Pablo randomly picks three marbles from a bag of seven marbles (four red ones, two green ones, and one yellow one).

How many outcomes are there in the sample space?
How many outcomes are there in the event that all of the marbles he picks are red?

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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The soccer ball is above 15 feet between 0.25 seconds and 1 second.

To determine when the soccer ball is above 15 feet, we need to find the values of t that satisfy the inequality h(t) > 15.

Given the quadratic function h(t) = -16t² + 20t + 11, we can rewrite the inequality as follows:

-16t² + 20t + 11 > 15

Subtracting 15 from both sides:

-16t² + 20t - 4 > 0

Simplifying further:

-16t² + 20t - 4 = -4(4t² - 5t + 1) = -4(t - 1)(4t - 1) > 0

Now, we can solve for t by finding the values that make the inequality true. We have two factors: (t - 1) and (4t - 1).

Setting each factor greater than zero and solving for t:

t - 1 > 0 => t > 1

4t - 1 > 0 => 4t > 1 => t > 1/4

So, we have t > 1 and t > 1/4. To satisfy both conditions, t must be greater than the maximum of 1 and 1/4, which is 1.

Therefore, the soccer ball is above 15 feet for t > 1 second.

The correct answer is:

C. The soccer ball is above 15 feet between 0.25 seconds and 1 second.

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Answer: right

Step-by-step explanation:

answer would be A because it u factor it out you will get your initial equation

A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.

In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.

A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.

Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.

Option A: 200 respondents

This represents only 1% of the population.

While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.

Option B: 20 respondents

This represents only 0.1% of the population.

With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.

Option C: 2000 respondents

This represents 10% of the population.

While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.

The study may provide reasonably reliable results, but there is room for potential sampling error.

Option D: 2 respondents

This represents an extremely small sample size, accounting for only 0.01% of the population.

With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.

Based on the options provided, option C with 2000 respondents would be the most reliable study.

Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.

However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.

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The slope of the tangent line that passes through the point (-1, 2) is 4, and the equation of the line is: y - 2 = 4(x + 1) or y = 4x + 6

To find the slope of the tangent line to a circle, we first need to find the equation of the circle.

Given the center and radius, the equation of a circle can be written as:

(x + 5)^2 + (y - 3)^2 = 17

Next, we find the equation of the line that passes through the point (-1, 2) and is tangent to the circle.

We can use the slope-point form of the equation of a line:

y - 2 = m(x + 1)

where m is the slope of the line.

To find the value of m, we need to find the slope of the line that is tangent to the circle at the point (-1, 2).

The slope of a tangent line to a circle at a point is equal to the derivative of the equation of the circle at that point.

Taking the partial derivatives of x and y in the equation of the circle, we get:

2(x + 5)dx + 2(y - 3)dy = 0

Rearranging and solving for the slope:

dy/dx = -(x + 5)/(y - 3)

Evaluating the slope at the point (-1, 2), we get:

dy/dx = -(−1 + 5)/(2 − 3) = 4

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Answer:20%

Step-by-step explanation:

5(100)/25=20

Hence, the values of cοsine and cotangent functions for angle theta are -√(2)/2 and -1, respectively.

Angles between 0 and 90 degrees are cοnsidered acute. Obtuse angles fall within this range and vary frοm 90° to 180°.  A right angle is knοwn as an angle with a 90-degree angle (= 90°).

The pοint (-√(2)/2, √(2)/2) lies on the unit circle in the second quadrant, which means that the cοrresponding angle theta has a reference angle of pi/4.

The cοsine of theta is the x-coordinate of the point on the unit circle corresponding to theta. Since the x-coοrdinate of the given point is -√(2)/2, we have:

cοs(θ) = -√(2)/2

The cοtangent of theta is the ratio of the cosine of theta to the sine of theta. We can find the sine of theta by using the Pythagοrean theorem, since the pοint (-√(2)/2, √(2)/2) lies on the unit circle:

sin(θ) = √(1 - cos²(θ)) = √(1 - (-√(2)/2)²) = √(2)/2

Therefοre, we have:

cot(θ) = cos(θ) / sin(θ) = (-√(2)/2) / (√(2)/2) = -1

Hence, the values of cοsine and cotangent functions for angle theta are -√(2)/2 and -1, respectively.

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Answer:

V=1872

Step-by-step explanation:

Area of base

A= l×w

A= (6+6)×(6+6)

A=144

Volume

V= area of base×height

V= 144×13

V=1872

Answer:

The correct answer is 468pi cubic units

For my plato fam

Step-by-step explanation:

Answer:

54 one-third acre lots

Step-by-step explanation:

24 - 6 = 18

18 ÷ 1/3  =  18 × 3 = 54

Answer: 54

Step-by-step explanation:The remaining portion to be divided into 1/3 acre lots is the difference between the number of acres owned by the farmer and the number of arces used for the entrance. This difference is

= 24 arces - 6 arces

= 18 acres

These acres is to be divided into 1/3 arce then the number of 1/3 arce loits that will be available

= 18 ÷ 1/3

= 18 × 3/1

= 54

Answer:

Step-by-step explanation:

y=7 so (2x y) =14  (3x + 2y =

The solution of the linear system of the equation is (0, −3).

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equations are given below.

2x − y = 3

x + 2y = −6

Then the solution to the equation will be given by the elimination method. Then we have the equation.

4x − 2y = 6 ...1

 x + 2y = −6 ...2

Add equations 1 and 2, then we have

5x = 0

 x = 0

Then the value of y will be

2y = −6

 y = −3

Then the solution of the linear system of the equation is (0, −3).

And the graph is given below.

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Answer:

the freezing point of water is 0⁰c...

0⁰c is as positive value but this is also considered as also in negative so it is not fixed but after a experiment it shows that 0⁰c ⁷

Answer:

Mean Absolute Deviation: 4

Step-by-step explanation:

A mean absolute deviation is measured how much the values in the data set are likely to differ from the mean.

Answer:

x=1=2y

Step-by-step explanation:

The solution to the above algebra question is  (b) x-3, x+5.

To find the remaining factors of the polynomial x^3+4x^2-11x-30=0, we can use polynomial long division or synthetic division. However, since we are given that x+2 is a factor of the polynomial, we can use synthetic division to simplify the process.

We set up the synthetic division table as follows, using -2 as the divisor:

-2 | 1 4 -11 -30

|____-2__-4___30

| 1 2 -15 0

The bottom row of the table represents the coefficients of the quadratic polynomial obtained by dividing x^3+4x^2-11x-30 by x+2. The last term of the quadratic is 0, which indicates that x+2 is a factor of the polynomial. The remaining quadratic polynomial can be factored as:

x^2 + 2x - 15 = (x - 3)(x + 5)

Therefore, the remaining factors of the polynomial x^3+4x^2-11x-30=0 are x+2, x-3, and x+5.

The correct answer is (b) x-3, x+5.

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Answer:

Step-by-step explanation:

372 Millimeters

Answer:

2,300 millimeters

Step-by-step explanation:

when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.

288/32=144/16=72/8=9

Hope it helps you

Answer:

9

Step-by-step explanation:

288/320 = 9/1

9/1 = 9

Answer:

a) drinking caffeinated coffee

b) hyperactivity

c) experimental study

d) Non-Probability Sampling Method

Explanation:

a) An independent variable refers to the object(s) or variable that is been measured which is not affected or changed by other variables. Rather, the independent variable affects or changes other variables. That is why drinking caffeinated coffee falls under the independent variable.

b) The dependent variable on other hand is a variable that can be affected or changed by the independent variable. That is why hyperactivity falls under the dependent variable.

c) Noteworthy is the fact that in an experimental study a researcher usually alters the level of the independent variable [the caffeinated coffee]. This is evident in this case because we are told, "One group received regular coffee and the other received decaffeinated coffee."

d) The kind of sampling method used is the Non-Probability Sampling Method because they [the students] which formed the population were not randomly selected, but "intentionally balanced" into groups by the student’s year, major, and gender.

Answer: 0.556

Step-by-step explanation:

Answer:

5/9 as a decimal is .5 repeating. I hope this helps.

The equation is written as

Aisha has 15 points

Let's use the given information to set up an equation to represent the relationship between the points each friend has.

Let x be the number of points Aisha has.

Then, according to the problem statement, we know that:

Carter has 7 1/2 more points than Aisha, so he has

x + 7 1/2 points.

Jamila has 4 - 1/2 more points than Carter, so she has

x + 7 1/2 + 4 - 1/2 points,

which simplifies to x + 11 points.

Jamila has 26 points, so we can set x + 11 equal to 26 and solve for x:

x + 11 = 26

x = 26 - 11

x = 15

Therefore, Aisha has 15 points.

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ANSWER:

STEP-BY-STEP EXPLANATION:

In the case that (-3, 13) is a point (x, y), the answer is the following:

The way to solve this problem is through trial and error.

In this case, we can propose the following quadratic equation:

We check the equation by replacing in the function:

Therefore, the point (-3, 13) is part of the solution of the proposed function

Or we can opt for the 3-point method:

For (0, 0) we have

0 = C

For (3, 13) we have

13 = 9a + 3b

For (-3, 13) we have

13 = 9a - 3b

adding them:

The correct answer is option 3: 228 in² of wrapping paper is needed for the box measuring 9 in. by 4 in. by 6 in.

To calculate the amount of wrapping paper needed for a rectangular box, we need to determine the surface area of the box.

A rectangular box has six faces: a top face, a bottom face, two side faces, and two end faces.

To find the surface area, we can add up the areas of all six faces.

The formula for the surface area of a rectangular box is:

Surface Area = 2(lw + lh + wh)

Given the dimensions of the box as 9 in. by 4 in. by 6 in., we can substitute these values into the formula:

Surface Area = 2(94 + 96 + 4 \(\times\) 6)

Surface Area = 2(36 + 54 + 24)

Surface Area = 2(114)

Surface Area = 228 in²  

Therefore, the correct answer is option 3: 228 in² of wrapping paper is needed for the box measuring 9 in. by 4 in. by 6 in.

This means that you would need a total of 228 square inches of wrapping paper to cover all the sides of the box without any overlaps.

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The radius of the given circle is 2 units.

Here, we are given an equation of a circle as follows-

\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)

The general form of the equation of a circles is -

\((x- h)^{2}+ (y-k)^{2} = r^{2}\)

where (h, k) are the coordinates of the center of the circle and r is the radius of the circle.

Let us convert the given equation into the general form by completing the squares as follows -

\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)

\(x^{2}+ (2*4)x+ y^{2} - (2*3)y + 21 = 0\)

\(x^{2}+ (2*4)x+ 16 -16+ y^{2} - (2*3)y + 9 - 9+ 21 = 0\)

\([x^{2}+ (2*4)x+ 16] -16+ [y^{2} - (2*3)y + 9] - 9+ 21 = 0\)

\((x+4)^{2} -16+ (y - 3)^{2} - 9+ 21 = 0\)

\((x+4)^{2} + (y - 3)^{2} = 16 + 9 - 21\)

\((x+4)^{2} + (y - 3)^{2} = 4\)

\((x+4)^{2} + (y - 3)^{2} = 2^{2}\)

Thus, we have obtained the equation of the circle in the general form. From this, we can observe that the center coordinates will be (-4, 3) and the radius of the circle will be 2 units.

Therefore, the radius of the given circle is 2 units.

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.1.1(2-√√-225) = 2.1.1(2-15) = 2.1.1(-13) = -27.31

To solve this problem, we first need to simplify the expression inside the parentheses. The square root of a negative number is an imaginary number, so we can write the expression as follows:

2.1.1(2-√-225) = 2.1.1(2-√(-1)(225))

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We can then simplify the expression as follows:

2.1.1(2-√(-1)(225)) = 2.1.1(2-i*15) = 2.1.1(2-15) = 2.1.1(-13) = -27.31

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The second problem is a bit more complicated. We need to use the fact that the square root of a negative number is an imaginary number. We can write the expression as follows:

3+√-18 = 3+√(-1)(18)

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We can then simplify the expression as follows:

3+√(-1)(18) = 3+i*3 = 3+3i

Answer:

15cm

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

B=√h²-p²

=√17²-8²

=√289-64

=√225

=15

ans:

Answer:

11 1/2 minutos

Step-by-step explanation:

80.5 / 7 = 11.5 > 11 1/2

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

$ 50,000

Step-by-step explanation:

Let her salary = x

\(8\dfrac{3}{4} *x=4375\\\\\dfrac{35}{400}*x=4375\\\\x=4375*\dfrac{400}{35}\\\\x = 125*400\)

Salary = $ 50,000