In order to find how many words he can type in 40 minutes, we must set the minutes side of our ratio to 40. In order to do that, we must multiply our minutes side by a factor that makes it equal 40, and then multiply the words side by the same factor. We can divide 40 by 2 to figure out the factor, which is 20. Since the factor is 20, we must multiply it by the words side to figure out how many words he types in 40 minutes, which is 20 · 80 = 1600 words.

5 0

3 years ago

According to the U.S. Census Bureau, the mean of the commute time to work for a resident of Boston, Massachusetts, is 27.3 minut

Bond [772]

Answer:

By the Chebyshev Theorem, at least 75% of commuters in Boston has a commute time within 2 standard deviations of the mean

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by $100(1 - \frac{1}{k^{2}})$ .

What minimum percentage of commuters in Boston has a commute time within 2 standard deviations of the mean

By the Chebyshev Theorem, at least 75% of commuters in Boston has a commute time within 2 standard deviations of the mean

7 0

3 years ago

Substitute x+2y=8 3x+2y=6

vekshin1

Use x+2y=8
Subtract 2y to make
x=8-2y

Plug this in to the other equation
3(8-2y)+2y=6

Distribute the 3
24-6y+2y=6

Combine like terms
24-4y=6

Solve
18/4=y, 9/2=y

Plug and solve for x
X+2y=8
X+(2*9/2)=8
X+9=8
X=-1

8 0

3 years ago

Read 2 more answers