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Answer:

Total number of orders = 77,520

Step-by-step explanation:

Given:

Number of students on team = 20

Number of students on the starting line =9

Find:

Total number of orders

Computation:

Total number of orders = 20! / [20 - 7]!(7!)

Total number of orders = 20! / [13]!(7!)

Total number of orders = [20 x 19 x 18 x 17 x 16 x 15 x 14] / [7 x 6 x 5 x 4 x 3 x 2 x 1]

Total number of orders = 77,520

The number of different ways that the list can be written will be 167,960.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper.

The number of different ways that the list can be written will be

²⁰C₉ = 20! / [(20 - 9)! x 9!]

²⁰C₉ = 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11! / (11! x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)

²⁰C₉ = 167,960

The number of different ways that the list can be written will be 167,960.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

Answer:

Y=6000-400x

Step-by-step explanation:

Y=6000-400x where 6000 is beginning total, x represents how many months have passed, and 400x reduces the total by 400 for x number of months.

Answer:

x = 8

Step-by-step explanation:

The product of the length of the exterior segment of a secant and the length of the secant is equal to the correpsonding operation with the other secant.

9(9 + 11) = 10(10 + x)

180 = 100 + 10x

10x = 80

x = 8

Answer:

Explanation:

Hey there!

Here;

f(X) = x²

and g(X) = X+1

To find: gof (2) and fog (2)

For gof (2),

gof = g{f(X)}

= g (x²)

= x²+1

Then;

gof(2) = 2²+1

= 4+1

= 5

Therefore, gof (2) is 5.

For fog(2),

fog (X) = f{g(X)}

= f(X+1)

= (x+1)²

= x²+2x+1

= x²+2x +1

Then;

fog(2) = 2²+2*2+1

= 4+4+1

= 9

Therefore, fog(2) = 9.

Hope it helps!

Answer:

3 yards^2

Step-by-step explanation: Area of a rectangle=Length*Width. 6 yards*0.5 yards=3 yards^2

Step-by-step explanation:

[tex]8 log_{5}( {x}^{5} ) = 8 \times 5 log_{5}(x) \\ = 40 log_{5}(x) [/tex]

Answer:

The percentage discount for the cost of the guitar is 45%.

Step-by-step explanation:

First let's find the difference between the original price and the new price.

80 - 44 = 36

So the actual discount got the price down by $36.

To find the percentage discount we need to ask ourselves the question

36 is what percent of 80?

36 = X percent of 80

In math, of means multiply.

36 = X percent * 80

So to get the "X percent" part alone we divide by 80 on both sides.

36 divided by 80 = 0.45

36 is 45 percent of 80.

The percentage discount for the cost of the guitar is 45%.

Answer:

below

Step-by-step explanation:

that is the procedure above

Answer:

Find the volume of this prism.

Answer:

A: (x-5.5)^2 + (y-4)^2=12.25

Step-by-step explanation:

Answer:

Three non-co-linear points determine a circle. Three non-co-linear points determine a triangle only if you assume that each pair of these points determines a line which is a side of the triangle. Then, the three points will be the vertices of the triangle.

If you do not have this constraint, so that each line that forms a side of the triangle need pass through only one of the three points, then the three points will not determine a particular triangle

ANSWER

Step-by-step explanation:

DEGREE =2

Answer:

The value of "h" = 32 unit

Step-by-step explanation:

Given:

In given parallelogram

Height for base 36 = 24

Height for base 27 = h

Find:

The value of "h"

Computation:

Area of parallelogram = Base x Height

For base 36

Area of parallelogram = 36 x 24

Area of parallelogram = 864 unit²

For base 27

Area of parallelogram = 27 x h

864 = 27 x h

The value of "h" = 864 / 27

The value of "h" = 32 unit

Answer:

18 ft

Step-by-step explanation:

Similar triangles are proportional

Ratio of vertical legs  = Ratio of base legs

x/6 = 12/4

multiply both sides by

x = 12/4 * 6

x = 18 ft

hola quien habla español bueno ya no Adios :)

Answer:

C.(B and D

Step-by-step explanation:

=====================================================

Explanation:

We'll involve the nCr combination formula here. This is because order doesn't matter.

There are n = 13 diamonds and we want to select exactly r = 3 of them.

So,

[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{13} C _{3} = \frac{13!}{3!*(13-3)!}\\\\_{13} C _{3} = \frac{13!}{3!*10!}\\\\_{13} C _{3} = \frac{13*12*11*10!}{3!*10!}\\\\_{13} C _{3} = \frac{13*12*11}{3!}\\\\_{13} C _{3} = \frac{13*12*11}{3*2*1}\\\\_{13} C _{3} = \frac{1716}{6}\\\\_{13} C _{3} = 286\\\\[/tex]

There are 286 ways to pick the three diamond cards. Then there are 52-13 = 39 ways to pick the fourth card that is either a spade, club of heart.

So we have 286*39 = 11,154 ways to pick the four cards given the conditions your teacher set.

This is out of 52C4 = 270,725 ways to pick four cards (use the nCr formula above with n = 52 and r = 4).

Divide the two values to get the answer:

(11,154)/(270,725) = 0.04120048019208

that rounds to 0.04 which converts to 4%

So there's roughly a 4% chance of getting exactly 3 diamond cards.

Answer:

4% (four percent)

Complete Question

David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually.how many stores does the restaurant operate in 2020?

Answer:

[tex]N_{11} \approx 749[/tex]

Step-by-step explanation:

From the question we are told that:

Number of Fast Food Restaurants [tex]P=200[/tex]

Number of years [tex]t=11yrs[/tex]

Rate [tex]r=12%[/tex]

Generally the equation for the Number of restaurant in operation in 2020 is mathematically given by

 [tex]N(t)=Pe^{rt}[/tex]

Therefore

For t=11

 [tex]N_{11}=200*e^{0.12*11}[/tex]

 [tex]N_{11}=748.7[/tex]

 [tex]N_{11} \approx 749[/tex]

Answer:

Step-by-step explanation:

The function f(w) is the difference of c(w) and a(w):

Correct choice is C

Answer:

23.33%

Step-by-step explanation:

Let

x = percentage

Base = 30

Amount = 7

x% of 30 = 7

x/100 * 30 = 7

(x*30) / 100 = 7

30x / 100 = 7

Cross product

30x = 100 * 7

30x = 700

x = 700/30

x = 23.333333333333

Approximately,

x = 23.33%

28.7cm²

The sketch of the parallelogram is attached to this response.

As shown in the sketch,

h is the height of the parallelogram

ADC is 125°

AD = 5cm

CD = 7cm

Also

Since the adjacent angles of a parallelogram are supplementary (add up to 180°), it means that;

=> ADC + BCD = 180°

=> 125° + BCD = 180°

=> BCD = 180° - 125°

=> BCD = 55°

The area (A) of a parallelogram is given by;

A = b x h            ----------(i)

Where

b = base of the parallelogram

h = height of the parallelogram

From the sketch,

b = CD = 7cm

h can be found by using the sine trigonometric function as follows

sin BCD = [tex]\frac{h}{BC}[/tex]

=> sin 55° = [tex]\frac{h}{5}[/tex]

=> h = 5 sin 55°

=> h = 5 x 0.8192

=> h = 4.096cm

Now, substitute the values of h and b into equation (i) as follows;

A = 7 x 4.096

A = 28.672

A ≅ 28.7 (to one decimal place)

Therefore, the area of the parallelogram is 28.7cm²

Answer:

The minimum number of faces a polyhedron can have is 4 faces.

Step-by-step explanation:

We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).

Answer:

Record speed of Usain Bolt in yards per second = 11.42 Yards (Approx.)

Step-by-step explanation:

Given:

Record speed of Usain Bolt = 100 meter in 9.58 second

1 meter = 1.094 yards

Find:

Record speed of Usain Bolt in yards per second

Computation:

Record speed of Usain Bolt = 100 meter in 9.58 second

1 meter = 1.094 yards

100 meter = 1.094 × 100 yards

100 meter = 109.4 yards

Record speed of Usain Bolt in yards per second = 109.4 / 9.58

Record speed of Usain Bolt in yards per second = 11.4196

Record speed of Usain Bolt in yards per second = 11.42 Yards (Approx.)

Answer:

y=3-b linear function

Step-by-step explanation:

Answer: 16

Step-by-step explanation: 6400 : 400 = 16

Answer:

basically the opposite

Step-by-step explanation:

its inverted therefore find out how to get c b a and boom

Answer:37.68

Step-by-step explanation:

Do yk the anwser to my question?

Answer:

5/6

Step-by-step explanation:

5/6=0.84, 8/10= 0.8

Answer:

You would approximate because the hypotenuse might not be a perfect square.

Step-by-step explanation: