One of the wagers in the game of roulette is to place a bet that the ball will land on a black number. (Eighteen of the numbers are black, 18 are red, and two are green.) If the ball lands on a black number, the player wins the amount of his bet. If a player bets $1, find the player's expectation. (Round your answer to two decimal places.)

Answer:

y = 3/4x + 2

Step-by-step explanation:

I hope this helps

We need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 Percent confidence is 170.

To find the sample size to estimate the mean with an error of +4 and 95 percent confidence, we need to use the formula:

n = [(z*sigma)/E]^2

Where:
n = sample size
z = z-score for 95% confidence level (which is 1.96)
sigma = standard deviation (unknown in this case)
E = maximum allowable error (which is +4 in this case)

We are given that o=12, which is the population standard deviation. Since we do not have any information about the sample standard deviation, we can use the population standard deviation as an estimate. Therefore, we can substitute o=12 in the above formula to get:

n = [(1.96*12)/4]^2
n = 169.64

Since we need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 percent confidence is 170.

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Part A :

Yes, the statement is true that  P( A and B ) = 0 .

Given,

Event A and Event B are mutually exclusive.

Thus P ( A and B ) = 0

Part B:

A and B are mutually exclusive events if they do not occur at the same time.

This means that A and B do not share any common outcomes and

P(A and B) = 0.

Part C:

Let,

The sample space W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Let A = {1, 2, 3, 4, 5}, Y = {4, 5, 6, 7, 8}, and B = {7, 9}.

A and B do not have any numbers in common so P(A and B) = 0.

Hence, A and B are mutually exclusive.

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Ha:mu<10  is the appropriate alternative hypothesis that the consumer group wishes to test .

How would you define hypothesis?

An assumption or notion is called a hypothesis when it is put forth with the purpose of debating whether it might be true.

                               In the scientific process, the hypothesis is developed prior to the completion of any relevant study, other than a brief background review.

Ha:mu<10

Because A consumer group is suspicious of this claim, believing that the weight lose is, on average, much less.

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Check the picture below.

let's recall that, the arc made from 0 to π is just half a circle or namely a semi-circle, so any fraction of π refers to that arc

\(\cfrac{11\pi }{18}\qquad \textit{really means}\qquad \cfrac{11}{18}\qquad \textit{of that semi-circle}\)

Answer:

10

Step-by-step explanation:

2x + 5 = 8x

Subtract 2x from each side

2x-2x + 5 = 8x-2x

5 = 6x

We want 12x so multiply each side by 2

2*5 = 6x*2

10 = 12x

Answer:

B. 10

Step-by-step explanation:

To find 12x, you first need to find the value of x using the first equation:

\(2x+5=8x\)

You need to get the variables (x) on the same side of the equation in order to simplify them. To do this, use reverse operations. Subtract 2x from both sides to keep the equation balanced:

\(2x-2x+5=8x-2x\\\\5=6x\)

Now isolate the variable (x) by dividing both sides of the equation by 6 (using reverse operations):

\(\frac{5}{6}=\frac{6x}{6} \\\\\frac{5}{6}=x\)

Now insert the given value of x into 12x:

\(12(\frac{5}{6})\)

Simplify:

\(12*\frac{5}{6} \\\\\frac{12}{1}*\frac{5}{6}\\\\\frac{60}{6}=10\)

12x equals 10.

:Done

Answer:32

Step-by-step explanation:

option c. 1 3/5

2/5 ÷ 2/8

= 2/5 × 8/2

= 8/5

= 1 3/5

Hence, option c. 1 3/5

The reasonable estimate would be 25

We have to solve this using the rule of 3

9 out of 30 members said that they run more than 5 days a week.

We will form the equations

when 9 ran = 30 menbers

when n ran = 84 members

we will then cross multiply

84 x 9 = 30 x n

n = 25.2

When we round this, the reasonable estimate would be 25

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Complete question

Freemont Run Club surveyed a random sample of 30 of their members about their running habits. Of the members surveyed, 9 said that they run more than 5 days a week.

There are 84 Freemont Run Club members.

Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week?

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

What is congruent?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Here,

we have to prove when can we say that the two triangles are congruent.

SSS, SAS, ASA, AAS, and HL.

These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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Answer:

3,36 in^2

Step-by-step explanation:

The geometric shape shown in image is called a trapezoid

to calculate the area of a trapezoid we use the following formula:

1/2*(a+b)*h (a and b are bases, h: height)

bases are 1.3 and 3.5 and height is 1.4

1/2(1.3 + 3.5)*(1.4) = 3,36 the area is stated in square units so the answer is

3,36 in^2

\(f(g(13)) = f( \alpha ) \\ where \: \alpha = g(13)\)

As shown in the output of g when we want to input 13 is shown in the second figure.

\( \alpha = g(13 )= 16\)

Now we want to solve for f(g(13)),now that we know what g(13) is

\(f(g(13)) = f( \alpha ) = f(16) = 32\)

Answer:

C=32

Step-by-step explanation:

This mapping is both one to one mapping and onto mapping

f(g(13))=f(ã)

since we know that g(13),we proceed to the codomain of g which is g(16)

That will be

f(16)=32

Answer:

im pretty sure the answer is (-5,-7)?

Answer:

C.

Step-by-step explanation:

According to theorem, congruent angles has congruent sides opposite to them so,

RS = TU

Now

12x+4 = 11x+15

12x-11x = 15-4

So

x = 11

Now

TU = 11x+15

= 11(11)+15

= 121+15

= 136 units

Answer:

stan stray kids periodt

4(2x raise to power 2-4-7x)

Answer:

ΔABC and ΔZYX

Step-by-step explanation:

These two triangles are similar because they can be rotated, reflected and scaled to match each other.

When given two points and asked to find the equation of the line in slope-intercept form, the correct steps, the correct order is 2 , 1 , 4 , 3.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

Given that,

given two points and asked to find the equation of the line in slope-intercept form.

Find that,

what are the correct steps? Place a number next to the step to put them in order.

Explanation:

to find the equation of the line in slope intercept form form given two points.

step 1 :

find the slope.

step 2

write equation in point slope form

step 3.

pick a point form the given points , substitue it into the point slope form

step 4.

write the equation in slope intercept form by simplifying

Final Answer.

Hence , the correct order is 2 , 1 , 4 , 3.

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The set that would contain the subset E = {1, 3, 5, 7} is set D. This is because set D contains all odd integers, and E is a subset of the odd integers.

In mathematics, a set is a collection of distinct objects, called elements, that are considered a single entity. Sets can be composed of any kind of object, such as numbers, letters, symbols, or other sets. Sets are denoted by enclosing their elements in curly braces {}, separated by commas, and listing the elements in any order.

In mathematics, a subset is a set that contains only elements that also belong to another set, called the superset. In other words, all the elements of a subset are also elements of the superset.

According to the given information

Assuming 0 is an even integer, the complement of set B is:

B' = {x | x ∈ U and x is not an even integer}

In other words, the complement of B contains all integers that are not even, which includes odd integers and zero.

The empty set is a set with no elements. In this case, none of the sets A, B, C, or D is empty, since they all contain elements.

The set that would contain the subset E = {1, 3, 5, 7} is set D. This is because set D contains all odd integers, and E is a subset of the odd integers.

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Answer:

Answers are D, C, D

Step-by-step explanation:

Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.

Firstly, we'll graph the equations and find the points of intersection:

y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u

(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u

)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.

The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$

We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$

Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

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Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.

given

You can use a fraction to express the percentage 20%.

This is inferred from the fact that the sign for percentage,% means to divide by 100.

Therefore, it is important to understand that 20% equals 20/100, or 1/5.

As a result, the 20% tip represents one-fifth of the total.

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

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The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

the last one

Step-by-step explanation:

there is no rhythm

The function pairs that are inverse functions are (c) f(x) = 5x - 3 and g(x) = (x + 3)/5

Function (a)

This function is given as

f(x) = 4x²

The function needs to be represented as an equation

So, we have

y = 4x²

Swap the positions of x and y

x = 4y²

So, we have

y² = x/4

Take the square root of both sides

y = 1/2√x

So, the inverse function is

g(x) = 1/2√x (not the same as the option)

Function (b)

This function is given as

f(x) = x² - 16

The function needs to be represented as an equation

So, we have

y = x² - 16

Swap the positions of x and y

x = y² - 16

So, we have

y² = x + 16

Take the square root of both sides

y = √x + 16

So, the inverse function is

g(x) = √ x+ 16 (not the same as the option)

Function (c)

This function is given as

f(x) = 5x - 3

The function needs to be represented as an equation

So, we have

y = 5x - 3

Swap the positions of r and y

x = 5y - 3

So, we have

5y = x + 3

This gives

y = (x + 3)/5

So, the inverse function is

g(x) = (x + 3)/5

Hence, the function pairs are (d) f(x) = 5x - 3 and g(x) = (x + 3)/5

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Answer:

2x+2x2=32

2x+4=32

Step-by-step explanation:

Answer:

60 photos

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

because there is 60 minutes in an hour so she ca take 60 pics in 1 hour.

A speed of 10 m/s means that it takes 1 second for the ball to travel 10 meters. To find how long will it take to travel 40 meters, we can use the next proportion:

Solving for x:

It will take 4 seconds to travel 40 meters