This is the distributive property:
<em>ab</em> + <em>ac</em> = <em>a</em> (<em>b</em> + <em>c</em>)
In this case, you have
<em>a</em> - <em>a</em> (1.2⁴)
and <em>a</em> is a common factor to both <em>a</em> and <em>a</em> (1.2)⁴, so you can pull it out as
<em>a</em> (1 - 1.2⁴)
Answer:
:)
Step-by-step explanation:
5/15 divided by 5 is equal to 1/3 and
8/12 divided by 2 is 4/6 divided by 2 is 2/3
You have to divide the numerator with the same number that you divide the denominator with.
Let the number of hours = X
Multiply the speed of each train by the number of hours (x) and add them together to equal the total miles:
75x + 95x = 238
Simplify:
170x = 238
Divide both sides by 170:
x = 238/170
x = 1.4 hours.
Check:
75 x 1.4 = 105 miles
95 x 1.4 = 133 miles
105 + 133 = 238 miles
It will take 1.4 hours ( 1 hour and 24 minutes).
Answer:
23 chalkboards
Step-by-step explanation:
Given:
Mean length = 5 m
Standard deviation = 0.01
Number of units ordered = 1000
Now,
The z factor =
or
The z factor =
or
Z = - 2
Now, the Probability P( length < 4.98 )
Also, From z table the p-value = 0.0228
therefore,
P( length < 4.98 ) = 0.0228
Hence, out of 1000 chalkboard ordered (0.0228 × 1000) = 23 chalkboard are likely to have lengths of under 4.98 m.