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Mariulka [41]
2 years ago
8

Kobe wants to organize his toys. His box has a width 2 2/3 feet, length 3 1/3 feet, and height 2 1/3 feet?

Mathematics
1 answer:
Tanya [424]2 years ago
3 0

Answer:

Cubic feet = Length (3 1/3 feet) x Width (2 2/3 feet) x Height (2 1/3 feet)

Step-by-step explanation:

3 1/3 x 2 2/3 x 2 1/3 = approximately 20.74 cubic feet

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When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial
Serjik [45]

Answer:

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

Step-by-step explanation:

For each test, there are only two possible outcomes. Either it is positive, or it is negative. The probability of a test being positive or negative is independent of any other test, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability of an individual blood sample testing positive for the virus is 0.06.

This means that p = 0.06

If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture.

It will be positive if at least one of the tests is positive, that is:

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.06)^{0}.(0.94)^{3} = 0.8306

Then

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8306 = 0.1694

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

8 0
2 years ago
6. An auto rental agency offers a rate of $60 per day plus $0.30 per mile. After a one-day rental, the bill was $93.60. How many
lisov135 [29]

Answer:

Step-by-step explanation:

You have to multiply 30 cents until you get to the total.

4 0
2 years ago
SIMPLIFY THE EXPRESSION.<br> 9(1 - 7x)
jok3333 [9.3K]

Answer:

9-63x

Step-by-step explanation:

9(1-7x)

9-63x

7 0
3 years ago
Read 2 more answers
Jake's final grade in his science class is calculated by finding the mean of his scores for six project reports. The score Jake
Yanka [14]
Let lowest possible score be x (66+ 80+ 88+ 82 +72+ x)/6=80 on solving we get ans as 92
6 0
3 years ago
X-Y-2Z =-11<br> X-2Y-Z = -11 <br> -X+Y+3Z = 14
Snowcat [4.5K]

9514 1404 393

Answer:

  (X, Y, Z) = (-2, 3, 3)

Step-by-step explanation:

We can subtract the second equation from the first to get ...

  Y -Z = 0

We can add the third equation to the first to get ...

  Z = 3

Then ...

  Y -3 = 0   ⇒   Y = 3

and ...

  X -3 -2(3) = -11

  X = -2 . . . . . . . . . add 9

The solution is ...

  (X, Y, Z) = (-2, 3, 3)

7 0
2 years ago
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