Kelly flies a distance of 2,100 miles. The trip takes 4 hours. A. What is the airplane's unit rate of speed in miles per hour? B.At this rate of speed, how many miles will the airplane travel in 1 1/2 hours?​

In Bimodal Distribution two nonadjacent values occur more frequently than any other values in a set of data.

According to the statement

we have to tell about the that type of distribution in which two nonadjacent values occur more frequently than any other values in a set of data

A bimodal distribution has two peaks. In the context of a continuous probability distribution, modes are peaks in the distribution.

and from this definition we have clear that the in this distribution the values are repeated.

it shows the probability distribution with two peaks in the graphical mode.

Bimodal distribution show repeated value.

it is used in many types of data representation because of two peaks graphical representation than the simple graph.

it is the easiest method than the others distributions.

So, In Bimodal Distribution two nonadjacent values occur more frequently than any other values in a set of data.

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Answer:

1. -2x+24

2. 3x+21

3. 5x-17

4. 3x²+12x

5. 18

Step-by-step explanation:

2. 3(x)+3(7)=3x+21

3. 5(x)+5(-4)+3= 5x-20+3=5x-17

4. 3x(x)+3x(4)=3x²+12x

5. 3(10)-12=30-12=18

Answer:

1.) -2x + 24

2.) 3x + 21

3.) 5x - 17

4.) 15x

5.) 18

Step-by-step explanation:

1.) The first step to simplify this equation is to combine like terms. Also remember to always keep the sign before the number/variable to use when combining like terms.  

3x + 14 - 5x + 10

3x - 5x + 14 + 10

   -2x + 24

2.) Use distributive property to distribute the 3 to x and 7. Keep the sign.

3(x + 7)

3x + 21

3.) Use distributive property to distribute the 5 to x and 4 then add three. Keep the signs. Combine like terms.

5(x - 4) + 3

5x - 20 + 3

5x - 17

4.) Once again, use distributive property to distribute the 3x to x and 4. When multiplying 3x times x just think of x with a 1 in front of it (1x) and just multiply 3 times 1. Carry the x when multiplying 4x times 4. Combine like terms.

3x (x + 4)

3x + 12x

15x

5.) All you have to do is replace x in "3x" and solve.

3(10) - 12

30 - 12

18

If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)

Answer:

36

Step-by-step explanation:

10+8+6+6+6

Area of the top rectange is 10 (2x5)

Area of the bottom rectange is 8 (2x4)

Area of the right rectangle is 6 (2x3)

Area of both the triangles are 6 (4x3 divided by 2)

According to the question we have  the 99% UCB on the mean time of the race is 223.

The formula for finding the upper confidence bound (UCB) is UCB = Mean + (Zα/2)(σ/√n), where Mean is the sample mean, Zα/2 is the z-score for the desired level of confidence, σ is the population standard deviation (which is not given, so we'll use the sample standard deviation instead), and n is the sample size.

We are given the sample of times as follows:137, 143, 153, 162, 168, 176, 190, 192, 196, 203, 218, 223, 236, 243, 252, 269, 271, 276, 283, 287.

We'll need to calculate the sample mean and standard deviation before we can find the UCB. Using a calculator, we get: mean ≈ 207.65s ≈ 48.41 Next, we'll use a table or calculator to find the z-score for a 99% confidence interval, which is Zα/2 = 2.576.

Now we can plug in the values we know to get the UCB:UCB = mean + (Zα/2)(σ/√n)UCB ≈ 207.65 + (2.576)(48.41/√20)UCB ≈ 223.02 .Therefore, the 99% UCB on the mean time of the race is 223.

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Answer:

c/5 -4 tep-by-step explanation: I think this  is the answer

Answer:

x = 20º

Step-by-step explanation:

we know that  sin x = cos(90-x)

Hence

sin 30º = cos(90 - 30)º

sin 30º = cos 60º

hence sin 30º can be also written as cos 60º

Also, as given

sin 30º = cos(3x)

therefore

cos 60º =  cos(3x)

as we have cos on both side then angle for both side will be same

60º =  3x

=> 60º / 3 = x

=> x = 20º

Then  x = 20º is answer.

Answer:

option no.D

6y+15x

Step-by-step explanation:

hope it helps

The point estimate of the population mean is 18.4. Therefore, the correct answer is (d) is 18.4

When conducting a statistical study, it is important to have a good understanding of the population in question. In such cases, a sample of the population can be taken to infer information about the population.

One of the key parameters that is of interest is the population mean. The population mean represents the average value of a particular characteristic in the entire population. However, since it is usually not possible to collect data from the entire population, we use the sample mean as an estimate of the population mean.

In the given scenario, a simple random sample of a population was taken, and the following data was collected: 13, 17, 18, 21, 23. The point estimate of the population mean can be calculated by taking the mean of the sample.

The sample mean is calculated as follows:

(13 + 17 + 18 + 21 + 23) / 5 = 92 / 5 = 18.4

Therefore, the point estimate of the population mean is 18.4, option (d).

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Answer:

The wording is quite confusing, but here it goes

Step-by-step explanation:

T(track)= 14 of a mile. 1 mile is 5280 feet. If Elena is running each lap at 116 of an hour, (116%?) then 16% of 60 is 9.6 minutes, so each lap takes 69.6 minutes. One lap is 1312 feet, so 5280/1312= 4.02, so she can run 4 laps, which will take her 278 minutes. So 1312 is 24% of a mile, and she is running at .24 mph.

Answer:

Step-by-step explanation:

f(-2) = 4(-2) + 10 = -8 + 10 = 2

answer is C

The percentage of Zachary's pay due to his deductions comprise exists 18.724%.

Zachary exists supposed to earn a paycheck of $20,160.00 but instead, he acquires a lesser amount of money due to deductions. The money he acquires after deductions exists at $16,385.31.

Money deducted = Original paycheck amount - deductions

= $20,160.00 - $16,385.31

= $3,774.69.

So Zachary obtains a deduction of $3,774.69.

To estimate the percent of deductions in terms of his pay we divide the deduction cost with the original paycheck amount and multiply it by 100 to transform it into a percentage.

Deduction % = ($3,774.69 / $20,160.00) \(*\) 100

= 0.1872366 \(*\) 100

= 18.72366%

We obtain the deduction percentage as 18.724%.

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Answer:

-19

Step-by-step explanation:

Step-by-step explanation:

this is the solution

I hope it helps

Answer:

D

Step-by-step explanation:

(im only 95% sure)

Answer:

If the person saves 5 dollars each week, it would be represented by 5w, and if he mows the lawn for 15 dollars, it would be 5w+15, and the inequality would say that it is greater than or equal to 75.

Hope this helps!

A scatter plot is a graph that displays the relationship between two variables, with one variable on the x-axis and the other on the y-axis.

Correlation refers to the relationship between two variables and is often measured by a correlation coefficient. The points on the scatter plot represent the values of the two variables for each observation.

To determine the type and strength of correlation suggested by a scatter plot, one must look at the overall pattern of the points. If the points on the scatter plot form a roughly linear pattern, then there may be a correlation between the two variables. If the points form a tight cluster around a line, then the correlation is strong.

If the points are more spread out, then the correlation is weak. If the line slopes upward, then there is a positive correlation, while a downward slope indicates a negative correlation. If the points are randomly scattered with no discernible pattern, then there is no correlation.

It's important to note that correlation does not imply causation. Just because two variables are correlated does not necessarily mean that one causes the other.

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Answer:

x= -17/9

Step-by-step explanation:

hope this helps!!!

Answer:

x=1.888....

Step-by-step explanation:

4 (4x - 4 ) + 2 x + 4 = -46

16x-16+2x+4=-46

18x-12=-46

+12 on both sides

18x=-34

x=1.888....

The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.

Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.

Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.

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Answer:

72 m²

Step-by-step explanation:

12 m × 8 m = 96 m²

(12 × 4) ÷ 2 = 24 m²

96 m² - 24 m²

72 m²

The correct answers are:

Positive, because as the quantity of water within the pond increases, the quantity of habitat will increase. There is a strong terrible courting indicating that with a boom within the age of male adults, there may be an associated lower in the amount of hair on the top. Plot 1: r = 0.96, Plot 2: r = -0.87

In reading the relationship between the amount of water (X) in a fishpond and the quantity of habitat (Y), we'd anticipate the correlation between X and Y to be tremendous. This is because as the amount of water inside the pond will increase, it gives more sources and areas for the habitat to thrive, ensuing in an increase in the extent of habitat.

Regarding the correlational examination on person men with the variables of age (X) and amount of hair on the pinnacle (Y), a correlation coefficient of r = -0.80 indicates a robust poor courting.

This means that as the age of male adults will increase, there's a related decrease in the quantity of hair on the top. The poor correlation indicates that older males generally tend to have less hair on their heads as compared to younger men.

For the two plots furnished, the quality matches for the correlation coefficients are:

Plot 1: r = 0.96

Plot 2: r = -0.87

These correlation coefficients imply a strong effective courting in Plot 1 and a robust terrible courting in Plot 2, respectively.

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The correct question is:

"Suppose you are in studying the relationship between the amount of water (X) in a fish pond and the volume of habitat (Y). You would expect the correlation between X and Y to be because O, because we cannot determine without data. Positive, because as the amount of water in the pond increases the volume of habitat increases Positive, because as the amount of water in the pond increases the volume of habitat decreases. Positive, because as the amount of water in the pond increases the volume of habitat decreases. Negative, because as the amount of water in the pond increases the volume of habitat decreases. Suppose you conducted a correlational study on adult males with the variables of age (x) and amount of hair on the head (Y). Your study revealed a correlation coefficient r = -0.81. What will be your interpretation for this result? There is a strong positive relationship indicating with an increase in age of male adults there is an associated decrease in amount of hair on the head. There is a weak positive relationship indicating with an increase in age of male adults there is an associated increase in amount of hair on the head. There is a weak negative relationship indicating with an increase in age of male adults there is an associated decrease in amount of hair on the head. The relationship between age of male adults and the amount of hair on the head is curvilinear There is a strong negative relationship indicating with an increase in age of male adults there is an associated decrease in amount of hair on the head. Based on the two plots provided below, match the correlation coefficients that best describe the two plots. Plot 1 Plot 2 3 10 11 2 2 9 Plot 1 = -0.002, Plot 2 = -0.80 Plot 1 = 0.96, Plot 2 = -0.87 Plot 1 = 0.96. Plot 2 - 0.40"

Answer:

7 hours

Step-by-step explanation:

If you divide

171 ÷ 9

you find the $ Tammy made in 1 hour.

171 ÷ 9 = 19

So Tammy made 19 for 1 hour of work.

Then we divide 133 by 19 to find out for how many hours she has to work.

133 ÷ 19.67 = 7. So Tammy has to work 7 hours to make $133.

The compound inequality to find the range of scores she can make on her final exam to receive a C will be 44.5 ≥ x ≥ 71.5

Based on the information, the inequality will be:

70 ≥ (73 + 83 + 85 + 90 + 2x) / 6 ≥ 79

70 ≥ (331 + 2x) / 6 ≥ 79

420 ≥ 331 + 2x ≥ 474

89 ≥ 2x ≥ 143

44.5 ≥ x ≥ 71.5

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Alaina has scores of 73,83,85,90 on her math tests. Use a compound inequality to find the range of scores she can make on her final exam to receive a C in the course. The final exam counts as two tests, and a C is received if the final course average is from 70 to 79

The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)

To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.

From the given information, we can observe that Lindsey's scores are increasing at the same rate.

This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.

Let's denote the first term as a₁ = 67 and the common ratio as r.

Recursive Formula:

In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:

aₙ = aₙ₋₁ \(\times\) r

For Lindsey's scores, the recursive formula would be:

aₙ = aₙ₋₁ \(\times\) r

Explicit Formula:

The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.

The explicit formula for a geometric sequence is:

aₙ = a₁ \(\times r^{(n-1)\)

For Lindsey's scores, the explicit formula would be:

aₙ \(= 67 \times r^{(n-1)\)

In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.

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Answer:

{(1, 3), (2, 3), (3, 3), (4, 3)}

{(-3, 7), (1, 4), (2, 9), (5, 0)}

{(-2,5), (-1, 2), (0, 1), (1, 2)}

Step-by-step explanation:

those three have different domains

yes there is a a correlation

f(x) = 4x + 60

slope = 4

y-intercept = 60

There is a correlation between the number of hours spent on studies and the score on music test.

As we increase the 0.5 hour on studying, then the music score increases by 2. The function which best fits the data for the correlation is y=60 + 4x

The slope and y-intercept of the plot indicate? that Y= score obtained in music test and X=number of hours spent on studying. The slope of the above equation represent the rate of increase in music score with respect to an increase in the number of hours spent on studying.

The y-intercept gives the music score when the number of hours spent on studying is zero.

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Answer:

Concept: Higher level Mathematics- Derivatives

\( \frac{ax + b}{ \sqrt{x} } \frac{d}{dx} \)

Therefore, the probability of getting exactly 5 correct out of 10 when guessing randomly is 0.2461.

This is a binomial probability problem, where each question is a trial with a probability of success (getting the correct answer) of 1/4, since there are four possible answers and only one is correct. We want to find the probability of getting exactly 5 correct out of 10, so the number of trials is n = 10 and the number of successes we want is k = 5.

The formula for the probability of getting k successes in n trials, each with a probability of success p, is:

P(k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) is the number of ways to choose k successes out of n trials, and is calculated as n! / (k! * (n-k)!).

Plugging in the values for this problem, we get:

P(5) = (10 choose 5) * (1/4)^5 * (3/4)^5

= (252) * (1/4)^5 * (3/4)^5

= 0.2461 (rounded to four decimal places)

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Answer:

A = 49\(\pi\)

Step-by-step explanation:

First, we need to find the length of the wire. We can calculate this because we are given the area of the square, so we can work backwards.

Use the area formula and plug in the numbers:

A = s²

121 = s²

11 = s

We can calculate the length of the wire by multiplying 11 by 4, which is 44.

Now, we know the circumference of the circle is 44 units because that is how long the wire is.

We can work backwards again to find the radius, using the circumference formula:

C = 2\(\pi\)r

44 = 2\(\pi\)r

22 = \(\pi\)r

7 = r

Now, we can find the area of the circle:

A = \(\pi\)r²

A = \(\pi\)(7)²

A = 49\(\pi\)