Answer:
Point estimate for the population variance = 3.92 *
.
Step-by-step explanation:
We are given that a sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters ;
X X -
1.13 1.13 - 1.188 = -0.058 3.364 * 
1.15 1.15 - 1.188 = -0.038 1.444 *
1.15 1.15 - 1.188 = -0.038 1.444 * 
1.24 1.24 - 1.188 = 0.052 2.704 * 
1.27 1.27 - 1.188 = 0.082 <u> 6.724 * </u>
<u> </u>
<u>= 0.01568 </u>
Firstly, Mean of above data,
=
=
= 1.188
Point estimate of Population Variance = Sample variance
=
=
= 3.92 *
.
Therefore, point estimate for the population variance = 3.92 *
.
Step-by-step explanation:
A=2(wl+hl+hw)=2x(14x7+7x7+7x14)=490
Option B is the correct answer
You can use the Pythagorean Theorem. Which is a^2 + b^2 = c^2.
So now to plug in the equation.
In your case a is 8 and c is 34. So now we need to solve for b.
8 squared is equal to 64.
34 squared is equal to 1156.
Now to plug things in.
64 + b^2 = 1156
Now subtract 64 from 1156.
That equals 1092.
The equation is now
b^2 = 1092
Now do the square root of 1092.
But since the square root is an irrational number you can just write b = 1092 ( but put a square root with 1092)
(a) converges; consider the function <em>f(x)</em> = <em>a</em> ˣ, which converges to 0 as <em>x</em> gets large for |<em>a</em> | < 1. Then the limit is 2.
(b) converges; we have
4ⁿ / (1 + 9ⁿ) = (4ⁿ/9ⁿ) / (1/9ⁿ + 9ⁿ/9ⁿ) = (4/9)ⁿ × 1/(1/9ⁿ + 1)
As <em>n</em> gets large, the exponential terms vanish; both (4/9)ⁿ → 0 and 1/9ⁿ → 0, so the limit is 1.
(c) converges; we know ln(<em>n</em> ) → ∞ and arctan(<em>n</em> ) → <em>π</em>/2 as <em>n</em> → ∞. So the limit is <em>π</em>/2.
Answer:
Step-by-step explanation:
Just plug in
7 - 2(2) = 3