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3 years ago

On a map, 1 inch equals 15 miles. Two cities are 2 inches apart on the map. What is the actual distance between the cities?

Mathematics

1 answer:

BabaBlast [244]3 years ago

4 0

Since the scale is 15 miles per inch all you need to do is multiply.
2in(15)=30
The cities are 30 miles apart.

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Every time I use a piece of scrap paper, I crumple it up and try to shoot it inside the recycling bin across the room. I'm prett

valentinak56 [21]

Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

With 5 shoots, the probability of making at least one is $\frac{211}{243}$ , hence the probability of making none, P(X = 0), is $\frac{232}{243}$ , hence:

$(1 - p)^5 = \frac{232}{243}$

$\sqrt[5]{(1 - p)^5} = \sqrt[5]{\frac{232}{243}}$

1 - p = 0.9908

p = 0.0092

Then, with 6 shoots, the parameters are:

n = 6, p = 0.0092.

The probability that at least two of them make it inside the recycling bin is:

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

In which:

[P(X < 2) = P(X = 0) + P(X = 1)

Then:

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

$P(X = 0) = C_{6,0}.(0.0092)^{0}.(0.9908)^{6} = 0.9461$

$P(X = 1) = C_{6,1}.(0.0092)^{1}.(0.9908)^{5} = 0.0527$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.9461 + 0.0527 = 0.9988

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9988 = 0.0012$

0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

7 0

2 years ago

What is the least common denominator of 1/2, 2/3 and 3/4

Vinil7 [7]

Answer:

6/12, 8/12, and 9/12.

Step-by-step explanation:

Let's find the least common denominator:

First, the least common multiple of 2, 3, and 4 is 12.

12 is divisible by 2, 3, and 4.

<u>Next, multiply the denominators with the numerators:</u>

Products: 6/12, 8/12, and 9/12

7 0

2 years ago

Given the definitions of f(x) and g(x) below, find the value of g( f(-5)).

tensa zangetsu [6.8K]

Answer:

we conclude that:

g(f(-5)) = 30

Step-by-step explanation:

Given

f(x) = x+9

g(x) = x² + 7x – 14

To determine

g(f(-5)) = ?

First, we need to find f(-5)

f(x) = x+9

substitute x = -5

f(-5) = (-5)+9

f(-5) = -5+9

f(-5) = 4

g(f(-5)) = g(4)

Now, we need to find g(4)

g(x) = x² + 7x – 14

substitute x = 4

g(4) = (4)² + 7(4) - 14

g(4) = 16 + 28 - 14

g(4) = 30

i.e.

g(f(-5)) = g(4) = 30

Therefore, we conclude that:

g(f(-5)) = 30

7 0

3 years ago

Select the correct answer.

Tpy6a [65]

Answer:

your answer is D.

Step-by-step explanation:

Using sine will give you 3*square root of 3

3 0

3 years ago

Read 2 more answers

Pls help me with this

baherus [9]

i think we have to find the answer for terms of a

p=a+4b+2c

ISOLATE A

p-4b-2c=a

answer:

p-4b-2c=a

8 0

3 years ago

On a​ map, 1 inch equals 15 miles. Two cities are 2 inches apart on the map. What is the actual distance between the​ cities?

On a map, 1 inch equals 15 miles. Two cities are 2 inches apart on the map. What is the actual distance between the cities?