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scoundrel [369]
2 years ago
8

Maddy reads 45 pages out of 75 pages if a lesson. What fraction of pages did Maddy read?

Mathematics
2 answers:
Colt1911 [192]2 years ago
8 0

Answer:Divide numerator and denominator by 15

(45/15)/(75/15)

= 3/5

Step-by-step explanation:

ivann1987 [24]2 years ago
5 0

Answer:

3/5

Step-by-step explanation:

45 pages out of 75 means :-

45/75

Divide numerator and denominator by 15

(45/15)/(75/15)

= 3/5

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20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st
Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

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.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that p = 0.13

14 drivers are stopped

This means that n = 14

(a) None will have an invalid license.

This is P(X = 0)

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

P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423

(b) Exactly one will have an invalid license.

This is P(X = 1)

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

P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

P(X < 2) + P(X \geq 2) = 1

We want P(X \geq 2)

So

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56

8 0
3 years ago
Help me with this please it’s 3 grade
VikaD [51]

Answer:

10 more hotdogs were sold on Friday than Monday.

Step-by-step explanation:

On Monday the graph says that there were 10 hotdogs sold, on Friday it says that there were 20 sold

20-10=10, so 10 hotdogs more were sold

6 0
3 years ago
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Can anyone find the answer????
avanturin [10]

Answer:

A≈351.86 or rounded to the nearest tenth, 351.9.

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