explain what is wrong with the following statement.

"Last year we had 80 students attend a concert. This year we have a 50% increase or a total of 160 students attend."

Multiply each payout by the corresponding probability and take the total:

E[X] = 0×0.5 + 5×0.2 + 8×0.15 + 10×0.1 + 15×0.05 = 3.95

The expected value = 3.92

"It describes the average of a discrete set of variables based on their associated probabilities."

\(E(x)=\Sigma[ xP(x)]\)

Multiply each value of the random variable by its probability and add the products.

For given question,

We have been given a payout probability distribution.

We need to find the expected value of the winnings.

First we multiply each value of the random variable by its probability .

0 × 0.5 = 0

5 × 0.2 = 1

8 × 0.15 = 1.2

10 × 0.1 = 1

15 × 0.05 = 0.75

Now, we find the sum of above products.

0 + 1 + 1.2 + 1 + 0.75 = 3.95

By using the formula of expected value,

\(\Rightarrow E(x)=\Sigma[ xP(x)]\\\\\Rightarrow E(x)=3.92\)

Therefore, the expected value = 3.92

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Answer:

They are both the same because the coefficient of -0.52 is negative and 0.52 is a positive which makes 0.52 a stronger coefficient.

Answer:

what?

Step-by-step explanation:

Answer:

x=4, y=-1

Step-by-step explanation:

x=3y +7. equation 1

3x+4y=8. equation 2

substitute equation 1 into equation 2

3 (3y +7)+4y =8

9y+21+4y=8

13y+ 21=8

13y=8-21

y=-13/13

y=-1

substitute the value of y into equation 1

x=3(-1)+7

x=-3+7

x=4

Answer:

4.41seconds later

Step-by-step explanation:

Let the equation of the height reached by the water front be h = -2t^2+7t+4

The water hits the ground at h =0

Substitute

0 =  -2t^2+7t+4

-2t^2+7t+4 = 0

2t^2 - 7t - 8 = 0

t = 7±√(-7)²-4(2)(-8)/2(2)

t = 7±√49+64/4

t = 7±√113/4

t = 7±10.63/4

t = 7+10.63/4

t = 17.3/4

t = 4.41s

Hence the water hit the ground 4.41seconda later

Answer:8.75

Step-by-step explanation:

Answer: it’s B

Step-by-step explanation:

The maximum and minimum values of f(x, y) = x² + 9y on ellipse 4x² + 9y² = 9 is  (\(\frac{3\sqrt{-3} }{2}, 2\)).

A function is a relationship between two values, x from the first set and y from the second set. The greatest value of a function is regarded as the function's maximum value, while the lowest value is regarded as the function's minimum value.

The following procedures should be taken in order to determine a function's maximum and lowest values: Find the roots of the differentiated function, the first derivative of the function, and the critical point. Apply the crucial result from the function's second derivative to the provided function's second derivative to find its second derivative. If the critical point replaced in the second derivative is positive or negative, find the maximum/minimum value by replacing the points at which the original function reaches either of its critical values.

First, we solve the constraint function for x² so we can simplify f(x,y) into f(y).

4x² + 9y² = 9

x² = 9-9y²/4

We then substitute the equation for x² into the function and simplify.

f(y) =  x² + 9y

f(y) = 9-9y²/4 + 9y

f(x) = 9-9y²/4 + 9y

f'(x) = -9y/2 + 9

0 = -9y/2 + 9

-9 = -9y/2

y = 2

f(x) = 9-9y²/4 + 9y

f'(x) = -9y/2 + 9

f"(x) = -9/2

4x² + 9y² = 9

4(x)² + 9(2)² = 9

4x² = 9 - 36

4x² = -27

x² = -27/4

x = \(\frac{3\sqrt{-3} }{2}\)

The maximum and minimum function occurs at the point is (\(\frac{3\sqrt{-3} }{2}, 2\)).

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Total number of ways in which dinner can be assembled will be 120.

What is restaurant?

A restaurant is a place of business where customers can order and receive food and drinks. Meals are typically prepared and consumed on the premises, but many eateries also provide take-out and delivery options.

A commercial space where customers can buy food or drinks.

There are 4 different types of appetizers, so there are 4 ways to choose one of them, which comes out to 4C1 = 4.

Similarly, there are 3 ways to choose desserts and 5 ways to choose an entrees.

2 methods for selecting wines are also included.

As a result, there are

5 x 4 x 3 x 2 = 120 different ways to assemble dinner in total.

Hence, total number of ways in which dinner can be assembled will be 120.

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Answer:

6558.75

Step-by-step explanation:

total value of 100 logs = total value of an average log x 100 total value of an average log = length of an average log x price per board foot

8.25 x 7.95 = 65.5875

65.5875 x 100 = 6558.75

The equation of the original line is y=4x-4.

It is required to find the solution.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The  equation is

y=4x-1.

According to given question we have,

Every point on a particular line is shifted 3 units down.

y=4x-1-3

y=4x-4

Therefore, the equation of the original line is y=4x-4.

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It takes 50 seconds to travel the full length at the constant rate R.

Remember the relation between speed, distance and time:

distance = speed*time

Here we know that at a rate R (or speed S, these are equivalent) it moves (1/20) of the total distance D in (2 + 1/2) seconds, then we can write:

R*(2 + 1/2) = (1/20)*D

Now we only need to isolate D on the right side, to do so we need to multiply both sides by 20.

20*R*(2 + 1/2) = D

The time is:

20*(2 + 1/2) seconds

40 + 10 seconds

50 seconds

It takes 50 seconds to travel the full length,

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Considering the area of the hole, it is found that there is a 4.9% probability of hitting a ball into the circular hole.

The area of a circle of radius r is given by:

\(A = \pi r^2\)

In this problem, the hole has a diameter of 1 ft, hence it is radius is of r = 1 ft/2 = 0.5 ft, and it's area is given by:

\(A = \pi \times (0.5)^2 = 0.7854 \text{ft}^2\)

Hence the probability is given by:

p = 0.7854/16 = 0.049 = 4.9%

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Answer: 62

Step-by-step explanation: In the red empty spot, the #5 would go there and in the blue spot the #6 would go there. 8x2=16 and 16+16= 32: t=This is for the to rectangle shapes on both sides. Now for the square in the middle, since the red spot is 5 and the blue is 6, 5x6= 30. So, 30+32=62.

The solutions of the equation p2 = 9/36, we need to first take the square root of both sides of the equation. This gives us:
p = ±√(9/36)

The expression under the square root by dividing both the numerator and the denominator by 9. This gives us:
p = ±√(1/4)
The solutions to the equation p2 = 9/36 are p = 1/2 or p = -1/2. We can check these solutions by substituting them back into the original equation:
(1/2)2 = 9/36
1/4 = 1/4
and
(-1/2)2 = 9/36
1/4 = 1/4
p = 1/2 or p = -1/2
The equation p² = 9/36, follow these steps:

1. Simplify the fraction on the right side of the equation: 9/36 = 1/4
2. The equation becomes: p² = 1/4
3. To find the value(s) of p, take the square root of both sides: p = ±√(1/4)
4. Simplify the square root: p = ±(√1/√4) = ±(1/2)
The solutions for the equation p² = 9/36 are p = 1/2 and p = -1/2.

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a resposta será c. Espero que isso ajude você.

Answer:

2560

Step-by-step explanation:

10%/100% = 256/x

100/10=10

256x10 = 2560

Answer:

\(\huge\boxed{\sf x = 85}\)

Step-by-step explanation:

0.2x - 6 = 11

0.2x = 11 + 6

0.2x = 17

x = 17/0.2

\(\rule[225]{225}{2}\)

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \purple {━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

hope it helps!

The equation of the ellipse in standard form with center at the origin, with vertices at (-3,0) and (3,0), and co-vertices at (0,2) and (0,-2) is \((x^2/9) + (y^2/4) = 1\).

Ellipses are important mathematical objects that can be used to describe various phenomena in science and engineering. An ellipse is a curve that is symmetric around two axes, and it can be defined in terms of its center, vertices, and co-vertices.

The equation of an ellipse in standard form with center at the origin is given by:

\((x^2/a^2) + (y^2/b^2) = 1\)

where a and b are the lengths of the semi-major and semi-minor axes, respectively. The semi-major axis is the distance from the center to the farthest vertex, and the semi-minor axis is the distance from the center to the co-vertex.

To write the equation of an ellipse in standard form with center at the origin and given vertices and co-vertices, we first need to find the values of a and b. We can use the distance formula to find the lengths of the semi-major and semi-minor axes:

a = distance from (0,0) to (-3,0) = 3

b = distance from (0,0) to (0,2) = 2

Now we Substitute the values of a and b into the equation of the ellipse in standard form:

\((x^2/3^2) + (y^2/2^2) = 1\)

Simplifying, we get:

\((x^2/9) + (y^2/4) = 1\)

This is the equation of the ellipse in standard form with center at the origin, with vertices at (-3,0) and (3,0), and co-vertices at (0,2) and (0,-2).

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It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.

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The equivalent expression by combining like terms as calculated from the given data is 7.3x + 5 which is option D.

On solving the equation  5.2x+8+2 and 1x-3 the answer which we will get will be our required equivalent expression.

= 5.2x+8+2.1x-3

= 5.2x + 2.1x + 8 - 3

= 7.3x + 5

Therefore, the equivalent expression is 7.3x + 5.

Equivalent expressions are expressions that have the same value but do not have the same appearance. While determining if we can compare expressions , at minimum two expressions are required. There are various times in math where equivalent expressions are used and required.

Using the distributive property, an expression expressed with parenthesis can be readily written without them.

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Answer:

What is the circumference of a circle whose area is 16 π ?

A. 64  π  

B. 32 π  

C. 8  π  

D. 4  π

Step-by-step explanation:

its  8 π  cause it said it was correct

Answer:

\(s = \frac{3}{10}m\)

Step-by-step explanation:

Given

Mass = 30g

Spring Stretch = 9cm

Variation: Direct Variation

Required

Equation that relates the mass of the object, m, and the length of the spring, s

Let m represents mass and s represents length of the spring

Given that s varies directly to m;

This implies that

\(s\ \alpha\ m\)

Convert the above to an equation

\(s = km\); where k is the constant of variation;

The next step is to solve for k

Divide both sides by m

\(\frac{s}{m} = \frac{km}{m}\)

\(\frac{s}{m} = k\)

\(k = \frac{s}{m}\)

From the given parameters;

when m = 30; s = 9.

\(k = \frac{9}{30}\)

Divide the numerator and denominator by 3

\(k = \frac{3}{10}\)

To get the equation that relates the mass of the object to the length of the spring

Substitute \(k = \frac{3}{10}\) in \(s = km\)

This becomes

\(s = \frac{3}{10}m\)

Hence, the equation that relates the mass and length is \(s = \frac{3}{10}m\)

Answer:

s=3/10m

Step-by-step explanation:

option a) on edge

This statement is always true. The average of four real numbers is calculated by adding the four numbers together and dividing by four. Therefore, the average will always be greater than or equal to the smallest of the four numbers.

The statement "The average of four real numbers is greater than or equal to at least one of the numbers" means that when you add four numbers together and divide by four, the resulting average will always be greater than or equal to one of the original numbers.

This is because the average is a measure of central tendency that is affected by all the numbers and the number that will affect the average the most will be the largest one and since the average is the sum of all the numbers divided by 4 it will be always greater than or equal to the smallest number.

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Answer:

$170

Step-by-step explanation:

ayooooooo the answer is c.

Answer:

0

Step-by-step explanation:

Assuming there is no typo in your question, the slope is 0 because the function is a horizontal line.

Answer:A is correct

Step-by-step explanation:

The missing parts of the triangle are A=45.53°, C=99.27° & c=53.25

The Law of Sines states that the sides of a triangle a, b, & c and the sine of the angle opposite to them i.e. A,B & C are related as per the following formula:

\(a/sinA=b/sinB=c/sinC\)

The given triangle has following dimensions

B=35.2°, a =38.5, b = 31.1

Using the given information and by Law of Sines formula Angle A is obtained.

a/sin A=b/sin B

38.5/sin A=31.1/sin(35.2°)

A=45.53°

The sum of interior angles for any triangle is equal to 180°.

Therefore, A+B+C=180°

45.53+35.2+C=180°

C=99.27°

Again using law of sines to determine side c

b/sin B=c/sin C

31.1/sin 35.2°=c/sin 99.27°

c=53.25

Hence, each triangle ABC that exists for B=35.2°, a=38.5, b=31.1 will have  A=45.53°, C=99.27° & c=53.25

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Based on the information provided regarding same as cash loans, Chelsea won't be charged interest for the first 6 months of the loan, nor will she have to make payments for the first 6 months. (Option D)

A Same-As-Cash Loan refers to a short-term lending solution in which no interest or monthly payment are required to be paid during a set “Same-As-Cash” period. At the end of a predetermined period, the loan is paid off. Hence, the customer owes no interest or monthly payments during a set promotional period and pays the same amount on the loan as they would have paid up front with cash. These are interest deferred loans in which the loans interest still accrues during that promotional period, however if the customer pays off the entire principal balance before the period ends, they are not required to pay that interest. The advantage of these loans is that customers may spend the same amount they would have if they had paid with cash up front. Hence, if Chelsea opts for loan that offered 6 months, same as cash, there would be no requirement of payment or interest charged for the 6 months.

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