Answer:
Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.
Step-by-step explanation:
The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes 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 successes.
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]
In this question:
12 resistors, which means that [tex]N = 12[/tex]
3 defective, which means that [tex]k = 3[/tex]
4 are selected, which means that [tex]n = 4[/tex]
To find an specific probability, that is, of x defectives:
[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 = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}[/tex]
Last year, a gardening store ordered 8,910 potted plants. This year, they ordered 9,801 potted plants. What is the percent of increase in the number of potted plants ordered annually?
Answer:
Step-by-step explanation:
100(9801 - 8910)/8910 = 10%
Find the volume in cubic centimeters of a cube with a side length of 5 cm
Answer:
125 cm3
Step-by-step explanation:
V = l * w * h
V = 5 * 5 * 5
V = 125 cm3
Answer:
125 cm^3
Step-by-step explanation:
To calculate the area of a cube, just do the side length to the power of 3.
5^3=125
Hello hello helppppppppppppp
Answer:
the person anove is correct
Step-by-step explanation:
A nature preserve worker calculates there are 6,000 deer in Sharon Woods Park. She also estimates that 75 more deer die than are born each year.
a. Write a linear function to estimate how many deer will be in the park in x years.
b. Use the linear function to predict how many deer will be in the park in 3 years.
c. In how many years will there be 5,325 deer left in Sharon Woods Park?
The linear equation used to represent this situation is y = -75x + 6000
A linear equation is in the form:
y = mx + b;
where y, x are variable, m is the slope of the line and b is the y intercept.
Let y represent the amount of deer present in x years. There are 6000 deer presently, hence a = 6000. Also 75 more deer die than are born each year. Hence m = -75.
The linear equation is given by:
y = -75x + 6000
In 3 years:
y = -75(3) + 6000
y = 5775
For there to be 5325 deer:
5325 = -75x + 6000
x = 9 years
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Maplewood Furniture Store is having a sale on dining room furniture. When a customer purchases a set of dining chairs, a one-time discount of $55 is applied to the total. During the sale, Rhianna buys a set of 6 chairs that match the table she inherited from her grandmother. Rhianna pays $455 in all. Which equation can you use to find the regular cost, c, of each chair? ( ANSWERS 6c - 55 = 455, 55(c - 6) = 455, 55c - 6 = 455, 6(c - 55) = 455,) What is the regular cost of the chair
The equation used to model the regular cost of each chair at Maplewood Furniture store is given by 6c - 55 = 455
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the rate of change and b is the y intercept.
Let c represent the regular cost for x chairs. Hence:
c = mx + b
Given that a discount of $55 is applied to the total, hence, b = -55.
Rhianna buys a set of 6 chairs and pays 455, hence:
6c - 55 = 455
6c = 510
c = 85
The equation is given by 6c - 55 = 455 and the regular cost of each chair is $85
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How do you solve multistep equations with variables on both sides
of the equals sign?
5x - 8 = 3x + 12
- 3x -3x
You have to subtract them both.
2x - 8 = 12
What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
Step-by-step explanation:
What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
find the answer pleasere
Answer:
b is the answer f(e) gives us b
(–5) + [(–3) + (–2)] = [(–5) + (–2)] + (–3) answer it fast as you can
if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?
Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
There are 9 rolls, hence [tex]n = 9[/tex].Of the six sides, 2 are 3 or 4, hence [tex]p = \frac{2}{6} = 0.3333[/tex]The desired probability is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
Then
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026[/tex]
[tex]P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117[/tex]
Then:
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857[/tex]
0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
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Help me plz it’s number 11 I need this urgent
Answer:
f = -9
Step-by-step explanation:
3(x)
3(-9)
-27
What happens to the median of the data set
{10, 2, 8, 9, 5, 2, 6} if the number 12 is added to the data set?
A. The median increases by 2.
B. The median decreases by 1.
C. The median does not change.
D. The median increases by 1.
Answer:
D
Step-by-step explanation:
Median- The average
The average can be found by adding the numbers together and dividing by the amount of numbers, in this case that would be 7. 10+2+8+9+5+2+6=42. 42÷7= 6. So the average before 12 is 6. 42+12 is the total adding that 12 and would equal 54. 54÷8=6.75, averaging out to 7. The average increased by about 1. So, the answer is D.
Answer: D. The median increases by 1.
Step-by-step explanation: This is correct.
HELP ME PLEASEEEEEEE I WILL GIVE POINTS AND BRAINLIEST
What is the product of 3.4 × 10−14 and 1.8 × 1028? (5 points)
Answer:
1874.4
Step-by-step explanation:
First multiply 3.4 and 10
34
Then subtract 14 from 34
24
Then multiply 1.8 by 1028
1850.4
Lastly add 1850.4 and 24
1874.4
Answer:
7.987
Step-by-step explanation:
Just use your head man
HELP PLEASE FASTTT !! ANYONE??!
Answer: The angled line on graphs!
Step-by-step explanation: :)
At the end of the Crimson Comet's soccer season, Coach Jackson hosted a party for the players. He had 20 players on his team and ordered enough extra large pizzas for each player to eat 3 slices. Extra large pizzas have 10 slices each and cost $17. How much did all the pizzas cost?
Answer:
correct answer is explained in the picture attached (tap on the image to view it fully)
What is the area of a rectangle that has side lengths of 7 yard and yard?
10 square yard
18
20
square yard
15
24 square yard
8
square yard
My Progress
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is it like mutiplying and dividing
The area of the rectangle that has side lengths of 7 yards and 3 yards is 21 square yards.
What is the rectangular shape?Rectangles are quadrilaterals having four equal vertices and parallel sides that are equal to one another.
To find the area of the rectangle that has side lengths of 7 yards and 3 yards, use the formula as described below,
the area of the rectangle = length x width of the rectangle.
Substituting the value of the side lengths to the formula,
The area of the rectangle = 7 x 3
The area of the rectangle = 21 square yards.
Therefore, the area is 21 square yards.
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8/9 write simplified
Is the relationship between x and y proportional? Explain.
x y
5 25
6 30
7 35
8 40
Answer:
yes
Step-by-step explanation:
because
5/25=1/5
6/30=1/5
7/35=1/5
8/40=1/5
plz tag in brainlist...
Elise works for a company that provides short-term loans to working people
who promise to pay back the loan from their next paycheck. Elise works for a
A. payday lender
B. mortgage bank
C. title company
D. credit union
The answer to your question is "payday lender"
Elise works for a payday lender.
What is loans?A loan is when money is given to another party in exchange for repayment of the loan principal amount plus interest.
As, Elise works for a company that provides short-term loans to working people who promise to pay back the loan from their next paycheck.
So, the pay lender is an organization that lends money to customers who must pay it back when they receive their next pay.
Hence, Elise works for a payday lender.
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Find three consecutive even integers such that the
sum of the smallest and the largest is 36.
n= smallest integer
n+2= middle integer
n+4= largest integer
n + n + 4 = 36
2n+ 4 = 36
2n=32
n= 16 which means that the smallest integer is 16
then you substitute it into the equation for the largest integer
n+4=20
16, 18, 20 is the answer
Evaluate 7+4b when b= 3
Answer:
19
Step-by-step explanation:
7+ 4(3)
7+12= 19
Mark me brainliest!!
Write an equation of the line that passes through a pair of points:
(-5-2). (4,5)
a. y=7/9x-17/9
b. y=7/9x-9/17
c. y=7/9x+17/9
d. y=-7/9x +17/9
Answer:
y=7/9x+17/9
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-2))/(4-(-5))
m=(5+2)/(4+5)
m=7/9
y-y1=m(x-x1)
y-(-2)=7/9(x-(-5))
y+2=7/9(x+5)
y=7/9x+35/9-2
y=7/9x+35/9-18/9
y=7/9x+17/9
13,22,31,...
Find the 31st term.
Find the 31st term.
Answer:
The 31st term is 283
Step-by-step explanation:
The sequence has a common difference therefore, it is an arithmetic sequence
[tex]an = a1 + (n - 1)d[/tex]
a31 = 13 + ( 31-1 ) 9
a31 = 13 + 270
a31 = 283
Victor buys5/8 kg of prawns each week. How many kilograms of prawns does he buy in 4 weeks?
Answer:
37/8
Step-by-step explanation:
5/8+32/8
5+32/8
37/8
This shape is broken up into rectangles. What is the area of the
entire shape?
Answer:
38inch2
Step-by-step explanation:
3inch*2inch+8inch*4inch
=6inch2+32inch2
=38inch2
If a number has 8 as a factor, then both 2 and 4 are factors
Yes, that is correct because 2 and 4 can both go into 8 making it a factor of the number you are talking about. ANSWER: That is true
there are 4 girls who play ping pong after school each girl played exactly three games of ping Pong with each of the other girls how many games of ping Pong with plate altogether
There are total 12 games of ping pong with play altogether by girls.
What is mean by Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Total number of girls who play ping pong game after school = 4
And, Each girl play 3 games of ping Pong with each of the other girls.
Now,
Since, Total number of girls = 4
And, Each girl play 3 games of ping Pong with each of the other girls after school.
Hence, Total number of games of ping pong game with play altogether by girls is;
= 4 x 3
= 12
Therefore,
There are total 12 games of ping pong game with play altogether by girls.
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The penalty box on a soccer field extends
54 ft from the goal line. The line where a
player gets to take a penalty kick is 12 yards
from the goal line. What is the ratio of the
distance from the goal line and where a
player takes a penalty kick?
Answer:
I dont know sorry
next time
Francis owns a cake shop. She is currently preparing cupcakes (x) and cookies (y) for two birthday
parties. The first birthday party ordered 20 cupcakes and 40 cookies and their total cost was $61. The second birthday party ordered 30 cupcakes and 30 cookies. Their total cost was $64.50.
The cost of cupcakes is $1.25 and cookies costs $0.90.
Two equations that would be used to determine the required values can be derived from this question:
20x + 40y = 61 equation 1
30x + 30y = 64.50 equation 2
In order to determine the value of y, the following steps would be taken: Multiply equation 1 by 3 and equation 2 by 2.
60x + 120y = 183 equation 3
60x + 60y = 129 equation 4
Subtract equation 4 from 3
60y = 54
Divide both sides of the equation by 60
y = $0.90
Substitute for y in equation 1
20x + 40(0.9) = 61
20x + 36 = 61
20x = 61 - 36
20x = 25
x = 25 / 20
x = $1.25
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