10. The ages of participants in a relay race are 12.15, 14, 13, 15, 12, 22. 16, and
Identify the outlier in the data set. Determine how the outlier affects the
mean, median, and mode of the data. Then tell which measure of center best
describes the data with and without the outlier.
Please help with number 10 !!!!!! 40 points

Answer:

You can take this equation into two approaches.

#1 subtracting 4x from both sides:

-3x+10=4x-20 (subtract 4x from each side)

-7x+10=-20 (then subtract 10 from each side)

-7x=-30 (then divide by -7 to get x by itself)

x=30/7

#2 Add 3x to both sides:

-3x+10=4x-20 (Add 3x to both sides)

10=7x-20 (then add 20 to each side)

30=7x (divide both sides by 7)

30/7=x

Either way you do it you will get x=30/7 as your answer.

Hope this helps ;)

Answer:letter c x=30/7

Step-by-step explanation:

Answer:

Both of them

Step-by-step explanation:

Answer:

Both of them

Step-by-step explanation:

Answer:

A) (x − 2)2 + (y + 1)2 = 16

please give me brainliest

Step-by-step explanation:

center: (2, −1)

(x − 2)2 + (y + 1)2

radius: 4

4^2 = 16

Answer:

The volume of the toy is [tex]V=5.23\ ft^3[/tex]

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

[tex]V=\frac{2}{3}\pi r^{3}[/tex]

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

[tex]D=2\ ft[/tex]

[tex]r=2/2=1\ ft[/tex] ----> the radius is half the diameter

substitute

[tex]V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3[/tex]

step 2

Find the volume of the cone

The volume of the cone is given by

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

we know that

The radius of the cone is the same that the radius of the hemisphere

so

[tex]r=1\ ft[/tex]

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

[tex]h=4-1=3\ ft[/tex]

substitute the given values

[tex]V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3[/tex]

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

so

[tex]V=(\frac{2}{3} \pi+\pi)\ ft^3[/tex]

[tex]V=(\frac{5}{3}\pi)\ ft^3[/tex]

assume

[tex]\pi=3.14[/tex]

[tex]V=\frac{5}{3}(3.14)=5.23\ ft^3[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{QT}{Q'T'}=\frac{1}{2}\\[/tex]

Scale factor:

1:2

Answer:

A. 3,800

Step-by-step explanation:

42,198 - 38,412 = 3786

Final answer:

To find the decrease in the number of registered nurses from last year, subtract this year's nurse count, 38,412, from last year's, 42,198, which results in 3,786, rounded to 3,800 (option a).

Explanation:

The question asks to calculate the difference in the number of nurses registered this year compared to last year. The registered nurses this year are 38,412, and last year there were 42,198 nurses. To find the difference, we subtract the number of nurses this year from the number last year.

Number of nurses last year: 42,198

Number of nurses this year: 38,412

Difference = 42,198 - 38,412 = 3,786

The closest round number to the actual difference (3,786) is 3,800, which is option (a).

Answer:

18 x

7 y+19

-t+16 z

6 x^2 +21 m n

10 x - 6

Step-by-step explanation:

Add the coefficients

Subtract the coefficients

Combine like terms

Combing like terms

Distribute the three into the parenthesis then combine the like terms.

Look at the attached picture ⤴

Hope it will help u........

Answer:

$35.79

Step-by-step explanation:

Bill:                   $28.35

Tip of 20%:      $5.67     ( 28.35*0.2)

Tax of 6.25%:  $1.77      ( 28.35*6.25)

Total:               $35.79

Answer:

$35.79

Step-by-step explanation:

28.35(0.2 tip)

=5.67

28.35(0.0625 tax)

=1.77

$28.35 + $5.67 tip + $1.77 tax

=$35.79

Hope this helps

please mark me brainliest it would help(✿◠‿◠)

Answer:

Explanation:

1. Calculate the average speed of train B

2. Build a table

When the two trains meet:

Train     Average speed     Distance       time (distance/average speed)

                 mph                            

A                 60                             x                        x/60

B                 80                        240 - x                (240 - x) / 80

3. Write the equation

The time, when the two trains meet, is the same for both trains:

                  [tex]\dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles[/tex]

4. Calculate the time:

The two trains will meet after 1.7 hours

Answer:

1.7

Step-by-step explanation:

Answer: 4.8 miles

Step-by-step explanation:

6/55 = x/44

55x = 6(44)

55x = 264

x = 264/55 = 4.8 miles

Final answer:

To find the interest and maturity value of each loan, we can use the formula. For State Savings and Loans, the interest is $50.23 and the maturity value is $2,650.23. For Security Bank, the interest is $53.36 and the maturity value is $2,653.36. They should borrow the money from State Savings and Loans as it offers a lower interest rate and a slightly lower maturity value.

Explanation:

To find the interest and maturity value of each loan, we can use the formula:

Interest = Principal * Rate * Time

Maturity Value = Principal + Interest

(a) For State Savings and Loan, the interest is calculated as:

Interest = $2,600 * 0.0725 * (90/365) = $50.23

The maturity value is:

Maturity Value = $2,600 + $50.23 = $2,650.23

For Security Bank, the interest is calculated as:

Interest = $2,600 * 0.075 * (90/365) = $53.36

The maturity value is:

Maturity Value = $2,600 + $53.36 = $2,653.36

(b) The maturity value of each loan is $2,650.23 for State Savings and Loan and $2,653.36 for Security Bank.

(c) If the loan has ordinary interest, the maturity value is the same as in part (b) for each loan.

(d) If the loan has exact interest, the maturity value is the same as in part (b) for each loan.

(e) They should borrow the money from State Savings and Loan as it offers a lower interest rate and a slightly lower maturity value.

Answer:

1 team with 4 extra people

Step-by-step explanation:

Final answer:

126 different teams can be formed from a group of 9 players.

Explanation:

To determine how many different teams containing 5 members each can be formed from a group of 9 players, we use the concept of combinations in mathematics.

The number of combinations is given by the formula for n choose r (nCr), which is n! / (r! * (n-r)!),

where

n is the total number of items to choose from,

r is the number of items to be chosen, and

! denotes factorial.

In this case, n=9 and r=5.

Thus, using the combinations formula, we get:

9C5 = 9! / (5! * (9-5)!)

       = 9! / (5! * 4!)

       = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)

       = 126 different teams.

Therefore, 126 different teams can be formed from a group of 9 players.

Answer:

450

Step-by-step explanation:

Answer:

may I have the next dents?

Step-by-step explanation:

The question refers to a potential joke or riddle involving boy and girl bumper cars. The precise answer isn't clear without additional context, but an example of a joke incorporating cars is provided.

The question asked, 'What did the boy bumper car say to the girl bumper car', appears to be a joke or riddle. It is ambiguous without a specific punchline directly related to educational material. However, if this is in reference to a literary work, there's a chance we could interpret the question more effectively. An example answer might be: 'Excuse me, are you a parking ticket? Because you've got FINE written all over you!'. That is an example of a typical joke that includes automobiles, although it's important to remember that humor can be subjective.

https://brainly.com/question/33509840

#SPJ3

Answer:

0.143

Step-by-step explanation:

From counting principle, we can say that:

There are 7! ways of the 7 people to arrive first. Any one of them can come first. But, what is the probability that Xerxes with arrive first?

We take that Xerxes is the first one to arrive, then from the 7 - 1 = 6 remaining people, they can arrive in 6! ways. So

Probability Xerxes arrives first = 6!/7! = 0.1429

Rounding to 3 decimal places, it will be:

Probability Xerxes arrives first = 0.143

Answer:

The roots would be -4 and 2.

Step-by-step explanation:

Roots are always going to be where the graph crosses the x axis.  In this case, the graph crosses the x axis at -4 and 2.

Hence, the roots are -4 and 2.

Answer:

54 in cubed.

Step-by-step explanation:

Area of the base trapezoid 18 inches. Times the height of the prism so 3. So 18 times 3 is 54, Hope this helps!

Answer: I believe that the answer is y=4x

Step-by-step explanation: y=4*4.5= 18

y=4*8.5= 34 I hope I explained it well.

Final answer:

The excluded values for the fraction are t = -3/2 and t = 3/2, which are obtained by factoring the denominator as a difference of squares and setting each factor equal to zero.

Explanation:

The question involves determining the excluded values for the fraction 7t2 − 14t over 4t2 − 9. Excluded values are values of t that would make the denominator equal to zero, since division by zero is undefined in mathematics. To identify the excluded values, we must factor the denominator and then set it to zero and solve for t, to see for which values the fraction is undefined.

First, notice that the denominator is a difference of squares, which factors as follows:

Next, we set each factor of the denominator equal to zero to find the excluded values:

Therefore, the excluded values are t = -3/2 and t = 3/2.

The excluded values for the fraction are t = -3/2 and t = 3/2, which are obtained by factoring the denominator as a difference of squares and setting each factor equal to zero.

The question involves determining the excluded values for the fraction 7t2 − 14t over 4t2 − 9. Excluded values are values of t that would make the denominator equal to zero, since division by zero is undefined in mathematics. To identify the excluded values, we must factor the denominator and then set it to zero and solve for t, to see for which values the fraction is undefined.

First, notice that the denominator is a difference of squares, which factors as follows:

4t2 − 9 = (2t + 3)(2t - 3)

Next, we set each factor of the denominator equal to zero to find the excluded values:

2t + 3 = 0, which yields t = -3/2

2t - 3 = 0, which yields t = 3/2

Therefore, the excluded values are t = -3/2 and t = 3/2.

the probability of 17-year-old girl in the US that are between 58.4 inches and 69.6 inches is 0.9544 .

Step-by-step explanation:

Step 1: Sketch the curve.

The probability that 58.4<X<69.6 is equal to the blue area under the curve.

Step 2:

Since μ=64 and σ=2.8 we have:

P ( 58.4<X<69.6 ) = P ( 58.4−64 < X−μ < 69.6−64 )=P ( 58.4−64/2.8 <  X−μ/σ< 69.6−64/2.8)

Since Z = x−μ/σ , 58.4−64/2.8=−2 and 69.6−64/2.8=2 we have:

P ( 58.4<X<69.6 )=P ( −2<Z<2 )

Step 3: Use the standard normal table to conclude that:

P ( −2<Z<2 )=0.9544

Therefore, the probability of 17-year-old girl in the US that are between 58.4 inches and 69.6 inches is 0.9544 .

Answer:

the 1 left 3 up one is the 3rd one first row

the 1 left and 3 down is the 2nd one first row

the 3 right and 3 down is the 1st one first row

mark branliest if possible thanks

Answer:

13 feet= 4.33333 yards

Step-by-step explanation:

Answer:

4 yards and 1 foot

Step-by-step explanation:

I yard is 3 feet. 13 divided by 3 is 4 with the remainder of one foot.

Answer:

Thats pretty neat

Step-by-step explanation:

Life

Answer:Rectangle NOSR is similar to LOSP.

Step-by-step explanation: The length of the sides are similar. (18 * 2/3 = 12, 12 * 2/3 = 8)

Answer:

down below

Step-by-step explanation:

Point Form:

(−1,−2)

Equation Form:

x=−1,y=−2

Answer:

(- 1; - 2)

Step-by-step explanation:

y = 6 + 8x

2x -3y = 4

2x - 3(6 + 8x) = 4

x = - 1

y = 6 + 8 × (- 1)

y = - 2

(- 1; - 2)

Answer:

£10

Step-by-step explanation:

Divide the amount Brian gets by 5 to find the value of one part of the ratio.

£50 ÷ 5 = £10 ← value of 1 part of the ratio

Colin gets 1 part of the ratio, that is £10

Answer:

D

Step-by-step explanation:

I tried a it's not right sorry bro

Laurie is not correct because, the 3 bags of topsoil is less than 40 pounds. The correct option is - D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.

From the question, we are to determine if Larie is correct or not

From the given information,

Laurie needs at least 40 pounds of topsoil.

Then,

If she buys 3 bags of topsoil that weigh 200 ounces each, she will get 600 ounces of topsoil.

Now, convert 600 ounces to pounds

NOTE: 16 ounces = 1 pound

Then,

600 ounces = (600/16) pounds

600 ounces = 37.5 pounds

Hence, the 3 bags of topsoil will weigh 37.5 pounds of topsoil.

Since, Laurie needs at least 40 pounds of topsoil, then Laurie is not correct because, the 3 bags of topsoil is less than 40 pounds. The correct option is - D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.

Learn more on Weight & Conversion here: https://brainly.com/question/11307613

Answer:

The IQR is a better measure of spread for dance competitions than for badminton games.

Step-by-step explanation:

I understand from "Dance Competition box plot has interquartile ranges approximately between 60 and 130" that quartile 1 is at 60 and quartile 3 is at 130, then, the interquartile range (IQR) is 130 - 60 = 70.

Similarly, from Badminton box plot, quartile 1 is at 90 and quartile 3 is at 150, then, the interquartile range is 150 - 90 = 60.

IQR is a measure of statistical dispersion, that is, as IQR increase, spread increase.

The statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.

Recall:

Since the data is plotted on a box plot, IQR can easily be gotten which is a measure of spread.

Therefore, the statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.

Learn more about interquartile range on:

https://brainly.com/question/9386254

well 60/5=12

so you get $12 per yard

12*15=180

or you could notice that 5 goes into 15 3 times and then multiply 60*3 any way the answer is 180

You would earn $180 if you did 15 yards