Answer:
f(x) = x-6
Step-by-step explanation:
Since x = 6, which is a positive number, the answer should be of f(x) = x-6.
When x = -6, which is a negative number, then the answer should be f(x) = x+6.
<span>a)
Acceleration of stone = 10
Integrate:
So velocity = 10t
Integrate again:
So distance from starting point = 5t^2
Distance from ground = 450-5t^2
b)
450 - 5t^2 = 0
9.48 seconds
c) velocity = 10t
Put the time into this to give:
94.8 m/s
d.
Velocity = 10t + 5
Integrate again:
5t^2 + 5t
Solve
5t^2 + 5t = 450
Gives 9 seconds</span>
We have given that,
interest rate = 2.76%
simple interest = 3,090
term = 15 years
<h3>What is the principle of simple interest?</h3>
Therefore,Nate should invest 7,463.77 to meet his goal.
To learn more about the simple interest visit:
brainly.com/question/25793394
Answer:
Yes, there is enough evidence to say the proportions are the same.
Step-by-step explanation:
Null hypothesis: The proportions are the same.
Alternate hypothesis: The proportions are not the same.
Data given:
p1 = 51% = 0.51
n1 = 200
p2 = 48% = 0.48
n2 = 150
pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497
Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556
The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645
Conclusion:
Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.
