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3 years ago

Hey, I need this answer in by today. Please help me solve this and give a word by word explanation. Thanks!

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

7 0

Answer:

185

Step-by-step explanation:

firstly you calculate all in brackets

(280+20)÷3

300÷3

100-15

now you calculate 10×5=50

2×50=100

85+100=185

so firstly deal with problem inside the brackets, then you got multiplication and division outside their brackets and finally get 85 +100 =185

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in a final exam you have four multliple choice questions left to do. each questions has five suggested answers and only one of t

kompoz [17]

Answer:

The probability that you get zero questions correct is 0.4096

The probability that you get one questions correct is 0.4096

The probability that you get three questions correct is 0.0256

Step-by-step explanation:

These probability can be describe with a Binomial Distribution. These distribution can be used when we have n identical and independent situations in which there is a probability p or probability of success and a probability q or probability of fail. Additionally q is equal to 1 - p. The probability of x for a situation in which we can apply binomial distribution is:

$P( x,n,p) = n Cx * p^{x } * q^ {n-x}$

Where x is the variable that says the number of success in the n situations

And nCx is calculate as:

$nC x = \frac{ n!}{ x! (n-x)! }$

From the question we can identify that:

n is equal to 4 multiple choice question
p is 1/5 or 0.2, the probability of get one question correct
q is 4/5 or 0.8, the probability of get one question incorrect

Then the probability of get zero questions correct of 4 questions is:

$P( 0, 4, 0.2) = 4 C0 * p^{0 } * q^ {4-0}= 0.4096$

The probability of get one question correct of 4 questions is:

$P( 1, 4, 0.2) = 4 C1 * p^{1 } * q^ {4-1}= 0.4096$

The probability of get three questions correct of 4 questions is:

$P( 3, 4, 0.2) = 4 C3 * p^{3 } * q^ {4-3}= 0.0256$

8 0

3 years ago

A group of 40 children attend a baseball game. Each child received either a hotdog or a bag of popcorn. Hotdogs were $2.25 and p

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Answer:

27 hot dogs
13 bags of popcorn

Step-by-step explanation:

Had all received popcorn, the bill would have been 40×$1.75 = $70. The bill was $13.50 more than that. Each hot dog purchased in place of popcorn adds $0.50 to the bill, so the number of hot dogs must be ...

$13.50/$0.50 = 27

Of course, the remainder of the 40 items were popcorn, so 13 bags of popcorn.

27 hot dogs and 13 bags of popcorn were purchased.

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Answer:

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