An oarsman can row his boat 3 mph in still water. He sets out on the Illinois River, which flows at 5 mph. We are interested in what an observer on shore measures. 14) When the man heads the boat directly downstream and rows as fast as he can, how fast does the observer on shore see the boat going

Answer:

y = -400

Step-by-step explanation:

y = 350 - 25(x)​

Let x = 30

y = 350 - 25*30

y = 350 - 750

y = -400

Answer:

$76.70 is the answer.

Step-by-step explanation:

18% of 65.00 is 11.70. I added 11.70 to $65.00, and got 76.70.

Answer:

76.7

Step-by-step explanation:

65 + 18% tip= 65 times 0.18 = 11.7 65 +11.7 = 76.7

Hope this helped have a good day

9514 1404 393

Answer:

  C.  1

Step-by-step explanation:

The lateral area is given by the formula ...

  LA = 2πrh

Filling in the given values, you have ...

  8π = 2π·r·4

  1 = r . . . . . . . . divide by the coefficient of r

The radius of the cylinder is 1 foot.

In a sample size of 75 people in the Boomer Generation, proportionately, the estimated number of people who prefer to shop in-store is 63.

Proportion shows the relative number of objects or people in the whole.

Proportions are ratios equated to each other.

They are expressed as fractional values, in decimals, percentages, and fractions.

The percentage of Boomers who want to shop in-store = 84%

The sample size of the Boomer Generation = 75

The estimated number of Boomers in the sample size who want to shop in-store = 63 (75 x 84%)

Thus, 63 Boomers representing 84 percent of 75 want to shop in-store.

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Step-by-step explanation:

To find out how many pounds of birdseed Danielle can put in each bird cage, we need to divide the total amount of birdseed she has by the number of bird cages.

First, we need to convert the mixed number 7 1/2 to an improper fraction:

7 1/2 = 15/2

Now we can divide 15/2 by 6:

(15/2) ÷ 6 = (15/2) × (1/6) = 15/12 = 5/4

Therefore, Danielle can put 5/4 pounds of birdseed in each bird cage.

The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.

To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:

1 1 3 8 19 41

0 2 5 11 22

Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.

Let's check if the differences between consecutive terms are square numbers:

2 = 1²

5 = 2² + 1²

11 = 3² + 2²

22 = 4² + 3²

Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:

41 + 57 = 98

Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.

Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.

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Answer:

288

Step-by-step explanation:

multiply the length value by 36

Answer:

PICTURE NOT LOADING BUT GUESS OR LOOK IT UP OR SOMETHING SORRY SOS ANYONE SOS

Step-by-step explanation:

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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The probability that a student is a female given that they have an A is 0.2

The given parameters are:

Female = 11

A= 10

Female and A = 2

The probability is calculated using:

P(Female given A) = P(female and A)/P(A)

This gives

P(Female given A) = 2/10

Simplify

P(Female given A) = 0.2

Hence, the probability that a student is a female given that they have an A is 0.2

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Complete question is;

In 1990​, a magazine collected data and published an article evaluating dryers. It listed 45 ​models, giving the​ brand, cost​ (dollars), size​ (cu ft),​ type, estimated annual energy cost​ (dollars), an overall rating​ (good, excellent,​ etc.), and repair history for that brand​ (percentage requiring repairs over the past 5​ years).

The​ W's are​ Who, What,​ When, Where,​ Why, and hoW.

1) Identify the Who. Choose the correct answer below.

A. 45 models of dryers

B. Dryers

C. Brands of dryers

D. Size of dryers dryers

2) Identify the What. Choose the correct answer below.

A. ​Brand, type, overall rating

B. ​Brand, cost,​ size, type, estimated annual energy​ cost, overall​ rating, repair history

C. Cost, size, estimated annual energy​ cost, repair history

D. ​Brand, cost,​ size, type

3) Identify the When. Select the correct choice below​ and, if​ necessary, fill in any answer boxes within your choice.

A. The data were recorded in 1990.

B. The information is not provided.

4) Identify the Where. Choose the correct answer below.

A. The 45 models of dryers

B. The information is not provided.

C. The population of dryers

5) Identify the Why. Choose the correct answer below.

A. To provide information to the magazine's readers

B. To write an article about dryers

C. To compare the size of the dryers

D. To collect information about dryers

6) Identify the hoW. Choose the correct answer below.

A. The different dryers belonged to the​ magazine's employees.

B. The dryers were chosen at random.

C. The information is not provided.

7) Identify each variable as either categorical or quantitative.

Brand

▼

Categorical

Quantitative

Estimated annual energy cost

▼

Quantitative

Categorical

Cost

▼

Categorical

Quantitative

Overall rating

▼

Categorical

Quantitative

Size

▼

Quantitative

Categorical

Repair history

▼

Quantitative

Categorical

Type

▼

Categorical

Quantitative

8) For each quantitative​ variable, determine the units in which it was measured.

Cost

▼

Dollars

Not specified

Pounds

Estimated annual energy cost

▼

Dollars

Pounds

Not specified

Size

▼

Cubic inches

Cubic feet

Feet

Inches

Not specified

Repair history

▼

Years

Percentages

Not Specified

Answer:

All answered below.

Step-by-step explanation:

1) Option A: 45 models of dryers

2) Option B: ​Brand, cost,​ size, type, estimated annual energy​ cost, overall​ rating, repair history

3) Option A: The data were recorded in 1990.

4) Option B: The information is not provided.

5) Option A: To provide information to the​ magazine's readers

6) Option C. The information is not provided.

7) - Brand variable is Categorical

- Estimated annual energy cost variable is Quantitative

- Cost variable is Quantitative

- Overall rating variable is Categorical

- Size variable is Quantitative

- Repair history variable is Quantitative

- Type variable is Categorical

8) - cost​ is in dollars)

- estimated annual energy cost​ is in dollars

- size​ is in cu. ft

- repair history is in percentages

Answer:

Step-by-step explanation:

R=21

Answer:

(0, 1)

Step-by-step explanation:

you have to put the equation in the slope point form

y=mx+b and here b is the y-intercept (where it crosses the y axis)

y-4x=1 add 4x to both sides

y=4x+1 so the coordinats are (x=0, y=1)

Answer:

c

Step-by-step explanation:

it's a property of powers, when the base is the same (-5) , you need to

sum the powers when both terms are multiplyng

subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)

The answer of the given question based on the finding the domain of the equation the answer is  the domain of the function f(x) = x/(6x + 25) is all real numbers except x = -25/6. In interval notation, we can write the domain as:    (-∞, -25/6) U (-25/6, ∞)

In mathematics,  function is  rule or mapping that assigns unique output or value to each input or element from given set. A function can be thought of as  machine that takes an input and produces an output, where  output depends on  input and specific rule that defines function.

To find the domain of the function f(x) = x/(6x + 25), we need to identify any values of x that would make the denominator zero or undefined.

So, we need to solve the equation 6x + 25 = 0 for x:

6x + 25 = 0

6x = -25

x = -25/6

Since x = -25/6 would make the denominator zero, we need to exclude this value from the domain of the function.

Therefore, the domain of the function f(x) = x/(6x + 25) is all real numbers except x = -25/6. In interval notation, we can write the domain as:

(-∞, -25/6) U (-25/6, ∞).

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Answer:

If she plans to jog 4.25 miles each day then 4.25 * 7 would equal 29.75. This is the first answer.

In order to get the second answer, we need to subtract 30.5 (What she needs to jog) over 29.75 (how much she is planned to job over the next 7 days). So 30.5 - 29.75 = 0.75

Here is the math I did to get 0.75:

= 30.5 - 29.75

= 30.5 + -29.75

= 0.75 (Answer)

Hopefully this helped :D

Step-by-step explanation:

According to the statement, the Ship must move at an average pace of 150 meters per hour.

The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.

The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.

Here,

Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.

Total distance walked = 2 [200 + 100 + 150] = 900 meter

Total time = 2 [1 + 1 + 1] = 6 hour

Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),

As a result, the needed Carissa average speed is 150 meters per hr.

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Answer:

a. The positive difference between Nelson's height and the population mean is: \( \\ \lvert 68-70.7 \rvert = \lvert 70.7-68 \rvert\;in = 2.7\;in\).

b. The difference found in part (a) is 1.174 standard deviations from the mean (without taking into account if the height is above or below the mean).

c. Nelson's z-score: \( \\ z = -1.1739 \approx -1.174\) (Nelson's height is below the population's mean 1.174 standard deviations units).

d. Nelson's height is usual since \( \\ -2 < -1.174 < 2\).

Step-by-step explanation:

The key concept to answer this question is the z-score. A z-score "tells us" the distance from the population's mean of a raw score in standard deviation units. A positive value for a z-score indicates that the raw score is above the population mean, whereas a negative value tells us that the raw score is below the population mean. The formula to obtain this z-score is as follows:

\( \\ z = \frac{x - \mu}{\sigma}\) [1]

Where

\( \\ z\) is the z-score.

\( \\ \mu\) is the population mean.

\( \\ \sigma\) is the population standard deviation.

From the question, we have that:

With all this information, we are ready to answer the next questions:

a. What is the positive difference between Nelson​'s height and the​ mean?

The positive difference between Nelson's height and the population mean is (taking the absolute value for this difference):

\( \\ \lvert 68-70.7 \rvert = \lvert 70.7-68 \rvert\;in = 2.7\;in\).

That is, the positive difference is 2.7 in.

b. How many standard deviations is that​ [the difference found in part​ (a)]?

To find how many standard deviations is that, we need to divide that difference by the population standard deviation. That is:

\( \\ \frac{2.7\;in}{2.3\;in} \approx 1.1739 \approx 1.174\)

In words, the difference found in part (a) is 1.174 standard deviations from the mean. Notice that we are not taking into account here if the raw score, x, is below or above the mean.

c. Convert Nelson​'s height to a z score.

Using formula [1], we have

\( \\ z = \frac{x - \mu}{\sigma}\)

\( \\ z = \frac{68\;in - 70.7\;in}{2.3\;in}\)

\( \\ z = \frac{-2.7\;in}{2.3\;in}\)

\( \\ z = -1.1739 \approx -1.174\)

This z-score "tells us" that Nelson's height is 1.174 standard deviations below the population mean (notice the negative symbol in the above result), i.e., Nelson's height is below the mean for heights in the club presidents of the past century 1.174 standard deviations units.

d. If we consider​ "usual" heights to be those that convert to z scores between minus2 and​ 2, is Nelson​'s height usual or​ unusual?

Carefully looking at Nelson's height, we notice that it is between those z-scores, because:

\( \\ -2 < z_{Nelson} < 2\)

\( \\ -2 < -1.174 < 2\)

Then, Nelson's height is usual according to that statement.  

Answer:

Step-by-step explanation:

The formula for  calculating the amount after t years is expressed as;

A = P(1+r/n)*nt

P is the Principal (amount invested) = $300

r is the rate = 7% = 0.07

t is the time used to save = 11 years

n is time of compounding = 1/4 (quarterly)

Substitute;

A = 300 (1+0.07/(1/4))^(1/4)(11)

A = 300(1+4(0.07))^2.75

A = 300(1+0.28)^2.75

A = 300(1.28)^2.75

A = 300(1.9716)

A = 591.49

Hence the amount that will be in her account after 11 years is $591.49

Answer:

Multiply the diameter by pie which 3.14

Step-by-step explanation:

Step-by-step explanation:

substitute x= -1 into the equation to get the remainder

remainder= -2

the remainder is not a fraction

no, it is not a factor since its remainder is not zero

Answer:

I forget about these theorems and such, but pretty sure this is the Hypotenuse - Leg congruence theorem.

Step-by-step explanation:

As the name infers, you need the length hypotenuse and the length of one leg of each triangle. This is because you can use Pythagorean to find the last side, turning it into SSS congruence theorem. You also need them both to be right triangles for pythag to work.

Answer:what 2 triangles

Step-by-step explanation:Happy new year btw

The correct answer is the Mean

Explanation:

Mean and median are two measurements used in statistics and related areas. The median refers to the value of the middle; for example, if the values are 1, 2, 2, 5, 8, the median is 2, which is at the center of the data listed. On the other hand, the mean is the average, this is obtained by adding all the values; for example, 1 + 2 + 2 + 5 + 8 = 18, and then dividing this number by the total of values 18 ÷ 6 = 3.

From these, the mean is the one that will be affected if extreme values are added as each value increases or decreases the mean. For example, if the value 30 is added to the end 1 + 2 + 2 + 5 + 8 + 30 = 48, then 48 ÷ 7 = 6.8 the mean goes from 3 to 6.8, which shows it is greatly affected. This does not occur with the mean 1, 2, 2, 5, 8, 30 because in this case, the mean would be 2 + 5 = 7 and 7÷ 2 = 3.5 which is only slightly different from the first mean and in most cases the mean would even be the same.

Answer and Step-by-step explanation:

The answer is 54.

We see that each time, the number is being multiplied by 1.5.

54 times 1.5 = 81 * 1.5 = 108

54 times 2 = 108

54 is the starting number, because when you multiply 54 by 1, you get 54 for y.

#teamtrees #PAW (Plant And Water)

Answer: y = 54x

The easiest way to do this is by looking at the column where x = 1. In that column, y = 54, so we know that x times 54 would be equal to y.

If you don't have a column where x = 1, you can divide the y value by the x. Here are two examples:

27 ÷ 0.5 = 54

81 ÷ 1.5 = 54

Answer:

30

Step-by-step explanation:

3 x 2 x 5 equals 30

Answer:

3715219

Step-by-step explanation:

1917291 + 1816191 = 3733482

3733482 - 18263 = 3715219

Using the concept of proportions and ratios on the similar triangles, the value of x is 48 units

Similar triangles are triangles that have the same shape but may differ in size. They have corresponding angles that are equal and corresponding sides that are proportional. In other words, the ratios of the corresponding sides of similar triangles are equal.

The concept of similar triangles is based on the fundamental property that corresponding angles in similar shapes are equal, and the corresponding sides are proportional.

To determine the value of x, we can apply the concept of proportions and ratio on the similar triangle;

x / 36 = 64 / x

Cross multiplying both sides

x * x = 36 * 64

x² = 2304

x  = √2304

x = 48 units

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