Answer:
[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls
Step-by-step explanation:
The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
All girls from the first group:
20 students, so [tex]N = 20[/tex]
10 girls, so [tex]k = 10[/tex]
5 students will be selected, so [tex]n = 5[/tex]
We want all of them to be girls, so we find P(X = 5).
[tex]P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163[/tex]
All girls from the second group:
20 students, so [tex]N = 20[/tex]
5 girls, so [tex]k = 5[/tex]
5 students will be selected, so [tex]n = 5[/tex]
We want all of them to be girls, so we find P(X = 5).
[tex]P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006[/tex]
All girls from the third group:
20 students, so [tex]N = 20[/tex]
8 girls, so [tex]k = 8[/tex]
5 students will be selected, so [tex]n = 5[/tex]
We want all of them to be girls, so we find P(X = 5).
[tex]P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036[/tex]
All 15 students are girls:
Groups are independent, so we multiply the probabilities:
[tex]P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}[/tex]
[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls
f(x) = 0 polynomial or not
Jim buys a vase. The diameter of the vase is 14 cm. What is the circumference?
Step-by-step explanation:
To find circumfrence you use the equation:
[tex]C=2\pi r[/tex]
Since you were given the diameter so you divide by half to get the radius.
14/2 = 7
your radius is 7 and all you do is plug into the equation
[tex]C=2\pi 7[/tex]
C= 43.98 or 44 rounded
Answer:
To find circumfrence you use the equation:
Since you were given the diameter so you divide by half to get the radius.
14/2 = 7
your radius is 7 and all you do is plug into the equation
C= 43.98 or 44 rounded
Step-by-step explanation:
a wall that is 4 ft. 3 in. tall is next to a tree. the figure shows the shadows that they cast. what is the height of the tree in feet and inches?
Answer:
[tex]Tree = 17ft[/tex]
Step-by-step explanation:
Given
[tex]Wall = 4ft\ 3in[/tex]
[tex]Wall\ Shadow = 6ft[/tex]
[tex]Tree\ Shadow = 24ft[/tex]
Required:
Determine the height of the tree
To do this, we make use of the following equivalent ratios
Wall : Wall Shadow = Tree : Tree shadow
Substitute values for Wall, Wall Shadow and Tree Shadow
[tex]4ft\ 3in : 6ft = Tree : 24ft[/tex]
Convert all units to ft
[tex]4ft+ 0.25ft : 6ft = Tree : 24ft[/tex]
[tex]4.25ft : 6ft = Tree : 24ft[/tex]
Convert to fractions
[tex]\frac{4.25ft}{6ft} = \frac{Tree }{ 24ft}[/tex]
Cross Multiply
[tex]Tree * 6ft = 4.25ft * 24ft[/tex]
[tex]Tree * 6ft = 102ft^2[/tex]
Make Tree the subject
[tex]Tree = \frac{102ft^2}{6ft}[/tex]
[tex]Tree = \frac{102ft}{6}[/tex]
[tex]Tree = 17ft[/tex]
Hence, the tree is 17ft tall
STICK EM UP! or I will have to shoot.
On a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74%
of the total bill. To the nearest cent, what was the total amount of the utility bill?
The total amount of the utility bill is $
Answer:
74%->91.22
100%-> 123.27(estimated)
The total amount of the utility bill will be $123.2.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that on a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74% of the total bill.
The total amount will be calculated as below:-
74% ⇒ $91.22
1% ⇒ 91.22 / 74
100% ⇒ ( 91.22 x 100 ) / 74
100% ⇒ $123.27
Therefore, the total amount of the utility bill will be $123.2.
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81^3x÷3^4x=729 solve for x
Answer:
Step-by-step explanation:
x=45816 , 1.89552335
Answer:
Answer:
x=0.333333,−0.333333
Step-by-step explanation:
(813)(x) /3^4
x=729
Simplifies to:
6561x2=729
Let's solve your equation step-by-step.
6561x2=729
Step 1: Divide both sides by 6561.
6561x^2 /6561 = 729 /6561
x2= 1 /9
Step 2: Take square root.
x=±√ 1 /9
x=0.333333,−0.333333
please help i’m so confused, it’s geometry!
Answer:
The correct answer is (-1,-3)
Step-by-step explanation:
its right i think lol
Solve this system by using the elimination method. 2x + 3y = - 12 - x - 3y = 18
Answer:
Step-by-step explanation:
2x + 3y = -12
-x - 3y = 18
x = 6
-6 - 3y = 18
-3y = 24
y = -8
(6, -8)
The solution of the system by using the elimination method is (6, -8).
What is an Equation?An equation says that two things are equal. It will have an equals sign "="
How to solve it?
We have,
2x + 3y = -12
-x - 3y = 18
x = 6
Now,
-6 - 3y = 18
-3y = 24
y = -8
We got the solution:
(6, -8)
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Andre also has a puppy that weighs 9 pounds. The vet says that this puppy is now at about 30% of its adult weight. What will be the adult weight of Andre’s puppy?
Answer:
30 lbs.
Step-by-step explanation:
There is a much easier way to do this involving percentages, but I hate percentages so here is my way.
The adult weight will be 100% and the puppy is currently around 30%. If you multiply 30% by 3, you get 90% which is almost 100%.
So I multiplied 9 by 3 to get 27 lbs.
Now I need to get the remaining 10%. 9 lbs is 30%, soto get to 10%, I divide 30% by 3. I divided the 9 lbs by 3 to get 3 lbs.
Add the two numbers together: 27+3=30 lbs
LOGIC PROBLEM
3. CALL TO ORDER
by MARY MARKS CEZUS Sally was just about to complete her first week as a waitress with no major problems when in walked four of her friends. Each ordered a different sandwich, drink, and salad. To test her logic and her waitressing skills, they gave their order to Sally as clues. Sally successfully placed their orders in front of them within a few minutes. Can you, too, match each friend's name (one is Mike), sandwich, drink, and salad (one is a fruit salad)?
1. The four orders are Kathy's, the one with a hamburger, the one with a cola, and the one with the tossed
salad. 2. Linda does not want the tuna melt. 3. Jeff, the person who wants the lemon-lime drink, and the person who wants the grilled cheese, all three think
this is great fun. 4. The orange drink does not go with the potato salad. 5. Jeff wants neither the cola nor the tuna melt. 6. The tossed salad does not go with the chicken fillet. 7. Linda and the person who ordered the grilled cheese are going shopping after lunch. 8. Neither the coleslaw nor the root beer go with the hamburger. 9. The coleslaw goes with neither the chicken fillet nor the lemon-lime. .
Answer:
not yet di ko po maintindihan
Step-by-step explanation:
sana po magets nyo po
Please help I need this answer ASAP
Answer:
7 granola bars
Step-by-step explanation:
560 calories in 4 bars
560/4 = 140 per bar
980/140 = 7 bars
Solve the inequality. Please show your math work step by step.
-3x+4<25
Answer:
x > -6.33
Step-by-step explanation:
-3x + 4 < 25
-3x + 4 - 4 < 25 - 4
-3x < 19
-3x/3 < 19/-3
x > -6.33
Answer:
x> -7
Step-by-step explanation:
Subtract 4 from both sides:
−3x+4−4<25−4
Simplify:
−3x<21
Multiply both sides by −1 (reverse the inequality)
(−3x)(−1)>21(−1)
Simplify again:
3x>−21
Divide both sides by 3
(3x/3) >(−21/3 )
Simplify again to get the result!
x > -7
Three friends Steve, Jake and Jodie shared a pizza. Steve ate 2/5 of the pizza and Jake ate 1/4
What fraction did Jodie eat?
Answer:
they ate it all together as it all adds to 1
Step-by-step explanation:
1/4+2/5 if you add the missing remainder it totals 1
Urgent!! Math!! What’s the answer to 2,3,4??
Answer:=25
Step-by-step explanation:
Answer:
2 is B
3 is C
and i'm pretty sure 4 is B
Step-by-step explanation:
the calculator says otherwise -.-
Thats the correct answer.
HELP PLEASE!!!
See the image!
Answer:
Step-by-step explanation:
Remark
I don't think the net helps you that much. The yellow diagram shows where the dimensions are.
Givens
L = 5w = 5h = 12Formula
Surface Area = 2*L*w + 2*L*h + 2 * w * h
Solution
Surface Area = 2*5*5 + 2*5*12 + 2*5*12Surface Area = 50 + 120 + 120Surface Area = 290 in^2Consider the following random experiment. First, roll a die and observe the number of dots facing up; then, toss a coin the number of times that the die shows and observe the total number of heads. For example, if the die shows three dots facing up and the coin (which is then tossed three times) comes up heads exactly twice, then the outcome of the experiment can be represented as (3, 2).
a. Determine a sample space for this experiment.
b. Determine the event that the total number of heads is even.
Answer:
{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}
B.)
{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}
Step-by-step explanation:
Sample space :
Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.
{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}
Event that the total number of head is even:
{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}
PLZ HELP PLZZZZZZZZZZ
Answer:
c i believe
Step-by-step explanation:
please help, this is due soon!
Answer:
289 meters I believe.
Step-by-step explanation:
NEED THIS ASAP
Find QA.
A.4
b.-4
c.16
d.28
Answer:
d. 28
Step-by-step explanation:
7x = 3x + 16
subtract 3x from both sides: 4x = 16
divide both sides by 4: x = 4
plug in four to find length of QA: 3 x (4) + 16 = 12 + 16 = 28
How would the area of a triangle be affected if the base and height are dilated by 1/2
Answer:
The area would reduce to 1/4 the original area
Step-by-step explanation:
The area of a triangle = (1/2)(base)(height) or bh/2
If the triangle base and height were to reduce by one-half, the formula would change to:
Area = (1/2)(1/2 base)(1/2 height) or bh/8. Which is a reduction by 1/4
Missy read 1/12 of a book by Monday 1/4 of the book by Tuesday and 5/12 of the book by Wed. if the pattern continues how much of the book will she have read by Fri. draw a chart or explain
Answer:
part A:
1/12 on day 1
1/4 or 3/12 on day 2
5/12 on day 3
Missy read 2/12 or 1/6 every day
Part B:
if day 1 is 1/12 and Friday is day 5 and she reads 2/12 per day
2/12 * 4 = 8/12
so 1/12 + 8/12 = 9/12 or 3/4 by Friday
Answer:
Monday: 1/12
Tuesday: 3/12
Wednesday: 5/12
Step-by-step explanation:
!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer!
Answer:
I'm not going to lie I'm not 100% sure but I think it's c
Answer:
D
Step-by-step explanation:
4x=4+2y
3y=5+2x
sinA•cosA•tanA+cosA-SinA.cotA give answer pls
Answer:
Step-by-step explanation:
Tan A = Sin A/Cos A
Cot A = Cos A / Sin A
Sin A*Cos A * tan A + Cos A * Sin A * Cot A
[tex]= Sin A * Cos A * \frac{Sin A}{Cos A} + Cos A*Sin A * \frac{Cos A}{Sin A}\\\\= Sin A * Sin A + Cos A * Cos A\\\\= Sin^{2} A + Cos^{2} A\\\\= 1[/tex]
3 Write the statement "10 is 7 less than the product of 5 and a" as a
mathematical equation.
Can someone explain this please?
9514 1404 393
Answer:
L = 5√10
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.
(10√3)² = L² + (5√2)²
300 = L² + 50 . . . . . . . . . evaluate the squares
L² = 300 -50 = 250 . . . . subtract 50
L = √250 = (√25)(√10) . . . . take the square root and factor for simplification
L = 5√10
2. It costs Shermano's pizza $2 to make a pizza, if the markup is 550%.
what is the selling price for a pizza? *
A company that advertises on websites uses the formula below to estimate the number of people who will click on one of its advertisements, where c is the number of clicks on that advertisement, t is the length of time the advertisement is displayed (in days), and d is the distance from the top of the website to the advertisement (in inches).
c = 152t - 44d
How many clicks would the company estimate to receive from its advertisement that is displayed 7 inches from the top of the website for 18 days? A. 272 B. 2,692 C. 2,428 D. 2,729
Answer:
C. 2428
Step-by-step explanation:
c=152t-44d
Its given that,
t=18, d=7
substituting
c=152(18)-44(7)=2428
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J.D. power and Associates calculates and publishes various statistics concerning car quality. The dependability score measures problems experienced during the past 12 months by original owners of three-year-old vehicles (those that were introduced for the 2017 model year). For these models of cars, Ford had 1.27 problems per car and Toyota had 1.12 problems per car. (Data extracted from 2013 U.S. Vehicle Dependability Study,J.D. Power and Associates, February 13, 2013, Let X be equal to the number of problems with a three -year -old Ford.
a. What assumptions must be made in order for X to be distributed as a Poisson random variable? Are these assumptions reasonable? Making the assumptions as in (a), if you purchased a Ford in the 2010 model year, what is the probability that in the past 12 months, the car had
b. zero problems?
c. two or fewer problems?
d. Give an operational definition for problem. Why is the operational definition important in interpreting the initial quality score?
Answer:
0.281 ; 0.864
Step-by-step explanation:
1.)
p decreases as n increases (n increases, p--> 0)
λ ≥ 0
P(x = x) = (e^-λ * λ^x) ÷ x!
λ for Ford = 1.27
B) zero problems :
P(x = 0) :
(e^-1.27 * 1.27^0) ÷ 0! = 0.281
P(x = 0) = 0.281
Two or fewer problems :
P(x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x ≤ 2) = 0.281 + 0.357 + 0.226
P(x ≤ 2) = 0.864
D.) It allows for early detection and thus adequate curtailment of the problem at an a stage in which it seems easier to curb.
Maria needs $2.35 to buy a magazine. The only money she has is a jar of nickels and dimes. Write an equation in standard form for the different amounts of nickels and dimes she could use.
Answer:
Step-by-step explanation:
sorry need the points
what is the difference between 1 and o.1978
Answer:
0,8022
Step-by-step explanation:
guess it helped