1 to eliminate the x terms.

8y = 54

y = 6.75

This rental cost of one video game is $6.7

Substitute the value of y into eq1 to solve for x. This will give you the rental cost of one movie.

Step-by-step explanation:

pa brainly po

The cost of movie is $4.5 and cost of video game is $5.75.

Two or more expressions with an Equal sign is called as Equation.

Let x be the cost of movie and y be the cost of video game

Calvin rents 3 movies and 2 video games and spends a total of $25.

3x+2y=25...(1)

Samantha rents 2 movies and 1 video game and spends a total of $14.75.

2x+y=14.75

y=14.75-2x..(2)

Substitute (2) in equation (1)

3x+2(14.75-2x)=25

3x+29.5 -4x=25

-x+29.5 = 25

Subtract 29.5 from both sides

-x=25-29.5

x=4.5

Now let us plug in x value in equation (2)

y=14.75-2(4.5)

y=5.75

Hence, the cost of movie is $4.5 and cost of video game is $5.75.

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