The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Step-by-step explanation:

The LCM of 13 AND 17 is 221

The LCM of 40 AND 60 is 120

lcm (40; 60) = 120 = 23 × 3 × 5

4 0

4 years ago

In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a

oee [108]

Answer:

15.39%

Step-by-step explanation:

Step 1

Find the z-value associated to the given datum x, in this case x = 28 mpg

z is given by the formula

$z=\frac{x-\mu }{\sigma }$

where $\mu$ is the mean of the distribution and $\sigma$ is the standard deviation. In this case,

$z=\frac{x-\mu }{\sigma }=\frac{28-23}{4.9}=1.02$

Step 2

Locate the z-value in the table of z-values of the normal distribution.

(See table attached) and read the number corresponding to this z-value. In this case is highlighted in the table and its value is 0.34614.

This numbers gives us the % of vehicles with a mpg between 0 and 28.

Step 3

As we know that the total area under the curve for z > 0 is 0.5, then we have to subtract 0.34614 from 0.5 to obtain the % of cars with a mpg greater than 28 mpg.

0.5 - 0.34614 = 0.15386

so, the % of 2016 vehicles that have better gas mileage than the Beetle's gas mileage is 15.39 % (rounded to two decimals)

8 0

3 years ago

Mr. Scruggs got some money for his birthday. He spent 1/5 of it on dog treats. Then, he divided the remainder equally among his

andrew-mc [135]

Let the amount of money be M,

then Mr.Scruggs spent 1/5M on dog treats, and so 4/5M was left.

4/5M was equally divided in 3 parts among his favourite charities, so each of these received:
 $\frac{ \frac{4}{5}M }{3}=\frac{4}{5}M* \frac{1}{3}=\frac{4}{15}M$

i) each charity received 4/15 of the money.

ii)
 $\frac{4}{15}M=$60$

4M=15*60
M=15*15

M= 225 (dollars).

Check: 4/5(225)=4*45=180, 180/3=60

5 0

3 years ago