Answer:
0.8401 = 84.01% probability that there is at least one business passenger.
Step-by-step explanation:
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.
In this question:
Samples of 5, so [tex]n = 5[/tex]
90 passengers, so [tex]N = 90[/tex]
27 traveling on businnes, so [tex]k = 27[/tex]
Probability that there is at least one business passenger.
Either none are on business, or at least one is. The sum of these probabilities is 100% = 1.
Probability of none on business:
[tex]P(X = 0) = \frac{C_{27,0}*C_{63,5}}{C_{90,5}} = 0.1599[/tex]
Probability of at least one business passenger:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1599 = 0.8401[/tex]
0.8401 = 84.01% probability that there is at least one business passenger.
lindsay sounds a spinner once and then flips a fair coin twice, the spinner is shown below. what is the probability of the spinner landing on an odd number and the coin landing on tails both times
Answer: The probability is that it has a 50/50 chance of landing on either side
Step-by-step explanation:
4x - 2 - 8x = 22
help
Answer:
x = -6
Step-by-step explanation:
4x - 2 - 8x = 22
-4x - 2 = 22
-4x = 24
4x = -24
x = -6
Maya's test score average decreased by 18 points this semester.
Write a signed number to represent this change in average.
Answer: -18
Step-by-step explanation:
It is decreasing so the now will become negative since it is same as losing some points.
The value of A is? The value of B is?
Answer:
C+B
Step-by-step explanation:
you add A + B = C
Answer:
A=10
B=35
Step-by-step explanation:
On planet Umpt, there are 8 mimstoons to every 11 hoots. If farmer grapple has 60 hoots on his Kent farm, how many mimstoons are on the farm?
Answer:
480/11
Step-by-step explanation:
8:11 as x:60
480 = 11x
x= 480/11
Pls mark Brainiest :)
i’ll give brainliest!!!
14a. =
15b. 2/3 is less than 0.667
16c. 3 7/8 is greater than 3.375
17d. 3/8 is less than 1/2
Consider the original trapezoid and the reduction.
A trapezoid has corresponding side lengths of 13.5 centimeters and 9 centimeters. Side A corresponds to a side with length 3 centimeters.
Figures not drawn to scale.
What is the length of side A, in centimeters, on the reduced trapezoid?
1
1.5
2
4.5
Answer:
2
Step-by-step explanation:
yaw
Answer:
2
Step-by-step explanation
Got it correct in Edgen :D
Certain pieces made by an automatic lathe are subject to three kinds of defects X, Y, Z. A sample of 1000 pieces was inspected with the following results: 2.1% had type X defect. 24% had type Y defect. 2.8% had type Z defect. 0.3% had both type X and type Y defects. 04% had both type X and type Z defects. 0.6% had both type Y and type Z defects. 0.1% had type X, type Y, and type Z defects. Draw a Venn Diagram, then find:
(a) What percent had none of these defects?
(b) What percent had at least one of these defects?
(c) What percent were free of type X and/or type Y defects?
(d) What percent had not more than one of these defects?
Answer:
a) % age of samples containing none of these defects = 93.9%
b)% age of samples containing at least one of these defects = 6.1%
c) % age of samples free of type X and/or type Y defects = 95.8%
d) %age of samples with not more than 1 defect = 98.9%
Step-by-step explanation:
Data Given:
Number of Samples = 1000
Type X defect = 2.1% = 21 samples
Type Y defect = 2.4% = 24 samples
Type Z defect = 2.8% = 28 samples
Both Type X and Y defect = 0.3% = 3 samples
Both Type X and Z defect = 0.4% = 4 samples
Both Type Y and Z defect = 0.6% = 6 samples
Type X and Y and Z defect = 0.1% = 1 sample
Venn Diagram is attached in the attachment below. Please refer to attachment for the Venn Diagram.
a) % age of samples containing none of these defects.
Solution:
Number of samples containing none of these defects = Total - Samples with defects
Number of samples containing none of these defects = 1000 - { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
Number of samples containing none of these defects = 1000 - { (21) + (24) +(28) - (3) -(4) - (6) + (1) }
Number of samples containing none of these defects = 1000 - 61
Number of samples containing none of these defects = 939
% age of samples containing none of these defects = 939/1000 x 100
% age of samples containing none of these defects = 93.9%
b) % age of samples containing at least one of these defects:
We have already calculated this above, number of samples containing at least on of these defects:
number of samples containing at least on of these defects = { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
number of samples containing at least on of these defects = { (21) + (24) +(28) - (3) -(4) - (6) + (1) }
number of samples containing at least on of these defects = 61
% age of samples containing at least one of these defects = 61/1000 x 100
% age of samples containing at least one of these defects = 6.1%
c) % age of samples free of type X and/or type Y defects.
For this find, we need to find the samples with only Z Type defect.
Number of Samples with Only Z type defects = { (Type Z) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
Number of Samples with Only Z type defects = { (28) -(4) - (6) + (1) }
Number of Samples with Only Z type defects = 19
Now, we also know the number of samples without any defects = 939
Now,
The number of samples free of type X and/or type Y defect = Sum of Number of Samples with Only Z type defects and number of samples without any defects
The number of samples free of type X and/or type Y defect = 19+939
The number of samples free of type X and/or type Y defect = 958
% age of samples free of type X and/or type Y defects = 958/1000 x 100
% age of samples free of type X and/or type Y defects = 95.8%
d) %age of samples with not more than 1 defect:
For this find, we need to find number of samples with only X type and with only type Y and with only type Z.
We have already found the number of samples with only Z type defect = 19
Now,
number of samples with only X type defect = { (Type X) - (Both X and Z) - (Both X and Y) + (All defects X and Y and Z) }
number of samples with only X type defect = { (21) -(4) - (3) + (1) }
number of samples with only X type defect = 15
Similarly,
number of samples with only Y type defect = { (Type Y) - (Both Y and Z) - (Both X and Y) + (All defects X and Y and Z) }
number of samples with only Y type defect = { (24) -(6) - (3) + (1) }
number of samples with only Y type defect = 16
For,
samples with not more than 1 defect = number of samples with only Y type defect + number of samples with only X type defect + number of samples with only z type defect + number of samples without any defects
samples with not more than 1 defect = 939 + 16 + 15 + 19
samples with not more than 1 defect = 989
%age of samples with not more than 1 defect = 989/1000 x 100
%age of samples with not more than 1 defect = 98.9%
What is the arithmetic mean of the following numbers?
8 10 8 5 4 7 5 10 8
What is the solution to the equation? sqrtx + 3 = 12 HINT: It's not C.
A. 225
B. 81
C. 3
D. No solution
Given the equation: - 4 √x - 3 = 12
solve for x;
Divide both sides by -4 in [1]; we get;
√x - 3 = -3
Squaring both sides we get;
x -3 = (3)²
or
x - 3 = 9
Add 3 both sides we get;
x - 3 + 3 = 9 + 3
Simplify:
x= 12
Extraneous solution states that it is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.
Substitute x= 12 in [1]
- 4√12 - 3 = 12
- 4√9 = 12
-4. 3 = 12
-12 = 12 False.
Therefore, the value of x is 12 and it is an extraneous solution.
Learn more about equations at
https://brainly.com/question/2972832
#SPJ2
Suppose you have $245. If you decide to spend it all on ice cream, you can buy 70 pints. If the price of a glass of lemonade is 2.7 times less than the price of ice cream, how much lemonade can you buy if you decide to spend all your money on it
Answer:
198
Step-by-step explanation:
From the equation, the number of lemonade will be 306.
How to solve the equation.Since when the person has $245 and decide to spend it all on ice cream, the person can buy 70 pints, the cost of one will be:
= $245/70
= $3.5
The price of a glass of lemonade is 2.7 times less, the price will be:
= $3.5 - $2.7
= $0.8
Therefore, the number of lemonade that can be bought will be:
= 245/0.8
= 306
Learn more about equations on:
https://brainly.com/question/13763238
There are 40 children and 12 adults going on a trip to New York City by car. Each car can hold a maximum of 5 people. What is the least number of cars needed for the trip?
Answer:
Number of cars needed for the trip = 11
Step-by-step explanation:
Given that:
Number of children = 40
Number of adults = 12
Total number = 40 + 12 = 52 people
Each car can hold 5 people.
Number of cars = [tex]\frac{52}{5}[/tex]
Number of cars = 10.4
Rounding off to next whole number as one car can hold a maximum of 5 people.
Number of cars = 11
Hence,
Number of cars needed for the trip = 11
Convert to an improper fraction.
2 1/5
Answer:
11/5
Step-by-step explanation:
2 x 5 = 10
10 + 1 = 11
11/5
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES
Answer:
the answer is
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
it is A
1 A rectangular picture frame has perimeter
70 cm.
a The width of the frame is x cm. Find an
expression, in terms of x, for the height
of the frame.
b Find an equation for the area of the
frame, Acm?, in terms of x.
c Plot the graph which shows how A
varies with x. Use a suitable domain and
range. Hence sketch the graph on paper.
d Find the x-intercepts of the graph in part c.
e State what these two values of x represent.
f Hence find the equation of the graph's
line of symmetry, and state what this
tells you in the context of the problem.
At Mario's restaurant, 59% of his plates are dirty. If there are 118 dirty plates, how many plates are there total?
9514 1404 393
Answer:
200
Step-by-step explanation:
If P is the total number of plates, we have ...
0.59P = 118
P = 118/0.59 = 200
There are 200 plates total.
Express each ratio as a fraction in simplest form 16 feet out of 40 feet
Answer:
Step-by-step explanation:
Start by dividing top and bottom by 4
16 / 4 = 4
40/4 = 10
The result so far is 4/10
But 4/10 is not the answer. You can divide 4 and 10 by 2
4/2 = 2
10/2 = 5
Answer: 2/5
I GIVEEE BRAINLISTTTTT
Answer:
the ones with 16 dollar jeans
answer ???????????????????????
Answer:
6a + 6 is answer
Step-by-step explanation:
may be this is helpful!
Find the soluition of equation 2(2x+3)=-4+2(2x+5)
Answer:
x=0
Step-by-step explanation:
2(2x+3)=-4+2(2x+5)
4x+6=-4+4x+10
4x-4x=-4+10-6
x=0
Answer:
0
Step-by-step explanation:
4x+6=4x-4+104x+6=4x+6=0Solve 3|x – 6| = 12. Question 13 options: No solutions x = 4 or x = –4 x = 10 or x = 2 x = 2
Answer:
x=10
Step-by-step explanation:
divide by 3 on both sides then add 6 on both sides
Answer:
the answer is x=10, x=2
Step-by-step explanation:
hope that helps
2+4x=2(2x+1)
Which statements are true?
Select each correct answer.
There is no value for x that will make the equation true.
The equation is an identity,
The solution is 2.
There are infinitely many solutions.
The equation is a contradiction.
There are no solutions.
The equation is true for all values of x.
PLZ HELP I WILL GIVE YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
worth 20% of my grade
Answer:
d
Step-by-step explanation:
yw can i have brainliest since this is prob the right answer
Which of the following expressions is equivalent to 5 + 2(10 – 3)?
1. 7(10 – 3)
2. 70 – 3
3. 5 + 20 – 3
4. 5 + 2(7)
Answer:
4
Step-by-step explanation:
1. 7(10-3)
7×7
49
2. 70-3
67
3. 5+20-3
25-3
22
4.5+2(7)
5+14
24
5+2(10-3)
5+2×7
5+14
24
Carpeting costs $9.95 per yard. If Jamie buys 8 yards, how much will it cost him?
Answer:
$79.6
Step-by-step explanation:
9.95 x 8 = 79.6
Simplify secxcscx/1+tan^2x.
Answer:
It's cot x :)
Step-by-step explanation:
I'm not really good at explaining,but I know that's the answer :))
question 4/3 y=1 what is y?
Answer:
y= 3/4
Step-by-step explanation:
Answer:
y=3/4
Step-by-step explanation:
4/3y=1
divide both sides by 4/3
1 divided by 4/3 is 3/4 so:
y=3/4
how much water must be added to a 9-liter solution that contains 3% extract on baneberry to get a solution that contains 2% extract of baneberry
Answer:
Amount water added = 4.5 L
Step-by-step explanation:
Given:
Amount of solution = 9 L
Amount of bane-berry = 3% of 9 L = 0.27 L
Computation:
Assume;
Amount water added = x L
Total solution = 9+x L
New percentage of bane-berry = 0.27x100/(9+x)
2 = 0.27*100/(9+x)
x = 4.5 L
Amount water added = 4.5 L
40 POINTSSS AND BRAINLIEST 40 POINTS
-4y + 6x = -48
The x-intercept is ______
The y-intercept is ______
Answer:
the x intercept is x=-8
the y intercept is y=12
Step-by-step explanation:
Solve each problem by graphing
Y=-5x+3
Y=-5x-3
Answer:
I don't have graphing paper but this problem will have no solution. It will create two parallel lines going downwards.
Step-by-step explanation:
They both have the same slope and different y intercept so they will never intersect