Consider this conditional statement.
If a person is a professional athlete, then the person is a professional hockey player.
(a) Give the contrapositive of the statement.
If (Choose one)
then (Choose one)
(b) Give the converse of the statement.
If (Choose one)
then (Choose one)
(c) Give the inverse of the statement.
If (Choose one)
then (Choose one)

Answer:

The probability of selecting a peach is 8/14, or approximately 0.57.

The probability of not selecting a peach is 6/14, or approximately 0.43.

The total of these two probabilities is 1, because any given selection must either be a peach or not a peach.

The probability of selecting a plum cannot be determined because the number of plums in the bowl is not specified.

The sum of the probabilities of selecting a peach and a plum cannot be determined for the same reason as in 4.

Step-by-step explanation:

Answer:

=40b+24

Step-by-step explanation:

Answer:

your answer is 996

1000 - 4 = 996

Answer:

(-∞, -4)

Step-by-step explanation:

11x > 4(1+3x)

11x > 4*1+4*3x  ==> distribute 4 to 1 and 3x using the distribution property

11x > 4 + 12x  ==> simplify

11x-12x > 4 + 12x-12x  ==> isolate x by subtracting 12x on both sides

-x > 4

x < -4  ==> when dividing by a negative number, switch the inequality sign

x < -4 can also be written as -∞ < x < -4

This is because x is greater than -∞ but can never equal -∞.

-∞ < x < -4 ==> (-∞, -4)

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The kinetic energy of the roller coaster is 2000Joules

Given the formula for expressing the velocity of the roller coaster is given as:

\(v = \sqrt{\frac{2k}{1000} }\)

Given the following parameter:

v = 10m/s

Substitute the given parameter into the formula to have:

\(10 = \sqrt{\frac{2k}{1000} }\)

Square both sides of the equation:

\((10)^2=(\frac{2k}{1000} )^2\\100=\frac{4k^2}{1,000,000} \\4k^2=100,000.000\\k^2=\frac{100,000,000}{4} \\k^2=4,000,000\\k=2000Joules\)

Hence the kinetic energy of the roller coaster is 2000Joules

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Answer:

You need to use √2k/1000 formula.

2000 joule is the correct answer.

Answer:

The equivalent expression of \(\ln(6\cdot a + 9\cdot b)\) is \(\ln 3 + \ln (2\cdot a + 3\cdot b)\).

Step-by-step explanation:

Let be \(r = \ln (6\cdot a + 9\cdot b)\), which is now solved as follows:

1) \(\ln(6\cdot a + 9\cdot b)\) Given.

2) \(\ln [3\cdot (2\cdot a + 3\cdot b)]\) Distributive property.

3) \(\ln 3 + \ln (2\cdot a + 3\cdot b)\) (\(\ln (x\cdot y) = \ln x + \ln y\)) Result.

The equivalent expression of \(\ln(6\cdot a + 9\cdot b)\) is \(\ln 3 + \ln (2\cdot a + 3\cdot b)\).

We want to find an equivalent expression to ln(6a + 9b). We will get:

ln(6a + 9b) = ln(3) + ln(2a + 3b)

Here we will be using the rule:

ln(x) + ln(y) = ln(x*y)

Now let's see our expression:

ln(6a + 9b) = ln(3*(2a + 9b))

Now we use the above rule to write:

ln(3*(2a + 3b)) = ln(3) + ln(2a + 3b)

Then the equivalent expression is:

ln(6a + 9b) = ln(3) + ln(2a + 3b)

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In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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Answer:

(1,4)

Step-by-step explanation:

That's the rate that each coordinate point goes up by as well as it's the first point in the table

Answer:

A. 3;12

Step-by-step explanation:

in the crossover between the baseball section and the soccer section it shows 3 people who play those two sports. those crossovers are with people who play exactly 2 sports, if you add them all 3+5+4 you get 12 people who play only 2 sports.

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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The plane is most likely taking off.The two vectors provided, position and velocity, indicate that the plane is moving eastward with a velocity of 150 m/s and is ascending with a vertical velocity of 21m/s.

This indicates that the plane is taking off, and not just touching down, ascending, or in level flight.

The position and velocity vectors of the plane indicate that the plane is moving in an eastward direction with a velocity of 150 m/s, and is also ascending with a vertical velocity of 21 m/s. This indicates that the plane is taking off, and not just touching down, ascending, or in level flight. This means that the plane is most likely taking off from the origin and is in the process of gaining altitude.

the complete question is :

( figure attached below )

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Hey

terms are

9k , 7 , k , 4

the variable is

k

coefficients are

9 , -1

Answer:

6/15

Step-by-step explanation:

Answer:

90*12=1080

1080*13.2=14256

14256:100=142,56pounds

Answer:

median value = 73 years

Step-by-step explanation:

The median age of the uninsured senior citizens can be determined by determining the middle position of the row of data given

median = [( n + 1 ) / 2 ] ^th

n = 25

median = (25 + 1 ) / 2 = 26 / 2 = 13

This means that the median value is located in the 13th position

The number in the 13th position = 73 years

Answer:

1.) inverse proportion : 1kx = y

2) direct proportion. y = kx

To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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Answer:

the measurement of N is D, 81.

Step-by-step explanation:

The angle measurement of a Right Angled Triangle is 90 degrees. And based off the angle dimension given in the image above ( 9 degrees ), you need to subtract 90 ( the angle dimension of the triangle) with the angle dimension given (9 degrees) which gets you to an answer of 81 degrees.

Based on the annuity payment that Marie will make and the number of years, the nt value that she will use in her formula is 360 months.

The nt value is the number of periods that Marie will need to pay her annuity payment. This value can be yearly, monthly, weekly and even daily.

As the mortgage compounds monthly in this instance, the nt value will need to be monthly as well.

To find the nt value, the formula is:
= Number of years x number of compounding periods per year

= 30 x 12 times a year

= 360 months

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Answer:

360

Step-by-step explanation:

i did that and i got it right

The radius of the cylinder is equal to 10 feet.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given parameters into the formula for the volume of a cylinder, we have the following;

V = πr²h

1,570 = 3.14 × r² × 5

1,570 = 15.7r²

r² = 1,570/15.7

r² = 100

Radius, r = √100

Radius, r = 10 feet.

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The equation of line is y = ( -6/5 )x + 2 , where the slope is m = ( -6/5 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -6/5 )

The y intercept of the line is b = 2

So , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

On simplifying , we get

y = ( -6/5 )x + 2

Hence , the equation of line is y = ( -6/5 )x + 2 and the graph is plotted

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The (equivalent) compound annual rate at which Anders' salary has grown during the 12 years is 4.9%.

The compound annual rate is the equivalent rate of interest at which the present value of money grows to attain a future value.

At a 4.9% compound annual rate, Anders' salary has been growing by adding the growth amount to the initial salary and compounding both the principal and subsequent interest amounts until 12 years.

N (# of periods) = 12 years

PV (Present Value) = $2,800

PMT (Periodic Payment) = $0

FV = $-4,971.23

Results:

I/Y (Interest per year) = 4.9%

Total Interest = $2,171.23

Thus, using the online finance calculator, we can determine that Anders' salary has been compounded at 4.9% annually.

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Answer: search

Step-by-step explanation: look up the question on your browser and the answer will pop up

Answer:

N = 20

Step-by-step explanation:

5/3 = 1 2/3

20/12 = 1 8/20

They are equivalent

The Event of choosing a letter from F to D is

n(A) = 4

A series of possible results from an experiment that have been given a probability is called an event. Separate events in an experiment may not be equally probable, since they may involve vastly dissimilar sets of outcomes, and a single result may be a component of many different events.

Given that a bag contains eight different balls, each of which is labeled from A to H. Given that a ball is selected at random, and the letter it lands on is written down as the result. Given that there is an equal chance of drawing any one of the balls, the sample space for drawing one ball is

Generally, the equation for S is  mathematically given as

S = {A,B,C,D,E,F,G,H} and n(S) = 8

Therefore

G = The event of choosing a label from D to F

Where

F= {A,B,C,D}  

Sample size

n(A) = 4

In conclusion,

n(A) = 4

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Answer:

The following composite number is 63

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.

If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.

The possible outcomes when two coins are flipped are;

head - head = HH

tail - tail = TT

Head and tail = HT

Tail and head = TH

The probability of getting two heads = 1/4

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;

Expected value = (68 flips) x (1/4 probability of getting HH) = 17

The probability of getting two tails = 1/4

Expected value = 68 x 1/4 = 17

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a. The bill when Cameron and Cadena go out to eat for lunch is $24.525

b. The percentage of the cost of their food and beverages that they give as tip will be 18%.

From the information, Cameron and Cadena go out to eat for lunch. If their food and beverages cost $22.50 and there is a 9% meals tax, the bill will be:

= $22.50 + (9% × $22.50)

= $22.50 + $2.025

= $24.525

The percentage of the cost of their food and beverages that they give as tip will be:

= (28.95 - 24.525) / 24.525 × 100

= 18%

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