Jamie McAllister is a wonderful rebounder for her high school basketball team. Of


her final 10 games, here are her rebound totals for each game:


8 12 8 11 15 6 9 8 10 13


1.


2.


From the collected data, what


is the mean number of


rebounds Jamie had per


game?


From the collected data, what


is the median number of


rebounds Jamie had for her


final 10 games?

Answer:

I think its c

Step-by-step explanation:

Answer:

B. x \(\geq\) -2 < and x \(\leq\) 6

Step-by-step explanation:

|2x - 4| \(\leq\) 8 we need to get rid of brackets and to do that:

-8 \(\leq\) 2x - 4 \(\leq\) 8 now add 4 to all sides of equation

-4  \(\leq\) 2x  \(\leq\) 12 divide by 2

-2 \(\leq\) x \(\leq\) 6

The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.

We can use the formula for simple interest to solve the problem:

Simple interest = (Principal * Rate * Time) / 100

where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.

We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:

$800 = (20,000 * Rate * 4) / 100

Multiplying both sides by 100 and dividing by 20,000 * 4, we get:

Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%

Therefore, the interest rate for the savings account is 5%.

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The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer:

Population size:5

Lowest value: 1

Highest value: 6

Range: 5

Thanks!

The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

You failed to make the minimum payment by the due date. This is an action that can result in a message that "you've triggered the Penalty APR so that it has now climbed to 28.99%."

A charge APR is a charge that can be applied if you don't pay your bills on time. It may be set up so that future transactions may be subject to a penalty APR that is higher than the card's standard rate.

If the minimum payment was not made by the due date, Penalty APR would be applied.

But if the card also has a penalty APR and you trigger it, you will likely lose that promotional offer. Federal consumer protections that limit penalty APRs don't apply to small-business credit cards. That means issuers can be more punitive, such as applying penalty APRs sooner than 60 days after not making payments.

Therefore,

The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

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The answer to questions are as follows- a)720 different strings that can be formed using the letters a, b, c, d, e, and f with each letter used once. b)240 different strings that can be formed using the letters a, b, c, d, e, and f with each letter used once, containing the block cd. c)120 different strings that can be formed using the letters a, b, c, d, e, and f with each letter used once, that start with the letter f.d)4 different strings that can be formed using the letters a, b, c, d, e, and f with each letter used once, that contain the blocks abc and ef.

a) To find the number of strings that can be formed using the letters a, b, c, d, e, f with each letter used formerly, we need to find the number of permutations of the letters. This can be set up using the formula for permutations of n objects taken r at a time, which is n!/( n- r)!.

In this case, we've 6 objects and we want to take all 6, so we have

6!/( 6- 6)! = 6! = 720

thus, there are 720 different strings that can be formed using the letters a, b, c, d, e, and f with each letter used formerly.

b) To find the number of strings that can be formed using the letters a, b, c, d, e, and f with each letter used formerly, that contain the block cd, we can treat the block cd as a single object and find the number of permutations of the performing 5 objects( alphabet, e, f, and the block cd). We also multiply this by the number of ways that cd can be arranged within the string( which is 2 since cd can be arranged as cd or dc).

So we have

5! * 2 = 240

thus, there are 240 different strings that can be formed using the letters a, b, c, d, e, and f with each letter used formerly, containing the block cd.

c) To find the number of strings that can be formed using the letters a, b, c, d, e, and f with each letter used formerly, that starts with the letter f, we can fix f as the first letter and also find the number of permutations of the remaining 5 objects. This can be set up using the formula for permutations of n objects taken r at a time, which is n!/( n- r)!.

In this case, we've 5 objects and we want to take all 5, so we have

5!/( 5- 5)! = 5! = 120

thus, there are 120 different strings that can be formed using the letters a, b, c, d, e, and f with each letter used formerly, that start with the letter f.

d) To find the number of strings that can be formed using the letters a, b, c, d, e, and f with each letter used formerly, that contain the blocks alphabet and ef, we can fix alphabet and ef as blocks and find the number of permutations of the remaining 2 objects( d and f). We also multiply this by the number of ways that the blocks can be arranged within the string( which is 2 since alphabet can be before ef or ef can be before the alphabet).

So we have

2 * 2! = 4

thus, there are 4 different strings that can be formed using the letters a, b, c, d, e, and f with each letter used formerly, that contain the blocks alphabet and ef.

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The correct questions are given below-

a)how many strings can be formed using the letters a, b, c, d, e, f, with each letter used once?

b) how many strings can be formed using the letters a, b, c, d, e, f, with each letter used once, that contain the block cd?

c)how many strings can be formed using the letters a, b, c, d, e, f, with each letter used once, that start with the letter f?

d)how many strings can be formed using the letters a, b, c, d, e, f, with each letter used once, that contain the blocks abc and ef?

Answer:

y = -1/2(x + 6)^2 - 6

Step-by-step explanation:

0_0

The total surface area of the triangular prism is  225  in²

Remember that the area of a rectangle of length L and width W is:

A = L*W

And the area of a triangle of base B and height H is:

A = B*H/2

The areas of the 2 triangular faces is:

A = (4.5 in)*6in/2 = 13.5 in²

And the areas of the 3 rectangular faces are:

Then the total surface area is:

2*(13.5 in²) + 66 in² + 49.5 in² + 82.5 in² = 225  in²

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Answer:

2

Step-by-step explanation:

its 2 have a good day (:

Cost can refer to the amount of money or resources used in the production of a good or service, or the amount of money or resources used in the completion of a project. Generally, cost is the total amount of money or resources required to do something. Cost can be calculated by adding up the costs of each resource used or by multiplying the quantity of each resource used by the cost of that resource. Cost can also be determined by using a cost estimating technique, such as a cost-benefit analysis.

Nicole's equation: 7T + 7C = 63

Alberto's equation: 14T + C = 61

Cost of tulip bulb packages = (63 - 7C) / 7

To calculate the cost of tulip bulb packages, take the total amount of Nicole's sales ($63) and subtract the cost of the crocus bulb packages (7C). Then we divide the result by the number of tulip bulb packages (7).

Cost of crocus bulb packages = (61 - 14T) / 1

To calculate the cost of crocus bulb packages, take the total amount of Alberto's sales ($61) and subtract the cost of the tulip bulb packages (14T). Then we divide the result by the number of crocus bulb packages (1).

Cost of tulip bulb packages = $8.71

Cost of crocus bulb packages = $4.43

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To solve a stoichiometry problem, the first thing you must do is identify the given and desired quantities. This involves understanding the balanced chemical equation and determining the substances involved.

Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. The given quantities are the information provided in the problem, such as the mass, volume, or moles of a particular substance. The desired quantity is what you are trying to find. By identifying these quantities, you can determine the appropriate conversion factors and set up the necessary calculations to solve the problem.

For example, if the problem gives you the mass of a reactant and asks for the volume of a product, you would start by identifying the given mass and the desired volume. From the balanced chemical equation, you can determine the molar ratio between the reactant and product. This ratio allows you to convert the given mass to moles, and then use the molar ratio to convert moles of the reactant to moles of the product. Finally, you can convert the moles of the product to the desired volume using the appropriate conversion factor, such as the molar volume of a gas at a given temperature and pressure.

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Answer: Area, A, is x times y.

Step-by-step explanation:

Answer:

P = 5r + 9

Step-by-step explanation:

Answer: A

Step-by-step explanation: because I got the correct answer

Answer:

(2, -7/2)

Step-by-step explanation:

According to the midpoint theorem;

M(X, Y) = [(ax1+bx2/a+b), ay1+by2/a+b ]

(x1, y1) and (x2, y2) are the coordinates

a:b is the given ratio

Given the following

Coordinate of the line segment (-8, 5) and (4, -3)

Ratio: 5:3

Get the X coordinate;

X = ax1 + bx2 / a+b

X = 5(-8) + 3(4)/5+3

X = -40+12/8

X = -28/8

X = -7/2

Get the Y coordinate

Y = ay1 + by2 / a+b

Y = 5(5) + 3(-3)/5+3

Y = 25-9/8

Y = 16/8

Y = 2

Hence the required coordinate is (2, -7/2)

Answer:

Domain: -5 ≤ x < 1

Range: -4 ≤ y < 5

Step-by-step explanation:

The graph is a line segment with a solid dot for an endpoint and an open dot for the other endpoint. The solid dot is included in the domain and range, and the open dot is not.

The domain is the set of x-coordinates.

The range is the set of y-coordinates.

Domain: -5 ≤ x < 1

Range: -4 ≤ y < 5

The simple linear regression line is found to be y = a + bx.

In a simple linear regression model, y = ß0 + ß1x + ε, the parameter ß1 represents the slope of the true regression line.

ß1 is used in simple linear regression to represent the change in y for each unit increase in x.

When x changes by 1 unit, ß1 represents how much y will change.

The slope is positive when y and x are both increasing and negative when y decreases as x increases.

This is why the slope is negative.

When the slope is zero, there is no correlation between y and x.

This would be demonstrated by a scatter plot in which the points are dispersed randomly around the horizontal axis without following any discernible trend.

When the slope is positive, the data points are rising from left to right. This may be seen as a line sloping upward. If the slope is negative, the points are descending from left to right and form a line sloping downward.

Therefore, we may correctly infer that ß1 represents the slope of the true regression line.

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The linear, constant coefficient, homogeneous differential equation whose one solution is given by v(x) = 5e^(3x) - 42e^(-x) is represented by the equation (C) y" - 3y = 0.The correct choice is (C) y" - 3y = 0.

To find a linear, constant coefficient, homogeneous differential equation with a given solution, we need to use the properties of the exponential function and its derivatives. In this case, the given solution v(x) = 5e^(3x) - 42e^(-x) consists of exponential terms.

By taking the derivatives of v(x) and plugging them into the differential equation, we can determine the correct equation. The first derivative of v(x) is obtained as y' = 15e^(3x) + 42e^(-x), and the second derivative is y" = 45e^(3x) - 42e^(-x).

Substituting these derivatives into the equation y" - 3y = 0, we have (45e^(3x) - 42e^(-x)) - 3(5e^(3x) - 42e^(-x)) = 0. Simplifying this equation yields 45e^(3x) - 15e^(3x) + 126e^(-x) - 126e^(-x) = 0, which further simplifies to 30e^(3x) - 252e^(-x) = 0.

We can observe that this equation satisfies the given solution v(x) = 5e^(3x) - 42e^(-x), indicating that (C) y" - 3y = 0 is the correct linear, constant coefficient, homogeneous differential equation.

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Answer:

C) g(x) = f(x) + 4

Step-by-step explanation:

A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A

-anumber would slide the function DOWN instead.

As for the other answers:

A) the 3multiplied in front is a vertical STRETCH.

D) the 1/2 multiplied in front is a vertical shrink (smash)

B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.

To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

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Answer:

J. 1

Step-by-step explanation:

Plug the x values into the equation:

f(-1)=3-(-1)^2

f(2)=3-(2)^2

Solve each one, then add.

3-(-1)^2=

=3-1=2

3-(2)^2=

=3-4=-1

Combine the answers together.

2-1=1

The answer is J. 1.

Hope this helps!

Please mark as brainliest if correct!

Answer:

1 kg = 2.205 lb

34 X 2.205 = 74.97lbs

74.97 - 50 = 24.97

25 x 5 = $125

Answer:

a) 3(17 )+ 4(9) = 81

b) 13.5m/s^2

Step-by-step explanation:

trust

Answer:

x = 40

MN = 140

NO = 70

Step-by-step explanation:

MN + NO = MO

4x-20 + 2x -10 = 210

6x-30 = 210

6x = 240

x = 240/6

x = 40

4x-20

4 * 40 -20 =

160-20 =

140

MN = 140

2x-10 =

2 * 40 -10=

80 - 10=

70

NO = 70

Hope this helps you!!! :)

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It would help me a lot!

Thank you!

The length of AM is 0 units, which means that the inscribed circle is degenerate and has a radius of 0. This implies that the inscribed circle is actually a point, which is the center of the circular sector OAB.

In a circular sector OAB, points A and B lie on a circle centered at point O with radius 9. A circle is inscribed in this circular sector.

To find the radius of the inscribed circle, we can use the property that the radius of the inscribed circle is perpendicular to the chord it touches.

Step 1: Draw radii from the center O to the points A and B.
Step 2: The radius of the inscribed circle is perpendicular to the chord AB, so we can draw a line from the center O to the midpoint M of chord AB.
Step 3: Triangle OAM is a right triangle, and the hypotenuse is the radius of the circle centered at O, which is 9 units.
Step 4: Since M is the midpoint of chord AB, we can use the Pythagorean theorem to find the length of AM.
\((AM)^2 + (OM)^2 = (OA)^2\\   (AM)^2 + 9^2 = 9^2\\   (AM)^2 = 0\)
  AM = 0

The length of AM is 0 units, which means that the inscribed circle is degenerate and has a radius of 0. This implies that the inscribed circle is actually a point, which is the center of the circular sector OAB.

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Step-by-step explanation:

its83

(a+b)^2=a^2+2ab+b^2

x^2+(-9)2x-2=0

b^2=81

83+(-2)=81