Answer:
0.2384 = 23.84% probability that 2 of the selected customers are financial services firms
Step-by-step explanation:
The customers are chosen from a sample without replacement, which means that the hypergeometric distribution is used.
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]
20 new customers have signed up for a specialized service your company provides.
This means that [tex]N = 20[/tex]
Twelve are financial services firms.
This means that [tex]k = 12[/tex]
Sample of 5
This means that [tex]n = 5[/tex]
What is the probability that 2 of the selected customers are financial services firms
This is P(X = 2).
[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(2,20,5,12) = \frac{C_{12,2}*C_{8,3}}{C_{20,5}} = 0.2384[/tex]
0.2384 = 23.84% probability that 2 of the selected customers are financial services firms
2. Squares are the only regular quadrilaterals.
O
True
O
False
Answer:
true
Step-by-step explanation:
The only regular (all sides equal and all angles equal) quadrilateral is a square. So all other quadrilaterals are irregular.
Answer:
Falsee, I believe.
Rhombuses are equilateral too...
Hope that helps!
-Sabrina
Step-by-step explanation:
Yang is a car salesperson at Honda dealership. He earns monthly salary of $2,400 and an $250 bonus for each vehicle he sells to a customer. 1. Create an equation to represent the total earnings, t, Yang can make selling v, vehicles in one month.
2. How many vehicles does Yang need to sell in a month to earn a total of $5150?
3. How many vehicles does the salesperson need to sell in a month to earn at least $6000? Write an inequality and solve algebraically using inverse operations.
Answer:
1. 2400+250v=t
2. 11
3. at the least 15
Step-by-step explanation:
1. 250 is dependent variable
2. 5,150-2400=2750
2750/250=11
3.2400+250x=6000
6000-2400=3600
250x=360
3600/250
x=14.4
you need to sell at least 15
-1/4{-8x+12y} Expand The Expression
Answer:
2x-3y
Step-by-step explanation:
Aanika performed a hypothesis test, and her p-value cutoff was 10%. What's the chance that her test will incorrectly reject the null hypothesis? In other words, what is the error probability?
A.) 90%
B.) 5%
C.) 10%
D.) Not enough information
PLEASE HELP
In order to paint the house, Wyatt multiplies the area of the base times the height then adds half the area of the base times the height
Explain whether or not Wyatt correctly calculated the surface area of the house.
Answer:
Step-by-step explanation:28637 /ueo
the two trapezoids below are similar what is the length of a EF?
Answer:
6
Step-by-step explanation:
30 / 7.5 = 4
24/4 = 6
In a cooler there are 5 orange juices, 2 apple juices and 6 grape juices. In a large bag there are 2 ham sandwiches and 7 turkey sandwiches.
If you choose a random juice from the cooler and a random sandwich from the bag, what is the probability you get orange juice and a ham sandwich? Round your answer to the nearest hundredth (2 decimal places).
Answer:
10/117 or 8.55% or 0.09
Step-by-step explanation:
5/13 x 2/9 = 10/117
The probability you get orange juice and a ham sandwich is,
⇒ 10/117
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Given that;
In a cooler there are 5 orange juices, 2 apple juices and 6 grape juices. In a large bag there are 2 ham sandwiches and 7 turkey sandwiches.
Hence, Total number of juice in a cooler = 5 + 2 + 6 = 13
And, Total number of sandwiches = 2 + 7 = 9
Thus, The probability you get orange juice and a ham sandwich is,
⇒ 5 / 13 × 2 / 9
⇒ 10/117
Learn more about the probability visit:
https://brainly.com/question/13604758
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HELP PLS Find the length of BC to the nearest tenth:
B
350
A
12
с
20.9
14.6
17.1
118
Answer:
14.6
Step-by-step explanation:
using the trigonometry ratio
cosine
cos35= 12/BC
BC= 12/cos35
BC = 14.64
help asap find the area of this trapazoid
Step-by-step explanation:
here you have the answers
Answer:
[tex]A=12[/tex]
Step-by-step explanation:
The formula to find the area of a trapezoid is,
[tex]A=(\frac{b_1+b_2}{2})(h)[/tex]
Where ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the two bases of the trapezoid, and ([tex]h[/tex]) represents the hieght of the figure. As one can see on the coordinate plane,
[tex]b_1=2\\\\b_2=4\\\\h=4[/tex]
Substitute in the given values, and solve,
[tex]A = (\frac{b_1+b_2}{2})(h)\\\\A = (\frac{2+4}{2})(4)\\\\A = (\frac{6}{2})(4)\\\\A = (3)(4)\\\\A = 12[/tex]
HELP PLEASE DUE IN 3 MINUTES
Answer:
This is the answer
2 questions...both need answers
1. The length of a rectangle is 1 less than 4 times the width. If the perimeter is 118 ft., find
the length and the width. You must solve algebraically.
2. Ally scored 5 more than 7 times as many points as Gaelle during the weekend
basketball game. If they scored 45 points, how many did Ally score?
You must solve algebraically.
Answer:
Step-by-step explanation:
1.
L=4W-1
P=2(L+W)=118, using L from above makes this
2(4W-1+W)=118,
2(5W-1)=118
5W-1=59
5W=60
W=12, and since L=4W-1
L=4(12)-1
L=47
So the length is 47ft and the width is 12ft
2.
A=7G+5
7G=A-5
G=(A-5)/7, and we are told A+G=45, using G=(A-5)/7 gives us
A+(A-5)/7=45
(7A+A-5)/7=45
(8A-5)/7=45
8A-5=315
8A=320
A=40
So Ally scored 40 points.
A triangle has sides of length 8 cm, 5 cm, and 5 cm. How many unique
triangles can be drawn that fit that description? Explain or show your
reasoning
1
Answer: I think it’s 2
Step-by-step explanation: because either of the sides are equal or the base and a side is not possible.
Aren’t you from CCA, Ryan Rivera, Maths 5th period.
Answer:
2
hope this helps
I need help please. The question is A rectangle is shown below.What is the area of the rectangle in square feet.
Answer:
84 ft^2
Step-by-step explanation:
To find the area of this rectangle we multiply width and length
8 × 10.5 = 84 ft^2
Which equation has the solution y = 8
Pls help me calculate the inverse of y equals 2x over x-7
Please answer quick
Answer:
its the first option
Step-by-step explanation:
What percent of the figure is shaded below? Write this percent as a decimal and a fraction in the simplest form.
((Please hurry!))
Answer:
[tex]\frac{5}{8}[/tex] and 62.5%
Step-by-step explanation:
5/8=0.625
when converting a decimal to a percentage you just move the decimal point over to the right twice so it would be 62.5%
Can someone help me with this ?
Answer:
x = 25
Step-by-step explanation:
Looking at the triangle we know that it is a right triangleor a 90⁰ triangle.
(2x + 15)⁰ + x⁰ = 90⁰
2x + 15⁰ + x⁰ = 90⁰
2x + x + 15⁰ = 90⁰
3x + 15⁰ = 90⁰
3x + 15⁰ - 15⁰ = 90⁰ - 15⁰
3x = 75⁰
3x / 3 = 75⁰ / 3
x = 25⁰
Now plug the x value in the missing angles.
2x + 15⁰
2(25⁰) + 15⁰
50⁰ + 15⁰
65⁰
According to the sum of triangle, all angles add up to 180⁰. Even though this is a right triangle, it should add up 180⁰ in order to be a triangle.
65⁰ + 25⁰ + 90⁰ = 180⁰
Hope this helps and stay safe, happy, and healthy, thank you :) !!
1. The average length of all the trout in a river is 60 cm. This data summary represents a ____________________(parameter/statistic).
2. If the Hamilton High School freshman class is the sample in a statistical study, then which is not a possible for the study?
A. The student body of Hamilton High School
B. The students in Hamilton High School's district
C. The students in Ms. Anderson's science class
D. All freshman students in the state
Answers:
ParameterC. The students in Ms. Anderson's science class==========================================================
Explanation for problem 1
If all we're concerned with are the trout in this river, and this river only, then we are measuring the parameter population mean value of 60 cm. Parameters always go with populations; while statistics go with samples.
A quick way to remember:
parameter and population both start with pstatistic and sample both start with s----------------------------------------------------------
Explanation for problem 2
This question seems to be missing a key word. The portion that reads "then which is not a possible for the study?" seems to have a missing word where the blank is shown below
then which is not a possible _____ for the study?
I think "population" should be put into the blank. If that's the case, then choices A, B, and D are all possible populations here. They are larger than the sample of freshmen at this high school. Notice how the students in Ms. Anderson's class is a smaller set compared to the set of all freshmen at Hamilton High School. The sample must always be smaller than the population, or phrased another way, the population must always be larger than the sample.
So this is why choice C is the answer.
20 POINTS a ball rebounds 1/2 of the height from which it is dropped. Assume the ball is dropped 128 feet from the top of a school and keeps bouncing. How far will the ball have traveled up and down when it strikes the ground for the fifth time?
The radius of a circle is 1 mile what is the circles area?
Answer:
radius 1 mile, Area 3.14 mile^2
Step-by-step explanation:
Area of circle = πr^2
Area of circle = 3.14×1×1
Area of circle = 3.14mile^2
CAN SOMEONE PLEASE HELP ME WITH THIS ITS DUE TODAY
1. 4 x 31 is 124
2. 7 x 49 is 658
3. 16 x 48 is 608
4. 8(5 + w) is 8w + 40
5. 11(9 + d) is 11d + 99
6. 15(p + 4 + 2) is 15p + 90
7. Let's simplify step-by-step.
2x−4+3x
=2x+−4+3x
Combine Like Terms:
=2x+−4+3x
=(2x+3x)+(−4)
=5x+−4.
8. Let's simplify step-by-step.
4y−1−3y−2
=4y+−1+−3y+−2
Combine Like Terms:
=4y+−1+−3y+−2
=(4y+−3y)+(−1+−2)
=y+−3.
9. Let's simplify step-by-step.
x+2(x−4)
Distribute:
=x+(2)(x)+(2)(−4)
=x+2x+−8
Combine Like Terms:
=x+2x+−8
=(x+2x)+(−8)
=3x+−8.
10. Part A)
The jazz band sells 31 large boxes of fruit and 74 small boxes of fruit.
For each large fruit box, the price is $20 and cost is $x.
Profit is defined as Price - Cost.
So, profit for one large fruit box = 20 - x
Profit for 31 large fruit boxes = 31(20 - x)
Price of each small fruit box is $10 and cost of each small fruit box is $y. The profit for each small fruit box is 10 - y.
Profit for 74 small fruit boxes = 74(10 - y)
The total profit for 31 large boxes and 74 small boxes will be:
Total profit = 31 (20 - x ) + 74(10 - y)
Using distributive property, we can simplify the above equation as:
Total profit = 31(20) - 31x +74(10) - 74y
Total profit = 1360 - 31x - 74y
Part B)
Cost of each large box is given to be $9. This means x = 9
Cost of each small box is given to be $4. This means y = 4
Using the values of x and y in the profit equation we can find the profit of the Jazz Band.
So, Jazz Band's Profit = 1360 - 31(9) - 74(4)
Jazz Band's Profit = $ 785
Thus the profit of Jazz Band will be $785.
Have A good day!! Hope I helped!!! ^-^
Find the AREA of the circle below
Answer:
If they want you to use pi as 3.14 then the answer is 153.86
If they just use pi the answer is 153.94
Step-by-step explanation:
A = [tex]\pi r^{2}[/tex]
14/2 = 7
A = [tex]\pi 7^{2}[/tex]
A = [tex]\pi[/tex] 49
A = 153.94
What is the value of 3 1/4 increased by 2 1/6?
Answer:
2 11/12
Step-by-step explanation:
x 5. Solve.
A bag contains 2 red, 4 blue, and 4 yellow marbles. What is the probability of pulling a red marble, then a blue marble from the bag? (to the nearest tenth)
Answer:
2/10*4/10=2/25 aka 0.08 aka rounded is 0.1
Step-by-step explanation:
hope this helps plz give brainliest
At Brighton Middle School, Mr. Yule asked 50 randomly selected students from each grade level about their favorite subject, and 12 chose science. He used this data to draw the inference that about 25% of middle school students will indicate science is their favorite subject. If there are 200 students all together, did he make a reasonable inference?
No, Mr. Yule’s sample is biased and too small to be representative of the population.
Yes, Mr. Yule’s sample is small and biased, so it is representative of the population.
No, Mr. Yule’s percentage is too large. He should have used 6%.
Yes, Mr. Yule’s sample is random and representative of the population.
Answer:
D.) "Yes, Mr. Yule’s sample is random and representative of the population."
Step-by-step explanation:
I need help in question 2 pls help i beg you
Answer:
I'm pretty sure itd be tropic fresh fruit punch, with it having more concentration compared too the other brand.
imagine ur own " gf " hack-ing u and they say they are gonna be yours forever then do some bs like that smh. i can't even change my pas smh .
Answer:
gl
Step-by-step explanation:
r i p
Answer:
dang bro im sorry that happened to you but it will get better :) dont cry over her
Factor: -5a - 16 =
Answer?
Answer:
Do you need the answer or the factor??
Step-by-step explanation:
Answer: -(5a+16)
Step-by-step explanation:
Assume a jar has five red marbles and three black marbles. Draw out two marbles with and without replacement. Find the requested probabilities. (Enter the probabilities as fractions.) (a) P(two red marbles) with replacement without replacement (b) P(two black marbles) with replacement without replacement (c) P(one red and one black marble) with replacement without replacement (d) P(red on the first draw and black on the second draw) with replacement without replacement
Answer:
For probabilities with replacement
[tex]P(2\ Red) = \frac{25}{64}[/tex]
[tex]P(2\ Black) = \frac{9}{64}[/tex]
[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{32}[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{64}[/tex]
For probabilities without replacement
[tex]P(2\ Red) = \frac{5}{14}[/tex]
[tex]P(2\ Black) = \frac{3}{28}[/tex]
[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{28}[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{56}[/tex]
Step-by-step explanation:
Given
[tex]Marbles = 8[/tex]
[tex]Red = 5[/tex]
[tex]Black = 3[/tex]
For probabilities with replacement
(a) P(2 Red)
This is calculated as:
[tex]P(2\ Red) = P(Red)\ and\ P(Red)[/tex]
[tex]P(2\ Red) = P(Red)\ *\ P(Red)[/tex]
So, we have:
[tex]P(2\ Red) = \frac{n(Red)}{Total} \ *\ \frac{n(Red)}{Total}\\[/tex]
[tex]P(2\ Red) = \frac{5}{8} * \frac{5}{8}[/tex]
[tex]P(2\ Red) = \frac{25}{64}[/tex]
(b) P(2 Black)
This is calculated as:
[tex]P(2\ Black) = P(Black)\ and\ P(Black)[/tex]
[tex]P(2\ Black) = P(Black)\ *\ P(Black)[/tex]
So, we have:
[tex]P(2\ Black) = \frac{n(Black)}{Total}\ *\ \frac{n(Black)}{Total}[/tex]
[tex]P(2\ Black) = \frac{3}{8}\ *\ \frac{3}{8}[/tex]
[tex]P(2\ Black) = \frac{9}{64}[/tex]
(c) P(1 Red and 1 Black)
This is calculated as:
[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ and\ P(Black)]\ or\ [P(Black)\ and\ P(Red)][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ *\ P(Black)]\ +\ [P(Black)\ *\ P(Red)][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = 2[P(Red)\ *\ P(Black)][/tex]
So, we have:
[tex]P(1\ Red\ and\ 1\ Black) = 2*[\frac{5}{8} *\frac{3}{8}][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = 2*\frac{15}{64}[/tex]
[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{32}[/tex]
(d) P(1st Red and 2nd Black)
This is calculated as:
[tex]P(1st\ Red\ and\ 2nd\ Black) = [P(Red)\ and\ P(Black)][/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = P(Red)\ *\ P(Black)[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{n(Red)}{Total} *\ \frac{n(Black)}{Total}[/tex]
So, we have:
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{5}{8} *\frac{3}{8}[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{64}[/tex]
For probabilities without replacement
(a) P(2 Red)
This is calculated as:
[tex]P(2\ Red) = P(Red)\ and\ P(Red)[/tex]
[tex]P(2\ Red) = P(Red)\ *\ P(Red)[/tex]
So, we have:
[tex]P(2\ Red) = \frac{n(Red)}{Total} \ *\ \frac{n(Red)-1}{Total-1}[/tex]
We subtracted 1 because the number of red balls (and the total) decreased by 1 after the first red ball is picked.
[tex]P(2\ Red) = \frac{5}{8} * \frac{4}{7}[/tex]
[tex]P(2\ Red) = \frac{5}{2} * \frac{1}{7}[/tex]
[tex]P(2\ Red) = \frac{5}{14}[/tex]
(b) P(2 Black)
This is calculated as:
[tex]P(2\ Black) = P(Black)\ and\ P(Black)[/tex]
[tex]P(2\ Black) = P(Black)\ *\ P(Black)[/tex]
So, we have:
[tex]P(2\ Black) = \frac{n(Black)}{Total}\ *\ \frac{n(Black)-1}{Total-1}[/tex]
We subtracted 1 because the number of black balls (and the total) decreased by 1 after the first black ball is picked.
[tex]P(2\ Black) = \frac{3}{8}\ *\ \frac{2}{7}[/tex]
[tex]P(2\ Black) = \frac{3}{4}\ *\ \frac{1}{7}[/tex]
[tex]P(2\ Black) = \frac{3}{28}[/tex]
(c) P(1 Red and 1 Black)
This is calculated as:
[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ and\ P(Black)]\ or\ [P(Black)\ and\ P(Red)][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ *\ P(Black)]\ +\ [P(Black)\ *\ P(Red)][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = [\frac{n(Red)}{Total}\ *\ \frac{n(Black)}{Total-1}]\ +\ [\frac{n(Black)}{Total}\ *\ \frac{n(Red)}{Total-1}][/tex]
So, we have:
[tex]P(1\ Red\ and\ 1\ Black) = [\frac{5}{8} *\frac{3}{7}] + [\frac{3}{8} *\frac{5}{7}][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = [\frac{15}{56} ] + [\frac{15}{56}][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = \frac{30}{56}[/tex]
[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{28}[/tex]
(d) P(1st Red and 2nd Black)
This is calculated as:
[tex]P(1st\ Red\ and\ 2nd\ Black) = [P(Red)\ and\ P(Black)][/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = P(Red)\ *\ P(Black)[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{n(Red)}{Total} *\ \frac{n(Black)}{Total-1}[/tex]
So, we have:
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{5}{8} *\frac{3}{7}[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{56}[/tex]