Answer:
Step-by-step explanation:
The question is to factorize 
<em>What is common from all 3 terms?</em> It is the factor 4, so we take out 4 and write the remaining as "factorized form".
(Work shown below):
<u>First answer choice is right.</u>
Answer:
C=84∘, a=2, c=7
Step-by-step explanation:
Using the Empirical Rule, it is found that 229 batteries have lifetimes between 3.0 hours and 3.4 hours.
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By the Empirical Rule, in a normal variable: 68% of the measures are within 1 standard deviation of the mean, 95% are within 2 and 99.7% are within 3.
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- Mean of 3.2 hours with a standard deviation of 0.2 hours.
3 = 3.2 - 2(0.1)
3.4 = 3.2 + 2(0.1)
- Thus, between 3 and 3.4 hours is <u>within 2 standard deviations of the mean</u>, which is 95%.
- Out of 241 batteries:
229 batteries have lifetimes between 3.0 hours and 3.4 hours.
A similar problem is given at brainly.com/question/24552083
Answer:
-15
Step-by-step explanation:
-6x = 90
x = 90 ÷ -6
x = -15
Mark up value is either a fixed amount or a percentage of the total cost or selling price.
In this problem, mark up value is the percentage of the total cost.
To determine the retail price, total cost and mark up must be added.
Selling Price = Total Cost + Mark up value based on Total Cost
However, we are looking for the Total cost. Thus, our formula should be
Total Cost = Selling Price - Mark up value based on Total Cost.
Let X = total cost.
Selling Price = $8,000
Mark up vale = 6% of total cost.
X = $8,000 - 6%X
X = $8,000 - 0.06X
To get X, transfer -0.06X to the other side and change its sign from negative to positive.
X + 0.06X = $8000
1.06X = $8000
To get X, divide both sides by 1.06
1.06X / 1.06 = $8000 / 1.06
X = $7,547.17 total cost.
The problem is looking for the mark up value and since it states that the mark up value is 6% of the total cost, then:
Total Cost x 6% = Mark up value
$7,547.17 x 0.06 = $452.83 mark up value
To check:
X + 0.06X = $8000
$7547.17 + $452.83 = $8000
$8000 = $8000 equal.
