45x3 is 135. And then when you square 135 you would get 18,225
Graph all and thena answe the questions on youtube instgaramyoutubeands
Answer:
The architects can be 95% confident that the mean breaking strength of the white wood is within this interval (149.736 , 1.664)
Step-by-step explanation:
Given
Sample = n = 16
x = 75.7
s = 10.9
First we Calculate the degree of freedom.
Degree of freedom is calculated as
df = (n - 1)t
df = (16 - 1)t
df = 15t
The we check the t-table corresponding value for 0.05
t 0.05= 1.75377.
0.05 is gotten from
(100% - 95%) = 5%= 5/100 = 0.05
Calculating the True mean breaking strength through the confidence interval
Solving the confidence interval.
This is given by:
x ± ts√df
Confidence Interval = 75.7 ± 1.75377 * 10.9 * √15
Confidence Interval = 75.7 ± 74.036
Confidence Interval = 75.7 + 74.036 , 75.7 - 74.036
Confidence interval = 149.736 , 1.664
Interpreting the above;
The architects can be 95% confident that the mean breaking strength of the white wood is within this interval (149.736 , 1.664)
Remark
It is easier in this case to state the irrational ones and then talk about the rationals.
sqrt(2) * sqrt(3) is irrational. The square root of 6 fills your calculator's window with many numbers and there is no pattern to them. Sqrt(6) cannot be expressed as a fraction or a repeating decimal which is also a fraction.
The last one is also irrational for the same reason. 3*pi cannot be expressed as either a repeating decimal or a fraction.
All the others are rational. The one you might have trouble with is the first one.
0.12 repeating is actually found by letting x = 0.12121212121212121212...Then
100 x = 12.121212121212121212 ...
<u> x = 0.121212121212121212..</u>. Subtract
99 x = 12
x = 12/99
So the mixed fraction you get is 3 12/99 which is 309/99
When you multiply that by 1.4 it does not change the fact that you still get a fraction. It turns out to be 721 / 165. The method is similar to the one used to get 12 / 99. I don't think you need to know the exact answer. You need only need to know that the first one is rational.
Choice 2 is rational because 9 and 25 are perfect squares. sqrt(9) = 3
Sqrt(25) = 5.
3*5 = 15.
Answer
One Two are four are all rational.
Answer:
12, 4, 4/3
Step-by-step explanation:
The pattern is that its 1/3 the previous term...