Two soccer teams play 8 games in their season. The number of goals each team scored per game is listed below: Team X: 11, 3, 0, 0, 2, 0, 6, 4 Team Y: 4, 2, 0, 3, 2, 1, 6, 4 Which of the following is true? A. Team X’s scores have a lower interquartile range. B. Team X’s scores have a higher median value. C. Team Y’s scores have a lower mean value. D. Both teams have the same range of scores.

Answers

Answer 1

Answer:

C. Team Y’s scores have a lower mean value.

Step-by-step explanation:

We are given that Two soccer teams play 8 games in their season. The number of goals each team scored per game is listed below:

Team X: 11, 3, 0, 0, 2, 0, 6, 4

Team Y: 4, 2, 0, 3, 2, 1, 6, 4

Firstly, we will calculate the mean, median, range and inter-quartile range for Team X;

Mean of Team X data is given by the following formula;

        Mean, [tex]\bar X[/tex] =  [tex]\frac{\sum X}{n}[/tex]

                       =  [tex]\frac{11+ 3+ 0+ 0+ 2+ 0+ 6+ 4}{8}[/tex]  =  [tex]\frac{26}{8}[/tex]  = 3.25

So, the mean of Team X's scores is 3.25.

Now, for calculating the median; we have to arrange the data in ascending order and then observe that the number of observations (n) in the data is even or odd.

Team X: 0, 0, 0, 2, 3, 4, 6, 11

If n is odd, then the formula for calculating median is given by;

                         Median  =  [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

If n is even, then the formula for calculating median is given by;

                         Median  =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

Here, the number of observations is even, i.e. n = 8.

So, Median =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{(\frac{8}{2})^{th} \text{ obs.} +(\frac{8}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{(4)^{th} \text{ obs.} +(5)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{2+3}{2}[/tex]  = 2.5

So, the median of Team X's score is 2.5.

Now, the range is calculated as the difference between the highest and the lowest value in our data.

               Range = Highest value - Lowest value

                           = 11 - 0 = 11

So, the range of Team X's score is 11.

Now, the inter-quartile range of the data is given by;

        Inter-quartile range = [tex]Q_3-Q_1[/tex]

[tex]Q_1=(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](\frac{8+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](2.25 )^{th} \text{ obs.}[/tex]

[tex]Q_1 = 2^{nd} \text{ obs.} + 0.25[ 3^{rd} \text{ obs.} -2^{nd} \text{ obs.} ][/tex]

     =  0 + 0.25[0 - 0] = 0

[tex]Q_3=3(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex]3(\frac{8+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](6.75 )^{th} \text{ obs.}[/tex]

[tex]Q_3 = 6^{th} \text{ obs.} + 0.75[ 7^{th} \text{ obs.} -6^{th} \text{ obs.} ][/tex]

     =  4 + 0.75[6 - 4] = 5.5

So, the inter-quartile range of Team X's score is (5.5 - 0) = 5.5.

Now, we will calculate the mean, median, range and inter-quartile range for Team Y;

Mean of Team Y data is given by the following formula;

        Mean, [tex]\bar Y[/tex] =  [tex]\frac{\sum Y}{n}[/tex]

                       =  [tex]\frac{4+ 2+ 0+ 3+ 2+ 1+ 6+ 4}{8}[/tex]  =  [tex]\frac{22}{8}[/tex]  = 2.75

So, the mean of Team Y's scores is 2.75.

Now, for calculating the median; we have to arrange the data in ascending order and then observe that the number of observations (n) in the data is even or odd.

Team Y: 0, 1, 2, 2, 3, 4, 4, 6

If n is odd, then the formula for calculating median is given by;

                         Median  =  [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

If n is even, then the formula for calculating median is given by;

                         Median  =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

Here, the number of observations is even, i.e. n = 8.

So, Median =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{(\frac{8}{2})^{th} \text{ obs.} +(\frac{8}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{(4)^{th} \text{ obs.} +(5)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{2+3}{2}[/tex]  = 2.5

So, the median of Team Y's score is 2.5.

Now, the range is calculated as the difference between the highest and the lowest value in our data.

               Range = Highest value - Lowest value

                           = 6 - 0 = 6

So, the range of Team Y's score is 6.

Now, the inter-quartile range of the data is given by;

        Inter-quartile range = [tex]Q_3-Q_1[/tex]

[tex]Q_1=(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](\frac{8+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](2.25 )^{th} \text{ obs.}[/tex]

[tex]Q_1 = 2^{nd} \text{ obs.} + 0.25[ 3^{rd} \text{ obs.} -2^{nd} \text{ obs.} ][/tex]

     =  1 + 0.25[2 - 1] = 1.25

[tex]Q_3=3(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex]3(\frac{8+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](6.75 )^{th} \text{ obs.}[/tex]

[tex]Q_3 = 6^{th} \text{ obs.} + 0.75[ 7^{th} \text{ obs.} -6^{th} \text{ obs.} ][/tex]

     =  4 + 0.75[4 - 4] = 4

So, the inter-quartile range of Team Y's score is (4 - 1.25) = 2.75.

Hence, the correct statement is:

C. Team Y’s scores have a lower mean value.


Related Questions

PLEASE HELPPPPPPPPP!!! Graph the line that represents a proportional relationship between d and t with the property that an increase of 3 units in t corresponds to an increase of 4 units in d. What's the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will correspond to a change of how many unites in d?) The unit rate is _____? Graph the relationship.

Answers

Answer:

Draw a straight line through these two points (0, 0) and (1, 3).

Step-by-step explanation:

"Proportional relationship" implies line or curve that goes through the origin; there is no "y-intercept" in this case.  

Plot a dot at (0, 0).  Next, move your pencil point 1 unit to the right (you'll end up at (1, 0), and then move it from there up to (1, 3).  Draw a straight line through these two points (0, 0) and (1, 3).

Answer:

The unit rate of change of d with respect to t is 4/3.

The graph should be: (0,0) and (3/4).

Step-by-step explanation:

I got it wrong on khan academy :/

so i went over here and answer it

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72 if * is exponents

YS is the perpendicular bisector of x2. What is the length of ys?

O A. 9
O B. 12
O C. 18
O D. 8

Answers

Answer:

the answrr is option a 9

The most logical answer would be OPTION A which is 9 hope this helps

Determine if the statement is always, sometimes or never true. The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle. always

Answers

Answer:

I believe it is never

Step-by-step explanation:

Sorry if I'm wrong ...

this table gives a few (x,y) pairs of a line in the coordinate plane x y -12 14 -2 21 8 8 what is the x intercept of the line?

Answers

Answer:

(-2, 21) and (8, 8)

Step-by-step explanation:

Use the two coordinate pairs (-2, 21) and (8, 8).  As we go horizontally from the first to the second, the run (change in x) is 10 and the rise (change in y) is -13.  Thus, the slope of the line through (-2, 21) and (8, 8) is m = rise / run = -13/10.

The equation of this line follows y - k = m(x - h):

y - 8 = (-13/10)(x - 8)

Answer:

(-32,0)

Step-by-step explanation:

Dilate the figure by a scale factor of 0.5 with the origin as the center of dilation. What are the vertices of the image?
1 F '(3, 2.5), G '(5, 0.5), H '(2, 1)
2 F '(2.5, 3), G '(0.5, 5), H '(0.5, 1)
3 F '(−3, −2.5), G '(−5, −0.5), H '(−1, −0.5)
4 F '(3, 2.5), G '(5, 0.5), H '(1, 0.5)

Answers

Answer:

4. F '(3, 2.5), G '(5, 0.5), H '(1, 0.5)

Step-by-step explanation:

The formula for dilations are

[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] where t1 is the scale factor

F has coordinates (6,5) so you can write

[tex](6*0.5,5*0.5)[/tex]

Multiply 6 by 0.5 and 5 by 0.5 to get

[tex](3,2.5)[/tex]

Next, do G. It has coordinates (10, 1) so you can write

[tex](10*0.5, 1*0.5)[/tex]

Multiply 10 by 0.5 and 1 by 0.5 to get

[tex](5, 0.5)[/tex]

Finally, point H has coordinates (2, 1) so you can write

[tex](2*0.5, 1*0.5)[/tex]

Multiply 2 by 0.5 and 1 by 0.5 to get

[tex](1, 0.5)[/tex]

Hope this helps. Feel free to ask any follow-up questions.

Have a great day! :)

Answer:  F '(3, 2.5), G '(5, 0.5), H '(1, 0.5).

From the image the vertices are F(6, 5), G(10, 1), H(2, 1).

We have to dilate the figure by a scale factor of 0.5 with the origin as the center of dilation.

We will multiply the vertices by 0.5.

So the new vertices will be: F '(3, 2.5), G '(5, 0.5), H '(1, 0.5).

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HELP!!! ANSWER SOON!!!! Which graph shows the solution set for 2 x + 3 greater-than negative 9? A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Answers

We can solve the inequality 2x + 3 > -9 by first subtracting 3, then dividing by 2:

2x > -12

x > -6

This graph should have an open circle at negative 6 (this is a strict inequality, so x cannot equal -6), with everything to the right shaded (since x is greater than -6).

Answer:

C

Step-by-step explanation:

Did test on edge

The stem-and-leaf plot shows the number of points scored by the Bears in each of their basketball games this season. Identify the mean and median, as
well as how many games they scored at least 30 points. Round to nearest tenth for any calculations.
STEM
LEAF
1
89
2
02336889
3
01 4 4 5 6 8 9
4
012
113
8 = 18 points

Answers

Answer:

Mean = 30.3

Median = 30

They scored 30 or more points on 11 games.

Step-by-step explanation:

Mean = all the numbers added together divided by 21

636/21 = 30.3

Median is the middle number (the 11th) = 30

In the circle below, O is the center and mĞ= 150°. What is the measure of angle HIG?​

Answers

Answer:

15°

Step-by-step explanation:

∠GOI=150°

∠HOG=30°

∠HIG=30°/2=15°(Circle angle)

Which equation can be used to find AB?

Answers

Answer:

cos 42 = 10 / AB

Step-by-step explanation:

Since this is a right angle, we can use trig functions

cos theta = adjacent / hypotenuse

cos 42 = 10 / AB

Dhidhdjdkdjdndjskdkndndkdjdndn

anyone knows this? thanks

Answers

Answer:

B. 15:1

Step-by-step explanation:

30/2=15/1

45/3=15/1

60/4=15/1

75/5=15/1

Hope this helps ;) ❤❤❤

The correct answer is B

HELP NOWWWWW Jeanne wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that the number is odd? Input your answer as a decimal or fraction.

Answers

Answer:

P(odd) = 0.5

Step-by-step explanation:

There are 50 odd numbers for whole numbers 1-100, namely

{1,3,5,....97,99}

Therefore the probability that a single chosen number is odd is

P(odd) = 50/100 = 1/2

1/2 is the probability that the number is odd.

What is probability?

The probability is defined as the possibility of an event is equal to the ratio of the number of outcomes and the total number of outcomes.

Total number of possibilities = 100

We want to find Probability of selecting odd:

There are 50 odd numbers for whole numbers 1-100, namely

Favourable possibilities are:

{1,3,5,....97,99} (Total 5 possibilities).

Therefore Probability = 50/100 = 1/2 or 50%

P(odd) = 50/100 = 1/2

Hence, 1/2 is the probability that the number is odd.

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BRAINLIEST TO FIRST RIGHT ANSWER The coefficients of the first three terms in the expansion of (x – y) 4 are a) 1, –4, –6 b) 1, –4, 6 c) 1, 4, 6 d) 1, 3, 5

Answers

Answer:

b) 1, -4, 6

Step-by-step explanation:

(x-y)^4=

(x-y)(x-y)(x-y)(x-y)=

(x^2-xy-xy-y^2)(x^2-xy-xy-y^2)=

(x^2-2xy-y^2)(x^2-2xy-y^2)=

x^4-4x^3y+6x^2y^2-4xy^3+y^4

Identify the coefficient of 12b5.

Answers

Given the value [tex]12b^{5}[/tex] ; the coefficient of b is 12.

The Coefficient is a numerical value or constant which is used to multiply a variable; from the value given above ;

The variable is b ;

The Coefficient = 12 ; the coefficient is the value which is used fo multiply the variable b.

The power is the value to which the variable is raised.

Hence,

The Coefficient is 12 ; it is the value which multiplies the variable 'b' and the power is 5

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Help ASAP! Will give out brainliest! Questions: Classify the system of equations and identify the number of solutions. 3x + y = 4 12x + 4y = 16 Answers: consistent, independent; one inconsistent; none consistent, dependent; one consistent, dependent; infinite

Answers

Answer:

the 2 equations are on top of each other, they are the same line

which means it is consistent, dependent, infinite

Step-by-step explanation:

the second equation is just 4 times the first equations.

Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $ 7.50 delivery fee and $ 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $ 60. Each pizza is cut into 8 slices, and she wonders how many total slices she can afford. Let P PP represent the number of pizzas that Jacque buys. 1) Which inequality describes this scenario? Choose 1 answer: (Choice A,) 7.50 + 14 P < 60 (Choice B) 7.50 + 14 P > 60 (Choice C) 14 + 7.50 P < 60 (Choice D) 14 + 7.50 P > 60 2) What is the largest number of slices that Jacque can afford?

Answers

Answer: Choice A

Step-by-step explanation:

She can only buy 3 pizzas. 14 times 3 is 42. 42 plus 7.50 is 49.50. Another 14 dollars would be over. So 24 SLICES she can afford.

Here, we are required to identify the inequality that describes Jacque's pizza purchase scenario and also the largest number of slices that Jacque can afford

Choice 1 which is ;

Choice 1 which is ;7.50 + 14 P < 60

Choice 1 which is ;7.50 + 14 P < 60Jacque can afford to buy 30slices of pizza

First,

Since the restaurant charges a fixed $ 7.50 for delivery and charges $ 14 per pizza.and she also needs to keep the delivery fee plus the cost of the pizzas under $ 60

The inequality which describes the scenario is :

Choice 1 which is ;

7.50 + 14 P < 60

And to determine the largest number of slices that Jacque can afford, we have to solve for P first.

Therefore, 14P < 60 - 7.50P = 52.50/14P = 3.75Therefore, Jacque can only buy 3.75 pizzas

However, the question requires that we determine how many slices she can afford to buy,

Since each pizza is cut into 8 slices

Jacque can afford to buy 3.75 × 8 slices of pizza.

Jacque can afford to buy 30slices of pizza

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SOMEONE PLS HELP PRECALCULUS

Answers

Sine is negative in quadrants 3 and 4, when y < 0.

Tangent is negative for quadrants 2 and 4, when y/x < 0. Basically when x and y differ in sign (one is positive, the other is negative)

The common quadrant mentioned is quadrant 4.

Quadrant 4 has angles that are between 270 degrees and 360 degrees

So we have [tex]270^{\circ} < \theta < 360^{\circ}[/tex]

Answer: Choice D

solve each equation for 0 x 360 sqrt 2 cosx+1=0 please hurry

Answers

Answer:

[tex]120\º \text{ and } 240\º[/tex]

or in radians:

[tex]$\frac{2\pi }{3} \text{ and } \frac{4\pi }{3}$[/tex]

Step-by-step explanation:

From the way you wrote, you want to solve the equation

[tex]\sqrt {2 \cos(x)+1}=0[/tex] for [tex]0 \leq x < 360\º[/tex], or in radians [tex][0, 2\pi)[/tex]

[tex]\sqrt {2 \cos(x)+1}=0[/tex]

Square both sides

[tex]2 \cos(x) +1= 0[/tex]

[tex]2\cos(x)=-1[/tex]

[tex]$\cos(x)=-\frac{1}{2} $[/tex]

In the Unit Circle, considering one revolution (interval [tex][0, 2\pi)[/tex]),

the values where [tex]$\cos(x)=-\frac{1}{2} $[/tex]  are in Quadrant II and III.

Once

[tex]$\cos(x)= \frac{1}{2} \text{ for } x = 60\º \text{ in the Quadrant I}$[/tex]

The values where

[tex]$\cos(x)=-\frac{1}{2} $[/tex]   are 120º and 240º.

Answer:

C on edge

Step-by-step explanation:

Find the area of the shaded polygon:

Answers

Answer:

6 units squared

Step-by-step explanation:

To solve this problem you can solve for the entire area of the square and subtract the area of the unfilled areas for the area of the shaded region..

Area of entire square is 4*4=16

Now for the sections that are unfilled:

4*3/2= 6

1*1/2= 0.5

2*1 = 2

1*1 = 0.5

2*1/2 = 1

Total area of Unfilled region = 6 + 0.5 + 2 + 0.5 +1 = 10

Area of filled region = 16 - 10 = 6 units squared

Hope this helped!

6 units squared is the answer

Does the function ƒ(x) = (0.85)x represent exponential growth, decay, or neither? Question 8 options: A) Exponential decay B) Impossible to determine with the information given. C) Neither D) Exponential growth

Answers

Answer:

exponential decay

Step-by-step explanation:

The function  f(x)=0.85ˣ is a exponential decay.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given function is f(x)=0.85ˣ.

The function f of x is equal to zero point eight five to the power of x.

Exponential decay refers to a process in which a quantity decreases over time, with the rate of decrease becoming proportionally smaller as the quantity gets smaller.

The function  f(x)=0.85ˣ is a exponential decay.

Hence, the function  f(x)=0.85ˣ is a exponential decay.

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A sample of 120 local residents reveals that 8 have a post office box for receiving mail. What is the relative frequency that a local resident does not have a post office box for receiving mail?

Answers

Answer:

[tex]\frac{1}{15}[/tex] or 6.67%

Step-by-step explanation:

In practice, the relative frequency of an event happening is the same as the probability that that event happened. In other words, the terms "relative frequency" and "probability" can be used interchangeably.

Now, the probability P(A) of an event A happening is given by;

P(A) = [tex]\frac{number-of-outcomes-in-the-event-A}{number-of-outcomes-in-the-sample-space}[/tex]

From the question;

The event A is the situation of local residents having a post office box. Therefore the;

number-of-outcomes-in-the-event-A = 8   [since only 8 of the local residents have a post office box]

number-of-outcomes-in-the-sample-space = 120 [since there are altogether 120 local residents]

Therefore,

P(A) = [tex]\frac{8}{120}[/tex]

P(A) = [tex]\frac{1}{15}[/tex]

The relative frequency that a local resident does not have a post office box for receiving a mail is therefore, [tex]\frac{1}{15}[/tex]

PS: Sometimes it is much more convenient to express relative frequencies as percentage. Therefore, the result above expressed in percentage gives:

[tex]\frac{1}{15} * 100%[/tex]% = 6.67%

Which is the equation of a parabola with focus (0, 5) and directrix y= -1?

Answers

Answer:

Can you include more detail like the equations to choose from so I can help

Step-by-step explanation:

Help please and show work too

Answers

Answer:

Below

Step-by-step explanation:

51)

Let n be the first even number.

So the four consecutive even numbers are:

● n

● n+2

● n+4

●n+6

The smallest minus twice the larger is 4

● n-2(n+6)= 4

●n-2n-12 =4

● -n -12 =4

● -12 = 4+n

● -12-4 = n

● -16 = n

so the first even number is -16 and the largest one is -10

● -16+6= -10

■■■■■■■■■■■■■■■■■■■■■■■■■

Let m be the first integer

So the five consecutive integers are:

● m

● m+1

● m+2

● m+3

● m+4

The sum of this terms is 5.5 times the middle(m+2)

● m+m+1+m+2+m+3+m+4 = 5.5(m+2)

● 5m + 10 = 5.5 m +11

● -0.5 m = 1

●-m = 2

● m= -2

So the integers are;

● -2

● -1 (-2+1)

● 0

● 1

● 2

Consider points a, b, and c in the graph. Which point is the global maximum? Question 6 options: A) b B) c C) None of these D)

Answers

point a is the maximum

Answer:

point a is the maximum

Step-by-step explanation:I took the test

What is the length of AB, given that figure ABCD is a rhombus?

A. 12
B. 4
C. 16
D. 8

Answers

Answer:

c

Step-by-step explanation:

D is the answer because a rhombus has four equal sides.

PLEASE HELPPP A bowler gets a strike 25% of the time. If he throws the ball 20 times, find the probability that he gets: a) five strikes b) at least one strike

Answers

Hey there! I'm happy to help!

------------------------------------------------------------------

PART A

We see that our bowler gets a strike 25% or 1/4 of the time. This means he has a 75% chance of not getting a strike. To find the probability of him getting five strikes, we use multiplication rule, which says that if you multiply the probability of one event by another it equals the probability of both events occurring.

However, this time, we have twenty separate throws, and we have to multiply all of the probabilities of a certain event happening on each roll. This means that we will multiply five 25%s to signify the five strikes and 15 75%s to represent the 15 times he misses and this will give us the probability of this event happening. I will put these in decimal form for now and then convert it back. I will also use exponents so I don't have to write out the entire thing.

P(5 strikes)=0.25^5×0.75^15≈0.000013=0.0013%

The probability of him getting five strikes is 0.0013%.

------------------------------------------------------------------

PART B

To find the answer, we will first need to find the probability that he makes no strike at all, which will 75% multiplied 20 times.

P(no strike)=0.75^20≈0.003171211938934

We see that the percentage of the bowler getting a strike is 25%, while a miss is 75%. These add up to 100%. If these add up to 100%, then so should to probabilities of making at least one strike and making no strike at all!

100%-0.003171211938934%≈99.999682%

Basically, with twenty throws, he is guaranteed to make at least one strike with a probability of about 99.99%.

I hope that this helps! Have a wonderful day!

Christine will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs $0.60 per mile driven. The second plan has
an initial fee of $50 and costs an additional $0.40 per mile driven. How many miles would Christine need to drive for the two plans to cost the same?

Answers

Answer:

Christine needs to drive 250 miles for the two plans to cost the same

Step-by-step explanation:

For answering the question correctly and helping Christine, we will use the following equation:

x = number of miles driven

Cost of the first plan = 0.60x

Cost of the second plan = 50 + 0.40x

How many miles would Christine need to drive for the two plans to cost the same?

Cost of the first plan = Cost of the second plan

0.60x = 50 + 0.40x

0.60x - 0.40x = 50 (Subtracting 0.40x at both sides)

0.20x = 50

x = 50/0.2

x = 250 miles driven

Christine needs to drive 250 miles for the two plans to cost the same.

10 Points! Help is aprreciated!! :)

Answers

Answer:

A

Step-by-step explanation:

Since the the value is greater than 1, f(x),g(x), and h(x) are exponential functions.

No explanation needed answer fast TY

Answers

Answer:

50.24

Step-by-step explanation:

The first step is to find the area of it if it was a whole circle

you get this by squaring the radius

8*8 or 8^2= 64

then, you have to multiply it by 3.14 which gives you

200.96.

Then divide it by 4 to get a quarter of the circle to get the final answer

50.24

Hope this helps, if it does, please give me brainliest, it will help a lot :)

Have a good day

To most closely estimate the difference below, would you round the numbers to the nearest ten thousand, the nearest thousand, or the nearest hundred? Explain. 62,980 - 49,625 =?

Answers

Answer:

To most closely estimate the difference, I would round 62,980 to the nearest thousand, so it will be 63,000. That is because when rounding, 63,000 is large enough so that adding will be easy, and 62,980 is relatively close to 63,000.

I would round 49,625 to the nearest thousand, since it would make the subtraction easier and 49,625 is only 375 units away from 50,000.

63,000 - 50,000 = about 13,000.

Hope this helps!

63,000-50,0000=13,0000 you need to round i hope it helps
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