A batch of 400 containers for frozen orange juice contains 5 that are defective. Two are selected, at random, without replacement from the batch. 26. What is the probability that the second one selected is defective given that the first one was defective? HINT: Note that you are only calculating a probability for the second draw conditional on what happened in the first draw. 27. What is the probability that both are acceptable? 28. If three are selected without replacement, what is the probability that all three are defective?
Answer:
0.0100250
0.0001566
0.0000009445555
Step-by-step explanation:
Given the following :
Total number of containers = 400
Number of defective oranges = 5
2 are randomly selected without replacement :
A.) What is the probability that the second one selected is defective given that the first one was defective?
Since selection is without replacement and given that the first pick is defective ; number of defective oranges left = 4 ; total oranges left in container = (400 - 1) = 399
Hence,
Probability = (required outcome / Total possible outcomes)
P(2nd defective given 1st is defective) = 4 / 399
27. What is the probability that both are acceptable?
This means probability that both picks aren't defective.
Ist pick = 1 - P(defective) = (1 - (395/400) = 0.0125
2nd pick = 1 - P(defective) 1 - (394/399) = 0.0125313
.Hence, 0.0125 × 0.0125313 = 0.0001566
28. If three are selected without replacement, what is the probability that all three are defective?
1st pick = 5 / 400 = 0.0125
2nd pick = 4 / 399 = 0.0100250
3rd pick = 3 / 398 = 0.0075376
Hence, (0.0125 × 0.0100250 × 0.0075376) = 0.0000009445555
What is 6 5/7 as a improper fraction What is 6 5/7 as a improper fraction?
Answer:
47/7
Step-by-step explanation:
6 5/7
=6×7+5/7
=47/7
The value of improper fraction is, 47/7.
What is Fraction?The number is expressed as a quotient in which the numerator is divided by the denominator is called fraction.
We have to given that;
The fraction is,
⇒ 6 5/7
Now, We can write the improper fraction as;
⇒ 6 5/7
⇒ (6×7 + 5) / 7
⇒ 47 / 7
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help? 5/12 + 5/8
(spam cause i need 20 characters)
Answer:
1 1/24
Step-by-step explanation:
5/12 + 5/8
We need a common denominator of 24
Convert the first number to have a denominator of 24
5/12 *2/2 = 10/24
Convert the second number to have a denominator of 24
5/8*3/3 = 15/24
Add the two converted numbers together
10/24 + 15/24
25/24
Change from an improper fraction to a mixed number
24/24 + 1/24
1 1/24
Answer:
25/24
Step-by-step explanation:
5/12 * 1 = 5/12
1 = 2/2
5/12 * 1 = (5/12) * (2/2) = (5*2)/(12*2) = 10/24
3/3 = 1
5/8 * 1 = (5/8) * (3/3) = (5*3)/(8*3) = 15/24
then:
(5/12) + (5/8) = (10/24) + (15/24) = (10+15) / 24 = 25/24
Alondra deposits 1/2 of the money she earns from working at her uncle’s mechanic shop and 3/4 of her baby-sitting money into her savings account. In one month she earned $250 at her uncle’s shop and received $80 for baby-sitting. How much did she deposit in her savings account that month? Group of answer choices need answer quick
Answer:
$185
Step-by-step explanation:
First, find the amount that she deposited from her uncle's shop:
250(1/2)
= 125
Then, find how much she deposited from baby sitting:
80(3/4)
= 60
Add these 2 values up:
125 + 60
= 185
So, she deposited $185 that month
How to solve this question ?
Step-by-step explanation:
eight times the difference of 2 and a number would be 8 × (2-x)
Help the question is in this picture
Answer: C
Step-by-step explanation:
Answer:
7x^2+2x+3
Step-by-step explanation:
Add all the like terms
If you get it right I will give brainiest.
Your math test scores are 76, 85, 92, and 63. What is the lowest score you can earn on the next test and still achieve an average of at least 75?
Hey there! I'm happy to help!
We have 5 test scores that give us an average of at least 75.
76, 85, 92, 63, x
We add these all up and divide by 5 to get 75.
Let's go backwards to find x.
We multiply by 5.
75(5)=375
We subtract all of the numbers except for x.
375-76-85-92-63=59
So, you need to earn at least 59 on the next test to achieve an average of at least 75.
Have a wonderful day! :D
There are 321 crayons in a box and 204 crayons on the floor. About how many fewer than 1,000 crayons are there? Estimate. Then solve. The estimated number of crayons fewer than 1,000 is . The exact number of crayons fewer than 1,000
Answer:
See below
Step-by-step explanation:
The estimated number:
300 + 200 = 500The difference between the estimated number an 1000 is:
1000 - 500 = 500The exact number:
321 + 204 = 525The difference between the exact number and 1000 is:
1000 - 525 = 475Find the missing side?
Answer:
Hey there!
Pythagorean Theorem: a^2+b^2=c^2
16+25=c^2
41=c^2
c=6.4
Let me know if this helps :)
What is the value of n?
Standard Form When a polynomial is written in order from the ________________ exponent to the ________________exponent
Answer:
largest
Smallest
Step-by-step explanation:
The manager of a movie theater randomly surveyed 50 people who entered the movie theater on Friday. The manager asked about the
type of movie each person preferred. The results of the survey are shown in the table.
Survey Results
Type of Movie Number of People
Horror
12
Comedy
15
Action
17
Drama
6
Based on the results in the table, which statement about a person who will go to this theater next Friday is true?
O A. The person is three times as likely to prefer comedy as horror.
OB. The person is twice as likely to prefer drama as horror.
o C. The person is less likely to prefer horror or drama than action.
D. The person is more likely to prefer horror or comedy than action or drama.
Answer:
D.
Step-by-step explanation:
Horror (12) + Comedy (15) = 27
Action(17) + Drama(6) = 23
27 > 23
The statement that is true is a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As is given that the total number of people surveyed is 50, while the table suggests the preferences of the people about the movie.
Therefore, if take the probability of a person watching a horror or comedy movie it will be,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
[tex]\rm Probability=\dfrac{\text{Number of people preferring Horror or comedy}}{\text{Total Number of people surveyed}}\\\\Probability = \dfrac{12+15}{50} = 0.54[/tex]
The probability of a person watching an action or drama movie it will be,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
[tex]\rm Probability=\dfrac{\text{Number of people preferring Action or drama}}{\text{Total Number of people surveyed}}\\\\Probability = \dfrac{17+6}{50} = 0.46[/tex]
Since the probability of a person watching a horror or comedy movie is more, therefore, a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.
Thus, the statement that is true is a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.
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Choose the correlation coefficient that would best fit the data in the scatter plot below."
600
500 -
Max distance to read sign
400
300 -
15
25
35
45
75
85
55 65
Driver Age (years)
41
78
98
no correlation
-78
35
b/4 + 1/7 = 15, what is b?
Answer:
b= [tex]\frac{416}{y}[/tex] = 59.429
Answer:
b = 416/7
Step-by-step explanation:
b = 416/7 or you could say 59.4
What is the answer to 4/15 - 1/9?
Answer:
7/45
Step-by-step explanation:
I hope this helps!
Hank is a salaried plus commission employee. Hank has a monthly salary of $2,500 and earns 5.5% commission on all
sales. Which of the following expressions represents Hank's total earnings in one month if he has $6,300 in sales?
a. 2,500 + (0.055)(6,300)
b. 2,500 + (5.5)(6,300)
C. (2,500) (5.5) + 6,300
d. (2,500) (0.055) + 6,300
Answer:
the answer is A.
Step-by-step explanation:
took the test just now
The right expression for the salary will be 2500 + (0.055)(6300). The correct option is A.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Hank is a salaried plus commission employee. Hank has a monthly salary of $2,500 and earns a 5.5% commission on all sales.
The expression for the salary can be written as below:-
Salary = 2,500 + (0.055)(6,300)
Here part 2500 will be the fixed salary and (0.055)(6300) will be commission part.
Therefore, the right expression for the salary will be 2500 + (0.055)(6300). The correct option is A.
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I need help I don't get this question
Answer:
6 Books
Step-by-step explanation:
If he read 3 books for 8 week that is 24 books and then 30-24 is 6
Answer:
6 more books
Step-by-step explanation:
8*3 is 24 and he needs to read 30 books so 30-24 is 6, so he needs to read 6 more books.
Bob and Tom each have a bag of 100 chocolate candies. Bob has 53 left and Tom has
Part A
Color in each picture to show how many pieces of candy each boy has left
Bob
Tom
Part 3
Use decimals and symbols to show which boy has more candies left
В І цах, х
2020 luminate Education in
Answer:
He has 47
Step-by-step explanation:
if one guy has 50 it wold make sense to give the other 50 but since he has 53 then he must have 47
in the standard (x,y) coordinate plane, what is the slope of the line 4x+7y=9?
Answer: -4/7
Step-by-step explanation:
To find the slope, let's change the equation to slope-intercept form.
[tex]4x+7y=9[/tex] [subtract both sides by 4x]
[tex]7y=-4x+9[/tex] [divide both sides by 7]
[tex]y=-\frac{4}{7}x+\frac{9}{7}[/tex]
Now, we know the slope is -4/7.
14. Food bill: $80.40
Sales tax: 5%
Tip: 10%
Answer:
Determine the total coast
total cost=orignal price+sale tax+tip Write the formula
=80.40+5% . 80.40+10%.80.40 subtitute the values
=80.40%0.05.80.40+0.10.80.40 Show percent as decimal
=80.40+4.02+8.04 Multiply the values
=92.46 Add the values
Step-by-step explanation:
x/2 - 4=-16 wha would x equal
Answer: -24
Step-by-step explanation:
x/2= -16+4
x/2= -12
x= -12 x 2
x= -24
Answer:
x = -24
Step-by-step explanation:
Add the same term to both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Simplify
which table has a constant of proportionality between Y and X of 1/6?
Answer:
C.
Step-by-step explanation:
Hope it helps!!
Answer:
C
Step-by-step explanation:
khan also person above
Can someone help me thats really good at math and knows what there doing). Victoria is 4 years older than her neighbor. The sum of their ages is no more than 14 years. Enter an inequality that can be used to represent this situation in tbe box, where x represents Victoria's neighbor's age. ( Will Mark Brainliest need to get an excellent grade
v is 4 more tha x
v=4+x
sum is no more than 14
v+x≤14
sub 4+x for v
4+x+x≤14
4+2x≤14
minus 4 both sides
2x≤10
divide both sides by 2
x≤5
5+4=9
the neighboor's age is 5 years
and victoria is 9
Write the following numbers in Scientific Notation.
1. The current United States national debt is about $26.5 trillion.
2. The speed of light is about 299,000,000 meters/second.
3. The diameter of an atom is approximately 0.0000000001 meters.
4. Suppose you want to download a file that is 2.6 gigabytes. If you have an average download speed of 30 megabytes/second, how long will it take to download the file?
Answer:
29.9 to the 6th power for number 2
0.1 to the -9 th power
i think lol
its better than ?
Step-by-step explanation:
what is 50000000 divided by 5000000
Answer:
10
Step-by-step explanation:
because if you divide it by it self that is what it is
Answer:
10
Step-by-step explanation:
50 million divided by 5 million would be 10. what you do is if the 5 is the same then it is one, after that since 50 million has 1 more zero then 5 million then you add a zero to the right of one. Therefore the answer is 10.
hope I helped.
HI this is problably the hardest question for me to do in my head without Alexa or google but here's my question " I get money for my grades I have 7 classes, and each A+ gives me 10 dollars (lets just say I'm a perfect student and get A's always) but I only get money on my final grade, every final grade appears every 9 weeks" so here's the thing how much money can I get before the year ends?
write 14,000,000,000 in powers of 10
Answer:
Step-by-step explanation:
1.4 x 10^10
Simplify the expression: 5(n − 6)
Answer:
5n-30
Step-by-step explanation:
5 times n= 5n. 5 times -6 is -30. 5n-30.
4. Thoughtful Politicians [This problem setting is due to Prof. James Norris of Cambridge University.] In a group of 100 politicians, 40 are in Party I and 60 are in Party II. Members of Party I are incapable of changing their minds about anything. Members of Party II change their minds completely randomly every day, independently of all others and also independently of all evidence. Tomorrow, the politicians are going to vote on Proposition 88. Here is a summary of their opinions today. Of the 40 members in Party I, 25 are in favor of Prop 88 and 15 are against. Of the 60 members in Party II, 10 are in favor and 50 are against. Assume that each member in Party II changes their mind based on the toss of a coin: if it lands heads they switch to the opposite opinion and if it lands tails they don't change their mind. a) What is the distribution of the number of members in Party II who will favor Prop 88 tomorrow
Answer:
Step-by-step explanation:
The focus is on Party 2, because as already said, Party 1 members NEVER change their minds on anything!
There are 60 politicians in Party 2. They change their minds completely-randomly every day.
Tomorrow, the politicians will vote on a proposition: Proposition 88, but today, 10 are in favor of it while 50 are against it.
Each member changes their mind based on the toss of a coin (a fair/unbiased coin; since it was not stated that the coin is biased). A fair coin has a 0.5 probability of landing HEADS and same 0.5 probability of landing TAILS.
What is the distribution of the number of members in Party II who will favor Prop 88 tomorrow?
The number of figures in the distribution will depend on the number of times the coin is tossed, between today and tomorrow.
KEY: Assuming the coin is tossed 12 times between today and tomorrow AND assuming that half of the time - 6 times - it landed HEADS and half of the time, TAILS (Head and Tail simultaneously).
Beginning with HEADS, the distribution of the number of members who will favor the proposition tomorrow, is:
50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10
