Priscilla is on her school’s swim team. Her coach has noted the number of laps Priscilla and five of her teammates can swim without stopping: 5, 4, 6, 3, 7, 5. Help Priscilla summarize this data.

Answer:45

Step-by-step explanation:

V=a2h

3=62·3.75

3=45

Answer:

(a) 3003 ways

(b) 10897286400 ways

(c) 3002 ways

Step-by-step explanation:

Given

[tex]n = 15[/tex] --- 15 players

Solving (a) Ways of selecting 10 players.

This implies combination.

So, we have:

[tex]r=10[/tex]

Using:

[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]

We have:

[tex]^{15}C_{10} = \frac{15!}{(15-10)!10!}[/tex]

[tex]^{15}C_{10} = \frac{15!}{5!10!}[/tex]

Simplify

[tex]^{15}C_{10} = \frac{15*14*13*12*11*10!}{5!10!}[/tex]

[tex]^{15}C_{10} = \frac{15*14*13*12*11}{5!}[/tex]

[tex]^{15}C_{10} = \frac{15*14*13*12*11}{5*4*3*2*1}[/tex]

[tex]^{15}C_{10} = \frac{360360}{120}[/tex]

[tex]^{15}C_{10} = 3003[/tex]

Solving (b) Ways of assigning positions to 10 players.

This implies permutation.

So, we have:

[tex]r=10[/tex]

Using:

[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]

We have:

[tex]^{15}P_{10} = \frac{15!}{(15-10)!}[/tex]

[tex]^{15}P_{10} = \frac{15!}{5!}[/tex]

Solve each factorial

[tex]^{15}P_{10} = \frac{1307674368000}{120}[/tex]

[tex]^{15}P_{10} = 10897286400[/tex]

Solving (c) Ways of choosing at least 1 woman

We have:

[tex]Men = 10[/tex]

[tex]Women = 5[/tex]

Ways of selecting 10 players is: (a) 3003 ways

Since the number of men are 10, there is 1 way of selecting 10 men (i.e. selection without women)

Using complement rule:

At least 1 woman = Total - No woman

[tex]At\ least\ 1\ woman = 3003 - 1[/tex]

[tex]At\ least\ 1\ woman = 3002[/tex]

Answer:

It should be 4.25.

Answer: 15

Step-by-step explanation:

Answer:

Hi! The answer to your question is D. (-3, -20)

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

Answer:

2

Step-by-step explanation:

Answer:

The answer is 2, i did the instruction on edge already.

Step-by-step explanation:

Answer:

n= 18

Step-by-step explanation:

:)

Answer:

18

Step-by-step explanation:

[tex]\frac{2}{3} *n=12\\\frac{2}{3} *n/\frac{2}{3} =12/\frac{2}{3} \\n=18[/tex]

Answer:  78.064 cubic meter

Step-by-step explanation:

volume of a cuboid=length × breadth × height.

                                =5.6*4.1*3.4

                                =78.064 cubic meter

Answer:

720

Step-by-step explanation:

First you divide 600 by 5 to get 1/5 if the 600 which is 120

Then you add the 120 to the 600 which is your answer 720

Answer:

A= x^2   P=4s

Step-by-step explanation:

Area of a square

Perimeter= 4s

Area= (the length of one side) ^2

Answer:

12.5%

Step-by-step explanation:

r = (1/4)((1500/1000) - 1) = 0.125

r = 0.125 = 12.5%

Answer:

As the temperature increases, the number of people at the pool increases.

Part B: I think the line best fit can be one that starts at (0,0), and goes up until (28,12). The approximate slope would be 0.42, and the y-intercept is 0.

SLOPE:

(28,12)

y / x = m

12 / 28 = 0.42

Y-INTERCEPT:

​(0,0)

= 0

Step-by-step explanation:

Answer:

X = 8

Step-by-step explanation:

Kindly check the image below for the relationship between two segments in a circle that intersect

A * B = C * D

This relationship is important to understand when trying to solve for x in this type of problem

Now imagine that A = 15 B = x C = 10 and D = 12

Now we want to create an equation

( Using the relationship )

15 * x = 12 * 10

Now we solve for x using basic algebra

12 * 10 = 120

15x = 120

* divide each side by 15 *

15x/15 = x

120 / 15 = 8

we're left with x = 8

Answer:

a = 0, -10

Step-by-step explanation:

I think this is correct but it may not be.

Answer:

Step-by-step explanation:

a(10+a)=0 or - i cant remember which one it was but hope this helps

Answer:

Step-by-step explanation:It must be an equal ratio- 2:3:7 = n:n:112

Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.

To get from 7 to 112, we must multiply by 16. This is the relationship.

So, we must multiply both, the walnut and raisin cookies by 16 also.

2 x 16 = 32 = Raisin

3 x 16 = 48 = Walnut

Already known: 112 = Pinwheel

Now that we have all the data, we can make the ratio.

Raisin : Walnut : Pinwheel

32 : 48 : 112

Hope this helps! :)

Answer:

E=12t+30 C=7t+75

Evelyn has more in savings than Cooper when  t > 9 weeks.Step-by-step explanation:

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

These right triangles are similar due to the Angle Angle Similarity Theorem.

This means their side lengths are proportional

We need to find the corresponding sides of the inner triangle and full right triangle.

7 corresponds with 7 and 3.5

4 corresponds with x.

Set up proportion.

[tex] \frac{4}{7} = \frac{x}{7 + 3.5} [/tex]

[tex] \frac{4}{7} = \frac{x}{10.5} [/tex]

[tex]42 = 7x[/tex]

[tex]x = 6[/tex]

Answer:

c

Step-by-step explanation:

Is is right?

Answer:

distribute

2(w-1)

a(b-c)=ab-ac

(3)(5)+(2)(w)+(2)(−1)

=15+2w+−2

combine like terms

15+2w+−2

=(2w)+(15+−2)

=

Step-by-step explanation:

https://qcv.gg/rXpglU

Answer:

[tex]9\frac{4}{9}[/tex]

Step-by-step explanation:

Exact from:

[tex]\frac{85}{9}[/tex]

Decimal Form:

9.4

Mixed Number Form:

[tex]9\frac{4}{9}[/tex]

Give me Brainllest

Answer:

9.2722

Step-by-step explanation:

7.400

*1.252

_____

9.2722

Its simple, plz rate 5 str, thx, and brailiest

Answer:

E. 150°

Step-by-step explanation:

By exterior angle theorem:

[tex]x = 40 \degree + (70 - 180) \degree \\ x= 40 \degree + 110 \degree\\ x= 150 \degree[/tex]

The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.

If this doesn’t answer your question, then do you have any further information?

Answer:

Step-by-step explanation:

[tex] \frac{x - 2}{3} = \frac{x + 2}{4} [/tex]

=> 4(x-2) = 3(x+2) [Cross Multiplication]

=> 4x - 8 = 3x + 6

=> 4x - 3x = 8 + 6

=> x = 14 (Ans)

Answer: 1/3.(√3/4)×40×40 ×5√(5

Step-by-step explanation:

Answer:

200 m^3

Step-by-step explanation:

1) find the side of the base

side = 40 : 4 = 10 m

2) find the base area

base area = side^2 = 10^2 = 100 m^2

3) find the Volume

V = (base area x height)/3 = (100 x 6)/3 = 200m^3

9514 1404 393

Answer:

  (b)  1.4"

Step-by-step explanation:

A 2.8" circle is one that has a diameter of 2.8". The divider will be set to the radius, which is half the diameter.

The divider is set to 1.4".

Answer:

The first lower quartile is 15

The median is 25

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

I would chose this because the square will have all sides of 3 since all the sides are the same size it classifies as a square. Then a right triangle looking at the shape you would have left.

A rectangle is a four sided polygon having all the internal angles equal to 90 degrees. The shape given below can be decomposed into two figures, they are rectangle and right triangle. The correct options are A and D.

The trapezium is defined as a quadrilateral with one pair of parallel opposite sides. The parallel sides of a trapezium are called the bases and the non-parallel sides of a trapezium are known as legs. It is also called as the trapezoid.

A trapezium is a closed shape which has four sides and four angles. Anyone pair of opposite sides of a trapezium are parallel to each other. If the legs are of equal length, then it is called the isosceless trapezium.

A triangle in which one of its interior angles is equal to 90 degrees or any one angle is a right angle is the right triangle.

Thus the correct options are A and D.

To know more about trapezium, visit;

https://brainly.com/question/31120646

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