The following data are the amounts of total fat (in grams) in all sweet treats available at your local donut shop

24 16 23 22 17 15 24 24 24 16

Are these population or sample data? _____Population

What is the range for this data set? ______9
What is the variance for this data set? Round your answer to three decimal places, if necessary. ______15.455

What is the standard deviation for this data set7 Round your answer to three decimal places, if necessary. _____3.931

Answer:

175 minutes

Step-by-step explanation:

30km in 35 minutes

×5 ×5

=150 km =175 mins

The time taken to travel 150 kilometers is 175 minutes.

It is required to find the time taken.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

You can travel  30km in 35 minutes.

According to given question we have,

30km = 35 minutes.

1 km= 35/30 minutes.

150 km=35*150/30 minutes

150 km  = 175 minutes

Therefore, the time taken to travel 150 kilometers is 175 minutes.

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Answer:

2/9

Step-by-step explanation:

First off, a positive + and a negative - equals to a negative

So it will be 5/9-1/3.

We have to have a common denominator.

The common denominator is 9.

1x1=3

3x3=9

5/9-3/9=2/9

Answer:

I don't know if I'm correct but I got 0.27

Answer:

Here, I graphed this especially for you.

Check attachment.

Answer:

  D (0,4)​

Step-by-step explanation:

You want to know an ordered pair that could be added to the given relation such that it remains a function.

A function cannot have any two ordered pairs that have the same x-value. The given relation has x-values {1, 2, 3, 4}, so none of these can be repeated if the relation is to remain a function.

The only choice with a different x-value is ...

  D (0, 4)

__

Additional comment

The set of x-values is the "domain" of the function. It cannot have any repeats. The set of y-values is the "range" of the function. Those values can be repeated.

A function that is "one-to-one" cannot have any repeated range values, either.

<95141404393>

There is a modest rise in arrival rates as compared to the prior arrival because the value is bigger than 0.05. It is a minuscule rise.

Given that,

The Message is arrive at an electronic mall server at the average

rate is 4 messages for every 5 minutes. Then the average

number of message is said to be a and mean is 4 to 5 interval.

Therefore ,we can use poission's approximation  to binomial  distribution in this case,

λ=4/5 min

( a ) Then , The Number of messages arrived in 1 hour

4x 12 = 48 . , So 48 messages per hour.

Now , our New arrival rate of messages , λ =48

By using possion's distribution ,

θ = time/rate

= 60/48= 1.25

NOW

probability density function of X is given as

f (x ) = θ e^-θx

for X>0

Given , the probability of new message arrival during given frame

equal is 0.05

p (X > x ) = 0.05

Now , of θ ∫e^-θx dx  = 0. 05 .

then, e^-θx =0.05

Apply logarithm on both sides , then

In( e^-θx) = In 0.05

By solving,

1- 25

X = 2. 39658

(b) Now , probability of arrival of 50 messages in 60 minutes

p (X>2.39658 ) = 0.05

Now arrival gap is θ = 60/50 = 1.2

P(x> 2.39658 ) =e^-θx

=e^- 1- 2 * 2.39658 = 0.0564

NOW ,

p(x>2- 39658) = 0.0564.

It is greater than 0.05 , so it is called there is slight increase in arrival rates as compared to the previous arrival. It is very small increase .

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Answer:

20      6      12      38

5      20      7       32

25     26     19      70

Answer:

Step-by-step explanation:

We are given with a triangle whose Height is 2 cm and base is 9 cm.

We have to calculate the Area of triangle.

As we know that area of triangle is calculated by,

Area = ½ × base × height

Putting the required values we get,

Area = 1/2 × 2 × 9 (cancel 2 with 2)

Area = 9 cm².

Hence, The area of the triangle is 9 cm².

Answer:

it is not a function

Step-by-step explanation:

because the element 2 has not ot unique image

Hence, the best descriptors for each scatterplot are identified in the answer.

Scatterplots: Identifying the best descriptors for each scatterplot Here are the scatterplots (a) and (b). a) Scatterplot (a) From the above scatterplot, the best descriptors are: Weak Relationship (There is no strong correlation between the two variables)Linear Relationship (The data points follow a linear pattern)Approximate Relationship (The data points appear to follow an approximate trend)No Relationship (There is no correlation between the two variables) b) Scatterplot (b) From the above scatterplot, the best descriptors are :No Relationship (There is no correlation between the two variables)Moderate Relationship (There is a moderate correlation between the two variables)Deterministic Relationship (The relationship between the variables is deterministic and direct)Strong Relationship (There is a strong correlation between the two variables)

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Answer:

d ≈ 14.8

Step-by-step explanation:

Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in your coordinates into the formula:

\(d=\sqrt{(3-(-4))^2+(-7-6)^2}\)

\(d=\sqrt{(3+4)^2+(-13)^2}\)

\(d=\sqrt{(7)^2+169}\)

\(d=\sqrt{49+169}\)

\(d=\sqrt{218}\)

\(d = 14.7648\)

d ≈ 14.8

Answer:

i have done this mano time ago, but problaply the answer is x=3

The matrix is diagonalizable for all values of k.

To determine the values of k for which the matrix is not diagonalizable, we need to find the eigenvalues and eigenvectors of the matrix.

First, let's find the eigenvalues by solving for the characteristic equation:

| 1-k    -1 |
| -1    1-k |

det(A - λI) = (1-k-λ)(1-k-λ) - (-1)(-1) = λ^2 - 2kλ + (k^2-1)

Setting the determinant equal to zero and solving for λ, we get:

λ = k ± √(k^2-4)

Now, we need to find the eigenvectors corresponding to each eigenvalue.

For λ = k + √(k^2-4), we solve the system of equations:

(1-k-λ)x - y = 0
-x + (1-k-λ)y = 0

Plugging in λ and simplifying, we get:

-x - y = 0

This gives us the eigenvector [1, -1] for λ = k + √(k^2-4).

Similarly, for λ = k - √(k^2-4), we solve the system of equations:

(1-k-λ)x - y = 0
-x + (1-k-λ)y = 0

Plugging in λ and simplifying, we get:

x + y = 0

This gives us the eigenvector [1, 1] for λ = k - √(k^2-4).

Now, the matrix is diagonalizable if and only if it has two linearly independent eigenvectors (i.e. the eigenvectors corresponding to distinct eigenvalues).

Therefore, the matrix is not diagonalizable if and only if the two eigenvalues are equal (i.e. k ± √(k^2-4) = k).

Simplifying this equation, we get:

√(k^2-4) = 0

This equation has no real solutions, so the matrix is diagonalizable for all values of k.

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a. The composite scores for each location are as follows: Location A: 84.34, Location B: 81.05, Location C: 82.63 (b)  Based on the composite scores, Location A should be chosen for the clothing store.

To determine the composite score for each location, we need to calculate the weighted sum of the factor ratings.

a. The composite score for each location is calculated as follows:

Location A:

Composite score = (Convenience of access * Weight) + (Parking facility * Weight) + (Frontage * Weight) + (Shopper traffic * Weight) + (Operating cost * Weight) + (Neighbourhood * Weight)

Composite score = (0.10 * 92) + (0.15 * 91) + (0.19 * 96) + (0.31 * 79) + (0.10 * 70) + (0.15 * 69)

Composite score = 84.34

Location B:

Composite score = (0.10 * 70) + (0.15 * 73) + (0.19 * 89) + (0.31 * 95) + (0.10 * 95) + (0.15 * 81)

Composite score = 81.05

Location C:

Composite score = (0.10 * 72) + (0.15 * 75) + (0.19 * 74) + (0.31 * 80) + (0.10 * 92) + (0.15 * 96)

Composite score = 82.63

b. Based on the composite scores, we can see that Location A has the highest score of 84.34, followed by Location C with a score of 82.63, and Location B with a score of 81.05. Therefore, Location A should be chosen for the clothing store.

After calculating the composite scores for each location based on the factor ratings and weights, it is determined that Location A has the highest composite score and should be chosen for the clothing store.

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Answer:

87 degrees

Step-by-step explanation:

because 87 and 2 are diagonal and they are going to be the same. :)

Answer:

87%

Step-by-step explanation:

The correct answer is option b. 15.77%. The annual discount rate, also known as the discount rate or the rate of return, can be calculated using the present value formula.

Given that a cash flow of £52 million in 5 years' time is currently valued at £25 million, we can use this information to solve for the discount rate.

The present value formula is given by PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.

In this case, we have PV = £25 million, CF = £52 million, and n = 5. Substituting these values into the formula, we can solve for r:

£25 million = £52 million / (1 + r)^5.

Dividing both sides by £52 million and taking the fifth root, we have:

(1 + r)^5 = 25/52.

Taking the fifth root of both sides, we get:

1 + r = (25/52)^(1/5).

Subtracting 1 from both sides, we obtain:

r = (25/52)^(1/5) - 1.

Calculating this value, we find that r is approximately 0.1577, or 15.77%. Therefore, the annual discount rate is approximately 15.77%, corresponding to option b.

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Borrowing at low interest rates is a significant factor in the rising standard of living in the United States.

The correct answer is c) low interest rates; rising.

Borrowing at low interest rates is a major reason for the rising standard of living in the United States. When interest rates are low, it becomes more affordable for individuals, businesses, and the government to borrow money for various purposes such as purchasing homes, starting businesses, or investing in infrastructure.

Low interest rates mean that the cost of borrowing is lower, allowing people to access credit more easily and at a lower cost. This enables individuals and businesses to make large purchases or investments that they might not be able to afford otherwise. For example, low mortgage interest rates make homeownership more affordable, and low business loan rates facilitate entrepreneurship and business expansion.

Moreover, low interest rates can stimulate economic activity and boost consumer spending, which further contributes to a rising standard of living. When people can borrow money at lower costs, they have more disposable income, which can be spent on goods and services, driving economic growth and job creation.

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Answer:

Step-by-step explanation:

SHORT ANSWER: perimeter = 4 * (6x+8) = 24x + 32

So, depending on which expression represents the length of the side of the square, the perimeter would be either 40x or 24x + 32.

LONG ANSWER WITH STEP-BY STEP:

If one side of the square has a length of 10x, then all sides have a length of 10x. Alternatively, if one side has a length of 6x+8, then all sides have a length of 6x+8. Therefore, we can write:

perimeter = 4 * side length

Substituting in the given expressions for the side length, we get:

perimeter = 4 * (10x) = 40x

or

perimeter = 4 * (6x+8) = 24x + 32

So, depending on which expression represents the length of the side of the square, the perimeter would be either 40x or 24x + 32.

In a rectangle where the length is 3 times the width, and the perimeter is 3 times the width. The perimeter is 96 cm, the length is 36 cm and the width is 12 cm.

Given,

Length of a rectangle is 3 times the width.

Perimeter is 3 times the width.

Perimeter is 96 cm.

Let w be the width of the rectangle.

The length of the rectangle is 3 times the width, so the length l is 3w.

The perimeter of the rectangle is equal to the sum of all its sides, so:

2w + 2(3w) = 96

2w + 6w = 96

8w = 96

w = 12

Therefore, the length is 36 cm and the width is 12 cm.

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Answer:

The experimental probability of the coin landing heads up is 110/200 = 11/20.

The probability is 1/2.

The correct statement in Mai's experiment is, The experimental probability of the coin landing heads up is (11/20) and the theoretical probability of the coin landing heads up is (1/2)

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Experimental probability is repeating an experiment and observing the outcomes and theoretical probability is the expected value.

In the given context the expected value is 200×(1/2) = 100, As P(H) = 1/2 and P(T) = 1/2.

Upon experiment, the coin landed 110 times heads up.

Therefore, The theoretical likelihood of the coin landing heads up is (1/2), while the experimental probability is (11/20).

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We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.

The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.

`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`

As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `

lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`

Since the limit of the ratio test is less than one, the given series converges.

The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).

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The value of the sample statistic is used to estimate the value of the population parameter.

The sample statistic is the value that is calculated from the sample data, which is used to make inferences about the population parameter. Sample statistics are used to estimate population parameters. A sample statistic is an estimate of a population parameter that is obtained from a sample, whereas a population statistic is a value that is computed from a population.

Therefore, the correct answer is a. sample statistic.

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Answer:

b

Step-by-step explanation:

im 100% shure

120Rs is spend in 6 days on these things and distributive property is used

Properties of whole numbers are defined to operate basic arithmetic operations such as addition and multiplication, in an easy way. Applying these properties helps us to solve such math problems quickly, without even using calculators. These properties are almost similar to the properties of integers, although the definition for whole numbers and integers are different.

Total cost of a single day= 15 + 5 = 20Rs

∴ In 6 days total cost = 20 x 6 = 120Rs

Thus 120Rs is spend in 6 days on these things and distributive property is used.

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If C = 15 , then the values of A and B will be A = 3, B = 5  and equation in standard form is 3x + 5y = 15  .

In the question ,

the equation is given

the equation is Ax + By = C

also given that C = 15 ,

so , Ax + By = 15

From the graph we see that when x = 5 , y = 0

substituting , in Ax + By = 15  , we get

A(5) + B(0) = 15

5A = 15

A = 3 .

also when x = 0 , y = 3

Substituting in Ax + By = 15  , we get

A(0) + B(3) = 15

3B = 15

B = 5

so , the equation in standard form is 3x + 5y = 15   .

Therefore , If C = 15 , then the values of A and B will be A = 3, B = 5     .

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A;

5 + 2.5xx = AA

B;

20 + 0.5xx = BB

A: 5 + 2.5 • 11

B: 20 + 0.5 • 11

A = 32.5

B = 25.5

The value of the given sine function is √3/2, so the correct option is 2nd.

Given that an function Sin (-5π/3) we need to evaluate the expression,

To evaluate the trigonometric function sine of the angle (-5π/3), we can use the periodicity of the sine function.

Since the sine function has a period of 2, the sine of any given angle is equal to the sine of that angle plus or minus any multiple of 2.

To find an equal angle inside the main range (between -π and π), we can add 2 to the angle (-5/3).

Once adding 2:

(-5π/3) + 2π = (-5π/3) + (6π/3) = π/3

Now we can evaluate the sine of π/3, which is a commonly known angle. The sine of π/3 is √3/2.

Therefore, sin(-5π/3) = sin(π/3) = √3/2.

Hence the correct option is √3/2

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The estimated probability is 0.0294

To estimate the probability of getting between 45 and 50 correct answers on the multiple-choice test, we can use the binomial probability formula and a calculator.

The binomial probability formula is given by P(X = k) = (nCk) * p^k * q^(n-k), where n is the number of trials, k is the number of successes, p is the probability of success on a single trial.

q is the probability of failure (1 - p), and nCk represents the number of combinations.

In this case, n = 160 (number of questions), p = 0.25 (probability of guessing a correct answer), and we want to find P(45 ≤ X ≤ 50), which means the probability of getting between 45 and 50 correct answers.

Using a calculator such as TI-83, TI-83 Plus, or TI-84, we can calculate the individual probabilities for each value of X (45, 46, 47, 48, 49, 50) using the binomial probability formula.

Then, we sum up these probabilities to find the total probability of getting between 45 and 50 correct answers.

By performing the calculations, we find that the estimated probability is 0.0294, rounded to four decimal places.

This means that with random guessing, there is approximately a 2.94% chance of getting between 45 and 50 correct answers on the multiple-choice test.

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The ratio of the plant cell's length to its width is 2:1 (5.8 x 10^-6 m to 2.9 x 10^-6 m).

To calculate the ratio of the plant cell's length to its width, we first need to find the length and width of the cell. The given data states that the length of the cell is 5.8 x 10^-6 m and the width is 2.9 x 10^-6 m. To calculate the ratio, we divide the length by the width. In this example, we divide 5.8 x 10^-6 m by 2.9 x 10^-6 m, which equals 2. Thus, the ratio of the plant cell's length to its width is 2:1.

length / width = 5.8 x 10^-6 m / 2.9 x 10^-6 m = 2

length : width = 5.8 x 10^-6 m : 2.9 x 10^-6 m = 2:1

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