All categories

3 years ago

Rearrange the formula to make a the subject

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

7 0

Answer:

Step-by-step explanation:

p = (3n + a)/(n + a)

Cross multiply

p(n + a) = 3n +a

pn + pa = 3n + a

pa - a = 3n - pn

a(p - 1) = n(3 - p)

Dividing by p - 1

a = n(3 - p)/(p - 1)

You might be interested in

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 $P(X \geq 2)$

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

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 please i don't want to get held back

pogonyaev

Answer:

30GB trust me I will not let you fail

Step-by-step explanation:

120/4 = 30gb

7 0

2 years ago

Read 2 more answers

Jerome’s bowling ball weighs 15 pounds. About how many kilograms does his bowling ball weigh? I need answer ASAP LIKE NOW !

Andrews [41]

About 6.8 kilograms.

5 0

3 years ago

Angle JKL is a right angle. The measure of the angle JKM is 65. The measure of angle MKL is x . What is the value of x?

Archy [21]

Answer:

Step-by-step explanation:

angle JKM and Angle MKL are supplementary. means, they add to 90degree. So to fing the missing one, just do 90 - 65. you'll get 25.

4 0

3 years ago

To increase an amount by 5.4% what single multiplier would you use

Rama09 [41]

I would use the decimal form of 5.4%. It is very easy to convert a percentage into a decimal. All you have to do is move the decimal point two places to the left and remove the % sign.

5.4% = 0.054

So, 0.054 would be your multiplier.

7 0

3 years ago