Answer:362
Step-by-step explanation:
So, the ones digit is 2. Since the hundreds digit is one more, it's 3. And because the tens is twice the hundreds, it's 6. The number is 362
Answer:
Right Isosceles
Step-by-step explanation:
First, let's see if this triangle is Acute, Obtuse or Right.
We see that PB and QB are perpendicular lines, meaning that they form a right angle. Therefore, triangle PQB is a right triangle.
Next, let's see if this triangle is equilateral, isosceles or scalene. PB and QB are congruent side lengths but PQ is not congruent to either PB or QB. Therefore, because two of the side lengths are congruent to each other and one is not, then triangle PQB is a isosceles triangle.
In conclusion, triangle PQB can be categorized as a right isosceles triangle.
Hope this helps!
<h3>
Answer: log(2)</h3>
Explanation:
The rule to use here is log(x)-log(y) = log(x/y)
So,
log(6)-log(3) = log(6/3) = log(2)
Answer:
82
Step-by-step explanation:
shown in the image. hope it helps :)
Answer:
The sample size n = 4225
Step-by-step explanation:
We will use maximum error formula = ![\frac{z_{a} S.D}{\sqrt{n} }](https://tex.z-dn.net/?f=%5Cfrac%7Bz_%7Ba%7D%20S.D%7D%7B%5Csqrt%7Bn%7D%20%7D)
but we will find sample size "n"
![\sqrt{n} = \frac{z_{a} S.D}{maximum error}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%20%3D%20%5Cfrac%7Bz_%7Ba%7D%20S.D%7D%7Bmaximum%20error%7D)
Squaring on both sides , we get
![n = (\frac{z_{a} S.D}{maximum error})^2](https://tex.z-dn.net/?f=n%20%20%3D%20%28%5Cfrac%7Bz_%7Ba%7D%20S.D%7D%7Bmaximum%20error%7D%29%5E2)
Given 99% confidence interval (z value) = 2.56
given maximum error = 0.02
![n = (\frac{z_{a} p(1-p)}{maximum error})^2](https://tex.z-dn.net/?f=n%20%20%3D%20%28%5Cfrac%7Bz_%7Ba%7D%20p%281-p%29%7D%7Bmaximum%20error%7D%29%5E2)
n≤
( here S.D = p(1-p) ≤ 1/2
on simplification , we get n = 4225
<u>Conclusion</u>:
The sample size of two samples is n = 4225
<u>verification</u>:-
We will use maximum error formula =
=
= 0.0196
substitute all values and simplify we get maximum error is 0.02