The z-score for 5 minutes is found from:
Reference to a normal distribution table shows that the cumulative probability for a z-score of 1.667 is around 0.9522.
Therefore the probability that a conversation lasts for longer than 5 minutes is:
1 - 0.9522 = 0.048 to 3 d.p.
Pi Day is celebrated on March 14th (3/14) around the world. Pi (Greek letter “π”) is the symbol used in mathematics to represent a constant.
The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.
In this question we must determine the correct volumes of each paint to obtain a 20 % gloss with paint by means of weighted averages:
(1)
Where:
- Proportion of the paint that is 30 % gloss. 
- Concentration ratio of the paint that is 30 % gloss.
- Concentration ratio of the paint that is 15 % gloss.
- Resulting concentration ratio
If we know that 
, 
and 
, then the proportion of the paint that is 30 % gloss is:
And the quantity of gallons needed of each paint are:
Paint (30 % gloss)
Paint (15 % gloss)
The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.
To learn more on weighted averages, we kindly invite to check this question: brainly.com/question/18554478
When someone is skilled in algebra and or math it opens up so many new career doors--Math and science jobs are highly sought out for.
I believed there is a typo error in the choices. Below I assume that the correct choices:
<span>A. 9 (3+4)
</span>B. 9 (4+5)
C. 7(4+5)
D. 7(3+6)
The answer is letter A which is 9 (3+4) the greatest common denominator of 27 and 36 is 9. The factor of 27 is 9 and 3 while for 36 is 9 and 4. To check the answer you need to solve 9 (3+4) which is 63 while 27 + 36 is also 63.
