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stellarik [79]
3 years ago
8

Multiply 6/5 by the reciprocal of (-3/8)

Mathematics
2 answers:
Damm [24]3 years ago
8 0

Answer:

Step-by-step explanation:

hello :

6/5 by the reciprocal of (-3/8)  means : ( 6/5 )(-8/3) = - 48/15 = -16/5

weeeeeb [17]3 years ago
4 0

Answer:

-48/15, simplified to -16/5

Step-by-step explanation:

The reciprocal of -3/8 is -8/3. So the equation will be 6/5 x -8/3. Multiply numerators then multiply denominators to get -48/15. This can simplify to -16/5 by dividing both by 3.

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A food-packaging apparatus underfills 10% of the containers. Find the probability that for any particular 10 containers the numb
Maksim231197 [3]

Answer:

a) P(X = 1) = 0.38742

b) P(X = 3) = 0.05740

c) P(X = 9) = 0.00000

d) P(X \geq 5) = 0.00163

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.

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 combinatios 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.

In this problem

There are 10 containers, so n = 10.

A food-packaging apparatus underfills 10% of the containers, so p = 0.1.

a) This is P(X = 1)

P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742

b) This is P(X = 3)

P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740

c) This is P(X = 9)

P(X = 9) = C_{10,9}.(0.1)^{9}.(0.9)^{1} = 0.00000

d) This is P(X \geq 5).

Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:

P(X < 5) + P(X \geq 5) = 1

P(X \geq 5) = 1 - P(X < 5)

In which

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

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

P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.34868

P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742

P(X = 2) = C_{10,2}.(0.1)^{2}.(0.9)^{8} = 0.1937

P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740

P(X = 4) = C_{10,4}.(0.1)^{1}.(0.9)^{9} = 0.38742

So

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.34868 + 0.38742 + 0.19371 + 0.05740 + 0.01116 = 0.99837

Finally

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.99837 = 0.00163

3 0
3 years ago
Can you help me on number 4
Licemer1 [7]
The answer is b
and do you mine helping with 6 grade math expression and equations follow Ms and you will get it quicker
8 0
3 years ago
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Homework help:<br> Write answer in scientific notation..thanks<br> (4.3x10*3)*2
Alisiya [41]

Answer:

(4.3x10^3)^2

= 18.49 x 10^6

= 1.849 x 10^7


Hope this helps you!


8 0
3 years ago
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
il63 [147K]

y = mx + c

7 = 4(-8) + c

c = 39

The equation is y = 4x + 39

y - 7 = 4 ( x - (-8))

y -7 = 4 (x +8)

4 0
3 years ago
About how many times greater is 12,000 miles than 3 • 10^3 miles?
Ad libitum [116K]

Answer:

3•10^3 is 3,000, so the answer is 9,000

8 0
3 years ago
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