Answer:

Step-by-step explanation:





8/(2-√ 12) Both sides multiplied by (2+√ 12)
16+8√ 12/4-12
-(16+8√ 12)/8
The new denominator is 8 and the fraction has a negative sign
Answer:
The 7.14% of her income is the income tax .
Step-by-step explanation:
Formula

As given
A house painter has an annual income of $35,000 and paid $2,500 in income tax.
Here
Part value = $2500
Total value = $35000
Put in the formula



Therefore the 7.14% of her income is the income tax .
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Add them up :

Collect like terms

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Answer:
a. 0.017
b. 0.013
c. 0.021
Step-by-step explanation:
Let p be the probability that a randomly selected man is 65 or older
And q be the probability that a randomly selected woman is 65 or older
Then p=0.114 and q=0.146
Using the multiplication rule for independent events:
a. If a man is selected at random and a woman is selected at random, the probability that both people selected are 65 or older is p × q = 0.114 × 0.146 ≈ 0.017
b. If two men are selected at random, the probability that both of them are 65 or older is p × p = 0.114 × 0.114 ≈ 0.013
c. If two women are selected at random, the probability that neither of them is 65 or older is q × q = 0.146 × 0.146 ≈ 0.021