Answer:
The first one.
Step-by-step explanation:
Both of the equations in the parenthesis have the same value, and 1/2 isn't as much as a whole.
Answer:
- P(≥1 working) = 0.9936
- She raises her odds of completing the exam without failure by a factor of 13.5, from 11.5 : 1 to 155.25 : 1.
Step-by-step explanation:
1. Assuming the failure is in the calculator, not the operator, and the failures are independent, the probability of finishing with at least one working calculator is the complement of the probability that both will fail. That is ...
... P(≥1 working) = 1 - P(both fail) = 1 - P(fail)² = 1 - (1 - 0.92)² = 0.9936
2. The odds in favor of finishing an exam starting with only one calculator are 0.92 : 0.08 = 11.5 : 1.
If two calculators are brought to the exam, the odds in favor of at least one working calculator are 0.9936 : 0.0064 = 155.25 : 1.
This odds ratio is 155.25/11.5 = 13.5 times as good as the odds with only one calculator.
_____
My assessment is that there is significant gain from bringing a backup. (Personally, I might investigate why the probability of failure is so high. I have not had such bad luck with calculators, which makes me wonder if operator error is involved.)
3.5 is rounded to the nearest tenth.
Answer:
1728 inches
Explanation:
There are 3 feet in 1 yard and 12 inches in 1 foot, so we have:
48 yards * 3 = 144 feet
144 ft * 12 = 1728 inches
Emily bought 1728 inches.
The volume of a box is the amount of space in the box
The dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
<h3>How to determine the dimensions that minimize the cost</h3>
The dimensions of the box are:
Width = x
Depth = y
So, the volume (V) is:
The volume is given as 64 cubic inches.
So, we have:
Make y the subject
The surface area of the box is calculated as:
The cost is:
--- the base is twice as expensive as the sides
Substitute
Differentiate
Set to 0
Multiply through by x^2
Divide through by 4
Add 64 to both sides
Take the cube roots of both sides
Recall that:
So, we have:
Hence, the dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
Read more about volume at:
brainly.com/question/1972490
