The probability that exactly two of the students are juniors is given as follows:
0.270 = 27%.
What is the hypergeometric distribution formula?The mass probability formula is presented as follows:
[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.The values of these parameters for this problem are given as follows:
[tex]N = 60, n = 4, k = 18[/tex]
Hence the probability that exactly two of the students are juniors is calculated as follows:
[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 = 2) = h(2,60,4,18) = \frac{C_{18,2}C_{42,2}}{C_{60,4}} = 0.270[/tex]
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A nature park has two ticket plans. With one plan, you pay a $24 yearly membership fee plus $8
for each visit. The other plan has no membership fee, but you pay $14 for each visit. Isaac is on
the first ticket plan and Maddie is on the second ticket plan. After how many visits will they each
have paid the same amount
F 5
G6
H4
J 3
Answer:
G6
Step-by-step explanation:
(-2,5) and (5,-4)
What will be the slope of the line passing through these points?
Calculate the amount of interest you receive if you invest $30,000 at 4%
for 3 years.
Help with this math problem, please!!
Answer:
Step-by-step explanation:
that is hard
PLEASE HELP IM TIMED NO LINKS OR FILES THESE ARE NOT FREE POINTS WILL REPORT, ALSO I WILL GIVE BRAINLISET TO FIRST PERSON THAT ANSWER!
Answer:
t=-28
Step-by-step explanation:
A rectangular prism has a length of 16in, a height of 15in, and a width of 6in. What is its volume, in cubic in?
Answer:
9in
Step-by-step explanation:
a p e x
Answer:
Step-by-step explanation:
Set up and solve a proportion: On average, I can answer 14 out of 21 questions correctly in a trivia game. Assuming
this situation is proportional, how many MORE questions am I likely to get correct if there are 30 questions in all?
Answer:
20
Step-by-step explanation:
Since this is a ratio problem we first plug in all that we know
14:x
21:30
Now we find a way to get from 21 to 30
The ratio 14:21 can be simplified if we divide each by 7 give us 2:3
Now we plug the new ratio in
2:x
3:30
We get from 3 to 30 by multiplying by 10 so we also multiply 2 by 10 and we get 20
PLEASE HELP. ANYONE.
The amount of fence Farmer Thomas needs around her vegetable garden can be modeled by the formula:
V = 8w + 3l
where V = the perimeter of the vegetable garden; w = the width; l = the length
Which formula best represents l in terms of w and V ?
A- l=v-8w-3
B- l=3v-8w
C- l=v-8w/3
D- l=v-8w+3
A woman divided her collection of 1,200 books into 10 equal parts. She gave 3 portions to her husband, 4 portions to her daughter, and the rest equally to three nieces. How many books did her daughter receive?
Answer: Her daughter received 480 books
Step-by-step explanation:
Total collection of books =1,200
Total collection of books divided into 10 equal parts =1,200/10 = 120
Number of books given to her husband= 3 portions which means
120 x 3 =360books
Number of books given to her daughter=4 portions which means
120 x 4 =480books
The remaining which equals 3 portions were given to her three nieces.
1. NBC: A jacket you like costs $64. You have a coupon for 20% off. How much will you pay for the jacket?
Answer:
$51.2
Step-by-step explanation:
If you subtract 64 to 20% then you end up with $51.2
Find 2x^3-x^3+4x+7 divided by x+3
Answer:
(x^3+4x+7)/(x+3)
Step-by-step explanation:
you just combine the like terms on the top and put it in a fraction. let me know if that helped.
Jasmine paid $380 for a playstation 5, originally priced at $500. What percent discount did Jasmine get?
She got it for 24% off
$500 - 24% = $380
Help me with this please
Answer:
6a is 80 6b120
Step-by-step explanation:
Expand the expressions below using a rectangular array.
3.52x−5+6y
Answer:
3.52 x − 5 + 6 y = 0
Step-by-step explanation:
decrease 784 in the ratio 3:4
Answer:
336 and 448
Step-by-step explanation:
sum the ratio
divide the actual number by the sum i.e 784÷7=122
multiply 112 by 3 and by 4
The numbers are 336 and 448 respectively.
What is Arithmetic?The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations. The term "arithmetic" (which comes from the Greek word "arithmos," "number") often refers to the fundamental concepts in number theory, measurement, and computation (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
As per the given data:
We have to decrease 784 in the ratio 3:4
Consider that after decreasing, the numbers are x and y.
From the given data:
(x / y) = (3 / 4)
⇒ 4x = 3y
⇒ y = (4x/3) ...(i)
also, x + y = 784
Substituting from eq (i)
x + (4x/3) = 784
(7x / 3) = 784
x = (743 × 3) / 7
x = 336
and y = 784 - 336 = 448
Hence, the numbers are 336 and 448 respectively.
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What is the solution set of the inequality: 14- 3x < -1
Answer:
x>5 (Answer should have a positive sign.)Step-by-step explanation:
To solve this problem, isolate x from one side of the equation.
First, subtract by 14 from both sides.
14-3x-14<-1-14
Solve.
-3x<-15
Multiply by -1 from both sides.
(-3x)(-1)>(-15)(-1)
Solve.
3x>15
Then, you divide by 3 from both sides.
3x/3>15/3
Solve.
15/3=5
x>5
In conclusion, final answer is x>5.
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Whats the question bro and if there's no question than thank you bro I really appreciate you have a gn
can someone please help me
Answer:
A
Step-by-step explanation:
The formula is y-b=m(x-a)
m is the slope
a is the x term
b is the y term
y-6=3(x-5)
Answer:think the answer c
Step-by-step explanation:
help me w this pls pls pls
Answer:
48
Step-by-step explanation:
2500 - 196 = [tex]x^{2}[/tex]
x = 48
Please mark as brainliest for future answers :)
find the image of the point (-5,-2) under
which of the following graphs does not represent a function of x?
PLEASE HELP ILL MARK BRAINLY IF CORRECT
Answer:
It's Graph 1 because it passes the Y axis two times
8 Which numbers from this list are less than -0.94?
15
0.24, -2.23, 97%
6, -25,-0.95
16
F
15
- 2.23, and -0.95
16'
15:
6 -2.23, -2, and
and -0.95
H 0.24,
15
and -0.95
16
J
15
16
0.24, and -2.23
+
Answer:
-0.95, -2, -2.23, -25
Step-by-step explanation:
All you have to do is look at the sign of each number and see whether it's less than -0.94.
Multiplicative inverse of 0.65
How do you write the equation for this word problem: DeShawn spent $650 on pairs of pants. Dress pants cost $100 and jeans cost $70. If he bought a total of 8, then how many of each kind did he buy? And can you please show this step by step. Thank you
Answer:
He bought 5 pairs of jeans and 3 pairs of pants.
Step-by-step explanation:
5j + 3p = 650
5 × 70 = 350
3 x 100 = 300
350 + 300 = 650
The circular stone mound in Ireland called Newgrange has a diameter of 250 feet. A passage 62 feet long leads towards the center of the mound.
Find the perpendicular distance x from the end of the passage to either side of the mound. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
it's 125 for the radius and also 125-62 = 63
so 125+63 = 188
188 * 62 = X^2
11656 = X^2
107.96 = x
108.0 = x ( to the nearest tenth )
The perpendicular distance x from the end of the passage to either side of the mound is : 107.93 feets
Diameter = 250
To obtain the perpendicular distance, x :
We use the relation : x × x = Length to either side of mound :
Mathematically ;
x × x = 62 ft × (250 - 62)
x² = 62 × 188
x² = 11656 ft²
Take the square root of both sides ;
x = √11656
x = 107.9629 ft
Hence, the perpendicular distance x from the end of the passage to either side of the mound is : 107.93 feets
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HELPPP!!
Select the interval where h is negative.
A) -4 < x < -3
B) -1 < x < 1
C) 3 < x < 4
Answer:
B) -1 < x < 1
Step-by-step explanation:
A function is positive on intervals (read the intervals on the x-axis), where the graph line lies above the x-axis. A function is negative on intervals (read the intervals on the x-axis), where the graph line lies below the x-axis.
Answer:
khan
Step-by-step explanation:
Will get brainliest if correct
Answer:
half
Step-by-step explanation:
Help!! due in 20 mins
Answer:
i believe A is not true .
Step-by-step explanation:Notice how b,c,and d are all similar . pretend the first box is box a and the second box is box b . the answer choices are all similar in the terms like a/b=b/a or b/a=a/b . yet answer A is like a/a=b/b and it makes no sense
A lawn is shaped like a parallelogram with a base of 30 feet and a height of 12 feet. Covering the lawn with grass will cost $2.60 per square foot. How much money will it cost to cover the lawn with grass
Answer:
936 dollars
Step-by-step explanation:
I've got the area of the parallelogram and the area is 360 feet.area of parallelogram is equal to based x height then I took the money x the feet then I got 936 dollars hope it helps.
Is it rational or irrational pls help