Which data values are outliers?
71, 96, 110, 112, 114, 114, 121, 127, 135, 175, 180

Four years ago average age of A , B & C was 25 years.

A's present age

Let the ages of A , B , C be A , B , C years.

We know that,

Average = Sum of observations/Number of observations.

Here,

Sum of observations = A - 4 + B - 4 + C - 4 = (A + B + C - 12) years.

Number of observations = 3.

So, (A + B + C - 12)/3 = 25

⟹ A + B + C - 12 = 3 * 25

⟹ A + B + C = 75 + 12

⟹ A + B + C = 87 -- equation (1)

Also given that,

Average age of B & C before 5 years was 20 years.

⟹ (B - 5 + C - 5)/2 = 20

⟹ B + C - 10 = 2 * 20

⟹ B + C = 40 + 10

⟹ B + C = 50 -- equation (2)

Subtract equation (2) from equation (1).

⟹ A + B + C - (B + C) = 87 - 50

⟹ A + B + C - B - C = 37

⟹ A = 37 years

∴ A's present age is 37 years.

I hope it will help you.

Regards.

Answer:

→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]

→ 4md - 2nd = 2 * [ a + (n - 1)d ]

→ 2(2md - nd) = 2 * (a + nd - d)

→ 2md - nd - a + d = nd

→ 2md - nd - (md - 2nd) + d = nd

[ From equation (1) ]

→ 2md - nd - md + 2nd + d = nd

→ md + nd + d = nd

→ (m + n + 1)d = n * d

→ (m + n + 1) = n

Step-by-step explanation:

Answer:

the room square side is 4.8m

Area of the room is= 4.8=²23.04²m

perimeter of square tiles=4a =1.2

a=1.2/4

or a=o.3m

area of the square tiles =0.3²=0.09m²

numbers of the tiles are rcover floor of the room

23.0.4/0.09=256

each tiles cost Rs 27

the total cost=256*27=6912

the th coalst cover by the th floor is Rs .6912

Answer:

2 : 3

Step-by-step explanation:

We have 4 squares and 6 circles. We would like the ratio of squares to circles, so we divide 4 by 6:

4 / 6  ⇒  the ratio here would be 4 : 6

We need to simplify this. Notice that both 4 and 6 are divisible by 2. So, we can divide both by 2:

4/2 : 6/2  ⇒  2 : 3

2 and 3 don't share any factors other than 1, so we leave the ratio like this.

The answer is thus 2 : 3.

~ an aesthetics lover

Answer:D

Step-by-step explanation:

$120.65 is the new price of the coat.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

A department store purchases a coat for $95

To sell the coat to customers, the price is increased by 27%

So, the new price of the coat = $95+ $95*27%

                                                 =$120.65

Hence, $120.65 is the new price of the coat.

To learn more on multiplication click:

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Answer:

A

Step-by-step explanation:

I took the test

Answer:

It will have a y-intercept of -3 and a rise of 2 and a run of 1.

Step-by-step explanation:

We can use a graphing calculator to help us graph for y = 2x - 3.

Attached below is the graph.

Answer:

72

Step-by-step explanation:

 152

-  80

  72

Bring down the 2. Then make the 5 a 15 from taking away from the 1 making that a zero. Then Subtract 8 from 15 that makes 7. So it is 72.

Answer:

[tex]t=\frac{5}{8}s[/tex] and [tex]s(\frac{5}{8})=\frac{37}{4}ft[/tex]

Step-by-step explanation:

There are different approaches you can take to solve this problem. You can look at it from the geometric approach or the calculus approach. I will us the geometric approach.

When we analyze the given function for the height of the ball:

[tex]s(t)=-16t^2+20t+3[/tex]

we can see that we are dealing with a quadratic function. This means that the graph will be an inverted parabola, just like the one in the attached picture.

so the idea is to find the vertex of the parabola to find the highest the ball gets to be and the time it gets to be at that height.

In order to do so, we can use the vertex formula, which looks like this:

[tex]t=-\frac{b}{2a}[/tex]

this is use when you have a function with the form:

[tex]f(x)=ax^2+bx+c[/tex]

in this case:

a=-16, b=20 and c=3, so the formula then turns to:

[tex]t=-\frac{20}{2(-16)}[/tex]

which yields:

[tex]t=\frac{5}{8} s[/tex]

which is our first answer. So we can then use this to find the maximum height of the ball, just by substituting t into the original function:

[tex]s(\frac{5}{8})=-16(\frac{5}{8})^2+20(\frac{5}{8})+3[/tex]

which yields:

[tex]s(\frac{5}{8})=\frac{37}{4} ft[/tex]

which is our second answer.

Answer:

-1

Step-by-step explanation:

Complete y2 - y1 over x2 - x1 with your given points:

-2 - 5     =        -7

_____          ____

3 - (-4)    =        7

= ⁻⁷⁄₇ = -1   Simplify to lowest term

Answer:

m = -7/2

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1.    0 < √8 = true

2.   √8 < 3 = true

3.   √8 > √7 = true

4.   √8 < 2 = false

5.   √8 > 8 = false

6.    1 < √8 = true

Inequalities help us to compare two unequal expressions. The inequalities that are true are 1, 2, 3 and 6.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The value of √8 is equal to 2.828427, therefore, the inequalities that are true are,

Hence, the inequalities that are true are 1, 2, 3 and 6.

Learn more about Inequality:

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Answer:

=12n3+17n+16

i hope this helps :)

Answer:

44 i believe

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

:)

Answer:

42 muffins

Step-by-step explanation:

In order to find the answer, you would divide 35 by 5/6 which would equal 42. So you started with 42 muffins.

Hope this helps and pls do mark me brainliest if you can:)

Answer:

see below

Step-by-step explanation:

y = -5x– 1

y = -5x + 7

Since they are both equal to y, we can set them equal to each other

-5x-1 = -5x+7

Add 5x to each side

-5x-1+5x= -5x+7+5x

-1 = 7

This is not true so there is no solution

The lines are parallel with different y intercepts

Answer:

13.

Step-by-step explanation:

65-52=13

Answer:

[tex]Cost = 1 + 0.25y[/tex]

[tex]Cost =3.25[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = \$ 1[/tex]

[tex]Additional = 25cents[/tex] of child's age

Solving (1):

Determine the cost function.

Represent the years as y.

So, we have:

[tex]Additional = 25cents[/tex] * y

Convert 25 cents to dollars.

[tex]25 cents = 25 * \$0.01[/tex]

[tex]25 cents = \$0.25[/tex]

So, we have:

[tex]Additional = \$0.25 * y[/tex]

The cost amount is then:

[tex]Cost = Base\ Amount + Additional[/tex]

[tex]Cost = 1 + 0.25y[/tex] --- This is the cost function

Solving (b): Cost of 9 years old.

In this case;

[tex]y = 9[/tex]

Substitute 9 for y in [tex]Cost = 1 + 0.25y[/tex]

[tex]Cost =1 + 0.25 * 9[/tex]

[tex]Cost =1 + 2.25[/tex]

[tex]Cost =3.25[/tex] --- This is the cost for a child of 9

Answer:

1+0.25y, 2.25

Step-by-step explanation:

You would express the added 25 cents times the age of the child since the age is represented by the variable y, you would put 0.25y

then to find what the cost is for a nine year old you would multiply 9 by 25 and at the end of multiplying you would move the decimal from zero two times to the left. In case you don't understand how you could move the decimal from zero, there is always a decimal to the right of a whole number where the number ends its just not seen because there is no decimal in the number to represent. The decimal would still be there just it would be invisible but it becomes visible when there is a decimal number to represent.

hope this helps someone, keera

Equations: 60x + 3000 = 3,000, 600 + 150y = 3000

X: 20

Y: 10

You should solve for x & y

Q1: 0, it's already filled up to the max of 3000 pounds.

Q2: 16, 60 times 10 is 600. 3000-600 = 2400. 2400/150 = 16

I hope this helped, ask if you need more help :)

Answer: 3,486,784,401

Step-by-step explanation:

9 raised to the 11th power is 31,381,059,609

Then divide that by 9 to get 3,486,784,401

Answer:

B).  $38,821

Step-by-step explanation:

By using several of the known mathematical formulas, and what is given to us at the very bottom (and top) of the answer, we can see that the correct answer is  

$38,821

on e2020

The total amount that Valerie will pay for her new car is $35,899.87.

We can use an online finance calculator to compute the total amount that Valerie will pay for her new car as follows:

Auto Price = $32,495

Loan Term = 60 months (12 x 5)

Interest Rate = 8.64%

Down Payment = $1,877

Trade-in Value = $28,433 ($32,495 x 87.5%)

Sales Tax = 8.23%

Title, Registration and Other Fees = $2,557 ($2,243 + $314)

Calculate

Monthly Pay: = $44.98

Total Loan Amount = $2,185.00

Sale Tax = $334.30

Upfront Payment = $4,768.30

Total of 60 Loan Payments = $2,698.57

Total Loan Interest = $513.57

Total Cost (price, interest, tax, fees) = $35,899.87

Thus, the total amount that Valerie will pay for her new car is $35,899.87.

Learn more about financing a car purchase at https://brainly.com/question/20566521

Answer:

the picture is blurry is it only like that for me?

Answer:

y=3.54m

Step-by-step explanation:

i already answered it

Given :

A ticket to see your favorite baseball team costs ​$30.08.

That price decreases by ​$0.42 for every game lost during the regular season.

To Find :

What equation could you use to find the cost C of a ticket after L​ losses.

Solution :

Let, n is number of match loses and P is the price of ticket.

So, equation is given by :

P = 30.08 - (0.42)n           .......1)

Putting n = 27 in above equation,we get :

P = 30.08 - ( 0.42 )( 27 )

P = $18.74

Therefore, the price of a ticket after the team loses 27 ​games is $18.74 .

Hence, this is the required solution.

Answer:

you type 75 words per minute.

Step-by-step explanation:

since there are 60 minutes in an hour, simply divide 4,500 by 60 to get 75. i hope this helps you! good luck and have a great day. :)

See attachment for math work and answer.