Hi there! Hopefully this helps!
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Answer: 14.
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First we calculate <u>3 to the power of 2</u> and get 9.
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9 + 9 - 
= 14.
Now we add<u> 9 + 9</u> to get 18.
18 - = 14.
Then, we<u> divide 8 by 2</u> to get 4.
18 - 4 = 14.
Then we subtract<u> 4 from 18</u> to get.....You guessed it,<u> 14</u>!
The required maximum value of the function C = x - 2y is 4.
Given that,
The function C = x - 2y is maximized at the vertex point of the feasible region at (8, 2). What is the maximum value is to be determined.
<h3>What is the equation?</h3>
The equation is the relationship between variables and represented as y =ax +m is an example of a polynomial equation.
Here,
Function C = x - 2y
At the vertex point of the feasible region at (8, 2)
C = 8 - 2 *2
C= 4
Thus, the required maximum value of the function C = x - 2y is 4.
Learn more about equation here:
brainly.com/question/10413253
#SPJ1
To solve this problem, we make use of the Binomial
Probability equation which is mathematically expressed as:
P = [n! / r! (n – r)!] p^r * q^(n – r)
where,
n = the total number of gadgets = 4
r = number of samples = 1 and 2 (since not more than 2)
p = probability of success of getting a defective gadget
q = probability of failure = 1 – p
Calculating for p:
p = 5 / 15 = 0.33
So,
q = 1 – 0.33 = 0.67
Calculating for P when r = 1:
P (r = 1) = [4! / 1! 3!] 0.33^1 * 0.67^3
P (r = 1) = 0.3970
Calculating for P when r = 2:
P (r = 2) = [4! / 2! 2!] 0.33^2 * 0.67^2
P (r = 2) = 0.2933
Therefore the total probability of not getting more than
2 defective gadgets is:
P = 0.3970 + 0.2933
P = 0.6903
Hence there is a 0.6903 chance or 69.03% probability of
not getting more than 2 defective gadgets.
Answer:
There are no solutions.
Step-by-step explanation:
Let's solve your inequality step-by-step.
−7(3x−7)+21x≥50
Answer:
x>20
Step-by-step explanation:
subtract 5 from both sides
