What is the value of the expression below when z = 5

The distane from the spice island to lisbon is 11431 nautical miles and it took magellan and took his crew 100 days to reach Lis

natulia [17]

Answer:

114.31 nautical miles per day

Step-by-step explanation:

Use formula

$S=v\cdot t,$

where S is the distance, t is time and v is rate.

If S=11431 nautical miles and t=100 days, then

$v=\dfrac{11431}{100}=114.31\ \text{nautical miles per day}.$

8 0

4 years ago

A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its nacho sales. On a given night

mario62 [17]

Using proportions, it is found that $1,225 is earned from nachos.

This question is solved by <em>proportions</em>, using a rule of three.

The measures have an inverse relationship, hence line multiplication is applied instead of cross multiplication.

When the theater makes $1,540 from popcorn sales, it makes $1,330 from nacho sales. How much is earned from nachos when $1,672 is earned from popcorn?

The <em>rule of three</em> is:

$1,540 - $1,330

$1,672 - $x

Applying line multiplication:

$1672x = 1540 \times 1330$

$x = \frac{1540 \times 1330}{1672}$

$x = 1225$

$1,225 is earned from nachos.

To learn more about proportions, you can take a look at brainly.com/question/24372153

8 0

3 years ago

Please help me answer this math question quickly

almond37 [142]

Answer:3 I think not sure

Step-by-step explanation:

5 0

3 years ago

Which two numbers multiply to 100 and add to -20

Eduardwww [97]

20 and 10.

I can't explain this, because of the fact that I have not learned this yet, and I might be wrong. But I hope I'm not and I hope I helped! ☺

6 0

4 years ago

Read 2 more answers

A computer retail store has 1414 personal computers in stock. A buyer wants to purchase 33 of them. Unknown to either the retail

Lorico [155]

Answer:

a) 364 ways

b) 45.33% probability that exactly one of the computers will be defective.

c) 54.67% probability that at least one of the computers selected is defective.

Step-by-step explanation:

The computers are chosen without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

In this question:

14 computers, so N = 14.

3 defective, so k = 3.

3 will be purchesed, so n = 3.

A) In how many different ways can the 3 computers be chosen?

3 from a set of 14. So

$C_{14,3} = \frac{14!}{3!(14-3)!} = 364$

364 ways

B) What is the probability that exactly one of thecomputers will be defective?

This is P(X = 1).

$P(X = 1) = h(1,14,3,3) = \frac{C_{3,1}*C_{11,2}}{C_{14,3}} = 0.4533$

45.33% probability that exactly one of the computers will be defective.

C) What is the probability that at least one of the computers selected is defective?

Either none is, or at least one is. The sum of the probabilities of these events is 1. So

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

We want $P(X \geq 1)$ . Then

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

In which

$P(X = 0) = h(0,14,3,3) = \frac{C_{3,0}*C_{11,3}}{C_{14,3}} = 0.4533$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.4533 = 0.5467$

54.67% probability that at least one of the computers selected is defective.

5 0

3 years ago