Decide whether the line with the given slope rises from left to right, falls left to right, is horizontal, or is vertical. m=0

Answer:

4/5

Step-by-step explanation:

Multiply 4/1 and 5/1

Answer:

4/5

Step-by-step explanation:

The equation that illustrates the amount to be paid for the number of kilometers will be 7.25 + 7x.

Fixed rate for taxi = 7.25

Additional charges per kilometers = 7

Number of kilometers = x

Therefore, the equation that illustrates the amount to be paid for the number of kilometers will be:

= 7.25 + (7 × x)

= 7.25 + 7x

Therefore, the equation is 7.25 + 7x.

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Answer:

b and d

Step-by-step explanation:

Answer:

462

Step-by-step explanation:

C(11, 5)
= 11!/(11-5! * 5!)

= 462

Answer:

Step-by-step explanation:

The mean is 8 and standard deviation of the number of free throws she makes in each set of 10 is 1.265.

In the given question,

Courtney makes 80%(0.80) of the free throws she attempts.

She often stays after practice to shoot sets of 10 free throws.

So n = 10.

Probability of success p = 0.80

q = 1 - 0.80 = 0.20

We have to find the mean and standard deviation of the number of free throws she makes in each set of 10.

Mean of number of free throws = np

Mean of number of free throws = 10 * 0.80

Mean of number of free throws = 8

Standard Deviation of number of free throws = √npq

Standard Deviation of number of free throws = √10*0.80*0.20

Standard Deviation of number of free throws = √1.6

Standard Deviation of number of free throws = 1.265

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The right question is:

Courtney makes 80% of the free throws she attempts. She often stays after practice to shoot sets of 10 free throws. Assume that the results of free throws are independent from each other. What are the mean and standard deviation of the number of free throws she makes in each set of 10?

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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Answer:

Step-by-step explanation:

√169 = 13

square root and two digits after dot means the result need to has one digit after dot (number of digits after dot divided by 2 because of square root)

so √1.69 = 1.3

If the independent variables explain less than 50% of the variation in the dependent variable, it could be due to a variety of factors related to the quality of the model, the presence of other unmeasured factors, or the inherent variability of the dependent variable.

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.

If the independent variables explained less than 50% of the variation in the dependent variable, it means that there is a large amount of unexplained variability in the data.

In this case, the following could be true:

The model is not a good fit for the data: If the model is not a good fit for the data, it means that the relationship between the independent and dependent variables is not accurately captured by the model.

This can lead to a large amount of unexplained variability in the data, resulting in a low proportion of explained variability (less than 50%).

There may be other factors affecting the dependent variable: If the independent variables do not explain a large proportion of the variability in the dependent variable, it could be due to the presence of other factors that also affect the dependent variable.

These factors may not have been included in the model, resulting in a large amount of unexplained variability.

The dependent variable may be inherently variable: In some cases, the dependent variable may be inherently variable, making it difficult to explain using a small set of independent variables.

This can result in a low proportion of explained variability, even if the model is a good fit for the data and all relevant independent variables have been included.

Hence, if the independent variables explain less than 50% of the variation in the dependent variable, it could be due to a variety of factors related to the quality of the model, the presence of other unmeasured factors, or the inherent variability of the dependent variable.

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The amount that Wyatt’s effective interest rate is greater than his nominal interest rate is given by: Option D: 0.71% points

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

\(CI = P(1 +\dfrac{R}{100})^T - P\)

The final amount becomes:

\(A = CI + P\\A = P(1 +\dfrac{R}{100})^T\)

It is provided that:

Nominal interest rate = 13.62% compounding quarterly.

usually, interest rates are given in annual terms.

Converting 13.62 in quarterly terms, we get:

R = \(13.62/4 = 3.405\%\) (as there are 4 quarters annually)

This rate is quarterly and is compounding quarterly.

Since these two things matched (the rate is in quarter version and so as the compounding of interest), we can take:

Unit of time = quarter of an year

Getting effective interest means interest that the principal grows by in one year.

One year = 4 quarters = 4 times unit of time.

Thus, T = 4

Thus, compound interest would be:

\(CI = P(1 +\dfrac{R}{100})^T - P = P( (1+3.405/100)^4 - 1) \approx P(0.1433)\)

Taking its percent compared to principal amount P:

\(\dfrac{P(0.1433)}{P} \times 100 = 14.33\%\)

Thus, the effective interest rate is 14.33%

The difference between effective and nominal interest rate is:

14.33 - 13.62 = 0.71%

Thus, the amount that Wyatt’s effective interest rate is greater than his nominal interest rate is given by: Option D: 0.71% points

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Answer:

option D

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

y = 2 − x

Answer:

um ok so we can carry the o to a 3, and then we can change it to a 8

so the answer is  (3,8)

Step-by-step explanation:

Answer:

x+66+55=180(being sum of the angle of triangle=180degree

x=180-121

therefore, x=59

plz give me thanks

Answer:

All triangles have angles that add up 180 degrees.

So Angle x = 180 - 55 -66

which equals 59 degrees.

Step-by-step explanation:

Answer: 130, 43, 55, 27

Step-by-step explanation:

9) 130 / it's supplementary to 180

10) 43 / its vertical to 43 meaning its 43

11) 55 / will add up to 360 meaning b = 55

12) 27 / its a 90-degree angle with 63 degrees needing 27

Answer:

10 + 3^2 - 6

= 10 + 9 - 6 (since 3^2 = 9)

= 13

Therefore, 10+3^2-6 equals 13.

Answer:

13

Step-by-step explanation:

\(=10+3^{2} -6\\=10+9-6\\=10+3\\=13\)

The percentage of ball that hit into the outfield would be represented by the equation = 15/8 = X/100. That is A.

The total number of balls that that where present at the battling practice by Alexis = 15.

The number of balls that hit into the outfield = 8

The number of balls that hit outside the outfield = 15-8= 7

The percentage (x) of the balls that are outside the outfield;

X = 8/15 × 100/1

x ×15 = 8 × 100

15/8 = X/100.

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The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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Answer:

15

Step-by-step explanation:

5/9^-2 = 81/25

3/5^-3 = 125/27

3/5^0 = 1

81/25 x 512/27 x 1 = 15

Answer:

15

Step-by-step explanation:

  \(\boxed{\left(\dfrac{a}{b}\right)^{-m}=\left(\dfrac{b}{a}\right)^m}\\\\\boxed{\dfrac{a^m}{a^n}=a^{m-n}}\\\\\boxed{(a^{m})^n=a^{m*n}}\)

\(\sf \left(\dfrac{5}{9}\right)^{-2}*\left(\dfrac{3}{5}\right)^{-3}*\left(\dfrac{3}{5}\right)^0=\left(\dfrac{5}{9}\right)^{-2}*\left(\dfrac{3}{5}\right)^{-3}*1\\\\ \text{Any variable or number raised to 0 =1} \\\)

                                         \(= \left(\dfrac{9}{5}\right)^2*\left(\dfrac{5}{3}\right)^3}\\\\= \dfrac{(3^2)^2}{5^2}*\dfrac{5^3}{3^3}\\\\=\dfrac{3^{2*2}}{5^2}}*\dfrac{5^3}{3^3}\\\\=\dfrac{3^{4}}{5^{2}}*\dfrac{5^3}{3^3}\\\\=3^{4-3}*5^{3-2}\\\\=3^1*5^{1}\\\\=15\)                      

Students in one group is 45

Students in another group is 13

teacher separated her class of fifty-eight students into two groups

Number of groups =2

one group has 6 more than thrice as many students as the other group

Let one group has x students

another group has y students

x+ y = 58  . . . . . 1

x= 6+3y  

Substitute x= 6+3y   in  . . . 1

6+3y +y = 58

4y=52

y=13

x=6+3y=6+3(13)

 = 6+39

 = 45

Students in one group is 45

Students in another group is 13

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Answer:

Small

Step-by-step explanation:

4 kilograms is about 8 pounds

A 4-kilogram pumpkin is less than 10 pounds, Hence it falls into the category of small pumpkins.

A system of measurements is called the metric system. It is employed in calculations and research across the globe. Here are some illustrations of how the metric system is used to measure various objects.

The unit used to measure lengths and distances is the meter.

We know 1 kilogram is equal to approximately 2.2 pounds.

Given, Small pumpkins weigh less than 10 pounds and big pumpkins weigh 10 pounds or more.

Now, I bought a pumpkin of 4 kg which is equivalent to 4×2.2 pounds.

= 8.8 pounds and it falls in the category of small pumpkins.

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Answer:

2. is the second one, 3. is the 3rd one (i think)

Step-by-step explanation:

Answer:

  220.5 square feet

Step-by-step explanation:

You want to know the area of an irregular shape.

The figure can be decomposed into a triangle and a trapezoid by extending the vertical line through the figure.

The triangle has side lengths 15 ft and 15 ft, so its area is ...

  A = 1/2bh

  A = 1/2(15 f)(15 ft) = 112.5 ft²

The trapezoid has bases of 25 ft and 29 ft, and a height of 4 ft, so its area is ...

  A = 1/2(b1 +b2)h

  A = 1/2(25 ft +29 ft)(4 ft) = 108 ft²

The area of the grass will be the total of these areas:

  grass area = triangle area + trapezoid area

  grass area = 112.5 ft² +108 ft² = 220.5 ft²

The area of the grass is 220.5 square feet.

The best way to compare exam score to the number of hours of sleep is by

Histogram, you can easily determine the score using the bars on the histogram at every hours of sleep.

Scatter

The given expression is :

The multilpy are same So, we take the 10^(-6) Common

Answer:

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  a = 6

Step-by-step explanation:

A triangle inscribed in a semicircle is always a right triangle, so ...

  15a° = 90°

  a = 90/15

  a = 6

According to the question 1.) False - 3 × 5 matrix columns can be linearly independent. 2.) True , 3.) True , 4.) True , 5.) True , 6.) True - 3 × 2 matrix transformation not one-to-one.

1.) True. If the set of columns of a 3 × 5 matrix is linearly dependent, it means that there exists a nontrivial linear combination of the columns that equals the zero vector.

2.) False. The effect of a linear transformation on the columns of the n × n identity matrix only determines the image of the standard basis vectors. It does not completely determine the entire transformation.

3.) False. If each row of matrix A has a pivot, it means that the rows of A are linearly independent, not linearly dependent.

4.) True. If A has a pivot in each row, it means that the rows of A are linearly independent, and the linear transformation T : Rn → Rm represented by A is one-to-one.

5.) True. Similar to statement 1, if the set of columns of a 5 × 3 matrix is linearly dependent, it means that there exists a nontrivial linear combination of the columns that equals the zero vector.

6.) True. If A is a 3 × 2 matrix, it means that the transformation x → Ax maps from R2 to R3. Since the dimensions of the domain and codomain are different, the transformation cannot be one-to-one.

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