Alex's home run hitting distance is normally distributed with a mean of 410 feet and a standard deviation of 29 feet. He wanted
2 answers:
<h2>Answer with explanation:</h2>
Given : Alex's home run hitting distance is normally distributed with a mean of 410 feet and a standard deviation of 29 feet.
Let x be the random variable that represents the Alex's home run hitting distance.
He wanted to find the probability that his home runs traveled at least 375 feet.
i.e.
He calculated the z-score to be −1.21
That means he need to find corresponds to
Now, , here Ales made error , he calculated the Probability corresponding to
.
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Answer:
The required equation is .
Step-by-step explanation:
Consider the provided information.
The Initial value of poster = $ 18
After 1 year amount of increase = $ 20.70
With the rate of 15% = 0.15
Let future value is y and the number of years be x.
Now verify this by substituting x=1 in above equation.
Which is true.
Hence, the required equation is .
We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.
We are asked to write an expression for the amount of money Clare would have after 30 years if she never withdraws money from her account.
We will use exponential growth function to solve our given problem.
An exponential growth function is in form , where
y = Final value,
a = Initial value,
r = Growth rate in decimal form,
x = Time.
We can see that initial value is $160. Upon substituting our given values in above formula, we will get:
To find amount of money in Clare's account after 30 years, we need to substitute in our equation.
Therefore, the expression represents the amount of money that Clare would have after 30 years.