How many moles are in 223.2 g iron

it takes alden 6 hours to bale all the hay in a field, but his brother, anthony , can do the same job in 7 hours. if they bale a

RSB [31]

It would take three and a half hours because for one person it takes alden 6 hrs while it takes anthony seven split it in half between them and a half because it takes his rother an extra hour to do it by himself .

3 0

4 years ago

Certify Completion Icon Tries remaining:2 A town recently dismissed 10 employees in order to meet their new budget reductions. T

anyanavicka [17]

Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are removed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes 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 successes.

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:

7 + 18 = 25 employees, which means that $N = 25$

7 over 50, which means that $k = 7$

10 dismissed, which means that $n = 10$

What is the probability that exactly 5 employees were over 50?

This is P(X = 5). So

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

$P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055$

0.055 = 5.5% probability that exactly 5 employees were over 50.

5 0

3 years ago

You are choosing a new cell phone. The screen on your current phone is 10.8 cm high and 6.1 cm wide. The screen on the new phone

Leto [7]

Answer:

19.68 cm^2

Step-by-step explanation:

Area of Current Phone

First, find the area of the current phone. We can assume the screen is rectangular. The area of a rectangle can be found using:

a=l*w

We know the length is 10.8, and the width is 6.1, so we can substitute them in

a=10.8*6.1

a=65.88

Current Phone: 65.88 cm^2

Area of New Phone

Find the area of the new phone.

a=l*w

We know the length is 12.4, and the width is 6.9, so we can substitute them in

a=12.4*6.9

a=85.56

New Phone: 85.56 cm^2

Difference

We want to find how much larger the new phone screen is. To do this, find the difference between the new phone area, and the current phone area.

new phone - current phone

85.56-65.88

19.68

The new phone screen is 19.68 cm^2 larger than the current phone screen

7 0

3 years ago

Read 2 more answers

consider the exponential function f(x)= 1/5(15x) what is the value of the growth factor of the function?

Rus_ich [418]

Answer:

15

Step-by-step explanation:

The general form of an exponential equation is ...

f(x) = (initial value)(growth factor)^x

That is, the "growth factor" is the base of the exponent. In your equation ...

f(x) = (1/5)(15^x)

the growth factor is 15.

3 0

3 years ago

Read 2 more answers

What is the length of EF in the right triangle below?

Goshia [24]

Answer:

Its SQUARE ROOT 217

$\sqrt{217}$

AP3X HOPE THIS HELPS

6 0

2 years ago