Answer:
X has an hypergeometric distribution, with parameters:
Size of the population is N = 18.
Size of the sample is n = 6.
Number of successes n is k = 8.
Step-by-step explanation:
The people are chosen 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]
Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time.
This means that [tex]N = 18, k = 8[/tex]
We consider a success being a person taking the test for the first time, because X is the number among the six who are taking the test for the first time.
Suppose that six of these individuals are randomly assigned to a particular examiner.
This means that [tex]n = 6[/tex]
a. What kind of a distribution does X have (name and values of all parameters)
X has an hypergeometric distribution, with parameters:
Size of the population is N = 18.
Size of the sample is n = 6.
Number of successes n is k = 8.
If 65% of Americans are overweight, how many people would be overweight in a city of 1.5 million?
Answer:
hey There
Step-by-step explanation:
This compares with 27.5 percent of those age 55 to 64 and 25.6 percent of those age 65 to 74. With respect to being overweight, 31.8 percent of the individuals 75 and older were such, while 37.9 percent of 55 to 64 year olds and 37.8 percent of individuals age 65 to 74 were overweight (figure 1).
Answer:
66.9%
i hope thats right
What is the rectangular form of 6(cos(2250)+ i sin(2250)?
9514 1404 393
Answer:
-4.24264 -4.24264i
Step-by-step explanation:
Evaluate the sine and cosine terms and multiply.
6(cos(225°) +i·sin(225°)) = 6(-√2/2 -i·√2/2)
= -3√2 -i·3√2 ≈ -4.24264 -4.24264i
Answer:The correct answer is (A) - 3√2 - 3√2 i
2/6+1/4
Show work please
And no links
Answer:
7/12
Step-by-step explanation:
1/3+1/4
convert to twelfths
4/12+3/12
7/12
Answer:
7/12
Step-by-step explanation:
2/6 + 1/4
Change the denomintors to be alike (Change the denominators to 12) 4/12 + 3/12
Multipy the top and bottom
Add
Get 7/12
Brainliest?
a cylinder has a base diameter of 20 centimeters and a height of 14 centimeters what is the volume in cubic meters to the nearest tenths place
A marketing manager wishes to determine whether a relationship exists between the number of cereal boxes (Y) sold at the company's retail store and the number of clerks on duty (X) per day. The sample data below will be used to examine this empirical problem. Calculate the slope of the regression line.
X Y
3 4
2 4
2 2
1 2
a. 0
b. 1
c. 2
d. None of the above
Answer:
I’m very unsure but I think it is b
Step-by-step explanation:
Need help 15 points pls help me
5 1/2 feet is the base of window.
Answer:
area of parllelogram =base×height
25 2/3=base×4 2/3
77/3=base×14/3
77/3×3/14=base
base=77/14=11/2=5 1/2feet
HElP ME 5th grade math
Answer:
(4.80 x 0.05) + 4.80
Step-by-step explanation:
Please answer quick just super small explanation pls hurry quick for brainlessly answerr
Answer:
A
Step-by-step explanation:
2x/√2
2x/√2 x √2/√2 = 2x√2/2
x√2
What is the greatest possible value for STATS in the cryptarithm shown here given that V = 1? [Different letters represent different digits, and no leading digit can equal 0.]
Answer:
Step-by-step explanation:
What is the ratio in simplest form 20: 10
Answer:
2:1 is the simplest form
Step-by-step explanation:
which expression is equivalent to -3x^2 +24x-43 ?
A.-3(x-4)^2-59
B.-3(x+4)^2+5
C.-3(x-4)^2+5
D.-3(x+4)^2-59
(x^2means power to the second )
Answer:
the answer is B
hope this is the answer you're looking for
Step-by-step explanation:
Please help ASAP the question is in the picture and please explain why and how u got the answer
Sasha is the manager at a factory.
Last weekend 15 employees assembled 390 identical wardrobes.
Sasha wants 1200 of these wardrobes to be assembled next weekend.
How many employees does Sasha need next weekend?
You must show your working.
The number of employees Sasha would need next weekend are = 46
Calculation of total employeesFor a weekend, 15 employees = 390 wardrobes
The number of wardrobes to be assembled next weekend= 1200
If 390 wardrobes = 15 employees
1200 wardrobes = X employees
Make x the subject of formula,
X = 1200 × 15/390
X = 18000/390
X = 46
Therefore, the number of employees Sasha would need next weekend are = 46
Learn more about employees here:
https://brainly.com/question/12831236
Easter game idea's please!
my neighborhood always throws an Easter egg hunt but this year we wanted to spice things up and add some cool game with cool prizes and snacks! any ideas?? (dont worry we wear mask at the small neighborhood party's we have)
math quick i need help hurry 15 points :)
Answer:
B
Step-by-step explanation:
I don't know how to explain it but
10/2=5 (Driver A)
20/2= 10 (Driver B)
Sorry if it's not right
On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, of planted seeds will germinate. A random sample of seeds is chosen. If these seeds are planted according to the instructions, find the probability that of them germinate. Do not round your intermediate computations, and round your answer to three decimal places.
Complete question:
On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, 63% of planted seeds will germinate. A random sample of 9 seeds is chosen. If these seeds are planted according to the instructions, find the probability that 4 of them germinate.
Answer:
[tex]P(x = 4) = 0.1376[/tex]
Step-by-step explanation:
Given
[tex]n = 9[/tex]
[tex]p = 63\%[/tex] --- proportion that germinates
[tex]p = 0.63[/tex]
Required
P(x = 4)
This question follows a binomial distribution:
[tex]P(x) = ^nC_x*p^x*(1-p)^{n-x[/tex]
When x = 4;
[tex]P(x = 4) = ^9C_4*0.63^4*(1-0.63)^{9-4[/tex]
[tex]P(x = 4) = ^9C_4*0.63^4*(0.37)^5[/tex]
[tex]P(x = 4) = 126*0.63^4*0.37^5[/tex]
[tex]P(x = 4) = 0.13763895392[/tex]
[tex]P(x = 4) = 0.1376[/tex]
Determine the missing number in the equation 3+7=+4 ANSWER QUICKLY PLEASE
Answer:
-6
Step-by-step explanation:
3+7=10
10-6=4
so 3+7-6=+4
hope this helps
Answer:
6
Step-by-step explanation:
= means the same as
3+7 = 10
therefore 4 + ?=10
10-4=6
therefore the missing number is 6
=6
Round the fraction to 0, 1/2, or 1.
4/7
Answer:
It is closer to 1/2 than anything
Step-by-step explanation:
so 1/2
3x-2y=8 2x+y=10 solve system of equations
Answer:
x=4,y=2
Step-by-step explanation:
3x-2y=8 ..........1
2x+y=10...........2
multiply equation 2 by 2 and adding equation 1 and 2 ,we get
3x-2y=8
4x+2y=20
+_________
7x=28
x=28/7=4
:.x=4
again substituting value of x in equation 1 we get
3×4-2y=8
12-8=2y
y=4/2=2
:.y=2
2/3a-7+7/18a-5 1/6 no need explanation just the answer
Answer:
19a−219/18
Step-by-step explanation:
(2)/(3)a-7+(7)/(18)a-5(1)/(6)
=19a−219/18
M is the centroid of the triangle.
CM=7, PM=10, & BQ=18
M
AM=[?]
Is it 6?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
What is the value of x in the equation 2/3x = 12
Answer:
x = 8
The value of 'x' is 8
Step-by-step explanation:
2/3(8)=12
2/(24)=12
Good luck!!
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. The ABC Electronics Company has just manufactured 2100 write-rewrite CDs, and 60 are defective. If 3 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted
Answer:
0.9167 = 91.67% probability that the entire batch will be accepted
Step-by-step explanation:
The CDs are chosen 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]
2100 write-rewrite CDs, and 60 are defective.
This means, respectively, that [tex]N = 2100, k = 60[/tex]
3 of these CDs are randomly selected for testing
This means that [tex]n = 3[/tex]
What is the probability that the entire batch will be accepted?
Probability of none defective, so P(X = 0).
[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 = 0) = h(0,2100,3,60) = \frac{C_{60,0}*C_{2040,3}}{C_{2100,3}} = 0.9167[/tex]
0.9167 = 91.67% probability that the entire batch will be accepted
what is the measurement of YVX?
Answer:
the measurement of YVX is 88°
A rectangle has vertices at P (16,16), Q(16,-16), R(-16,-16) and S(-16,16). The origin is the center of dilation and the rule of a dilation is (x,y)→(1/4x, 1/4y) What is P' of the dilated image, PQ’R’S’?
Answer:
(4, 4)
Step-by-step explanation:
So you're trying to find what P' is, and P' would be the dilation of P. This means that you apply the rule (x, y) --> (1/4x, 1/4y) with the coordinate point (16, 16). This would be:
(16, 16) --> (1/4 * 16, 1/4 * 16) = (4, 4)
Suppose the probability that it will rain tomorrow is 0.59. What is the probability that it will not rain tomorrow?
Answer:
0.41
Step-by-step explanation:
All probability equals 1. So if the probability that something will happen is x, then the probability that it will not happen is 1-x
Two swim clubs are having a membership sale. Aqua Plus is offering a two-year membership for $479.76. Water
World is offering an 18-month membership for $350.00. Which describes the swim club that has the lower-priced
offer?
O Aqua Plus has the lower cost of $239.88 per year
O Water World has the lower cost of $239.88 per year.
O Aqua Plus has the lower cost of $19.44 per month
Water World has the lower cost of $19.44 per month
Answer:
option d is correct
Step-by-step explanation:
hope this helped
Answer:
D
Step-by-step explanation:
Edge 2019
HELP! 50 POINTS!
A system of equations consists of a line s of the equation y = x - 5 that is graphed in orange, and a line t that passes through the points (0, 2) and (8, -4). The equation of line t is y = −3/4 x + 2.
What is the solution to this system of linear equations?
Answer form: ( __ , __ )
(4, -1) ---> x = 4 and y = -1
If you look at the graph you can se this
Mark points (0, 2) and (8, -4) in the coordinate plane
Plot the line going through both of these points.
Read the coordinates of the intersection of the line so you can see the solution!
Can you help me, please please!!!
Answer:
1.4/10=2/5
2.4/8=1/2
3.8/12=2/3
4.7/5=14/10
5.1/3=2/6
Ralph opened up his checking account with $100. On Monday, he withdrew $45 to purchase a pair of jeans. On Wednesday, he deposited a $25 check he received for his birthday from his uncle. On Friday, he used his debit card to buy a $98 football ticket. What is the balance in Ralph's checking account?
Answer:
The answer is -18
Step-by-step explanation:
He starts off with $100 in his account. He then take so $45 to purchase a pair of jeans, so we have to subtract 45 from 100 and that gives us $55. He now has $55 in his account, he then adds another $25 to his account, so we have to add 25 to 55 and that will give us $80 in his account. Finally on Friday he takes out $98 of his checking account. He takes out more than he has in his checking account so we have to subtract $80 from $98 and we will get $18, but since he takes out more than what he has in his account the answer will be negative and we end up with -18 dollars in his checking account.
Answer:72
Step-by-step explanation: