Using the Empirical Rule, it is found that the lifespans, in months, are given by:
1. 24 and 32.
2. 20 and 36.
3. 16 and 40.
<h3>What is the Empirical Rule?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:
1. 24 and 32.
2. 20 and 36.
3. 16 and 40.
More can be learned about the Empirical Rule at brainly.com/question/24537145
We let x as the cost of one ounce of Sumatra and y as the cost of one ounce of Celebes Kalossi. For mixture 1, we have 12x + 4y = 32 and for mixture b, we have 4x + 12y = 40
First, Multiply eq. 1 by 4
4(12x + 4y = 32)4 ⇒ 36x + 12y = 96
We now have
(36x + 12y = 96) – (4x + 12y = 40)
<span>X = 1.75 ⇒ cost of one ounce of Sumatra
</span>
Substitute x to either equation to get the value of y
12(1.75) + 4y = 324
y = 32-21
4y = 11
Y = 2.75 ⇒ cost of one ounce of Celebes Kalossi
So this is super easy :) Simply turn 15% into a decimal <span>0.15
5.85 is how much money she doesn't have to pay.
So she has to pay 33. 15</span>
Answer:
Step-by-step explanation:
For the first problem, we can plug in the slope of
for
:

To solve for
, we plug in the given point
:



This gives us the equation:

For the second problem, we can plug in the slope of
for
:

To solve for
, we plug in the given point
:


This gives us the equation:

7 as
a percentage of 20 just means what percentage of 20 is 7. To do this, we must
divide 7 by 20. This is how you answer this. If you do so, then you will get
0.35. This shows that it is 35%. Note that when you get a decimal number, then
you must multiply it by 100% to get the percentage equivalent of that number.
Therefore, 7 as a percentage of 20 is 35%.