Cos(x)=-11/28, sin(x/2)

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: The Associative Property

Step-by-step explanation:

Example:

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

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

[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%.

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:

Given -

a = 2.5 cm

b = 3.6 cm

∠A = 43°

To Find -

Remaining angles and sides =?

Step-by-Step Explanation -

We will start by drawing the diagram:

Now, we know

By, sine rule:

Now, we know N

A + B + C = 180 c°°

43 + B + 79° = 180°°

B = 180° - 799 - 43°°

B = 58°

Now, Side b =

Final Answer -

∠B = 58B°

∠C = 797°

Side, b = 3.1 cm

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:The answer is 8

Step-by-step explanation:

21-13

Annie will receive 66.92 euros after converting the dollars into euros post her trip

The exchange rate between pounds and US dollars: 1 Euro = $1.27

Exchange rate: An exchange rate determines the price at which one currency will be exchanged for another and has an impact on international trade and money transfers.

Euro Annie spends to buy dollars = 500

Equivalent dollars received by Annie for 500 euros = 500*1.27

= $635

The money she spent in dollars = $550

Dollars remaining = 635-550 = $85

Euro she will receive after conversion = Dollars remaining/Conversion rate 85/1.27 = 66.92 Euros

So, After changing the dollars into euros after her vacation, Annie will receive 66.92 euros.

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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

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.

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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Using the binomial distribution, the mean and the standard deviation for the number of settled complaints among those received are given as follows:

The binomial distribution gives the probability of exactly x successes on n repeated trials, with p probability of a success on each trial. These parameters will be used to find the mean and the standard deviation, with formulas that are presented next.

The mean is given as follows:

[tex]E(X) = np[/tex]

The standard deviation is given as follows:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Considering that a sample of 200 complains are chosen, each with an 90% probability of being settled, the parameters are given as follows:

n = 200, p = 0.8.

Hence the mean is:

[tex]E(X) = np = 200 \times 0.8 = 160[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200 \times 0.8 \times 0.2} = 5.66[/tex]

The problem states that 200 complaints were received, and asks for the mean and the standard deviation for the number of settled complaints among those received.

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Answer:

second option

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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3/2d

DIFFERENTIATE W.R.T. D

3

2

​

≈0.666666667

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 = mx

Step-by-step explanation:

It depends on what form of the line that you want.  Usually the slope intercept form is wanted.

y = mx + b  We need to have the m (slope) and the b (the y-intercept)

The slope is the change in y over the change in x.

Ordered pairs are in the form (x,y)

(0,0) and (4,4)  Have x's of 4 and 0, and y's of 4 and 0.  We subtract these to find the changes in y and x.

[tex]\frac{4-0}{4-0}[/tex]  This is [tex]\frac{4}{4}[/tex] which is the same as 1. The slope (m) is 1.

Now we need to find the y -intercept.  The y intercept is the point where x is 0  (0,b).  They give us this point (0,0,)  So the y -intercept is zero.

y = 1m + 0

or y =mx

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

The match of the given equations and choices of the properties of equality are;

If a = b and b = c then a = c ; Transitive Property

If a = b then a ÷ c = b ÷ c; Division property of =

a = a; Reflexive property

If x + a = b and x = c then c + a = b; Substitution Property

If a = b then a + c = b + c; Addition Property of =

If a = b then a•c = b•c; Multiplication Property of =

If a•b = a•c then a•c = a•b Symmetric Property

a•(b + c) = a•b + a•c; Distributive property

If a = b then a - c = b - c; Subtraction Property of =

Properties of equality includes; addition, subtraction, transitive, reflexive, and symmetric properties of equality

The transitive property of equality can be stated as follows; If two variables are each equal to a third variable, then the two variables are equal to each other.

Therefore; a = b and b = c then a = c represents the transitive property

The division property states that both sides of an equation remain equal, following a division of both sides by the same non zero number

Therefore;

If a = b then a ÷ c = b ÷ c; represents the division property of equality

The reflexive property of equality states that a measure or number is always equal to itself

Therefore;

a = a represents the reflexive property

Substitution property indicates that if two variables are equal, then one can replace the other in an equation and the results will remain the same

Therefore;

If x + a = b and x = c then c + a = b; represents the substitution property

The statement of the addition (and subtraction) property of equality is that both sides of an equation remain equal following the addition or subtraction of the same amount from both sides the same

Therefore;

If a = b then a + c = b + c; represents the addition property of equality

If a = b then a - c = b - c; represents the subtraction property of equality

This states that both sides of an equation remain equal following the multiplication of both sides by the same value

The symmetric property states that two sides of an equation remain equal when their relative positions are interchanged

This states that two sides of an equation remain equal following a distribution with multiplication over addition or subtraction.

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Answer:

Total price including tax: $ 1,092.00

Sales tax rate: 5%

Step-by-step explanation:

Brainlest, Please!

if we take 1040 to be the 100%, what is 52 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 1040 & 100\\ 52& x \end{array} \implies \cfrac{1040}{52}~~=~~\cfrac{100}{x} \\\\\\ 20=\cfrac{100}{x}\implies 20x=100\implies x=\cfrac{100}{20}\implies x=5[/tex]

The x and y solution of the system  is x = -3 and y = -6

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

6 = −4x + y

− 5x − y = 21

Make -y the subject in the second equation, by adding 5x to both sides of the equation

5x − 5x − y = 21 + 5x

This gives

−y = 21 + 5x

Substitute −y = 21 + 5x in 6 = −4x + y

6 = −4x - 21 - 5x

Evaluate the like terms

5x + 4x = -6 - 21

This gives

9x = -27

So, we have

x = -3

Substitute x = -3 in −y = 21 + 5x

−y = 21 + 5 * -3

Evaluate

−y = 6

So, we have

y = -6

Hence, the solution for the system of linear equations 6 = −4x + y and − 5x − y = 21 is x = -3 and y = -6

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Answer:

there are 7 severeings of rice

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 : -4/9 , -4/7 , -3/5 , -5/6

The answer is x = 2

I have attached a picture with the work

Answer:

hmmm

Step-by-step explanation:

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

Answer:

First, let one angle be a variable (eg: x) so that you can form expressions and solve.

Let the first angle be x°.

Then we can form expressions for the second and third angles using the information given.

First angle = x°

Second angle = (x + 10)°

Third angle = (3x)°

Since sum of angles in a triangle is 180°, we can form an equation.

x + (x + 10) + 3x = 180

Simplify and solve for x.

5x + 10 = 180

5x = 170

x = 34

Substitute x into the expressions to find the angles.

First angle = 34°

Second angle = 34 + 10

= 44°

Third angle = 3(34)

= 102°

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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