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Ad libitum [116K]
3 years ago
5

Find the greatest common factor of 63 and 96

Mathematics
2 answers:
allochka39001 [22]3 years ago
8 0
GCF of 63 and 96 = 3
julia-pushkina [17]3 years ago
4 0
The greatest common factor (GCF) of 63 and 96 is: 3

To find the GCF, list all the factors until that go up to 63 since that is the minimum.
Factors of 63: 1, 3, 7, 9, 21, 63
Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48

Find the common factors between the two numbers which are 1 and 3. Now, which one of those numbers are the greatest/highest? The answer is 3.
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One number is 10 less than 5 times the second number. Their sum is 26. Find the numbers.
GREYUIT [131]

Answer:

Step-by-step explanation:

a = 5b-10

a+b = 26

(5b-10)+b = 26

b = 6

a= 5b + 10 = 40

8 0
2 years ago
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The purchase price of a camcorder is $850. What is the total price if the sales tax rate is 6.5%?
damaskus [11]

Answer:

$905.25

Step-by-step explanation:

6.5% of $850 is $55.25. You add $55.25 to $850 to get the total price.

5 0
2 years ago
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Seventy-two percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of th
Anton [14]

Answer:

a) 0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.

b) 0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.

c) 0.064 = 6.4% probability that 7 of them are discovered.

Step-by-step explanation:

For itens a and b, we use conditional probability.

For item c, we use the binomial distribution along with the conditional probability.

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

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.

a) If it has an emergency locator, what is the probability that it will not be discovered?

Event A: Has an emergency locator

Event B: Not located.

Probability of having an emergency locator:

66% of 72%(Are discovered).

20% of 100 - 72 = 28%(not discovered). So

P(A) = 0.66*0.72 + 0.2*0.28 = 0.5312

Probability of having an emergency locator and not being discovered:

20% of 28%. So

P(A cap B) = 0.2*0.28 = 0.056

Probability:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.056}{0.5312} = 0.105

0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.

b) If it does not have an emergency locator, what is the probability that it will be discovered?

Probability of not having an emergency locator:

0.5312 of having. So

P(A) = 1 - 0.5312 = 0.4688

Probability of not having an emergency locator and being discovered:

34% of 72%. So

P(A \cap B) = 0.34*0.72 = 0.2448

Probability:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2448}{0.4688} = 0.522

0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.

c) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what is the probability that 7 of them are discovered?

p is the probability of being discovered with the emergency recorder:

0.5312 probability of having the emergency recorder.

Probability of having the emergency recorder and being located:

66% of 72%. So

P(A \cap B) = 0.66*0.72 = 0.4752

Probability of being discovered, given that it has the emergency recorder:

p = P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4752}{0.5312} = 0.8946

This question asks for P(X = 7) when n = 10. So

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

P(X = 7) = C_{10,7}.(0.8946)^{7}.(0.1054)^{3} = 0.064

0.064 = 6.4% probability that 7 of them are discovered.

8 0
3 years ago
What is 2/5 of 26 ?
grandymaker [24]
2/5 × 26 equals 10.4
4 0
3 years ago
5 hundreds x 10 in standard form
Effectus [21]
5 hundreds is 500. So 500x10= 5000. Answer:5000
4 0
3 years ago
Read 2 more answers
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