the fastest 3 runners in a race qualify for the next event. how many different groups of Runners could advance to the next event from a race that has seven runners​

Answers

Answer 1

Answer:

35 different groups of 3 runners can be selected

Step-by-step explanation:

Here, we want to simply calculate the number of 3 runners that can advance in a race from a total of 7

What we want to do here is to simply get different groups of 3

So, we have it that we simply want to know the number of different ways we can select 3 from a total of 7

We can simply use combination for this;

We have the general combinatorial as;

nCr = n!/(n-r)!r!

With respect to this particular question, n = 7 and r = 3

So we have;

7C3 = 7!(7-3)!3! = 7!/(4)!3! = 35


Related Questions

What is the slope of a line that passes through the points (12,7) and (-14,19)?
F) -13/6
G) -1
H) -6/13
J) 3​

Answers

Answer:

H) -6/13  

Step-by-step explanation:

To find the slope of the line between a pair of two points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (12,7) and (-14,19) into the formula and simplify like so:  

[tex]m = \frac{(19)-(7)}{(-14)-(12)} \\m =\frac{19-7}{-14-12} \\m = \frac{12}{-26} \\m = -\frac{6}{13}[/tex]

So, Option H is correct.

if u could help me out i would appreciate it

Answers

The y-intercept is y=3

1/3(6z+7.2)=0.5(8z+2)-0.4
A z=0.8
B z=0.9
C z=2.8
D z=3.6
please help

Answers

Answer:

B  z = 0.9

Step-by-step explanation:

1/3(6z + 7.2) = 0.5(8z + 2) - 0.4

Multiply both sides by 6.

12z + 14.4 = 24z + 6 - 2.4

-12z = -10.8

z = 0.9

A.Vertical
B.Adjacent
C.complementary
D.Supplementary
E.none

Answers

Answer:

none or vertical

Step-by-step explanation:

I think sorry if I get that wrong

pls help me my homework is due in a couple hours

Answers

Answer:

I don't know spanish but 25% of 80= 20 and 15% of 35.00 is 5.25

What are the next three terms in the sequence 3, 6, 9, 12, ...?

Answers

Answer:

15, 18, 21

Step-by-step explanation:

I uploaded the answer to a file hosting. Here’s the link: (don’t fall for these)

What is the surface area

Answers

Answer: b

Step-by-step explanation:

B: is your answer!!!!!!!!

Search up:CNN 10 April 9th 2021
Watch the video give me 10 facts

Side note: Please don’t waste my time I have stuff to do

Answers

Answer:

Jeff Bezos, is Amazon's founder, who's one of the richest people in the world.

The federal government won't require everyone to get vaccinated.

The federal government also won't required everyone in america to carry a passport.

New York recently because the first state to have a cov id passport.

Florida banned the co vid passport.

Restraunt owners think its against peoples rights to have a co vid passport, so they won't need them there!

Theatres are requiring a passport for the vaccine, due to wanting to fill the audience.

Heinz makes more ketchup than anyone

12 billions ketchup packets will be made this year from h einz, which is enough to reach the moon and back.

astronauts had a lot of ketchup in space

1 hundred and forty miles per hour is reached on the fasted roller coaster according to genius world records.

Step-by-step explanation:

Hope this helps! Plz mark as brainliest!

Some one help this equation 7 x (3+2) =

Answers

Answer:

35

Step-by-step explanation:

3 + 2 = 5

7 times 5 = 35

the answer would be 35 (:

PLEASE HELPPPPPP URGENT

Answers

Answer:

B

Step-by-step explanation:

CD matches with ST on the shapes.

I need help my mind don’t proses right.! f(x) = x2. What is g(x)?

Answers

Answer:

hey will you join in zo om if your intrested

rename the mixed number as an improper faction

a. 3/5
b. 12/5
c. 2/6
d 7/5

Answers

Answer:

no

Step-by-step explanation:

Can someone please help me?? I have a huge test coming up and I need to review for it. Do you know the answer? If you do, please explain it because i want to be sure the day of the test. Thanks!! 25 Points!!

Answers

Answer:

Easy way is completing a square:

x² + 20x - 39 = 10x² + 2*x*10 + 100 = 49 + 100(x + 10)² = 149x + 10 = ± √149x = - 10 ± √149

Correct choice is J

Subtract 2x2 + 6x – 5 from 7x2 + 3x + 4.

Answers

here’s ur answer:)))

PLEASE I NEED HELP FAST! Suppose RT = 9 in. and ST = 4 in. Is it possible to find the length of TU ? If so, show how to find the length. If not, explain why not

Answers

Answer:

ummm there is no picture showing for me

Step-by-step explanation:

Multiply polynomials

Answers

Step-by-step explanation:

[tex] {x}^{2} \times (3 {x}^{3} + 15) \\3 {x}^{2} + 15 {x}^{2} [/tex]

hope it helps

[tex] \huge \frak \green{question}[/tex]

Multiply the polynomials :-

x² ( 5x³ - 2x³ + 15)

[tex] \huge \frak \green{solution}[/tex]

→ x² ( 5x³ - 2x³ + 15)

→ x² × (3x³ + 15)

→ 3x² + 15x²

This can be further solved as :-

3x² + 15x²

→ 18x²

[tex] \huge \frak \red{answer}[/tex]

18x²

HELP ME giving brainlest

Answers

Answer:

The answer is false.

Step-by-step explanation:

THE reason why it is false is because if so that wouldnt make any sense.

solve the equation to find the value of x:

2x=5

Answers

Answer = 2.5
5 divided by 2 is 2.5

The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.' a) What are the mean and standard deviation of the number of universal donors among the 6 people? b) What is the probability that there are exactly three universal donors?

Answers

Answer:

[tex]Mean = 0.36[/tex]

[tex]SD = 0.5817[/tex]

[tex]P(x=3) = 0.003588[/tex]

Step-by-step explanation:

Given

Let

A = Event of being a universal donor.

So:

[tex]P(A) = 0.06[/tex]

[tex]n = 6[/tex]

Solving (a): Mean and Standard deviation.

The mean is:

[tex]Mean = np[/tex]

[tex]Mean = 6 * 0.06[/tex]

[tex]Mean = 0.36[/tex]

The standard deviation is:

[tex]SD = \sqrt{np(1-p)}[/tex]

[tex]SD = \sqrt{6*0.06*(1-0.06)}[/tex]

[tex]SD = \sqrt{0.3384}[/tex]

[tex]SD = 0.5817[/tex]

Solving (b): P(x = 3)

The event is a binomial event an dthe probability is calculated as:

[tex]P(x) = ^nC_x * p^x * (1-p)^{n-x}[/tex]

So, we have:

[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^{6-3}[/tex]

[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^3[/tex]

[tex]P(x=3) = 20 * 0.06^3 * (1-0.06)^3[/tex]

[tex]P(x=3) = 0.003588[/tex]

The 5th graders want to raise money for their overnight camping trip by selling cornbread during the school Chili Cook-Off contest. All the pans of cornbread are square. A pan of cornbread costs $12. The customers can buy any fractional part of a pan of cornbread and pay that fraction of $12. For example, ½ of a full pan costs ½ of $12.

Answers

Answer:

1 / 12 ; $1

Step-by-step explanation:

Pan was 1/4 full and she buys 1/3 of the cornbread in the pan

The fraction of cornbread she buys is :

1/3 of 1/4

1/3 * 1/4 = 1/12

Hence, she bought 1/12 of cornbread

The amount she pays :

Cost of 1 pan = $12

Therefore, the cost of 1/12 of a pan will be :

1/12 * $12 = $1

Hence, she'll pay $1

find the area of the figure drawn on the coordinate plane below​

Answers

Answer:

-24

Step-by-step explanation:

Based on a random sample of 500 people, 45 reported they have more than one
dog. Based on these results, how many out of 1,200 people would you expect to
have more than one dog?
A
1,008
B
60
С
165
D
108

Answers

Answer:

I’m guessing 108 or 165

Step-by-step explanation:

because if 45/500 if you double that it would be 90/1000. after 200 is about half of 500 so 45 divided by 2 is 22.5. yeah i’m like no help sorry

Jon makes a map of his neighborhood for a presentation. The scale of his map is 1inch:250 feet, How many feet do 6.5 inches represent on the map?

A. 1650 feet
B. 1625 feet
C. 1605 feet
D. 1590 feet

Answers

B 1625

250×6.5 equals B

Evaluate.
25/5+7-(4x3)

Answers

Using PEMDAS, we know that we must solve what’s in the perentheses first so: 25/5 + 7 - (4x3) = 25/5 + 7-12. Next, we simplify 25/5 because that is division so now it is 5+7-12. Now you add 7 to 5 to get 12 and then subtract 12 so your answer is now zero.

A worker earns $9 per hour and works 25 hours each week. If the worker receives a 3% pay increase, how much additional pay will the worker earn each week?

Answers

Answer: $6.75

Step-by-step explanation:

25 hours times $9= $225/week

3% increase from $9.00= $0.27

$9.27 times 25 hours= $231.75

$231.75-$225= $6.75 more per week

Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the length of H J is x + 3, and the length of J E is x minus 1.
If H is the midpoint of GE and J is the midpoint of FE, determine the following lengths.

HJ =

JE =

Answers

Answer:

HJ = 8  JE = 4

Step-by-step explanation:

it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.

HJ= 1/2 (GF)

x + 3 = 1/2 (4x - 4)

x + 3 = 2x - 2

x = 5

^ Thus meaning the value of x is 5.

Now you just fill into your equations:

HJ = x + 3 = (5)  + 3 = 8

JE = x - 1 = (5) - 1 = 4

Therefore, HJ = 8; JE = 4.

Answer:

HJ = 8

JE = 4

Step-by-step explanation:

Your welcome.

helpppppppppppppppppppppppppppppppppp please!

Answers

Answer:

Answer: 7u - 63

Step-by-step explanation:

If the terms are different, and they are in this case, then the answer must be 2 terms separated by a minus sign.So write the minus sign first.    - Now 7 * u = 7u7 * 9 = 63Put the 7u on the left side of the minus.Put the 63 on the right side.7u - 63

a pizza has a radius of 2.5 feet what is the circumference of the pizza

Answers

Should be 5pie formula for circumference of a circle is 2 pie R so we just plus in 2.5 for the radias.

Camila owns a car worth $5,900 and owes $2,800 on the car loan. She has $1,600 in her bank account and $5,210 in a savings account. She has a balance of $1,400 on her credit card. What is her net worth?

Answers

Answer:

[tex]Net\ Worth=11310[/tex]

Step-by-step explanation:

From the question we are told that:

Car worth [tex]C=5900\$[/tex]

Car Loan[tex]L=2800\$[/tex]

Bank account [tex]B= 1600\%[/tex]

Savings account [tex]S=5210\&[/tex]

Credit card [tex]CC=1400\%[/tex]

Generally Net worth is the value of the assets a person or corporation owns, minus the liabilities they owe.

Therefore

[tex]Net\ Worth=Asset-Liability\\\\Net\ Worth=Car worth+Bank account+Savings account +Credit card-Car Loan\\\\Net\ Worth=5900+1600+5210+1400-2800[/tex]

[tex]Net\ Worth=11310[/tex]

Answer:

6tvuyrfrd

Step-by-step explanation:

estimate the perimeter of the figure

Answers

Answer:

around 18 units

Step-by-step explanation:

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