Grade 5 math. ! 30 points !
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The probability that a randomly selected adult has an IQ less than
135 is 0.97725
Step-by-step explanation:
Assume that adults have IQ scores that are normally distributed with a mean of mu equals μ = 105 and a standard deviation sigma equals σ = 15
We need to find the probability that a randomly selected adult has an IQ less than 135
For the probability that X < b;
- Convert b into a z-score using z = (X - μ)/σ, where μ is the mean and σ is the standard deviation
- Use the normal distribution table of z to find the area to the left of the z-value ⇒ P(X < b)
∵ z = (X - μ)/σ
∵ μ = 105 , σ = 15 and X = 135
∴
- Use z-table to find the area corresponding to z-score of 2
∵ The area to the left of z-score of 2 = 0.97725
∴ P(X < 136) = 0.97725
The probability that a randomly selected adult has an IQ less than
135 is 0.97725
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ANSWER
EXPLANATION
The given expression is
This is having a negative index. We must first of all change to a positive index.
Recall that,
We apply this law of exponents to get,
We cab rewrite the given expression to obtain;
This will simplify to give us,
EXPLANATION
The given expression is
This is having a negative index. We must first of all change to a positive index.
Recall that,
We apply this law of exponents to get,
We cab rewrite the given expression to obtain;
This will simplify to give us,
Answer:
Step-by-step explanation:
<u>Constant Speed Motion </u>
When the object travels the same distances in the same period of time, the speed is constant and is can be calculated as
where x is the distance and t is the time
There are two canoes traveling at speeds v1 and v2. One of them has twice the speed as the other. Let's say
When t hours have passed, the canoes have traveled x1 and x2 respectively.
Since
Then
The distance between them is
That distance is known and equals 11.25 miles, thus
Solving for v1 and using t=4.5 hours