Since there is no mean, we need to first get the probability:
p = 11/ 65 = 0.1692
This will make it easier to compute for the interval estimate. Interval Estimate = probability ± margin of error
upper limit = 0.1692 + 0.025 = 0.1942
lower limit = 0.1692 - 0.025 = 0.1442
So the interval estimate is 0.1442 < x < 0.1942
6m (m+2) = 0 is the factored form
m=0, m=-2 is m
Steps are on paper
If you need more explanation, comment
Answer: the value of the account after 10 years is $2606
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
P = 1800
r = 3.7% = 3.7/100 = 0.037
t = 10 years
Therefore,
A = 1800 x 2.7183^(0.037 x 10)
A = 1800 x 2.7183^(0.37)
A = $2606 to the nearest dollar
Take the expression 2<em>x </em><em>- </em><em />(<em>x</em> - 3). We know we can multiply everything by 1 and not change it; we know that if a variable does not have a coefficient with it, we can write a 1 beside it. That means we can write our expression as
2<em>x</em> - 1(<em>x</em> - 3). This helps us see the distributive property applies here:
2<em /><em>x</em> - 1<em>x</em> - 1(-3)
2<em>x</em> - 1<em>x</em> - -3
2<em>x</em> - 1<em>x</em> + 3
1<em>x</em> + 3 = <em>x</em> + 3<em />
The speed of the giraff is 30 miles per hour.
