FERRIS WHEEL The Ferris wheel at an amusement park has a radius of 10.2 meters. A rider, who is sitting level with the center of the Ferris wheel, is 13.1 meters above the ground. At what height above the ground is the rider when the wheel rotates another 140°? Round to the nearest tenth if necessary.

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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The correct option b. $3,338; is the amount spent by Stephen on purchasing the shares.

For the data given in question-

On every tenth share, Stephen's broker received a commission of $12.50.

= (328 / 10) x $12.50

= 32.8 x $12.50

= $410

Add all four values

= $538.9 + $1444.3 + $944.3 + $410

= $3,338

Thus, the amount spent by Stephen on purchasing the shares is  $3,338.

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Answer:

Square root of 56 so in simplest radical form 4 root 4

Step-by-step explanation:

Answer: y = -8

Step-by-step explanation: that is the definition of inequality difference in size, degree, circumstances, etc.; lack of equality.

" inequality"

Answer:

-0.28

Step-by-step explanation:

Answer:

The answer is 10%.

Step-by-step explanation:

Solution:

To get the percentage decrease of the price of the shirt, you have to subtract 46.58 - 41.92 = 4.66 .

Then the divide 4.66 / 46.58 = 0.10004294 .

Then round the decimal and you will get 0.10 .

Then move 2 steps from the decimal then you will get the percentage 10.

So the answer  is 10%.

It is crucial for drivers to maintain a safe distance from other vehicles and adjust their speed accordingly to ensure sufficient stopping distance.

The stopping distance of a truck depends on various factors, including its speed, road conditions, and braking capabilities. However, I can provide an estimate based on a common rule of thumb.

At a speed of 55 mph (miles per hour), the average stopping distance for a truck is approximately 400 feet. This estimate takes into account the time required for the driver to react and apply the brakes, as well as the distance covered during the braking process.

It's important to note that this value is an approximation and can vary depending on the specific circumstances. Factors such as the weight of the truck, road conditions (such as wet or slippery surfaces), and the condition of the brakes can all affect the stopping distance.

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Complete the solution of the equation. find the value of y when x = -14.

To find the value of y we need to plug and substitute the equation if x = -14.

Answer:

1

Step-by-step explanation:

anything that has a power of ⁰ (zero) will equal to 1
such as 3⁰ which equals 1

Answer:

1, because anything to the power of 0 is 1.

Step-by-step explanation:

Hope it helps! =D

Based on the given dataset and information that the last digit of the CUNY ID is 5, the following steps are taken to analyze the data. The OLS estimates of coefficients B and β are calculated, and the predicted values of Y for each observation are determined. Residuals are calculated, along with the explained sum of squares (ESS), total sum of squares (TSS), and residual sum of squares (RSS). The coefficient of determination (R²) is calculated to assess the goodness of fit. Finally, the predicted value of Y is determined when X is equal to the last digit of the CUNY ID + 1.

a) To regress Y on X, we use ordinary least squares (OLS) estimation. The OLS estimates of coefficients B and β represent the intercept and slope, respectively, of the regression line. The coefficients are determined by minimizing the sum of squared residuals.

b) The predicted value of Y for each observation is obtained by plugging the corresponding X values into the regression equation. In this case, since the last digit of the CUNY ID is 5, the predicted value of Y would be calculated for X = 5.

c) Residuals are the differences between the observed Y values and the predicted Y values obtained from the regression equation. To calculate the residual for each observation, we subtract the predicted Y value from the corresponding observed Y value.

d) The explained sum of squares (ESS) measures the variability in Y explained by the regression model, which is calculated as the sum of squared differences between the predicted Y values and the mean of Y. The total sum of squares (TSS) represents the total variability in Y, calculated as the sum of squared differences between the observed Y values and the mean of Y. The residual sum of squares (RSS) captures the unexplained variability in Y, calculated as the sum of squared residuals.

e) The coefficient of determination, denoted as R², is a measure of the proportion of variability in Y that can be explained by the regression model. It is calculated as the ratio of the explained sum of squares (ESS) to the total sum of squares (TSS).

f) To predict the value of Y when X equals the last digit of the CUNY ID + 1, we can substitute this value into the regression equation and calculate the corresponding predicted Y value.

g) The coefficient B represents the intercept of the regression line, indicating the expected value of Y when X is equal to zero. The coefficient β represents the slope of the regression line, indicating the change in Y associated with a one-unit increase in X. The interpretation of β depends on the context of the data and the units in which X and Y are measured.

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Answer:

so sorry I don't know how to o

Answer:

Convert each of the following into scientific notation:

a. 727 -----> 7.27 x 10^2

b. 172000 -----> 1.72 x 10^5

c. 0.000984 -----> 9.84 x 10^-4

d. 200.0 -----> 2 x 10^2 ? How does the extra decimal place affect the answer - is it more certain?

If you're told that a value is 200.0, then that is more precise than saying 200. What if the true value is a little bit more than 200? If I just say 200, then that could mean 200.1 or 200.2 or 200.3 or 200.36 or 200.25 or 200.14 ... it could mean a lot of things. By saying 200.0, I narrow down the error. Now the value is known with more precision -- it could be 200.01 or 200.02 or 200.03 ...

200.01 shows more precision than 200.1

2.000 x 10^2 shows more precision than 2.00 x 10^2

YOU WROTE 2 x 10^2 Note: 2 x 10^2 is not scientific notation

Since you show NO decimal places at all, the resulting precision is so low that the true value could be 221 or 238 or 209 or 241 or ...

e 0.014 -----> 1.4 x 10^-2

f. 2560000000000000000000000000000000 (use 4 sig. figs) -----> 2.560 x 10^33 Is there a reason for using 4 significant figures, or is that arbitrary?

Same situation as above because 2.560 is more precise than 2.56

By seeing the zero in 2.560 x 10^33, I know that the true value has a zero for its fourth digit.

If you write 2.56 x 10^33 instead, then I can't be sure what the fourth digit is.

2564000000000000000000000000000000, for example.

Convert each into decimal form:

a. 1.56 x 10^4 ----->15600

b. 2.6 x 10^-2 -----> .036 This is correct to me only if you intended to type 0.026

c. 736.9 x 10^5 -----> 73690000 Note: 736.9 x 10^5 is not scientific notation, and neither are the next two exercises.

d. 0.0059 x 10^5 -----> 590

e. 0.00059 x 10^-1 -----> .000059

Calculate the following:

a. 2.34 x 10^65 + 9.2 x 10^66 ------> I don't know what to do here. Should I change 2.34 x 10^65 to .234 x 10^66 and add them to get 9.4 x 10^66?

PERFECTION!

b. 313.0 - 1.2 x 10^3 -----> -.877 x 10^3 ? Same question as in a.

Firstly, -0.877 x 10^3 is not scientific notation.

Secondly, we can't write -8.77 x 10^2 either.

We are subtracting something close to 1200 from something close to 313.0

1.2 x 10^3 could be anything from 1200 through 1249, for example.

313.0 could be anything from 313.0 through 313.04, for example.

So, the difference could be anything from about -936 to about -877. We just don't know. Therefore, with respect to precision, we have to settle on -900.

How would you round your answer and express it in scientific notation to indicate the correct number of significant digits? Try again.

Calculate the following. Give the answer in correct scientific notation with the correct number of significant figures:

a. 8.95 x 10^76/1.25 x 10^56 -----> 7.16 x 10^20

b. (4.5 x 10^29)(2.45 x 10^100) -----> I'm not sure here. Do I multiply the individual components of the terms of the whole terms?

Do you remember the Commutative Property of Multiplication?

We are allowed to multiply a string of factors in ANY order we wish.

(A * B) * (C * D) = (A) * (B) * (C) * (D) = (A) * (C) * (B) * (D), if we like ...

Try again, and keep the multiplication rule for significant digits in mind when rounding your result and writing it in scientific notation.

The albedo (a)in this case is approximately 0.4231.

To compute the albedo (a), we need to understand the terms given.

Albedo is the measure of reflectivity of a surface, expressed as the ratio of the reflected solar radiation (st) to the incoming solar radiation (51).

Here, 51 = 650 W/m² represents the total solar radiation, and st = 275 W/m² represents the reflected solar radiation.

Additionally, L1 = 94 W/m² and L1 = 395 W/m² seem to be irrelevant to the calculation of albedo, as they don't represent incoming or reflected solar radiation.

Therefore, we can disregard these terms for this calculation.

Now, we can calculate the albedo (a) using the formula:

a = (reflected solar radiation) / (incoming solar radiation) a = (st) / (51)

By substituting the given values:

a = (275 W/m²) / (650 W/m²) a ≈ 0.4231

Remember, albedo values range from 0 to 1, where 0 indicates no reflectivity and 1 indicates total reflectivity.

In this case, just provide the numerical value as the answer: 0.4231

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Answer:

$216.00

Step-by-step explanation:

Final price: $216.00

Saved amount: $54.00

Answer:

x=(t+a)/4

Step-by-step explanation:

To make a variable the subject of an equation, you have to isolate it on one side of the equation.

Start with 4x-t=a

Add T to both sides to get:

4x=t+a

Divide both sides by four to get:

x=(t+a)/4

Answer:60 degrees

Step-by-step explanation:BAC =90 Degrees

BAD= 30 degrees

Since BAD and DAC are complementary angles, they add up to 90 degrees

So, 90 degrees-30 degrees= DAC which is =60 degrees

HOPE IT WAS CLEAR

Angle DAC is determined to be 60 degrees as it is complementary to angle BAD, which measures 30 degrees.

According to the given information, angle BAD measures 30 degrees. It is stated that angle BAD and angle DAC are complementary angles, meaning they add up to 90 degrees.

To find the measure of angle DAC, we subtract 30 degrees from 90 degrees:
90 degrees - 30 degrees = 60 degrees.

Therefore, the angle DAC measures 60 degrees.

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9514 1404 393

Answer:

  150

Step-by-step explanation:

The increase is by the factor 5/3, so the increased number is ...

  90×(5/3) = 150

90 increased in the ratio 5 : 3 is 150.

Answer:

Share of Paul = 2/8*78.40=19.6

Share of Colin = 5/8*78.40=49

And

Share of Brian =1/8*78.40=9.8

Step-by-step explanation:

They share the tips in the ratio 2:5:1.

It means , the total share is 8 ,

that 2 out of 8 is the share of Paul

5 out of 8 is the share of Colin

And 1 out of 8 is the share of Brain

Now total tip = 78.40

Share of Paul = 2/8*78.40=19.6

Share of Colin = 5/8*78.40=49

And

Share of Brian =1/8*78.40=9.8

The solution is:  the number of total combinations is 24+30=54.

We know that Peg has 4 long-sleeve shirts, 5 short-sleeve shirts, and 6 pairs of pants. We assume that she is going to wear a shirt and a pair of pants.

First, we calculate the number of combinations for a pants and long-sleeve shirts. She have 6 pairs of pants and 4 long-sleeve shirts.  

We get: 6 · 4 = 24

Now, we calculate the number of combinations for a pants and  short-sleeve shirts. She have 6 pairs of pants and 5 short-sleeve shirts.  

We get: 6 · 5 = 30

So the number of total combinations is 24+30=54.

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complete question:

Peg has 4 long-sleeve shirts, 5 short-sleeve shirts, and 6 pairs of pants. (a) How many different ways can Peg dress (assuming she is going to wear a shirt and a pair of pants)

Answer:

6.16 miles

Step-by-step explanation:

When solving word problems like these, I like to start by drawing a picture.

So, Glera starts at her home and moves north by 5.8 miles. Then, she walks west by 2.1 miles to the library. The problem wants you to find the distance from her home to the library.

I've attached a drawing I made to help me visualize the problem. The distance from her home to the library is the hypotenuse of the triangle. To solve for it, you would use the equation \(a^{2}\) + \(b^{2}\) = \(c^{2}\).

a and b are the sides of the triangle, and c is the hypotenuse.

\(5.8^{2}\)  + \(2.1^{2}\) = \(c^{2}\)

33.64 + 4.41 = \(c^{2}\)

38.05 = \(c^{2}\)

To find c, you would take the square root of 38.05, which is about 6.16 if you use a calculator.

So, the distance from her home to the library is 6.16 miles!

Answer:

as mentioned in the question

C as the answer.

Step-by-step explanation:

He is incorrect because the product of an even number and an odd number is even. The product of even numbers isn't always going to even, but the product of an even number and an odd number will be. Even times odd always equals even examples: 2 x 3 = 6 8 x 7 = 56 17 x 40 = 680

Answer:

He is incorrect because the product of an even number and an odd number is even.

Step-by-step explanation: I did the quiz just now

The coordinates of the resulting triangle are L'(4, 1), M'(0, 1), and N'(4, 3)

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

Triangle LMN has vertices at L(−1, 4), M(−1, 0), and N(−3, 4

This means that

The rotation rule of 90° clockwise around the origin is

(x,y) becomes (y,-x)

So, we have

Image = (y, -x)

Substitute the known values in the above equation, so, we have the following representation

L'(4, 1), M'(0, 1), and N'(4, 3)

Hence, the coordinates of the resulting points, are L'(4, 1), M'(0, 1), and N'(4, 3)

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We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

Where (from tables):

Finally, the interval at 98% confidence level is:

The range of this function is {4, 1, 7, 15}

The relation in the function can be represented as

x = {-1, 4, 8, 18}

y = {4, 1, 7, 15}

Remove the x values

So, we have

y = {4, 1, 7, 15}

The y values are the range of the function

So, we have

Range = {4, 1, 7, 15}

Hence, the range of this function is {4, 1, 7, 15}

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The measure of angle x is 140°

For given question,

We are given that a pair of parallel lines is cut by a transversal line .

Let a pair of parallel lines are PQ and RS and the transversal line AB cut the parallel lines PQ and RS.

We are given that an exterior angle on the left side of the transversal line is 40 degrees.

The interior angle on the right side of transversal line is x which is not vertical opposite to exterior angle = 40 degrees

We know that when two lines are parallel and cut by a transversal line then corresponding angles are congruent.

So, angle MNR = 40°

Also, ∠MNR + ∠MNS = 180°           ...............(linear pair of angles)

⇒ 40° + x = 180°

⇒ x = 140°

Therefore, the measure of angle x is 140°

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Answer: 165 square cm

Step-by-step explanation: