Answer:
A = 240 units²
Step-by-step explanation:
the area (A) of a regular polygon is
A =
pa ( p is the perimeter and a the apothem )
here p = 8 × 6 = 48 ( an octagon has 8 sides ) and a = 10 , then
A =
× 48 × 10 = 24 × 10 = 240 units²
Answer:
x = 2, -2, -1/5
Step-by-step explanation:
g(x)= 5x^3+x^2-20x-4
g(x)= x^2(5x+1)-4(5x+1)
g(x)=(x^2-4)(5x+1)
g(x)=(x-2)(x+2)(5x+1)
x-2=0
x= 2
x+2=0
x= -2
5x+1=0
x= -1/5
The answer is D. To help find the answer, you can remember an easy rule. The rule is if you're subtracting a positive number from a negative number, it will always be negative thus eliminating any answers that are positive.
Answer:
The value is
Step-by-step explanation:
From the question we are told that
The probability of the device failing during the warranty period is 
The sample size is 
The random variable considered is x = 15
Generally this is distribution is binomial given the fact that there is only two out comes hence
X which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e

Now the mean is mathematically evaluated as

=> 
=> 
The standard deviation is mathematically represented as

=> 
=> 
Now given that n is very large, then it mean that we can successfully apply normal approximation on this binomial distribution
So
Now applying Continuity Correction we have

Generally 

From the z-table

Thus
Answer:
1. 8 quarts of blue
2. 12 quarts of yellow
3. 10 pints of red
4. 24 pints of yellow
5. 16 quarts of light blue
6. 9 quarts of red