Mr. Smith has owned his car for 12 years. The car has 169,344 miles recorded on the odometer. What is the average number of miles Mr. Smith's car has been driven each year?​

Answer:

(a): [tex]\bar x = 5.54[/tex]   and  [tex]Median = 4.86[/tex]

(b): [tex]\bar x = 5.27[/tex] and [tex]Median = 5.21[/tex]

(c): New York Yankees

Step-by-step explanation:

Given

Data of New York ERA and Baltimore ERA

Solving (a): Mean and Median of New York ERA

Mean is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

For New York ERA, n = 19. So, we have:

[tex]\bar x = \frac{3.13 + 2.88 + 4.99 + 3.99 + 4.68 + 5.80 + 6.81 + 0.98 + 4.86 + 5.93 + 2.88 + 3.92 + 4.08 + 3.00 + 7.50 + 9.00 + 5.40 + 7.36 + 18.00}{19}[/tex]

[tex]\bar x = \frac{105.19}{19}[/tex]

[tex]\bar x = 5.53631578947[/tex]

[tex]\bar x = 5.54[/tex]

To calculate the median value, we first arrange the data (in ascending order):

So, we have:

0.98, 2.88, 2.88, 3.00, 3.13, 3.92, 3.99, 4.08, 4.68, 4.86, 4.99, 5.40,  5.80, 5.93, 6.81, 7.50, 7.36, 9.00, 18.00

The median value of odd number of data is:

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

Substitute 19 for n

[tex]Median = \frac{1}{2}(19+1)\ th[/tex]

[tex]Median = \frac{1}{2}(20)\ th[/tex]

[tex]Median = 10th[/tex]

So, the median is the 10th item.

[tex]Median = 4.86[/tex]

(b): Mean and Median of Baltimore ERA

Mean is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

For Baltimore ERA, n = 17. So, we have:

[tex]\bar x = \frac{4.58+ 5.77+ 5.21+ 6.51+ 4.29+ 2.50+ 5.23+ 4.31+ 4.87+ 3.14+ 2.57+ 7.92+ 7.79+ 5.40+ 2.92+ 10.13+ 6.52}{17}[/tex]

[tex]\bar x = \frac{89.66}{17}[/tex]

[tex]\bar x = 5.27411764706[/tex]

[tex]\bar x = 5.27[/tex] --- approximated

Arrange in ascending order:

2.50 , 2.57 , 2.92 , 3.14 , 4.29 , 4.31 , 4.58 , 4.87 , 5.21, 5.23 , 5.40 ,5.77  , 6.51 , 6.52, 7.79 , 7.92 , 10.13

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

[tex]Median = \frac{1}{2}(17+1)th[/tex]

[tex]Median = \frac{1}{2}(18)th[/tex]

[tex]Median = 9th[/tex]

So, the median is the 9th item.

[tex]Median = 5.21[/tex]

(c): Who has a better record

Statistically, the average ERA of New York Yankees is better than the average ERA of Baltimore Orioles.

Hence, New York Yankees hold the better record

Answer:

m= -2/3

Step-by-step explanation:

m= y2-y1/ x2-x1

m= -5-(-3)/ -3-(-6)

m= -5+3/ -3+6

m= -2/3

Answer:

4

Step-by-step explanation:

Answer:

Use Photo Math

Step-by-step explanation:

Answer:

for the nine toilet pack, a toilet roll is 3.15/9 which is£0.35 while for the 4 toilet roll pack, a toilet roll is 1.36/4 which is £0.34 so the nine toilet pack gives the best value for money because a toilet roll sells for £0.35 which is £ 0.01 more than the four toilet pack

Answer:

D. 4 3/4

Step-by-step explanation:

1+3=4

2/4 + 1/4 = 3/4

hope it helps:)

Answer: x=−5/24

Step-by-step explanation: hope this help

Answer:

Substitute the value of the variable into the equation and simplify.

16

Step-by-step explanation:

Hope this helps! Have a great day!

Answer: 16

Step-by-step explanation:

[tex]- 3x -8=\\-3(-8)-8=\\24-8=\\16[/tex]

Answer:

[tex]y=\frac{1}{4}x+1[/tex]

Step-by-step explanation:

the common formula of the required equation is:

[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]

if to substitute the given coordinates into the folmula above, then the required equation is:

[tex]\frac{x-0}{4-0} =\frac{y-1}{2-1};[/tex] ⇔ y-1=1/4*x; ⇔  [tex]y=\frac{1}{4} x+1.[/tex]

Answer:

1. C

2. D

3. D

4. E

5. B

6. G

7. unknown

Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.

Step-by-step explanation:

Let slice of pizza cost x and a 12-ounce cola cost y.

Then Sara's order cost: 2x+y=3

and Sydney's order cost: 3x+2y=4.75

From the first equation we have: y=3-2x and put this to the second equation:

3x+2(3-2x)=4.75

3x+6-4x=4.75

x=1.25

y=3-1.25*2=0.50

Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.

Answer:

84.48

Step-by-step explanation:

Formula = Number x 100

Percent = 49 x 100

58 = 84.48

Answer:

person above me is 100% correct

Answer:

hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

5w+2c=17

3w+8c=34

2c=-5w+17

c=3.50

w=2

mariana bedoya sanches

Answer:

-2 2/5, -0.8, 0.5, 2/3

Step-by-step explanation:

We have four values, two that are fractions and two that are decimals and are asked to put them from least to greatest.

We have a dillema of values in this question, two are fractions and two are decimals. We need to convert all of them towards one symbol to get our answer.

Let's try decimals, since they are more easier to see which is the bigger value.

Start with 2/3, what is 2 divided by 3?

2/3

0.6 repeated.

As of now, we have 0.6 repeated, -2 2/5, 0.5, and -0.8.

Now do the second fraction, turn -2 2/5 to an improper fraction by multiplying the whole number by the denominator and adding the numerator.

-2 * 5 + 2

-10 + 2

-8/5

Now convert -8/5 to a decimal :

-8/5

-1.6

Now we have all decimals, put the from least to greatest.

0.6 repeated, -1.6, 0.5, -0.8

-1.6, -0.8, 0.5, 0.6 repeated

Therefore our list from least to greatest is :

-2 2/5, -0.8, 0.5, 2/3

Answer:

− 3 5 + 6

Step-by-step explanation:

p.s. give me crown please

Answer

The second derivative of an implicit function can be found using sequential differentiation of the initial equation F(x,y)=0. At the first step, we get the first derivative in the form y′=f1(x,y). On the next step, we find the second derivative, which can be expressed in terms of the variables x and y as y′′=f2(x,y).

Answer:

50

Step-by-step explanation:

28+13=41. So, 91-41=50

Answer:

infinitely many solutions​

Answer:

NO SOLUTION

Step-by-step explanation:

Answer:

it should be B

Step-by-step explanation:

it looks like a proportional line

Answer:

Answer A and answer B

54 is one of the heights, so there would be a solid dot on 54. Because you need to be taller, the arrow would point to the right from the solid dot at 54 inches.

The correct graph is C ( the third one down)

The graph that represents the set of heights that satisfy this requirement is the third graph.

The requirment is that the heights of the people who ride the roller coaster should be at least 54 inches. This means that the height of the riders can be 54, 55, 100 0r 120.

Thus the graph that represents this is the graph that has a coloured circle on 54 and extends to number greater than 54.

To learn more about the number line, please check: https://brainly.com/question/557284

Answer:

Step-by-step explanation:

so u have to mulpie the all of the he money bey step by step in till u get the answer

Answer:

the answer is 11046.4

Step-by-step explanation:

if u can pls can u give me brainiest  

Answer:

3/4 and 10/12

Step-by-step explanation:

can i get brainliest please???

it would be very much appreciated

have a nice day :)

Answer:

36.1 meters

Step-by-step explanation:

Since this is a rectangle, the parallel sides are equal to each other, meaning we technically already know all the side lengths.

I'll choose to look at the bottom triangle in this case

30 is already there, and the other leg should be 20. Knowing this, we can plug these into the pythagorean theorem.

20 is A, 30 is B, and the missing side is C

[tex]a^{2} + b^{2} = c^{2}\\20^{2} + 30^{2} = c^{2} \\400 + 900 = 1300 \\\sqrt{1300} = 36.06\\[/tex]

C, the missing side to the nearest tenth is 36.1 meters

Answer:

0.5 miles or 1/20 miles.

Step-by-step explanation: You need to subtract 4/5-3/4

Answer:

129 + 6x

Step-by-step explanation:

x represents how many months have passed

Answer:

Step-by-step explanation:

From the given information;

Let R represent Ramadan Inn

S to represent Sheraton; &

L to represent Lakeview Motor

F to represent faulty plumbing

So;

P(R) = 0.2

P(S) = 0.5

P(L) = 0.3

P(F|R) = 0.05

P(F|S) = 0.04

P(F|L) = 0.08

Then; to find the probability there will be a client assigned to the faulty room.

i.e.

P(F) =( P(R) × P(F|R) ) + ( P(S) × P(F|S) ) + ( P(L) × P(F|L) )

P(F) = (0.2 × 0.05) + (0.5 × 0.04) + (0.3 × 0.08)

P(F) = 0.01 + 0.02 + 0.024

P(F) = 0.054

suppose an individual with a room possessing faulty plumbing was given an accomodation at Lakeview Motor

Then:

P(L|F) = P(L) × P(L|F) / P(F)

P(L|F) = 0.3 × 0.08 / 0.054

P(L|F) = 0.4444