10. Spotify charges x dollars for individual songs and y dollars for entire albums. Person A pays $14.9 A to download 5 individual songs and 1 album. Person B pays $22.95 to download 3 individual songs and 2 albums. How much does Spotify charge to download a song? an entire album?

10. Spotify Charges X Dollars For Individual Songs And Y Dollars For Entire Albums. Person A Pays $14.9

Answers

Answer 1

Spotify charges $0.98 for individual song and $10 for entire album

According to the question,

Spotify charges "x" dollars for individual songs and "y" for entire album

Also, Person A pays $14.9 to download 5 individual songs and 1 album

Which can be written as

=> 5x + y = 14.9 --------------(1)

Person B pays $22.95 to download 3 individual songs and 2 albums

=> 3x + 2y = 22.95 ---------(2)

Solving these two linear equations by elimination method

Multiplying equation (1) by 2

=> 10x + 2y = 29.8

Now, subtracting these equation

10x + 2y - 3x - 2y = 29.8 - 22.95

=> 7x = 6.85

=> x = 0.98

Replacing value of x in equation (1),

=> 5(0.98) + y = 14.9

=> 4.9 + y = 14.9

=> y = 10

Hence , Spotify charges $0.98 for individual song and $10 for entire album

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Related Questions

What is the range of the set of ordered points defined below?
{(–1 , 3), (2 , 3), (4 , 5)}

Answers

Answer:

Rang is the output values or the y values.

3 and 5

Step-by-step explanation:

An ordered pair is in the form (x, y)  The x is the input or the domain and the y is the output or the range.

Kelly has the following income and expenses:
$200 per month paychecks
$50 cell phone
$40 gasoline
$40 Miscellaneous expenses
How much are Kelly's total planned expenses?

Answers

The correct answer is $130

The vertex is (-4,-2) and the parabola opens up. What is the domain and range

Answers

Answer:

   Domain: -∞ < x < ∞

   Range: y ≥ -2

Step-by-step explanation:

The domain of a parabola graph is all real numbers, this is written as;

      -∞ < x < ∞

The range of this parabola graph is all numbers greater than and equal to -2, since the parabola opens up and the vertex is at (-4, -2). This is written as;

      y ≥ -2

Which linear function has the greatest initial value? Which has the greatest rate of change? Use the drop-down menus to show your answer.

Answers

The linear function that has greatest initial value is function C

The linear function that has greatest rate of change is function B

Consider the function A

The y intercept = 0

Consider two points (2, 5) and (4, 10)

The slope of the line = (10-5) / 4-2

= 5 /2

The equation will be

y = 5/2x + 0

Consider the function B

y = 3x - 1

Which is in the form of slope intercept form

The slope of the line = 3

The y intercept = -1

Consider the function C

y intercept = 2

Consider the points (0, 2) and (3, 3)

The slope of the function = 3-2 / 3 -0

= 1/3

The equation is

y = 1/3x + 2

Therefore, function C has greatest initial value and function B has greatest rate of change

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PLEASE HELP WITH THE QUESTION IN THE PICTURE

Answers

Answer:

(9.22 x 10⁻⁵) + (1.078 x 10⁻⁵)

You can take 10⁻⁵ as common from both terms and add the remaining ones.

(9.22 + 1.078) x 10⁻⁵

10.298 x 10⁻⁵


Which expressions are equivalent to
5^2/5^8

Answers



ANSWER: A & C

EXPLANATION: look at the photo

• a & b both are equivalent to 5^-6

Solve for d.
-10 = -2 + ½ d

Answers

Answer:

d= -16.

Step-by-step explanation:

1. Write the expression.

[tex]-10=-2+\frac{1}{2}d[/tex]

2. Add "2" to both sides if the equation.

[tex]-10+2=-2+\frac{1}{2}d+2\neq \\\\ -8=\frac{1}{2}d[/tex]

3. Divide both sides by "1/2".

[tex]\frac{-8}{\frac{1}{2}} =\frac{\frac{1}{2}d}{\frac{1}{2}} \\ \\-8*2=d\\ \\-16=d\\ \\d=-16[/tex]

4. Verify.

[tex]-10=-2+\frac{1}{2}(-16)\\ \\-10=-2-8\\ \\-10=-10[/tex]

That's correct! The answer is d= -16.

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the following data represent the running times of films produced by two motion-picture companies. company time (minutes) i 103 94 110 87 98 ii 97 82 123 92 175 88 118 compute a 90% confidence interval for the difference between the average running times of films produced by the two companies. assume that the running-time differences are approximately normally distributed with unequal variances

Answers

The 90% confidence interval for the difference between the average running times of films produced by the two companies ≅ (- 35.5 , 10.8)

Given that:

Company (i) :      

[tex]n_{1}[/tex] = 5  ,  [tex]x_{1}[/tex]bar = 98.4

[tex]S_{1} ^{2}[/tex] = [tex]\frac{1 }{n_{1} - 1}[/tex] ∑ [tex](x_{i} - x_{1} bar)^{2}[/tex]

     = [tex]\frac{1}{5 - 1}[/tex]  [ [tex](103 - 98.4)^{2}[/tex] + [tex](94 -98.4)^{2}[/tex]+........+ [tex](98 - 98.4)^{2}[/tex] ]

     = [tex]\frac{1}{4}[/tex] [ [tex](4.6)^{2}[/tex] + [tex](-4.4)^{2}[/tex]+..........+[tex](0.4)^{2}[/tex] ]

     = [tex]\frac{1}{4}[/tex] [ 305.2]

     = 76.3

Company (ii) :

[tex]n_{2}[/tex] = 7 , [tex]x_{2}[/tex] bar = 110.7143

[tex]S_{2} ^{2}[/tex] = [tex]\frac{1 }{n_{2} - 1}[/tex] ∑ [tex](xi - x_{2} bar)^{2}[/tex]

     = [tex]\frac{1}{7-1}[/tex] [ [tex](97 - 110.7143)^{2}[/tex]+ [tex](82-110.7143)^{2}[/tex]+.........+[tex](118 - 110.7143)^{2}[/tex] ]

     = [tex]\frac{1}{6}[/tex] [ [tex](-13.7143)^{2}[/tex]+ [tex](-28.7143)^{2}[/tex]+.........+[tex](7.2857)^{2}[/tex] ]

     = [tex]\frac{1}{6}[/tex] [ 6125.4274]

     ≅ 1035.9045

For 90% confidence interval

difference between = 5+7-2 = 10, critical value is [tex]t_{c}[/tex] = 1.812.

90% confidence interval for the difference between the average running times is

[ ([tex]x_{1}[/tex] bar - [tex]x_{2}[/tex] bar) ± [tex]t_{c}[/tex] . [tex]\sqrt{\frac{S_{1}^2 }{n_{1} } } + \sqrt{\frac{S_{2}^2 }{n_{2} }}[/tex] ]

= [(98.4 - 110.7143) ± 1.812 [tex]\sqrt{\frac{76.3}{5} } + \sqrt{\frac{1035.90457}{7} }[/tex] ]

= [-12.3143 ± 23.1515]

= (- 35.4658 , 10.8372)

≅ (-35.5 , 10.8)

Therefore, 90% confidence interval for the difference between the average running times of films produced by the two companies is

≅ (- 35.5 , 10.8)

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Doug can paint a room in 5 hours. Dave can paint the same room in 7 hours. Doug and Dave paint the room together and take a one-hour break for lunch. Let $t$ be the total time, in hours, required for them to complete the job working together, including lunch. Which of the following equations is satisfied by t?

Answers

On solving the provided question, Since rate multiplied by time gives output, 1/5+1/7 (t-1)=1

What is equation?

A formula is a statement that the values ​​of two expressions are equal. The formula essentially says that two things are equal. An equals sign or '=' indicates that. 8+2=12-2 is an example equation. According to the above formula, the left side of the formula is equal to the right side. So the equation is the statement "this is equal to that".

Doug can paint 1/5 of a room per hour, Dave can paint 1/7 of a room per hour, and the time they spend working together is t-1.

Since rate multiplied by time gives output, 1/5+1/7 (t-1)=1

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morgan bought new living room furniture for $6,500 on an installment plan. he made a down payment $500, and he has to make monthly payments of $210.00 for the next three years. how much interest will he pay?

Answers

Interest morgan will pay is $1560.

What is compound interest?

Compound interest, also known as interest on principle and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given, Morgan used a payment plan to purchase brand-new living room furnishings for $6,500. He put down $500, and over the following three years, he must pay a monthly payment of $210.00.

Hence he has to total pay = 500 + 210*12*3

The total money morgan has to pay is $8060.

Therefore total interest morgan has to pay is 8060-6500 = $1560.

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a convex mirror, like the passenger-side rearview mirror on a car, has a focal length of -2.8 m. an object is 5.6 m from the mirror.

Answers

The image's distance from the mirror is -1.87, by using the mirror equation.

Note:-  Although the question is missing, I believe the issue is asking where the image is located.

To find the solution to the problem, the mirror equation can be used:

Mirror equation =  [tex]\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }[/tex]

Where,

f = mirror's focal length

[tex]d_{o}[/tex] = object's distance from the mirror

[tex]d_{i}[/tex] =  image's distance from the mirror

The focal length is assumed to be negative for a convex mirror in our problem.

f = -2.8 m

The object's distance (do) = 5.6m

By using the mirror equation, the image's distance from the mirror can be determined

[tex]\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }[/tex]

i.e, [tex]\frac{1}{d_{i} } = \frac{1}{f} -\frac{1}{d_{o} }[/tex]

= [tex]-\frac{1}{2.8} -\frac{1}{5.6}[/tex] =  [tex]-\frac{3}{5.6}[/tex]

= - 0.5357

[tex]d_{i} =[/tex] [tex]-\frac{5.6}{3}[/tex]

= -1.87 m

The virtual nature of the image is indicated by the negative sign (located behind the mirror)

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The coefficient of determination of a set of data points is 0.83 and the slope of the regression line is -1.38. Determine the linear correlation coefficient of the data.

Answers

The linear correlation coefficient of the data is calculated to be -0.911 as the slope of the regression line is -1.38

As the coefficient of determination that is (R^2) = 0.83 and the slope of the regression line = - 1.38, we can determine the linear correlation coefficient of the data as follows;

The Coefficient of determination (R^2) is the square of the linear correlation Coefficient (R) and is used to acquire the proportion of explained variance of the regression line.

Hence. To get the linear correlation Coefficient (R) from the Coefficient of determination (R^2); we take the square root of R^2 as follows;

R = √R^2

R = √0.83

R = 0.91104335791

R = 0.911

As the value of the slope is negative, therefore this represents a negative relationship between the variables, hence R will also be negative ;

Therefore, R = -0.911

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It would he quite risky for you to insure the life of a 21 -year-old friend under the terms of Exercise 14. There is a high probability that your friend would live and you would gain $\$ 1250 dollars in premiums. But if he were to die, you would lose almost \$ 100,000$. Explain carefully why selling insurance is not risky for an insurance company that insures many thousands of 21 -year-old men. (b) The risk of an investment is often measured by the standard deviation of the return on the investment. The more variable the return is, the riskier the investment. We can measure the great risk of insuring $\mathrm{u}$ single person's life in Exercise 14 by computing the standard deviation of the income $Y$ that the insurer will receive. Find or using the distribution and mean found in Exercise 14.

Answers

The standard deviation of Y can be determined which is 9708.

Given in the question that the high probability would gain  in premiums. If die, would lose almost . Selling insurance is not risky for an insurance company that insures many thousands of -year-old men.

According to the information, the gain around is 1250

Amount would lost in case of death is 100000.The expected value with its probability is:

E(X) = ∑x ×P(x)

=(-99750) × 0.00183 + ...+ (1250) × 0.99058

= 303.35

The standard deviation of the investment return is used to determine the risk of an investment. The riskier the investment is, the more varied the return is

The standard deviation of Y can be determined as

α = under root {∑x2 × P(x) - (∑x × P(x) }

[tex]\sqrt{(-99750 - 303.3525)sq. X 0.00183 + .... + (1250 - 303.3525)sq. X 0.99058 }[/tex]

= 9708

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the position of a particle moving along a coordinate line is s=√(3+6t), with s in meters and t in seconds. Find the particle's velocity at t=1 sec.

Answers

The particle's velocity at time t = 1 seconds is equal to 3 meters per seconds.

What is a position vs time graph?

In Mathematics, a position vs time graph can be defined as a type of graph that is used to graphically represent the distance traveled (covered) by an object from its starting position with respect to the time when it is started moving.

Generally speaking, the position of a physical object (body) in a position vs time graph is always plotted on the y-coordinate (y-axis) while time is always plotted on the x-coordinate (x-axis).

From the information provided about this particle on a position vs time graph, we have;

s =√(3 + 6t)

Where:

s in meters.t in seconds.

Substituting the given parameters into the formula, we have;

s =√(3 + 6(1))

s =√(3 + 6)

s =√9

Distance, s = 3 meters.

Now, we can determine the velocity as follows;

Velocity = distance/time

Velocity = 3/1

Velocity = 3 meters per seconds.

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let z be a standard normal variable. find p(-0.86 < z < 2.25). a) 0.1980 b) 0.7898 c) 0.7929 d) 0.7884 e) 0.7742 f) none of the above.

Answers

Using the Z- Distribution table, The answer is c) that is 0.7929.

What do you mean by probability distribution?

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

What is Standard Normal Distribution?

A normal distribution with a mean of zero and a standard deviation of one is known as the standard normal distribution. The standard normal distribution is centered at zero, and the standard deviation indicates how much a specific measurement deviates from the mean.

Following the Z-table,

P(-0.86<x<2.25) = 0.79288

The answer is c) 0.7929

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help me with this question please

Answers

Answer:

Step-by-step explanation:

You just have to recall those rules  in geometry.  :/

for 1  RU =  QT

the red single marks on the segment mean those are the same length

for 2 ∠T = ∠U

the red arc means they are the same angle

for 3  QT is parallel to RU

because  of both red marks,  same length, and same angles

for 4  RQT = SRU

because both of these angles come from the same line, and have the same length and angle below

for 5  triangle QRT = RSU

because of both red marks and starting from the same line.

Reason 1: Given

• We are provided this information through the figure. The red hash marks on both corresponding sides indicate they are congruent segments.

Reason 2: Given

• Angle T and U are marked with the same angle measure red symbols, indicating they are congruent, corresponding angles.

Reason 3: Given

• Segment QT is parallel to RU, which is given at the top of question.

Reason 4: Corresponding Angles Theorem

• Because segment QT is parallel to RU, segment SQ forms a transversal. When a pair of parallel lines is intersected by a transversal, angle relationships are formed for which properties exist. In this case, the corresponding angles are congruent. This will help us prove the two triangles congruent.

Reason 5: Angle-Side-Angle (ASA)

• Lastly, we have a pair of corresponding congruent angles, a pair of corresponding congruent sides, and another pair of corresponding congruent angles. This means we can apply the ASA postulate, which states that if a pair of corresponding angles, a pair of corresponding sides, and another pair of corresponding angles are congruent, then the two triangles are congruent.

I hope this helps!

URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!

Question 7

Answers

The cone will fit in 4 times and the volume of the cone is 535.89 in³

Volume of a Cone

A cone is a pyramid with a circular cross-section. A right cone is a cone with its vertex above the center of the base. It is also called right circular cone.

The formula of volume of a cone is given as;

V = 1/3πr²h

v = volume of the coner = radius of the coneh = height of the cone

However, we have to calculate the volume of the sphere which is given as

V = 4/3 πr³

The volume of the ball = 4/3 * 3.14 * 8³ = 2143.57in³

The volume of the cone = 1/3 * 3.14 * 8² * 8 = 535.89 in³

The number of times it will fit into will be 2143.57 / 535.89 = 4

It will fit in 4 times

b)

The volume of the cone is 535.89in³

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can someone help me figure out how to solve this problem

Answers

Answer:

To find the fourth term in the given sequence, we can use the formula for the nth term, which is a^n = 2 (a^n-1) + 4. We can then plug in the value of a^1, which is 3, and the value of n, which is 4, to find the fourth term:

a^4 = 2 (a^3) + 4

= 2 [2 (a^2) + 4] + 4

= 2 [2 [2 (a^1) + 4] + 4] + 4

= 2 [2 [2 (3) + 4] + 4] + 4

= 2 [2 [10] + 4] + 4

= 2 [24] + 4

= 52

Therefore, the fourth term in the sequence is 52.

Answer:

[tex]a_4 = 52\\[/tex]

Step-by-step explanation:

There is no way around this one. You just had to calculate each term until you got the fourth term.

[tex]a_2 = 2(a_1) + 4 = 2(3) + 4 = 10[/tex]

[tex]a_3 = 2(a_2) + 4 = 2(10) + 4 = 24[/tex]

[tex]a_4 = 2(a_3) + 4 = 2(24) + 4 = 52[/tex]

A line passes through point (5, –3) and is perpendicular to the equation y = x. What's the equation of the line?

Question 26 options:

y = –x + 2


y = x


y = x + 3


y = –x – 7

Answers

Answer:

y= - x + 2.

Step-by-step explanation:

1. Find the slope of the given line.

The slope of any linear equation will always be the coefficient of the "x" variable when the equation is solved for "y". Since there isn't any number written to the left of "x", the slope of the line is 1.

2. Find the slope of the new line.

When looking for the slope of a line perpendicular do another, take the value of the slope and find its multiplicative inverse and change the sign of this value as well. This is how you do it:

Original slope value: 1.

Multiplicative inverse: 1/1= 1

Changing the sign: -1

3. Form the new equation.

Using the calculated value of the slope "m", which is -1, use the formula for calculating linear equations with both the slope and the values of the ordered pair:

[tex]y-y_{1} =m(x-x_{1} )[/tex]

Substitute the values and simplify.

[tex]y-(-3) =(-1)(x-(5) )\\ \\y+3=(-1)(x)-(-1)(5)\\ \\y+3=(-1x)-(-5)\\ \\y+3=-1x+5\\ \\y=-1x+2\\ \\y=-x+2[/tex]

4. Conclude.

A line that passes through point (5, –3) and is perpendicular to the equation y = x is y= - x + 2.

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Which of the following is NOT one of the three main methods of inventory evaluation as described in your reading material? A. weighted average, B. straight average, C. FIFO, D. LIFO

Answers

Answer:

A or B

Step-by-step explanation:

I think it's B.. according to the people I know

Mrs.Lopez asked a Capenter to struck a rectangular bulletin board for her classroom . she told the carpenter that the board must be 12 square feet.
1.what are the possible length and width of bulletin board?Give at least 2 pairs
2. how did you determine the possible length and width of the bulletim board?
3.suppose the length of the board is 1 ft.longer that its width and let x be the width. how will you represent the length of bulletin board?
4. given the area of the illustration board which is 12 square feet,what equation represent the given Situation? hint. Area=(length) (width)
5. how would you describe the equation formulated?
6. do you think you can use the equation formulated to find the length and width of the bulletin board

Answers

Let us answer the individual questions as per the given conditions:

1. Since the area of the bulletin board is meant to be exactly 12 square feet, the 2 pairs for length and width would be 4feet and 3feet(first pair), 6 feet and 2 feet(second pair) respectively.

2. The possible length and width of the board were determined using trial and error method to find two numbers whose product equal to 12.

3. If width of the board were to be x , and the length be 1 greater than width, we can represent the length as x+1.

4. Given the area of illustration board as 12 sq ft. the equation that represents the given situation is :  

5. The equation can be described as quadratic equation.

6. Yes, I think we can use the equation formulated to find the length and width of the bulletin board.

What is rectangle?

A quadrilateral with equal angles and parallel opposing sides is referred to as a rectangle. Around us, there are a lot of rectangle items. Two dimensions, the length and breadth, define any rectangle form.

What is the formula for calculating area of rectangle?

The formula for calculating the area of rectangle is given by:

A = L * B

where A - area of rectangle

          L - Length of the rectangle

          B - Width of the rectangle

According to the given question:

1. Using the formula for area of rectangle(length * width) , the two pairs of length and breadth can be found by finding two real positive numbers whose product equals to 12. Hence , we get 4 feet and 3 feet as first pair and 6 feet and 2 feet as second pair for length and width respectively.

2. The possible length and width pairs were determined by using the equation of area, A = L*B which is equal to 12 sq ft.

3. Since the width is given to be x by the question and x is mentioned to be    1  greater than width, hence length will be equal to x+1.

4. Using the equation for area of rectangle:

A = L * B

substituting the values as per the given conditions,

12 = x(x+1)

or, x2 + x = 12

or, x2+x-12 =0

Which is the required equation.

5. Since the highest power in the equation is 2. Hence the equation is described as quadratic equation.

6. Yes , we can use the equation formulated to find the length and width of the bulletin word, Simply solving the quadratic equation given above.

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Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
9x2 + xy + 9y2 = 19, (1, 1) (ellipse)
y = ________________?

Answers

The equation of the tangent line to the ellipse 9x^2 + xy + 9y^2 = 19 at the point (1, 1) is y = -18x + 19, which can be found using implicit differentiation.

We can find the equation of the tangent line to the ellipse 9x^2 + xy + 9y^2 = 19 at the point (1, 1) using implicit differentiation. Firstly, we take the partial derivatives of both sides of the equation with respect to x and y, which gives us y' = (9x + y)/(9y +x). Then, we plug in the given point (1,1) into the equation for y' and solve for y'. This gives us y' = (9 + 1)/(9 + 1) = 10/10 = 1. This means that the slope of the tangent line at this point is 1. We can then use the point-slope form of a line equation, y - 1 = 1(x - 1), to find the equation for the tangent line at this point, which is y = -18x + 19.

y' = (9x + y)/(9y +x)

At the given point (1,1):

y' = (9 + 1)/(9 + 1) = 10/10 = 1

Equation of the tangent line:

y - 1 = 1(x - 1)

y = -18x + 19

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This morning, Kenneth took a history test. He got 42 out of 56 problems right. What percentage did Kenneth get right?
\

Answers

42 out of 56 = 42/56 = 0.75 = 75%

Answer = 75%

After spending many hours studying for your math class (I am being hopeful here!) you decide to reward yourself with a case of soda. Unfortunately the store only had a warm case left (the Kent students got there first and got all of the cold ones). You buy several bags of ice and decide to chill it at home. When you get home the temperature of the soda is 76 degrees F and you proceed to pack it in ice. After ten minutes the temperature has cooled to 70 degrees F. If the soda is best served at 60 degrees F or cooler, how much longer must you wait to enjoy your soda? Note that you have not been given the temperature of the surroundings, but you should be able to figure out what that should be (you are packing it in ice that is at the freezing point of water so...).

Answers

the difference between the two temperatures as 16 degrees F. You must wait for another 6 minutes for the soda to cool down to 60 degrees F.

Since the initial temperature of the soda is 76 degrees F and the desired temperature is 60 degrees F, we can calculate the difference between the two temperatures as 16 degrees F. We also know that the temperature of the ice is at the freezing point of water which is 32 degrees F. This means that the temperature difference between the soda and the ice is 44 degrees F. Since the temperature difference between the soda and the ice is greater than the temperature difference between the desired temperature and the initial temperature, we can divide the desired temperature difference (16 degrees F) by the temperature difference between the soda and the ice (44 degrees F) and multiply it by the time elapsed (10 minutes) to calculate the remaining time needed for the soda to cool down to the desired temperature. 16/44 * 10 = 6. Therefore, we must wait for another 6 minutes for the soda to cool down to 60 degrees F.

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a certain statistic will be used as an unbiased estimator of a parameter. let r represent the sampling distribution of the estimator for samples of size 35, and let s represent the sampling distribution of the estimator for samples of size 15. which of the following must be true about r and s ? responses the expected values of r and s will be equal, and the variability of r will be less than the variability of s. the expected values of r and s will be equal, and the variability of r will be less than the variability of s . the expected values of r and s will be equal, and the variability of r will be equal to the variability of s. the expected values of r and s will be equal, and the variability of r will be equal to the variability of s . the expected values of r and s will be equal, and the variability of r will be greater than the variability of s. the expected values of r and s will be equal, and the variability of r will be greater than the variability of s . the expected value of r will be greater than the expected value of s, and the variability of r will be greater than the variability of s. the expected value of r will be greater than the expected value of s , and the variability of r will be greater than the variability of s . the expected value of r will be greater than the expected value of s, and the variability of r will be less than the variability of s.

Answers

Using the Central Limit Theorem, it is found that the correct option is

a. The expected values of R and S will be equal, and the variability of R will be less than the variability of S.

What is the Central Limit Theorem?

A sufficiently high sample size from a population with a finite level of variance will result in a mean of all samples from that population that is roughly equal to the population mean, according to the CLT, a statistical theory.

                             According to the central limit theorem, the distribution of the sample means will be roughly normally distributed if you take sufficiently large random samples from a population with mean and standard deviation and replacement.

The samples in this issue were drawn from the same population, thus they all had the same expected value.

R has less variability because there are more samples available.

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For linear function f, f(2)=0 and f(4)=-6.
Write function f in slope-intercept form.
Hint
Examples:
f(5)=0 means (5,0) is a point on the line.
f(3)=-2 means (3,-2) is a point on the line.
How do you find the slope of the line when you have 2 points?

Answers

Answer:

f(x) = -3x + 6

Step-by-step explanation:

f(2)=0   point (2, 0)

f(4)=-6    point (4, -6)

m = slope = (y_2 - y_1)/(x_2 - x_1)

m = (-6 - 0)/(4 - 2) = -6/2 = -3

y = mx + b

y = -3 x + b

0 = -3 × 2 + b

0 = -6 + b

b = 6

y = -3x + 6

f(x) = -3x + 6

Mario's current credit card balance is $2,673.19 with a minimum payment of $102.00. Over the next month, he plans to spend $626.00. If the APR is 26.99%, what will Mario's new balance be, including
interest? (2 points)
$3,201.98
$3,269.10
$3,197.19
$3,394.68

Answers

If the APR on Mario's credit card is 26.99%, Mario's new balance, including interest will be B. $3,269.10.

What is the APR?

Annual percentage rate (APR) is the annual finance charge applied to a credit balance.

The APR includes interest and other fees for borrowing credit.

Current credit card balance =             $2,673.19

Minimum payment within the month =  (102.00)

Purchase payments                                626.00

Finance Charge                                       $71.91 ($3,197.19 x 26.99% x 1/12)

Ending credit card balance =            $3,269.10 ($3,197.19 + $71.91)

Annual percentage rate = 26.99%

Monthly percentage rate = 2.25% (26.99% ÷ 12)

Thus, Mario will end up with a credit card balance of $3,269.10 after one month with APR of 26.99%.

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2. *
In a table of values for a pattern, P=3 when n=1; which of the following equations might represent the pattern?
a) P=3 n
b) P=n+3
c) P=2 n+1
d) P=3-n
A
B
C
Both A andC

Answers

In a table of values for a pattern, P=3 when n=1; the equations P=3n and 2n+1 might represent the pattern. So the option d "Both A and C" is correct option.

In the given question, In a table of values for a pattern, P=3 when n=1; which of the following equations might represent the pattern.

a) P=3n

b) P = n+3

c) P = 2n+1

d) P = 3-n

We find the pattern we firstly observe the given diagram closely.

We firstly check which option can given P=3 when n=1.

Firstly taking the option a.

P = 3n

Now put n=1, so

P = 3

Hence, the option one is following the condition.

Now taking the option b.

P = n+3

Now put n=1, so

P = 1+3

P = 4

Hence, the option b is not following the condition.

Now taking the option c.

P = 2n+1

Now put n=1, so

P = 2(1)+1

P = 2+1

P = 3

Hence, the option c is following the condition.

Now taking the option d.

P = 3-n

Now put n=1, so

P = 3-1

P = 2

Hence, the option d is not following the condition.

Hence, the option a and c is following the condition. So the option d "Both A and C" is correct option.

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the product of 3 and a number is twice 23

Answers

3x=46 set up the equation
x=46/3 ≈15.33

martin is 6 years younger than his sister. the sum of their ages is no more than 22 years. enter an inequality that can be used to represent this situation in the box, where x represents martin's sister's age.

Answers

Answer:

x ≤ 14

Step-by-step explanation:

x = age of Sis

x - 6 = Martin's age

x + (x-6) ≤ 22

2x - 6 ≤ 22

2x ≤ 28

x ≤ 28/2

x ≤ 14

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