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If a student picks randomly then the expected value of his or her score for a problem is 1.5.

Each question on a multiple-choice exam has four choices.

One of the choices is correct, worth four points.

Another choice is wrong but carries partial credit for one point.

The other two choices are wrong and worth a negative one point.

Each has a probability of getting selected is 0.25.

[tex]0.25*5+0.25*1+0.25*0+0.25*0[/tex]

[tex]1.25+0.25[/tex]

[tex]1.5[/tex]

What is the expected value?

The expected value denotes potential. The occurrence of a random event is the subject. Its fundamental notion is that something is probable to occur.

Actually, the anticipated value may be viewed as the mean of a random variable. This indicates that the anticipated value is the average of all the values acquired if a probability experiment were repeated again while keeping track of the outcomes. The anticipated value of a game of chance is what you should expect to occur over the long run of several trials.

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Answer:

[tex]{ \tt{volume = \frac{4}{3} \pi {r}^{3} }} \\ \\ { \tt{v = \frac{4}{3} \pi {r}^{3} }} \\ \\ { \tt{area = \frac{dv}{dr} = 4\pi {r}^{2} }} \\ \\ { \tt{area = \frac{d(3x + 1)}{dx} }} \\ \\ { \tt{area = 3 \: {cm}^{2} }}[/tex]

Answer:The answer is 8

Step-by-step explanation:

21-13

The length and width of the rectangle with a perimeter of 378ft are 168ft and 21ft respectively.

The formula used in calculating the perimeter of a rectangle is expressed as;

P = 2( l + w )

Where l is length and w is width.

Given the data in the question;

Let 'x' represent the width of the rectangle.

Plug the given values into perimeter formula and solve for x .

P = 2( l + w )

378 = 2( 8x + x )

378 = 2( 9x )

378 = 18x

18x = 378

x = 378/18

x = 21

Now, we find the length and width of the rectangle.

Width of the rectangle w = x = 21ft

Length of the rectangle l = 8x = 8( 21 ) = 168ft

Therefore, the width of the rectangle is 21ft while its length is 168ft.

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Answer:

y = 90

Step-by-step explanation:

Given,

x and y vary directly

Also, when y = 120, x = 15

So,

x = 1, y = 120/15 = 8

Therefore, when x = 6, y = 90

Step-by-step explanation:

you can ask questions for clarification

Answer:

hmmm

Step-by-step explanation:

what does the j, k, m, and l stand for?

In the picture, There is graph with a triangle SNZ. The reflected triangle of y=3 as (1,2),(5,3) and (5,5).

Given that,

In the picture, There is graph with a triangle.

The triangle is SNZ.

We have to find the reflection across y=3.

We have to draw a line on y=3.

On the line y=3,

Z point is there so it will be same that is (5,3).

Now, the point S is on (5,1)

Here, y is 1 that is 3+2=5

So, we take the reflected S point as (5,5)

Now, the point N is on (1,4)

Here, y is 4 that is 3-1=2

So, we take the reflected N point as (1,2).

Therefore, we get the reflected triangle of y=3 as (1,2),(5,3) and (5,5).

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The expression given relating to the take all have an equivalent ratio of 1:5.

It should be noted that ratio is simply used to show the comparison between two or or more things.

In this case, in the table, the ratio given will be illustrated as:

2/10 = 1/5 = 1:5

6/30 = 1/5 = 1:5

10/50 = 1/5 = 1:5

12/60 = 1/5 = 1:5

In this case, it should be noted that for every number that was illustrated, we have an equivalent value of 1:5. Therefore, this explains that it's an equivalent ratio.

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Answer:

second option

Answer: y = -x + 3

Step-by-step explanation:

y = mx + b

We need to find the slope of the equation first.

Change in y: 7 - 0 = 7

Change in x: -4 - 3 = -7

Slope = Change in y / Change in x

slope = 7 / -7 = -1

Now, plug the slope into the equation to find b.

0 = -1(3) + b

b = 3

or 7 = -1(-4) + b

b = 3

Answer:

  2x +y = 1

Step-by-step explanation:

You want the equation of a line parallel to 2x+y=4 through point (-1, 3).

A parallel line will have the same slope, which is a function of the ratio of the x- and y-coefficients. Hence, the equation of the parallel line can use the same coefficients. It will have a constant suitable for the given point.

  given: 2x +y = 4

  parallel: 2x +y = c

  through point (-1, 3): 2x +y = 2(-1) +(3) = 1

The equation of the parallel line is 2x+y = 1.

Answer:

a=11

Step-by-step explanation:

If both triangles have two sides E and G the same then thethird side F and H must be equal

EF=EH

6a=55+a

5a=55

a=11

The thing that is wrong with the bookkeeper’s entry assuming Karlin uses the allowance method is that the company uses allowance method and thus the write-off entry would not be to bad debt account.

How yo illustrate the information?

It should be noted that because the business is using the allowance approach in this instance, the write-off entry would not be to the account for bad debts. To write off an account, a debit must be made to a separate account that is kept as an allowance for dubious accounts.

Since the receivables would not be collected, the accounts receivable account would be credited. In this case,the write off isn't appropriately illustrated in the account.

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The new bookkeeper at Karlin Construction Company was asked to write off two accounts totaling $1,610 that had been determined to be uncollectible. Accordingly, he debited Accounts Receivable for $1,610 and credited Bad Debt Expense for the same amount.

Determine what was wrong with the bookkeeper’s entry assuming Karlin uses the allowance method.

Answer:

Negative 2, negative 3 + i StartRoot 3 EndRoot, negative 3 minus i StartRoot 3 EndRoot.

Step-by-step explanation:

So basically that whole last section you had your answer should look like this:

6.

We know area of circle is

Radius increases at a rate of 4.

So, we can write:

We want rate of change of area. Thus,

We want dA/dt at r = 7, so substituting all that we know:

The correct answer: 56*pi m^2/min

3/2d

DIFFERENTIATE W.R.T. D

3

2

​

≈0.666666667

Answer: The Associative Property

Step-by-step explanation:

Example:

[tex]a * (b * c) = (a * b) *c[/tex]

[tex]2 *(4 * 5) = (2 * 4) * 5[/tex]

Considering the definition of greatest common divisor, the greatest number of backpacks volunteers can prepare using all of the maps and dictionaries is 8.

Considering that a divisor can be formally defined as that number that is contained in another exactly n times, the greatest common divisor is the largest number by which two or more numbers can be divided. That is, the greatest common factor is the highest number by which a set of numbers can be divided, resulting in a whole number.

To calculate the greatest common factor, the following steps must be followed:

In this case, you must calculate the greatest common factor as follows:

2 is the factor common to both numbers, with 3 being the smallest exponent found. Then the greatest common divisor is calculated as:

Greatest common divisor= 2³

Greatest common divisor= 8

This means that they can prepare 8 backpacks.

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The worth of the share after a 15% fall will be $47.21.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the value of a share of stock on the stock market decreased by 15%. If it used to be worth $55.55.

The value of the share after 15% fall will be calculated as:-

Decreased amount = 55.55 - ( 55.55 x ( 15 / 100)

Decreased amount = $47.21

Therefore, the worth of the share after a 15% fall will be $47.21.

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Answer:

there are 7 severeings of rice

Answer:

The graph depicting inequality y > -2x - 3 is C

The answer is x = 2

I have attached a picture with the work

Step-by-step explanation:

[tex] \sqrt{8} x - \sqrt{2} x = 4[/tex]

[tex]x( \sqrt{8} - \sqrt{2} ) = 4[/tex]

[tex]x = \frac{4}{ \sqrt{8} - \sqrt{2} } [/tex]

the second term could be positive or negative

therefore

x=2.83 or

=-2.83

which is the square root of 8 - and positive

Answer:

59.40

Step-by-step explanation:

The graph of a function f is the set of all points in the plane of the form (x, f(x)).

Step 1

iven

g(x) is a transformation of the function f(x)we have a root in the function, note that the variable x is inside the root, so we can conclude the basic function is

square tooroot

Step 2

rove

ow, lets's check the transformation of f(x)

a)1 was subtracted form the argument of the fucnction

when you subtract a number b form the argument of the function you are shifting the function b units to the rigth

so

he function was shifteed 1 unit to rigth

) the resulting function was multiplied by 2-

when you multplie by a negavitve constant you are reflecting the funciton acrros x-axis, and is is stretched vertically.

so

he funcition was reflected across x-axis an strtched vertically by a factor of 2

c) 4 was added to the function

when you add a constant b to any function, the graph will be shifted b units up,so

he functinon was shifted 4 units up

hrerefore, we can conclude the answer is

I hope this helps you

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

In this case, it would be a function

[tex]\frac{35-32}{32} \times 100=\frac{75}{8}=9.375\%[/tex]

Answer:

9.375%

Step-by-step explanation:

Percentage Error formula

[tex]\textsf{Percentage error}=\sf \left|\dfrac{estimated\:value\:-actual\:value}{actual\:value} \right| \times 100\%[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Percentage error}&= \left|\dfrac{35-32}{32} \right| \times 100\%\\\\&=\left|\dfrac{3}{32} \right| \times 100\%\\\\&=0.09375 \times 100\%\\\\&=9.375\%\end{aligned}[/tex]

Therefore, the percentage error was 9.375%.

Present age of father is 48 years and that of son is 23 years.

Let the age of father be x years

And the son's age be y years

According to the question,

x - y = 25 -----------1

15 Years ago, x= 6( y - 15 )

x= 6y - 90 -------------2

Substituting value of x from equation 2 in equation 1, we get

6y - 90 - y = 25

5y -90 = 25

5y = 25+90

5y= 115

y= 23

Therefore son's age is 23 years and from equation 1 we get x= 25+y = 25+23 = 48 years. So father's age is 48 years.

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