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
Can someone plz help. Will mark brainliest
Answer:
3. 73
4. 1500
Step-by-step explanation:
3. 7*9 = 63, 2*5 = 10, 63+10 = 73
4. 40*30 = 1200, 20*30 = 600 divided by 2 = 300, 1200+300 = 1500
Part A
Monica estimates the recipe makes about 5 cups of fruit salad,
Which explanation describes whether Monica's estimate is reasonable?
Not reasonable. Four fractions cannot equal more than 4 cups.
Not reasonable. The whole numbers add up to 3 so the total sum
cannot be 5 cups
Reasonable. The grapes and apples is about 2 cups and pears and
oranges is exactly 3 cups.
Reasonable. The pears and apples is about 3 cups and the grapes
and oranges is exactly 2 cups.
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Part B
What is the exact amount of fruit salad in cups?
cups
o
Enter your answer as a fraction or a mixed number.
Answer:
Part A: Choice 3) Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.
Part B: Exactly 4 11/12 cups
almost equal to 5 cups
Step-by-step explanation:
The missing part of the question is :
2 1/2 cups of pears. 2/3 cup of grapes 1 1/4 cups of apples 1/2 of orange slices .
Pears + apples
2 1/2+1 1/4 =
5/2 + 5/4
= 10+5/4
= 15/4
= 3 3/4 cups
Reasonable. The pears and apples is about 3 cups and the grapes
and oranges is exactly 2 cups. This statement is wrong.
Grapes and oranges
2/3 + 1/2
= 4+3/6
=7/6
=1 1/6 cups
grapes and apples
2/3 cup of grapes 1 1/4 cups of apples
2/3 + 5/4
= 8+15/12
= 23/12
= 1 11/12 cups
pears and oranges
2 1/2 cups +1/2 of orange slices
3 cups
Reasonable. The grapes and apples is about 2 cups and pears and
oranges is exactly 3 cups. this statement is true as shown above.
N.B the answer may vary due to the different measurements given in the missing part of the question.
Part B:
grapes and apples + pears and oranges
1 11/12 cups +3 cups
= 23/12+ 36/12
= 59/12
= 4 11/12 cups
The Chemistry Club is experimenting with different mixtures of water with a
certain chemical to make fake snow.
To make each mixture, the students start with some amount of water, and then add
1/7 of that amount of the chemical, and then 9 more grams of the chemical. The
chemical is expensive, so there can't be more than a certain number of grams of the
chemical in any one mixture. How much water can you start with so that you don't
use up too much of the chemical?
a. 1/7x + 9 < 26.25
b. 9x + 1/7 s 26.25
26.25x + 9 = 1/7
C.
d. 1/7x + 26.25 39
Answer:
Suppose we have with x, the amount of water we use (in grams).
1/7 of this will be the chemical, then we have (1/7)*x grams of chemical.
Then we add another 9g of the chemical, then we have in total:
(1/7)*x + 9g of the chemical.
And we know that the chemical is expensive, so there can't be more than a given number of grams of the chemical, because of the phrase:
"...There can't be more than..."
We will have a relation like:
(1/7)*x + 9g ≤ something.
By looking at the options, we can see that "something" = 26.25 grams
then we will have the inequality:
(1/7)*x + 9g ≤ 26.25 g
Now we can solve this for x, the amount of water used:
(1/7)*x ≤ 26.25 g - 9g
x ≤ (26.25 g - 9g)*7
x ≤ 120.75 grams
This means that the maximum amount of water we can use is 120.75 grams of water.
Please help fast....
Answer:
Step-by-step explanation:
Answer:
Volume = 1.25
Step-by-step explanation:
Length = 5 * 1/2 = 2.5
Width = 1 * 1/2 = .5
Height = 2 * 1/2 = 1
[tex]2.5 * .5 * 1 = 1.25[/tex]
Investigate the patern “13/1 family” of fractions. Use plenty of space to show what you find.
Answer:
2/1 of a family
Step-by-step explanation:
What is the total surface area of the rectangular prism?
Answer:
286.5
Step-by-step explanation:
(3 x 7.5) x 2 = 45
(11.5 x 3) x 2 = 69
(11.5 x 7.5) x 2 = 172.5
45 + 69 + 172.5 = 286.5
The county fair charges $1.00 per rode and an additional $3.00 to get in the fair. Write an equation to represent the total cost of attending the fair.
First identify the independent and dependent variables.
Answer:
Step-by-step explanation:
It's independent
Please help solve!
g(x) = 4x + 3
f(x) = 3x-4
Find (g o f)(5)
Answer:
(g o f)(5) = 47
Step-by-step explanation:
We are given a composite function:
g(x) = 4x + 3
f(x) = 3x - 4
We are supposed to find (g o f)(5), which really means g( f(x) ). So, we put the function of f(x) for every x in g(x), like this:
g(x) = 4x + 3
g( f(x) ) = 4(3x - 4) + 3
g( f(x) ) = 12x - 16 + 3
g( f(x) ) = 12x - 13
Now, we also need to evaluate for x = 5, like this:
g( f(5) ) = 12(5) - 13
g( f(5) ) = 47
The answer options is is and is not
Answer:
Question 1 is a statistical question
Question 2 is not
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary
Good afternoon or morning! Need some help with geometry.
Please only answer if you know the answer, the comment section is right below. Please don't waste my points!
Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.
The image is down below. Show work! Thanks!
Answer:
x = 20.2Step-by-step explanation:
sin = opposite / hypotenuse
sin 63° = 18/xx = 18 / sin 63°x = 20.2
A roller coaster is being designed that starts at (0,22) and ends at (19,2),
Along the ride there is a relative minimum at (5,6) and a relative
maximum at (10,18). The roller coaster is almost finished but one
section is missing. Find the correct function that completes the roller
coaster so that the ride is smooth and continuous.
Answer:
The function is, f(x) = 6·sin((π/5)(x + 3π/2)) + 12
Step-by-step explanation:
The general form of equation of a roller coaster is given as follows;
y = A·sin(B(x - C)) + D
Where;
A = The amplitude = (18 - 6)/2 = 6
D = The vertical shift = 12
One revolution = 10 unit
∴2·π = 10 unit
Therefore, 10 = 2·π/B
B = 2·π/10
The phase shift = 3·π/2
Therefore, we have the function as follows;
f(x) = 6·sin(2·π/10(x + 3π/2)) + 12 = 6·sin((π/5)(x + 3π/2)) + 12
Which statement correctly compares the spreads of the distribution
Answer:
From what I remember A is the answer but im not sure.
Answer:b
Step-by-step explanation:t
Which figures below have at least one acute angle? Mark all that appley
C and D
An acute angle is an angle less than 90 degrees.
Answer
triangle and trapezium
Which expression shows 50 4 30 written as a product of two factors
10(5 + 3)
6(10 + 7)
6(1043)
10(5 + 2)
Answer:
The answers is 10(5 + 3)
PLEASE HELP ME KSDAKJDSAJDJKS
Answer: x = 16
Step-by-step explanation:
60x - 60 = 900
60x = 960
60x / 60 = 960 / 60
x = 16
Consider the following graph.
The x y coordinate plane is given. The curve begins at (0, 5) goes down and right becoming less steep, changes direction at (1, 2) goes up and right becoming more steep, goes through the approximate point (2, 3.1), goes up and right becoming less steep, changes directions at (3, 4), goes down and right becoming more steep, sharply changes direction at (4, 1), goes up and right becoming less steep passing through the approximate point (5, 4.2) and ends at (6, 6).
(a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)
(b) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.)
(c) Find the open interval(s) on which f is concave upward. (Enter your answer using interval notation.)
(d) Find the interval(s) on which f is concave downward. (Enter your answer using interval notation.)
(e) Find the coordinates of the point(s) of inflection.
(x, y) = ( )
a)Function is increasing in intervals (1,3) and (4,6).
b)Function is decreasing in intervals (0,1) and (3,4).
c)Graph is concave upward in the interval (0,2) and (3,5).
d)Graph is concave downward in the interval (3,4).
e)Points of inflection are x=3 and x=5.
Let us make the graph of the given function. In the graph, We have connected points linearly, please consider it as a curve.
What is the point of inflection?The point of inflection or inflection point is a point in which the concavity of the function changes.
Therefore, From the attached graph, we can see that:
a)Function is increasing in intervals (1,3) and (4,6).
b)Function is decreasing in intervals (0,1) and (3,4).
c)Graph is concave upward in the interval (0,2) and (3,5).
d)Graph is concave downward in the interval (3,4).
e)Points of inflection are x=3 and x=5.
To get more about graphs visit:
https://brainly.com/question/1869945
Answer:
a.(1,3)U(4,6)
b.(0,1)U(3,4)
c.(0,2)
d.2,6
e. 2,3
Step-by-step explanation:
Looking at graph and finding intervals.
I need help and NO LINKS
What is the median of the data set?
9
8.5
8
10
Answer:
8.5
Step-by-step explanation:
When you write out the data set, it looks like this:
5, 8, 8, 8, 8, 9, 9, 9, 10, 10
The median means the exact middle of the data set. In this case, it falls between the 8 and the 9, so the middle would be 8.5, so that's the median of the set. I hope this helps :)
Answer:
The median is 8.5
Step-by-step explanation:
The median is the middle number in a data set. For example, if you had a data set:
2, 2, 3, 4, 4
You would go forwards and backwards in the set until you found the middle number, which is 3. 3 would be the median.
However, if there is no middle number (there are an even number of points in the set), you add the two remaining numbers and divide it by two.
For example, if the final two numbers were:
2, 6
You would add 2 and 6 to get 8, and divide by 2, and you get the median 4.
In this set, we have
5, 8, 8, 8, 8, 9, 9, 9, 10, 10.
The final two numbers are 8 and 9, so you add 8+9=17, divided by 2 = 8.5.
A classroom is 32 1/2 feet long, 30 feet wide, and 7 1/2 feet high what is the volume
Answer:
6000
Step-by-step explanation:
Kim bought a lawn chair that had a ticket price of $25.00. She ended up paying $26.50 after tax. If she were to buy a $40.00 patio table, how much would she have to pay after tax?
Answer:
41.50
Step-by-step explanation:
you would have to minus the 26.50 and 25.00 and then you would get 1.5 so that's how much the tax is. you would still keep the zero tho bc if there is nothing after the 5 u add zero.
Tom and Kim are playing a game in which they use a spinner with 10 sectors. One of the sectors says, "$0," four
say, "S100," three say, "$200," and two say, "$500." Use a table to show the probability distribution.
Answer:
It's C.
Step-by-step explanation:
Find the quotient of the following:
(12x^4- 3x^4+ 15x^2)
and ( - 3x)
Answer:
-4x³+x²-5x
Step-by-step explanation:
-4x³+x²-5x
Order the sides of each triangle from shortest to longest.
Answer:
FG, GH, FH
Step-by-step explanation:
H=180-100-50=30°
Since H is the smallest degree, the side opposite it (FG) is the shortest length.
Since F is the middle degree, the side opposite it (GH) would be the middle length.
Since G is the highest degree, the side opposite it (FH) would be the longest.
FG, GH, FH
Answer asp
__% of 75 is 25
33% of 75 is 25... Hope that helps!!
Help ASAP pls im giving away all of my points!!
Do you think you would have liked to have been a participant in Biosphere 2? Why or why not?
Answer:
NO. It sounds terrifying, and nearly deadly with the lack of oxygen..all the pollution from things like cars and factories, the littering, the deforestation, the animals that are either endangered or extinct.
Step-by-step explanation:
Impossible question please help
Answer:
x axis comes first before the y
Answer:
???? :( Its really impossible question for me
The figure shows the dimensions of a rectangular storage room. Darnell
has boxes that are cubes with edges 1 1/2 ft long. What is the maximum
number of boxes that Darnell can fit in the storage room? Explain.
10 ft
6 ft
8 ft
help meee plss it’s timed !!
Answer:
i did it to its C
Step-by-step explanation:
mark me pls
Answer:
D
Step-by-step explanation:
use Pythagoreans theorem to solve (a^2+b^2=c)
Will give brainiest if right
Two trains started moving at the same time, train A from Boston to
New York, and train B from New York to Boston. The distance
between the train stations in New York and Boston is 240 miles. The
average speed of train A is 60 mph, which is 3/4 of the average
speed of train B.
How soon will the trains meet?
Your answer would be after 1.7 hours
What percent is equivalent to 0.25%
Answer:
the percent is 25% lol
Step-by-step explanation:
Decimal .25
percent 25%
fraction 1/4
Answer:
0.25
Step-by-step explanation: