A cooler contains eleven bottles of sports drink: four lemon-lime flavored and seven orange flavored. you randomly grab a bottle and give it to your friend. then, you randomly grab a bottle for yourself. you and your friend both get lemon-lime.find the probability of this occurring.
Answers
The probability that you will choose a lemon-lime for your friend is the number of lemon-limes divided by the total number of drinks, 4/11.
The probability that you will subsequently choose one for yourself is the same ratio with different numbers (because a lemon-lime has already been selected), 3/10.
The probability of both of these events occurring is the product of their individual probabilities: (4/11)·(3/10) = 6/55
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please i need help i will give 15 points and mark brainlist for the best one !!!!! Which do you prefer: leaving √5 in radical form, or converting it to a decimal? Why? When would it be useful to use each? Your response should be 3-5 sentences long and show that you’ve thought about the topic/question at hand. Please be aware we are looking for YOUR PERSONAL OPINION and there is not a single “correct answer.”
Answers
The probability of getting a black king of hearts is 1/52
From the question, we have:
The number of cards in a standard deck, n = 52
Black king of heart, r = 1
The probability of getting a black king of hearts is the quotient of the number of black king of heart and the total number of cards in the deck.
So, we have:
p = 1/52
Hence, the probability of getting a black king of hearts is 1/52
Read more about probability at:
Answers
Answer:the last one
Step-by-step explanation:
Answers
Using conditional probability, it is found that there is a 0.5795 = 57.95% probability that a household has a VCR given they have a TV.
Conditional Probability
In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem:
- Event A: Household has a TV.
- Event B: Household has a VCR.
- 88% of all households have a TV, hence
.
- 51% of all households have a TV and VCR, hence
.
Hence, the conditional probability is:
0.5795 = 57.95% probability that a household has a VCR given they have a TV.
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Answer:
0.579 is the probability that a household has a VCR given they have a TV.
Step-by-step explanation:
We are given the following in the question:
Probability of all households have a TV = 88% = 0.88
Probability of all households have a TV and VCR = 51% = 0.51
We have to find the probability that a household has a VCR given they have a TV.
The conditional probability is given by:
0.579 is the probability that a household has a VCR given they have a TV.
Answers
The area of Mr. Cole’s bedroom is82 square feet. Therefore, the correct answer is option B.
Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
The given figure can be divided into two rectangles.
One with the dimensions 10 ft by 5 ft.
Other with the dimensions 8 ft by 4t.
We know that, the area of a rectangle is Length×Width.
Here, area of a rectangle with the dimensions 10 ft by 5 ft is
square feet
Area of a rectangle with the dimensions 8 ft by 4 ft is
square feet
Now, area = 50+32
= 82 square feet
Therefore, the correct answer is option B.
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Answer:
The answer is 82 square feet
Step-by-step explanation:
An easy way to do this is to split it into two rectanlges. You can do 10*5 and 8*4 as the dimensions to the two rectangles or you can do 2*4 and 9*8.
I am going to do the first option.
The area of a rectangle is length times width.
Rectangle one can be the one with the dimensions 10 and 5 and the length and width.
Rectangle two can be the one with the dimensions 8 and 4 and the length and width.
Area of rectangle one = 50 feet^2
Area of rectangle two = 32 feet^2
Since we split a large irregular shape into two bits, we must add them together, which results in 82 feet^2.
x^2 - 4x - 12 = 0
Answers
Answer: x=6, -2
Step-by-step explanation:
I'm pretty sure that's it if its not i apologize
Tom would like to take out a secured loan to help pay for a vacation this summer. He has offered his car as collateral.
His car is worth $3,500. His bank can offer loans for 80% of collateral value. The vacation he has planned will cost
$4,750. Approximately how much additional collateral will Tom need to offer in order to borrow enough to go on his
vacation as planned?
$1,000.00
b. $1,362.50
c. $2,437.50
d. $2,800.00
a.
Please select the best answer from the choices provided
A
B.
ОООО
D
Answers
Tom will need to offer additional collateral of C. $2,437.50 to borrow enough for his planned vacation.
What is collateral?
Collateral refers to a valued property or financial security offered by the borrower to the lender to guarantee repayment of a loan.
Lenders sell collaterals when the borrowers fail to comply with their loan terms.
How is the additional collateral determined?
Car's value = $3,500
Collateral value in percentage = 80%
Car's collateral value = $2,800 ($3,500 x 80%)
Planned cost of vacation = $4,750
Additional cost to meet vacation cost = $1,950 ($4,750 - $2,800)
Additional collateral value to meet target = $2,437.50 ($1,950/80%)
Total collateral that Tom needs to offer = $5,937.50 ($3,500 + $2,437.50)
80% of $5,937.50 = $4,750
Another way is to work with the planned cost and the collateral percentage offered by Tom's bank:
Planned cost of vacation = $4,750
Collateral value in percentage = 80%
Total collateral to be offered by Tom = $5,937.50 ($4,750/80%)
Car's collateral value = $3,500
Additional collateral value = $2,437.50 ($5,937.50 - $3,500)
Thus, Tom needs additional collateral of C. $2,437.50.
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