What is the least amount of fabric needed to make the tent

Sean took the bus from Seattle to Boise, a distance of 506 miles. If the trip took 723 hours, what was the speed of the bus?

AnnZ [12381]

Answer:

0.69 miles per hour

Step-by-step explanation:

speed = distance/time

speed = 506/723

506/723 = 0.69

4 0

2 months ago

Read 2 more answers

Axline Computers manufactures personal computers at two plants, one in Texas and the other in Hawaii. The Texas plant has 40 emp

Zina [12379]

Answer:

a) The likelihood that none of the sampled employees are from the Hawaii plant is 1.74%.

b) The chance that exactly 1 employee from the sample is found working in the Hawaii plant is 8.70%.

c) There is an 89.56% chance that 2 or more employees in the sample are from the Hawaii plant.

d) The probability that 9 employees from the sample are working at the Texas plant is 8.70%.

Step-by-step explanation:

Each employee has two potential employment locations: either Texas or Hawaii. Thus, the binomial probability distribution can be utilized to solve this scenario.

Binomial probability distribution

This distribution defines the probability of achieving exactly x successes in n trials where there are only two outcomes.

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

Here, $C_{n,x}$ denotes the number of ways to choose x objects from a set of n, represented by the subsequent formula.

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

And p is the probability of success occurring.

In this context, we know:

The sample comprises 10 employees, therefore $n = 10$ .

a. Calculate the probability that none of the sampled employees are from the Hawaii plant (to 4 decimals)?

Given that 20 out of 60 employees are based in Hawaii:

$p = \frac{20}{60} = 0.333$

We aim to find P(X = 0).

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

$P(X = 0) = C_{10,0}.(0.333)^{0}.(0.667)^{10} = 0.0174$

Thus, the likelihood that none in the sample are from Hawaii stands at 1.74%.

b. Calculate the probability that 1 employee from the sample is from the Hawaii plant?

This is represented as P(X = 1).

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

$P(X = 1) = C_{10,1}.(0.333)^{1}.(0.667)^{9} = 0.0870$

Therefore, there is an 8.70% possibility that 1 employee in the sample comes from Hawaii.

c. Calculate the probability that 2 or more employees in the sample are from the Hawaii plant?

We can observe two scenarios: either fewer than 2 employees are from Hawaii or 2 and beyond. The combined probabilities equal decimal 1. So:

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

We seek to find $P(X \geq 2)$ .

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

From problems a and b, we possess values for both probabilities.

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0174 + 0.0870 = 0.1044$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1044 = 0.8956$

Accordingly, the chance that 2 or more employees in this sample operate at the Hawaii plant is 89.56%.

d. Calculate the likelihood that 9 employees in the sample are working at the Texas plant?

This corresponds to the probability found in part b for 1 employee working in Hawaii.

Consequently, there is an 8.70% chance that 9 employees belong to the Texas plant.

6 0

2 months ago

Archimedes (ca. 287-212 B.C.) was able to use clever geometric means to determine the relative volumes of a cylinder and the con

Zina [12379]

Answer:

The ratio comparing the volume of a cone to that of a cylinder is $\frac{V_{cone}}{V_{cy}} = \frac{1}{3}$

Step-by-step explanation:

According to the provided information

The formula for the volume of a cone is described as

$V_{cone} = \frac{1}{3} \pi r^2 h$

The expression for the volume of a cylinder can be given as

$V_{cy} = \pi r^2 h$

Thus, the ratio we seek to find is

$\frac{V_{cone}}{V_{cy}} = \frac{\frac{1}{3} \pi r^2 h}{\pi r^2 h}$

$\frac{V_{cone}}{V_{cy}} = \frac{\frac{1}{3} }{1}$ This is achievable since both the height and base

$\frac{V_{cone}}{V_{cy}} = \frac{1}{3}$ radius remain identical

6 0

1 month ago

steven has 9 different shirts 5 different hats 4 different scarves. Steven thinks that if he picks just two of the three items o

Inessa [12570]

Answer:

Steven is mistaken.

Step-by-step explanation:

Steven has

9 unique shirts
5 unique hats
4 unique scarves.

He selects only two out of the three types of clothing. The combinations can be calculated as

$9\cdot 5=45$ options to select a shirt and a hat;
$5\cdot 4=20$ options to select a hat and a scarf;
$9\cdot 4=36$ options to select a shirt and a scarf.

In total, there are

$45+20+36=101$

different methods to choose just two out of the three clothing items.

As a result, $101$ Steven is not correct.

6 0

2 months ago