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3 years ago

14

you earn $3 an hour as a waitress. after working 3 hours , you earn $12, $5 and $7 in tips. how much money did you earn in total

. explain how you found your answer

2 answers:

Licemer1 [7]3 years ago

5 0

$5 + $7 + $12 = $24
You add them all together.

8_murik_8 [283]3 years ago

4 0

You add them all together to get $24.

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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

2 years ago

50x29=1/2 of _ x29 plz help this is so hard

Kitty [74]

The blank is 25.

Tip: There is already 25, so there is only 50. But they want half so, half of 50 is 25.

I hope you understand.

4 0

3 years ago

Twenty-seven minus of a number (x) is not more than 36. What is the number? A. x > 42 B. x ≥ -6 C. x < 3 D. x ≤ -6

natali 33 [55]

Answer:

B

Step-by-step explanation:

since it hints that it is less than we can see that B gives it to us also it can't be A cuz 42 is greater than 36

so it is B

Brain list plss

5 0

2 years ago

If you want to obtain a Class E license before you turn 18, you must______.

krek1111 [17]

Answer:

here is your answer-:

you must

A. be in compliance with school attendance requirements

B. have proof of employment

C. be a U.S. citizen

D. own a motor vehicle

if it helps you pleassseeeeeeeeeee follow me

4 0

3 years ago

Bill found a book he wanted on sale for $20.80. The original price of the book was $32. Find the discount rate.

Maurinko [17]

Answer:

35% discount

Step-by-step explanation:

We can first find what percent of 32 20.80 is.

This can be shown by using a percent proportion.

$\frac{20.80}{32} = \frac{x}{100}$

We can cross multiply to find the value of $x$ .

$20.80\cdot100=2080\\\\2080\div 32 = 65$

So 20.80 is 65% of 32.

However, this is the percent of the original price. To find the discount, we have to subtract 65 from 100.

$100 - 65 = 35$

So the book was on a 35% discount.

Hope this helped!

3 0

3 years ago