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Verdich [7]
3 years ago
10

Simplify:

xFormula1" title=" \sqrt{ - 9} \times \sqrt{ - 16} " alt=" \sqrt{ - 9} \times \sqrt{ - 16} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0
Answer:
-12

Explanation:
Because negative numbers are impossible to simplify, we must use imaginary numbers. i=root -1. So, for example to simplify root -9, separate this into root 9 times root -1 which becomes root 9 times i, simplifying to 3i. Repeat this for root -16 to have 3i times 4i. Multiply and get 12i^2. Then, simplify to 12 times -1 because i^2 is root -1 times root -1 making -1. Finally, the answer is -12.
I apologize for this sloppy explanation as I am currently short on time. If you have any questions feel free to ask in the comments and I will try to answer them later!
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Half of a set of the parts are manufactured by machine A and half by machine B. Ten percent of all the parts are defective. Six
baherus [9]

Answer:

The probability that a part was manufactured on machine A is 0.3

Step-by-step explanation:

Consider the provided information.

It is given that Half of a set of parts are manufactured by machine A and half by machine B.  

P(A)=0.5

Let d represents the probability that part is defective.

Ten percent of all the parts are defective.

P(d) = 0.10

Six percent of the parts manufactured on machine A are defective.

P(d|A)=0.06

Now we need to find the probability that a part was manufactured on machine A, and given that the part is defective :

P(A|d) =\frac{P(A \cap d)}{P(d)}

P(A|d) =\frac{P(d|A)\times P(A)}{P(d)}\\P(A|d)= \frac{0.06\times 0.5}{0.10}

P(A|d)= 0.3

Hence, the probability that a part was manufactured on machine A is 0.3

8 0
3 years ago
Can anybody help? I do not understand:(
Dvinal [7]
Six now have a good day happy face bye-bye
7 0
3 years ago
A square rug has an area of 100 square feet. What is the length of one side of the rug?
Usimov [2.4K]

Answer:

10 ft

Step-by-step explanation:

Square root of 100 = 10

4 0
4 years ago
Read 2 more answers
9) Which point is a solution to the equation 3x + 2y = 9?<br> A. (0,4) B. (4,0) C. (1,3) D. (3, 1)
7nadin3 [17]

Answer:

c. (1, 3)

Step-by-step explanation:

The coordinates that best suite the equation, given it the answer.

4 0
3 years ago
What is the annual interest rate is 1=$160.67, p=$2000, t=8 months
Sergeeva-Olga [200]
Please use " i " to denote "interest."

the formula for simple interest is i = p r t.

Here, i = $160.67 = $2000 (r) (8/12)


Solving for the interest rate, r = ($169.67)(12/8)/ $2000 = 0.127, or 12.7%
4 0
3 years ago
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