Find the hourly rate earned by Anthony who receives $ 92.50 for an 8-hour shift.​

The approximate value of P(adult ∣ rode a ferris wheel) is 0.6364, which is approximately 63.64%.

To find the approximate value of P(adult|rode a ferris wheel), we can use the conditional probability formula:

\(\mathrm{P(adult | rode\ a\ ferris\ wheel) = \frac{P(adult \ and \ rode \ a \ ferris \ wheel)}{P(rode \ a \ ferris \ wheel)} }\)

From the data given in the table, you can see that:

Total number of people who rode the ferris wheel: 198 (children + adults)

Number of adults who rode the ferris wheel: 126.

So, P(rode a ferris wheel) = 198/264

And, P(adult and rode a ferris wheel) = 126/264

Now plug these values into the conditional probability formula:

​\(\mathrm{P(adult | rode\ a\ ferris\ wheel) = \frac{P(adult \ and \ rode \ a \ ferris \ wheel)}{P(rode \ a \ ferris \ wheel)} } \\\\= \frac{126/264}{198/264}\)

\(\mathrm{P(adult | rode\ a\ ferris\ wheel) } = \frac{126}{198} \\\\ \approx 0.6364\)

Rounded to four decimal places, the approximate value of P(adult ∣ rode a ferris wheel) is 0.6364, which is approximately 63.64%.

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Answer:

Dude... u added them, you need to divide them.

5/6÷1/12

Answer:

D. Normality of the estimator (e.g., sample mean)

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The question was incomplete. Check below the complete question.

Which of the following is the necessary condition for creating confidence intervals for the population mean? A. Known population parameter B. Normality of the population C. Known standard deviation of the estimator D. Normality of the estimator (e.g., sample mean)

The solution to the linear inequalities is graph C

A graph of a simultaneous linear inequality is a line or a collection of lines on a graph that shows the different possible solutions to a system of linear equations. The lines that make up the graph represent the boundaries of the solutions and the area inside the boundaries represents all of the possible solutions.

In the given problem, the inequalities are;

x + 2y < -2 ...eq(i)

y - x < 3 ...eq(ii)

Using a graphing calculator, the solution to this problem is option C

Kindly find the attached graph below

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Answer:

-17.5

Step-by-step explanation:

there we go I can finally anwser here ya go have a good night keep working good :)

The net pay amount for January would be $86,761.

Given the following information: Gross earnings in Vaughn Company were $114,000. All earnings are subject to 7.65% FICA taxes. Federal income tax withheld was $16,500, and state income tax withheld was $2,000.To calculate the net pay for January, first, we have to calculate the deductions:Gross earnings are:$114,000The FICA taxes for the earnings will be:7.65% of $114,000 = 0.0765 × $114,000 = $8,739State income tax withheld was $2,000Federal income tax withheld was $16,500Deductions are: 8,739 + 2,000 + 16,500 = $27,239The net pay amount for January would be:$114,000 - $27,239 = $86,761Answer: $86,761.

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Joel needs 1.5 gallons of blue paint.

Joel needs a total of 10 gallons of paint to paint the outside of his house. Since the ratio is 3 parts blue paint to 2 parts yellow paint, we can use proportions to solve for the amount of blue paint needed.

We can set up the proportion like this:

3/2 = x/10

We can solve for x (the amount of blue paint) by cross-multiplying:

3*10 = 2*x

3*10 = 20x

20x = 30

x = 30/20

x = 1.5

Joel needs 1.5 gallons of blue paint.

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Answer: \(\$(23.65+1.343s)\)

Step-by-step explanation:

Given

Speaker set to cost $22

Each song costs $1.25

Sales tax is 7.5%

Suppose, one purchase s no of songs

The cost of s songs is $1.25s

The combined cost of speakers and song is

\(C=22+1.25s\)

At this cost, a 7.5% sales tax is applied to the given cost

\(\Rightarrow [22+1.25s]\times 0.075\)

Total cost after sales tax is

\(\Rightarrow C_t=22+1.25s+[22+1.25s]0.075\\\\\Rightarrow C_t=[22+1.25s](1+0.075)=[22+1.25s]\times 1.075\\\\\Rightarrow C_t=\$(23.65+1.343s)\)

Answer:

sqrt(8) or 2.828

Step-by-step explanation:

You use the distance formula which is sqrt((x2-x1)^2+(y2-y1)^2) where x2 can be either x value

Answer:

sqrt(8) units

Step-by-step explanation:

Use the formula d=sqrt((x2-x1)^2 + (y2-y1)^2). d=distance, and (x1, y1) and (x2, y2) are the points.

d=sqrt((4-2)^2 + (1-3)^2)

 =sqrt(2^2 + (-2)^2)

 =sqrt(4+4)

 =sqrt(8)

A and B are sqrt(8) units apart.

Answer:

C, D

Step-by-step explanation:

Step 1:  (3^2)^3 * 3^6 / 3^4

Step 2: (9)^3 * 3^6 / 3^4

Step 3: 729 * 3^6 / 3^4

Step 5: 729 * 729 / 3^4

Step 6: 531441 / 3^4

Step 7: 531441 / 81

Step 8: 6561

A = 27

B = 2187

C = 6561

D = 6561

E = 2187

Answer:

(SOMEONE HAS DELETED MY QUESTION SO I AM REPOSTING)

Step-by-step explanation:

Look at the image below!

Hope it helped! :)

Answer:

(-2,-2)

Step-by-step explanation:

Step: Substitute 3x+4 for y in y=−x−4:

y=−x−4

3x+4=−x−4

3x+4+x=−x−4+x (Add x to both sides)

4x+4=−4

4x+4+−4=−4+−4 (Add -4 to both sides)

4x=−8

4x/4=−8/4(Divide both sides by 4)

x=−2

Step: Substitute −2 for x in y=3x+4:

y=3x+4

y=(3)(−2)+4

y=−2(Simplify both sides of the equation)

In an observational study, the statement that a cause and effect can be determined is false.

Observational studies simply establish associations between predictor and outcome variables. Observational studies cannot confirm that an association contemplates cause and effect.

In observational studies, confounding variables may explain an observed relationship between predictor and outcome variables.

In an observational study, a cause and effect cannot be determined. Observational studies are used to gather data about a particular population or phenomenon, but they do not allow for the determination of cause-and-effect relationships.

This is because observational studies do not control the variables that are being studied and, therefore, cannot determine the relationship between two variables.

In order to determine cause and effect, a controlled experiment is needed in which the variables are manipulated, and their effects are observed.

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To construct a truth table for the given logical expression using De Morgan's Law, we'll break it down step by step and apply the law to simplify the expression.

Let's start with the given expression:

Xyz + X(Y Z)' + X'(Y + Z) + (Xyz)' (X + Y')(X' + Z')(Y' + Z')

Step 1: Apply De Morgan's Law to the term (Xyz)'

(Xyz)' becomes X' + y' + z'

After applying De Morgan's Law, the expression becomes:

Xyz + X(Y Z)' + X'(Y + Z) + (X' + y' + z')(X + Y')(X' + Z')(Y' + Z')

Step 2: Expand the expression by distributing terms:

Xyz + XY'Z' + XYZ' + X'Y + X'Z + X'Y' + X'Z' + y'z' + x'y'z' + x'z'y' + x'z'z' + xy'z' + xyz' + xyz'

Now we have the expanded expression. To construct the truth table, we'll create columns for the variables X, Y, Z, and the corresponding output column based on the expression.

The truth table will have 2^3 = 8 rows to account for all possible combinations of X, Y, and Z.

Here's the complete truth table:

```

| X | Y | Z | Output |

|---|---|---|--------|

| 0 | 0 | 0 |   0    |

| 0 | 0 | 1 |   0    |

| 0 | 1 | 0 |   0    |

| 0 | 1 | 1 |   1    |

| 1 | 0 | 0 |   0    |

| 1 | 0 | 1 |   0    |

| 1 | 1 | 0 |   1    |

| 1 | 1 | 1 |   1    |

```

In the "Output" column, we evaluate the given expression for each combination of X, Y, and Z. For example, when X = 0, Y = 0, and Z = 0, the output is 0. We repeat this process for all possible combinations to fill out the truth table.

Note: The logical operators used in the expression are:

- '+' represents the logical OR operation.

- ' ' represents the logical AND operation.

- ' ' represents the logical NOT operation.

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Let x represent the number of winter olympics held in North America.

Let y represent the number of winter olympics held in Europe.

Let z represent the number of winter olympics held in North Asia.

The Winter Olympics have been held a total of 21 times on the continents of North America, Europe, and Asia.

This means that

x + y + z = 21

The number of European sites is 5 more than the total number of sites in North America and Asia.

This means that

y = x + z + 5

There are 4 more sites in North American than in Asia.

This means that

x = z + 4

These are the equations. We would solve simultaneously

The olympics was held 2 times in North America, 13 times in Europe and 6 times in Asia

A formula for the mass of radium as a function of time t is: M(t) = M(0) * (1/2)^(t/1600)

Let M(t) be the mass of radium at time t. The half-life of radium is 1600 years, which means that after 1600 years, the mass will decrease to half of its original value.

So, after one half-life, we have:

M(1600) = 1/2 * M(0)

where M(0) is the initial mass of radium.

After two half-lives, or 3200 years, the mass will decrease to half of what it was after the first half-life:

M(3200) = 1/2 * M(1600) = 1/2 * (1/2 * M(0)) = 1/2^2 * M(0)

In general, after n half-lives, or nt years, the mass will be:

M(nt) = 1/2^n * M(0)

Therefore, a formula for the mass of radium as a function of time t is:

M(t) = M(0) * (1/2)^(t/1600)

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Answer:

D.

Step-by-step explanation:

By calculation (I used a calculator for this one):

Therefore, the answer is D.

The quadrilateral with no pair of parallel sides is trapezium

Given data ,

A = a quadrilateral with no pair of parallel sides

This type of quadrilateral is called a trapezium. In some countries, a trapezium is defined as having exactly one pair of parallel sides, while in other countries, a trapezium is defined as having at least one pair of parallel sides.

In any case, a quadrilateral with no pair of parallel sides is not considered a trapezium. Instead, it is known as a general quadrilateral.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

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Answer:

A

Step-by-step explanation:

The town A is symmetric the town B i skrewed positevly

I hope I helped and have a a great dayyyy

Answer:

(D)

Step-by-step explanation:

The answer is (D).

Answer:

-14/3

Step-by-step explanation:

x = unknown

\( - \frac{5}{6} + \frac{1}{2} + x = - 5 \\ \\ - \frac{5}{6} + \frac{3}{6} + x = - 5 \\ \\ - \frac{2}{6} + x = - 5 \\ \\ x - \frac{1}{3} = - 5 \\ \\ x = \frac{1}{3} - 5 \\ \\ x = \frac{1}{3} - \frac{15}{3} \\ \\ x = - \frac{14}{3} \)

Answer:

AC = 10

Step-by-step explanation:

This is a right triangle

use the pythagorean theorem

a² + b² = c²

6² + 8² = c²

36 + 64 = c²

100 = c²

Take the square root of both sides

10 = c

AC = 10

The correct answer is 10 not 12

A = P(1+r/n)(nt), where P is the original principal, r is the annual interest rate, n is the number of times the interest is compounded annually, and t is the number of years the money has been held, is the formula for compound interest.

To calculate the final amount of money in the account:

 First, divide the 8% annual interest rate by 100 to get a decimal value: 0.08.

Find the number of times the interest is compounded annually. Since it is done quarterly, the answer is n = 4.

Put these values into the formula now, along with the $1200 principle sum and the number of years, 5, to complete it:

A = $1200(1+(0.08/4))^(4*5) = $2490.07

  to determine how long it will take for the initial sum to double to $2400.

 Divide the final sum by the starting sum: 2400/1200 = 2

 Take the natural logarithm of 2: ln(2) = 0.693

Decimalize the result and divide it by the interest rate: 0.693 / 0.08 = 8.66 years

 Therefore, the time it will take for the initial sum of money to double to $2400 is 8.66 years.

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Answer:

The real solutions are:

x = -5, -3, 4, 8

It can be seen from the graph that basketball is the favorite sport of the majority of teenagers as it has the highest bar. The correct statement is that basketball is the favorite sport of most teenagers.

A graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related". The objects correspond to mathematical abstractions called vertices (also called nodes or points) and each of the related pairs of vertices is called an edge (also called link or line).

Typically, a graph is depicted in diagrammatic form as a set of dots or circles for the vertices, joined by lines or curves for the edges. Graphs are one of the objects of study in discrete mathematics.

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Answer:

\(9\)

Step-by-step explanation:

\(g(4) = 4^2 = 16\)

\(f(g(4)) = f(16) = 16 - 7 = 9\)

Answer:

9

Step-by-step explanation:

g(4) = (4)²

f(g(4)) = ((4²)-7)

f(g(4)) = 16 - 7

f(g(4)) = 9

As given, the 99% confidence interval is (-0.13, 0.37).

To check if the coffee shop owner's claim is justified, we can check if the confidence interval contains zero. If it does, then we cannot reject the null hypothesis (the claim), and if it doesn't, then we reject the null hypothesis.

In this case, the interval (-0.13, 0.37) contains zero, hence we cannot reject the null hypothesis at a 99% level of confidence. Therefore, we can say that there is not enough evidence to support the owner's claim that customers who drink espresso are less likely to use their own cup compared with customers who drink coffee.

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The number of balls, given the ratio of white balls to yellow balls that could not be in the bag is C. 42 balls.

The number of balls that could not be in the bag, given the ratio of white balls to yellow balls, is the number that would not give a whole number when multiplied by the ratio of white balls to yellow balls.

26 balls :

= 3 / ( 10 + 3 white balls ) x 26

= 3 / 13 x 26

= 6 balls

39 balls :

= 3 / 13 x 39

= 9 balls

42 balls :

= 3 / 13 x 42

= 9.69 balls

There therefore cannot be 42 balls.

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Options for this question include:

Answer:

c

Step-by-step explanation:

Answer:

lets say All of the above.

Step-by-step explanation:

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

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

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

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

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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