Answer: I got -2
I plugged -6 in for y and then simplified. -6 x -6 = 36. 7 x -6 = -42. So 36 - 42 = -6. -6 + 4 = -2
Answer:
48.75$
Step-by-step explanation:
Since the original price is 65$ and you are getting 25% off, you would now be paying 75% of the original price.
65*75%=48.75
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You could also take the amount of discount you're getting...
65*25%
and then subtract the amount of discount your getting from the original price
65-(65*25%) = 48.75
Answer:
1. 3 2. 16
Step-by-step explanation:
3x+2/y, x = 3 and y = 6
3(3)/6
Factor the number
3*3*2/3*2
Cancel the common factor (3)
3*2/2
Cancel the common factor (2)
3/1
Simplify
=3
(4a)^3/(b-2), a = 2, b = 4
(4(2)^3/(4-2)
Subtract the numbers:
2^3 * 4/2
Apply exponent rule (a^b*a^c=a^b+c)
= 2^3+1
Add the numbers:
2^4
Simplify:
=16
Answer:
61
Step-by-step explanation:
The sum of the three angles of any triangle is equal to 180 degrees.
180-58=122
122/2=61
We divide by two because we are missing the other two angles but they are both equal.
Answer:
The expected value of X is 2 with a standard deviation of 1.34.
Step-by-step explanation:
For each speaker, there are only two possible outcomes. Either it is defective, or it is not. The probability of a speaker being defective is independent of other speakers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

The standard deviation of the binomial distribution is:

Stereo speakers are manufactured with a probability of 0.1 of being defective
This means that 
Twenty speakers are randomly selected.
This means that 
Let the random variable X be defined as the number of defective speakers. Find the expected value and the standard deviation.


The expected value of X is 2 with a standard deviation of 1.34.