Can anybody help? /// its quite tricky

The blue lake trail is 11 3/8 miles long. Gemma has hiked 2 1/3 miles each hour for 3 hours. How far is she from the end of the

sergeinik [125]

Answer:

$4\frac{3}{8}miles$

Step-by-step explanation:

Given that Gemma has hiked 2 1/3 mile each hour for a total of 3 hours, you can multiply her rate by her time to find the total distance:

d = rt or d = 2 1/3(3)

$2\frac{1}{3}=\frac{7}{3}$

Multiply: $\frac{7}{3}*\frac{3}{1}=7miles$

Now, that the total length of the trail, 11 3/8 miles, and subtract the distance that Gemma has gone already:

11 3/8 - 7 = $4\frac{3}{8}miles$

4 0

4 years ago

What percent of 8.2 is 20.5?

charle [14.2K]

250 percent of 8.2 is 20.5

8 0

4 years ago

Read 2 more answers

you are buying fruit to make fruit baskets apples comes in bags of 20 oranges come in bags of 16 and bananas coming back to 32.

olasank [31]

The answer to the question

6 0

3 years ago

1/2 (?/10) + 1/2 (?/10) = ? - Reduced answer = ? Help Me Please ;-;

sashaice [31]

One half of something plus another half of something is equal to the thing
1/2x +1/2x = x
The reduced answer would be ?/10

7 0

3 years ago

Accuracy in taking orders at a drive-through window is important for fast-food chains. Periodically, QSR Magazine publishes "The

pav-90 [236]

Answer:

a) 0.7412 = 74.12% probability that all the three orders will be filled correctly.

b) 0.0009 = 0.09% probability that none of the three will be filled correctly

c) 0.0245 = 2.45% probability that at least one of the three will be filled correctly.

d) 0.9991 = 99.91% probability that at least one of the three will be filled correctly

e) 0.0082 = 0.82% probability that only your order will be filled correctly

Step-by-step explanation:

For each order, there are only two possible outcomes. Either it is filled correctly, or it is not. Orders are independent. This means that we use the binomial probability distribution to solve this question.

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.

The percentage of orders filled correctly at Burger King was approximately 90.5%.

This means that $p = 0.905$

You and 2 friends:

So 3 people in total, which means that $n = 3$

a. What is the probability that all the three orders will be filled correctly?

This is P(X = 3).

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

$P(X = 3) = C_{3,3}.(0.905)^{3}.(0.095)^{0} = 0.7412$

0.7412 = 74.12% probability that all the three orders will be filled correctly.

b. What is the probability that none of the three will be filled correctly?

This is P(X = 0).

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

$P(X = 0) = C_{3,0}.(0.905)^{0}.(0.095)^{3} = 0.0009$

0.0009 = 0.09% probability that none of the three will be filled correctly.

c. What is the probability that one of the three will be filled correctly?

This is P(X = 1).

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

$P(X = 1) = C_{3,1}.(0.905)^{1}.(0.095)^{2} = 0.0245$

0.0245 = 2.45% probability that at least one of the three will be filled correctly.

d. What is the probability that at least one of the three will be filled correctly?

This is

$P(X \geq 1) = 1 - P(X = 0)$

With what we found in b:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0009 = 0.9991$

0.9991 = 99.91% probability that at least one of the three will be filled correctly.

e. What is the probability that only your order will be filled correctly?

Yours correctly with 90.5% probability, the other 2 wrong, each with 9.5% probability. So

$p = 0.905*0.095*0.095 = 0.0082$

0.0082 = 0.82% probability that only your order will be filled correctly

7 0

3 years ago