what was the average speed of the winner in miles per hour? Explain

The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

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Based on the information provided, it is not clear what type of study the sales director is conducting. To determine the type of study, we need more specific details about the methodology and purpose of the study.  A survey involves collecting data by asking individuals a set of predetermined questions.

If the sales director is collecting data by asking participants about their opinions, preferences, or experiences, then it could be a survey.An observational study involves observing and recording data without intervening or manipulating any variables. If the sales director is simply observing and recording the sales behaviors and patterns of the sales team without any intervention.

An experiment involves manipulating variables and studying the effects on the outcome. If the sales director is testing different sales techniques or strategies by manipulating variables and measuring the impact on sales performance, then it could be an experiment.

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The sales director is conducting a survey. The sales director is conducting a survey to gather information from customers or other individuals. A survey is a useful research method for collecting data and gaining insights that can inform business decisions.

A survey is a research method that involves gathering information from a sample of individuals through the use of questionnaires, interviews, or online forms. It is commonly used to collect data on people's opinions, attitudes, behaviors, or characteristics.

In this case, the sales director is likely using a survey to gather information about customers, sales strategies, or market trends. Surveys can provide valuable insights that help businesses make informed decisions and improve their sales performance.

For example, the sales director may distribute a survey to customers to gather feedback on their satisfaction with the company's products or services. The survey could include questions about their buying preferences, reasons for choosing the company, or suggestions for improvement. By analyzing the responses, the sales director can identify areas of strength and areas that need improvement, ultimately helping to drive sales growth.

It is important to note that a survey is different from an observational study or an experiment. In an observational study, researchers simply observe and record data without intervening or manipulating variables. On the other hand, an experiment involves intentionally manipulating variables to determine cause-and-effect relationships.

In summary, the sales director is conducting a survey to gather information from customers or other individuals. A survey is a useful research method for collecting data and gaining insights that can inform business decisions.

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Answer:

total surface area = 2πr(r+h)

2×22×3(3+10)

7

=1716

7

= 245.15cm²

Answer:

40cm²

Step-by-step explanation:

A=b×h

A=10cm×4cm

A=4O²/40cm²

Answer:

C. 42 is 6 times as many as 252

Step-by-step explanation:

because 42×6 = 252

Answer:

\(x\geq 0\\\)

Step-by-step explanation:

The value of the car when she first purchased is $25001.73

Given,

current value of car =$18701.30

rate of depreciation annually=7%

time period =4 years

let the value of car when she first purchased be'x'

To find the value of car when she first purchased when it depreciated exponentially at constant rate ,use formula,

\(a(1-\frac{r}{100})^t=b\)

Where,

a=value of car when she purchased

r=rate of depreciation annually

t=time period

b=current value of car

\(x(1-\frac{7}{100})^4=18701.30\\\\x(1-0.07)^4=18701.30\\\\x(0.93)^4=18701.30\\\\x(0.748)=18701.30\\\\x=\frac{18701.30}{0.748}\\\\x=25001.73\)

Thus, the value of the car when she first purchased is $25001.73

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Answer:

Ed now has $6.09

Answer: B. statistic

Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.

Answer:

Letter B, distinct parallel lines

Step-by-step explanation:

I used a graphing calculator, tell me if it's correct.

There are 450 triangles, we can pick that do not form an equilateral triangles when 15 dots are evenly spaced on the circumference of a circle.

Let's calculate the total no. of possible triangles, it depends on the combination. To make a triangle, we have to choose 3 dots out of 15.

Here, we will use the combination rule to find out the possible triangles,Thus, the total number of possible triangles = 15C3                                                                      = (15.14.13) / (1.2.3) = 455

Note that an equilateral triangle would be formed by connecting 3 equally spaced dots.

For an equilateral triangle, out of 15 dots, there would be 15 - 3 = 12 dots that will not be connected.

And 12/3 = 4 dots would be between any two connecting dots.

Taking 1st connecting dot, the second connecting dot would be

1 + 4 + 1 = 6th

Similarly, the third connecting dot would be 6 + 4 + 1 = 11th

So, the following connecting dots will form equilateral triangles: (1, 6, 11); (2, 7, 12); (3, 8, 13); (4, 9, 14); (5, 10, 15);

After applying the combination rule we found the total number of the possible triangle and there are 5 equilateral triangles:

So, there are 455 - 5 = 450 triangles that are not equilateral triangles.

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10 liters of water was drained out of the tank in one minute and it would take 80 minutes to completely drain the water

This is the slope of the graph

From the graph, we have

(x, y) = (0, 800) and (40, 400)

So, we have

Slope = (400 - 800)/(40 - 0)

Evaluate

Slope = -10

This means that 10 liters of water was drained out of the tank in one minute

From (a), the equation of the line would be

y = -10x + 800

When the water is completely out, we have

-10x + 800 = 0

So, we have

x = 80

This means that it would take 80 minutes

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Answer:

11" x 16"

Step-by-step explanation:

This problem can be solved with an equation

If you translate the first words into an equation, you get:

l = 2w - 6

(where w is width and l is length)

The perimeter (p) of any rectangle is 2l + 2w, so

if p = 54

then 54 = 2l + 2w

Now, you have the following two equations:

l = 2w - 6

2l + 2w = 54

In order to solve this for w, you can replace the l in the equation with (2w - 6) because of the substitution property of equality (if a = b, then a can be replaced with b at any time), so you get:

54 = 2(2w - 6) + 2w

Now, you simplify:

54 = 2(2w - 6) + 2w

= 54 = 4w - 12 + 2w

= 54 = 6w - 12

= 66 = 6w

= w = 11

So the width is 11. In order to find the length you just need to substitute it into the equation for the perimeter:

2l + 2(11) = 54

= 2l + 22 = 54

= 2l = 32

= l = 16

In conclusion, the width is 11 and the length is 16.

Answer:

OMG HI

Step-by-step explanation:

It's been a while... how's life

Using Normal distribution,

Mean of the sampling distribution of samples is 62 and

Standard deviations of the sampling distribution of means is 0.71

We have given the data about the speeds of vehicles on strech highway at time of weekend and week days.

Mean of speed of vehicles (μ) = 62

Standard deviations (σ) = 5

sample size (n) = 50

we have to calculate the mean and standard deviations of sampling distribution of means.

Normal distribution, let X be Random variable

X ~ N ( µ = 62 , σ = 5 )

The mean (μX-bar) and standard deviations (σX-bar) of sample mean (X-bar) satisfying

μX-bar = μ

and σX-bar = σ/√n

=> μX-bar = 62

and σX-bar = 5/√50 = 0.707 ~ 0.71

so, required Mean of sampling distribution of means is 62 and required standard deviations of the sampling distribution of means is 0.71 .

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The correlation that demonstrates the weakest correlation between two variables is option a) +.20.

Among the given options, the correlation that demonstrates the weakest correlation between two variables is option b) -50.

In correlation coefficients, the value ranges from -1 to +1, where -1 represents a perfect negative correlation, +1 represents a perfect positive correlation, and 0 represents no correlation or a very weak correlation.

Let's analyze the options provided:

a) +.20:

This indicates a positive correlation, but the value is relatively small (0.20).

It suggests a weak positive relationship between the variables.

b) -50:

This option appears to be a typographical error since the correlation coefficient cannot be negative 50.

Assuming it is meant to be -0.50, this indicates a moderate negative correlation.

c) +.75:

This option represents a strong positive correlation.

With a coefficient of 0.75, it suggests a relatively strong positive relationship between the variables.

d) -76: Similar to option b, this value appears to be a typographical error. A correlation coefficient cannot exceed the range of -1 to +1.

Assuming it is meant to be -0.76, this indicates a strong negative correlation.

Comparing the given options, the weakest correlation is option b) -50, assuming it was intended to be -0.50. A correlation coefficient of -0.50 represents a moderate negative correlation, which is weaker than the other options but still indicates some relationship between the variables.

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To determine a formula for the n-th term of an arithmetic sequence, we need to find the common difference (d) first.

The common difference is the constant value that is added or subtracted to each term to get to the next term.

In this case, we can find the common difference by subtracting the fourth term from the seventh term:

d = a₇ - a₄

d = 31 - 19

d = 12

Now that we have the common difference, we can use it to find the formula for the n-th term of the arithmetic sequence. The formula is given by:

aₙ = a₁ + (n - 1)d

In this formula, aₙ represents the n-th term, a₁ represents the first term, n represents the position of the term, and d represents the common difference.

Since we don't have the first term (a₁) given in the problem, we can find it by substituting the known values for a₄ and d:

a₄ = a₁ + (4 - 1)d

19 = a₁ + 3(12)

19 = a₁ + 36

a₁ = 19 - 36

a₁ = -17

Now we can substitute the values of a₁ and d into the formula to get the final formula for the n-th term:

aₙ = -17 + (n - 1)(12)

Therefore, the formula for the n-th term (aₙ) of the given arithmetic sequence is aₙ = -17 + 12(n - 1).

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Answer:

Step-by-step explanation:

-2x^7 + 20x^5 + 8x^4 + 3x^3 - 30x - 12

the answer is the first one

Answer:

the answer is b ok understand

An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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Answer: -3/16

Step-by-step explanation:

When there is a negative exponent like x^-2 it equals 1/(x^2) the negative puts the number as a fraction so continuing...

-12(x^-2) (y^-2) can be rewritten as

-12 (1/x^2) (1/y^2) now we plug in x = -2 and y = 4

-12 (1/(-2^2) (1/(4^2)); -2^2 = 4 , 4^2 = 16

-12 (1/4) (1/16)

-3 (1/16)

= -3/16

Answer:

$2597.50

Step-by-step explanation:

To calculate the amount of money Cameron has in his savings account now, we can use the formula for simple interest:

Interest = Principal * Rate * Time

Given that Cameron put $2500 in the savings account and the interest rate is 1.3%, we need to determine the time period. Since it is mentioned that it has been 3 years, we can substitute these values into the formula:

Interest = $2500 * 1.3% * 3 years

Calculating the interest:

Interest = $2500 * 0.013 * 3 = $97.50

To find the total amount in his savings account, we add the interest to the principal:

Total amount = Principal + Interest = $2500 + $97.50 = $2597.50

Therefore, Cameron has $2597.50 in his savings account now.

Answer: $2597.50

Step-by-step explanation: A=2500 (1+0.013*3) simplified we get 2500(1.039) and multiple all that and you get 2597.50

The range is the best measure of variability for this data, and it equals 8.

In statistics, the range is a measure of variability that describes the difference between the largest and smallest values in a dataset. It is the simplest measure of variability and is calculated by subtracting the smallest value in the dataset from the largest value.

The range is a measure of variability that tells us the spread of the data, i.e., how far apart the minimum and maximum values are. It is calculated by subtracting the smallest value in the dataset from the largest value.

In the given line plot, the horizontal axis represents the number of rose bouquets purchased per day, and the vertical axis represents the frequency (i.e., how many times that particular number of rose bouquets was purchased). Based on the plot, we can see that the lowest number of rose bouquets purchased in a day is 1, and the highest number is 9. Therefore, the range is 9 - 1 = 8.

In contrast, the IQR (interquartile range) is a measure of variability that gives us an idea of how spread out the middle 50% of the data is. It is calculated by subtracting the 25th percentile (Q1) from the 75th percentile (Q3). Since we do not have the values for Q1 and Q3, we cannot calculate the IQR for this dataset.

Therefore, the range is the best measure of variability for this data, and it equals 8.

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Answer:

42

Step-by-step explanation:

18/3 = 6

6*7 =42

Answer: 248 miles

Step-by-step explanation: The equation is x+2x+2x-60 where x is the mom and 2x is Dad and since dad drove 60 miles more than alex then Alex drove 60 miles less than dad so 2x -60 is alex. Altogether x+2x+2x-60 = 560 total miles driven and solved is x = 124 however x is just the mom. The dad drove twice as much so we have to double 124 or multiply by 2 to get the amount The dad drove which is 124*2= 248 miles

Answer:

18.75

Step-by-step explanation:

Answer:

18.75

Step-by-step explanation:

32/32

Answer:

183/28

Step-by-step explanation:

Answer:

New coordinates of  P' are:  P'(5, -3)

Hence, option B i.e. P'(5,-3) is correct.

Step-by-step explanation:

When a point A(x, y) is rotated 90° clockwise around the origin, we flip x and y and reverse the sign of x.  

Thus,  

The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:  

A(x, y) → A'(y, -x)

In our case, the point P(3, 5) is rotated 90° clockwise about the origin. Thus, the coordinates of  P' will be:

A(x, y) → A'(y, -x)

P(3, 5) → P'(5, -3)

Therefore, coordinates of P' are:  P'(5, -3)

Hence, option B i.e. P'(5,-3) is correct.

Answer:

Step-by-step explanation:

1600 divided by 40

=40 ft