Coach Joel recorded the amount of time his runners take to run a mile in practice. If, on average, they can run it in under 7 mi
2 answers:
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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.
If then
is equal to
What is an exponent?
⇒An exponent refers to the number of times a number is multiplied by itself.
Multiplication of exponents
⇒ It is also known as the law on indices. For multiplication with the same base, we add the powers.
For the same base
For the different base and same power
Calculation:
⇒ We have been given that and by this relation, we have to prove that:
=
⇒
By taking power of Y both sides
⇒
XY=ZY+XZ
On dividing by 1/XYZ into both sides we will get
⇒
Hence, it is now proved that if then
is equal to
Learn more about the law of indices here :
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