PLEASE HELP!! What is the probability that the top three finishers in the contest will all be seniors?
Answers
Using the hypergeometric distribution, it is found that there is a 0.1538 = 15.38% probability that the top three finishers in the contest will all be seniors.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem:
There are 14 players in total, hence N = 14.Eight are seniors, hence k = 8.Three will be taken from the sample, hence n = 3.The probability that all of them are seniors is P(X = 3), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,14,3,8) = \frac{C_{8,3}C_{6,0}}{C_{14,3}} = 0.1538[/tex]
0.1538 = 15.38% probability that the top three finishers in the contest will all be seniors.
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Related Questions
will give brainliest look at pitcure
Answers
Answer:
x = 90°
Step-by-step explanation:
From the meaning of figure
30² + 2x° + (2x - 30)° = 360°
4x° = 360°
x = 90°
HOPE THIS HELPS AND HAVE A NICE DAY <3
Find the surface area of the rectangular prism
Answers
Answer:
126 mi²
Step-by-step explanation:
Surface Area of a Rectangular Prism :
SA = 2(bh + lh + lb)SA = 2(3 × 5 + 6 × 5 + 6 × 3)SA = 2(15 + 30 + 18)SA = 2(63)SA = 126 mi²Solve 10(0j + 4j + 40)
Answers
Hey there!
10(0j + 4j + 40)
DISTRIBUTE 10 WITHIN the PARENTHESES
= 10(0j) + 10(4j) + 10(40)
= 0j + 40j + 400
COMBINE the LIKE TERMS
= (0j + 40j) + (400)
= 0j + 40j + 400
= 40j + 400
Therefore, the answer should be:
40j + 400
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex]\boxed{40j + 400}[/tex]
Step-by-step explanation:
Given expression:
[tex]10(0j + 4j + 40)[/tex]
Since the expression inside the parentheses can be simplified, it is suggested to simplify the expression, inside the parentheses, first.
[tex]\implies10[j(0 + 4) + 40][/tex]
[tex]\implies 10[4j + 40][/tex]
Now, simplify the distributive property.
The distributive property can be simplified by multiplying the term outside the parentheses with all the terms inside the parentheses.
[tex]\implies 10[4j + 40][/tex]
[tex]\implies [4j \times 10] + [40 \times 10][/tex]
[tex]\implies \boxed{40j + 400}[/tex]
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On March 1st Kendra’s checking account had a balance of $325.31. She wrote a check for $24.85, withdrew $40 from the ATM, and deposited $15. What was Kendra’s balance after these transactions?
Answers
Answer:
275.46
Step-by-step explanation:
She has $325.31
she writes a check for $24.85
she withdrew $40
and deposited $15
so do 325.31-24.85-40+15
and that equals
275.46
When calculating interest accrued, you use the
O A. APR
O B. APY
O C. debt ratio
O D. going rate
Answers
multiply the principal by the APR and the
number of months in the year, then divide by the
number of months earning interest. multiply the
principal by the APR and number of months,
then divide by the total number of months in the
year. multiply the principal by the APR and
number of months.
Claudia is making a candle by pouring melted wax into a mold in the shape of a cylinder. The radius of the cylinder’s base is 4 cm, and the height of the cylinder is 9 cm. To get the wax for the candle, Claudia melts cubes of wax that are each 3 cm by 3 cm by 3 cm. How many of the wax cubes will Claudia need to purchase to make the candle? (Note that Claudia is not able to purchase partial cubes). Show all your work.
Answers
The formula of a cylinder is 2πr (r+h)
2π4 (4+9)
8π (13)
25.13 (13)
326.73
Cubes: area = a^3
3x3x3 = 27
326.73 / 27 = 12.1
Claudia would need to buy 13 wax cubes to fil the candle.
hope this helps k12 students :)
caleb is choosing a bank from the two banks below in an average month he writes 12 checks use his debit card 10 times and uses the atm six times how much caleb send on his monthly bank fees at state bank six times
Answers
Based on the number of times that Caleb writes checks, uses his debit card, and uses the ATM, his monthly bank fees are $11 and $15.70 at NeoBank and Arbor Bank respectively.
What are Caleb's bank fees?The question is incomplete so I will use a similar question to answer it.
Caleb's fees at Neobank would be:
= (12 checks x 0 per check) + (10 debt card uses x 0 per use) + (6 ATM uses x 1 per use) + 5 Monthly fee
= 0 + 0 + 6 + 5
= $11
Caleb's fees at Arbor Bank:
= (12 checks x 0.10 per check) + (10 debt card uses x 0.25 per use) + (6 ATM uses x 2 per use) + 0 Monthly fee
= $15.70
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the product of nine and a number decreased by six
Answers
Answer:
9* (x-6)
9x-54
9x=54
x=54/9
x=6
Step-by-step explanation:
Maria makes 9 dollars for each hour of work. Write an equation to represent her total pay p after working h hours.
Answers
Answer: p = 9h
Step-by-step explanation:
If she makes 9 dollars of every hour of work, this will be a linear equation. We will write it as the following:
p = 9h
Answer:
9h/p
Step-by-step explanation:
9 x # of hours = total pay
$9 is the dollars for each hour, so you multiply that by how many hours Maria works. You will get the total pay.
Elsie is going to flip a coin and spin a spinner. The coin has a heads and a tails. The spinner has four equal parts that are yellow, blue, red, and green. What are the chances that Elsie gets heads and red on the spinner?
A. 1/8
B. 1/6
C. 1/4
D. 1/2
Answers
Answer:
1/8
Step-by-step explanation:
.5x.25=.125
1 divided by 8 equals .125
Answer:
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
.5x.25=.125
1 divided by 8 equals .125
Find the area of a polygon
Answers
Answer:
32.71cm² is the area
please can someone help fr
Answers
Step-by-step explanation:
help with what because on this tab I can only see a picture icon and not the actual snap so I'd like to help but I really cant
Answer:
x = 116°
Step-by-step explanation:
Finding the value of 'x' in a polygon
[tex]\sf \boxed{\text{Sum of interior angles of a polygon = (n - 2)*180}}[/tex]
= (5 - 2) *180
= 3*180
= 540°
90 + 119 + 86 + 129 +x = 540
424 + x = 540
x = 540 - 424
x = 116°
Use the following data set to answer questions 1-8: 13, 19, 7, 12, 21, 18, 15 1. Calculate the mean. Round to the nearest tenth.
Answers
Answer:
Mean = 13.3
Step-by-step explanation:
Mean = Sum of numbers = 13 + 19 + 7 + 12 + 21 + 18 + 15 + 1 = 106 = 13.25
Amount of numbers 8 8
13.25≈13.3
83 + (25) : 5 > 32 + 42
Answers
Step-by-step explanation:
83 +(25)/5 >32 + 42
Simplify 83 + (25)/5= 108/5
Simplify 32 + 42: 74
108/5>74
Therefore the solution is false
I need help 20 points
Answers
Answer:
[tex]A = 9\pi[/tex]
Step-by-step explanation:
This is basically just 3/4 of a circle, so the area will be:
[tex]A = \frac{3}{4} \pi r^{2}[/tex]
Plug in 6 for the radius:
[tex]A = \frac{3}{4} \pi (6)^{2}[/tex]
Simplify:
[tex]A = \frac{3}{4} \pi (36)[/tex]
Simplify further:
[tex]A = 9\pi[/tex]
Answer: 84.825
Step-by-step explanation:
area of circle = pi r squared.
radius is 6. plug in numbers for area.
the whole circle is 113.1 x 3/4 is 84.825
find the cost of 10 pens at x pence each
Answers
Answer:
D. x + 10 pence
Step-by-step explanation:
Since the pen costs 10 pence more than the ruler, we need to add 10 to x.
The given two-way table shows the number of passengers, by type, on the Ferris wheel at an amusement part for its first two runs on a Sunday morning.
First Run
Second Run Total
Children 122 146 268
Adults 183 219 402
Total 305 365 670
Based on the data in the table, what is the value of P(Adult|Second run) rounded to the nearest thousandth?
Answers
The two-way table is an illustration of probability, and the value of P(Adult|Second run) is 0.600
How to determine the probability?The probability to calculate is given as: P(Adult|Second run)
This means:
The probability that an Adult is selected given that the adult runs the second run
The formula to solve this is:
P(Adult|Second run) = n(Adult and Second run)/n(Second run)
From the table, we have:
n(Adult and Second run) = 219
n(Second run) = 365
So, we have:
P(Adult|Second run) = 219/365
Evaluate
P(Adult|Second run) = 0.600
Hence, the value of P(Adult|Second run) is 0.600
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Answer:
The value of P rounded to the nearest thousandth would be 0.6
Hope this helped!
Find two numbers whose difference is 30 and whose product is a minimum.
Answers
Answer:60-30 I guess
Step-by-step explanation:n60-30=30
⚠ANSWER FOR THE 5TH GRADERS⚠
Answers
Answer:
vitamins - organic compound
minerals - inorganic compounds
Step-by-step explanation:
Answer:
1. minerals = B inorganic elements
2. Vitamins = A organic compound
Step-by-step explanation:
can someone help me with this question? Thank you!
Answers
Answer:
i hope this can help you!
helppppppppppppppppppppppppp
Answers
Goran wants to find the average height of students in the 9th grade at Northside Highschool. So he will use the height of 50 students in the 9th grade to find the average height.
Explanation: pounds - currency/weight, ounces - volume of water, centimeter - height/length, grams - mass, inches - height
Solution:
(a)
1) centimeters
2) inches
(b) Solution: Randomly pick 50 students from the 9th grade and measure their heights.
Please help me with this math problem!! Will give brainliest!! :)
Answers
Answer:
A. 17
B. 16
Step-by-step explanation:
F(5)
5 > 2 so you plug the 5 into 3x+2
F(-2)
-5 < -2 < 2 so you plug the -2 into (x-2)^2
What is the slope of a line perpendicular to the line whose equation x+y=3. Fully simplify your answer
Answers
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]x + y =3\implies y=-x+3\implies y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1}\implies 1}}[/tex]
Unit test
Problem
Here are two different samples drawn from two different populations:
Two dot plots show the distributions of two samples. For each sample, the number line has a scale from 0 to 100 in increments of 10. For sample A, n = 11. The distribution is right skewed between 70 and 100, with outliers at 0 and 10. For sample B, n = 14. The distribution is right skewed between 0 and 100.
Which sample satisfies the normal condition for constructing a ttt interval?
Answers
Using the Central Limit Theorem, it is found that none of the samples satisfy the normal condition.
What does the Central Limit Theorem state?It states that the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], as long as at least one of these following conditions is respected.
The underlying distribution is normal.The sample size is greater than 30.In this problem, the underlying distributions are skewed, and both sample sizes are less than 30, hence none of the samples satisfy the normal condition.
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Answer:
N/A
Step-by-step explanation:
Find the total value of the investment after the time given. $480 at 9% compounded monthly for 7 years
Answers
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$480\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases} \\\\\\ A=480\left(1+\frac{0.09}{12}\right)^{12\cdot 7}\implies A=480(1.0075)^{84}\implies A\approx 899.14[/tex]
Write cos 32° in terms of sine.
cos 32° = sin
Answers
[tex]\cos32^{\circ} \\\\=\sin(90-32)^\circ~~~~~~~~~~~~~~;[\cos \theta = \sin(90- \theta)]\\\\=\sin 58^{\circ}[/tex]
Help me pls which one
Answers
Answer:
C . 0.1
Step-by-step explanation:
There are nine lines between 0 and 1
The one the red dot is one is 0.1
If 3x^2+3y^2 = 42 and xy = -15, find the value of (x-y)^2
Answers
Answer:
3x² + 3y² = 42
3 ( x² + y² ) = 42
x² + y² = 14
xy = -15 ( given )
(x-y)² = x² + y² - xy
14 - ( -15 )
14 + 15
29
PLEASE HELP!!!!!!!!!!!!!!
Answers
EFG = 98°
98 x 2 = 196
Minor arc EG = 196°
Hopefully this helps :)
what is the answer to (2x -3) / 4 = 9
Answers
Answer:
[tex]x=\frac{39}{2}[/tex]
Step-by-step explanation:
[tex]\frac{2x-3}{4}=9\\ \\2x-3=36\\\\2x=39\\\\x=\frac{39}{2}[/tex]
