A spinner has 10 equal-sized sections. Two of the sections are red.
1 answer:
Answer:
a. Probability of landing on red =
b. <em>See Explanation</em>
Step-by-step explanation:
Given
A Spinner
Number of section = 10 (equal sized)
Number of red section = 2
Required
- Probability of landing on red
- Describe the probability in words
Calculating the probability of landing on red
The formula used in calculating probability is as follows
Probability = Number of required outcomes / Number of possible outcomes
In this case, the number of required outcomes is the number of red section.
Hence, number of required outcomes = 2
And the number of possible outcomes is the total section of the spinner
Hence, Number of possible outcomes = 10
By Substitution
Probability of landing on red =
Probability of landing on red =
Describe the probability in words
From (a) above, we have that the probability of the spinner landing on color red is
This means that, for every five times, you spin the spinner, it's likely that one of the outcomes will be red.
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Given
A cylindrical bin with a diameter of 15 feet 3 inches and a height of 24 feet 4 inches is used to hold wheat.
One cubic foot holds 0.804 bushels
Find out bushels of wheat can be stored.
To proof
Formula
where r is the radius and h represent the height.
As given in the question
diameter = 15 feet 3 inches
height = 24 feet 4 inches
First convert inches into feet
I inches = 0.083 feet
15 feet 3 inches = 15 + 3 × 0.083
= 15.25 feet
Diameter = 15.25 feet
24 feet 4 inches = 24 + 4 ×0.083
= 24.33 feet
Height = 24.33 feet
Radius = 7.63 feet
Put all the value in the above formula.
we get
Volume of the cylinder = 3.14× 7.63× 7.63× 24.33
= 4447.55 foot³ ( approx)
As given
One cubic foot holds 0.804 bushels
Total bushels of wheat can be stored = 4447.55×0.804
= 3575.83 ( approx)
Total bhushels of wheat stored are 3575.83 ( approx).
Hence proved