Answer:
The Area of shaded portion is 314000 cm²
Step-by-step explanation:
Given as :
The circle is drawn with radius = r = 10 cm
Two portion of circle is shaded
∵ two portion is shaded means whole the circle is shaded now
Let The area of shaded portion = A = area of circle
∵ Area of circle = A = π × radius²
where π = 3.14
Or, A = 3.14 × r²
Or, A = 3.14 × (100)²
Or, A = 3.14 × 10000
Or, A = 
I.e A = 314000 cm²
So, The Area of shaded portion = A = 314000 cm²
Hence, The Area of shaded portion is 314000 cm² Answer
Answer:
the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
Step-by-step explanation:
We need to factorise the function 
If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50
Checking few numbers:
So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of 
by (x-2) to find other factors
The long division is shown in figure attached.
After long division we get: 
The equation can be further simplified as: (x+5)(x+5) or (x+5)^2
So, the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
Using the <em>normal distribution and the central limit theorem</em>, it is found that the power of the test is of 0.9992 = 99.92%.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is
.
- The standard deviation is
.
- A sample of 30 is taken, hence
.
The power of the test is given by the probability of a sample mean above 8, which is <u>1 subtracted by the p-value of Z when X = 8</u>, so:
By the Central Limit Theorem:
has a p-value of 0.0008.
1 - 0.0008 = 0.9992.
The power of the test is of 0.9992 = 99.92%.
To learn more about the <em>normal distribution and the central limit theorem</em>, you can check brainly.com/question/24663213
Answer:
112in²
Step-by-step explanation:
Formulas: V = 
, V = lwh
Sub: v = 
Solve: 32
Sub: v = 4 x 4 x 5
Solve: 80
V = 80 + 32
V = 112
<u>The total volume of the figure is 112in²</u>
You would have to divide because 30/5= 6 and 6/2= 3
