4. Find the area of the given figure. 20 cm 10 cm 3 cm 14 cm 15 cm 13 cm

1 answer:

4 0

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BRAILEST + THANKS <br> F(x)=x^2+14 and g(x)=x−8<br> Find (f+g)(−1)

Murrr4er [49]

Answer:

Step-by-step explanation:

Disclaimer all solutions need to be verified by the student for accuracy in typos, algebra and calculations.

f(x) = x² + 14 g(x) = x - 2 -1 ? I think it means evaluate when x = -1

Find (f(x) + g(x)) when x = -1

(f(x) + g(x)) = [ ( x² + 14) + (x - 2)] insert f(x) and g(x)

= [ x² + x + 14 - 2] add like the term

(f(x) + g(x)) = x² + x + 12

(f(-1) + g(-1)) = (-1)² + (-1) + 12 evaluate at x = -1

= 1 - 1 + 12

= 12

6 0

2 years ago

The chances of a tax return being audited are about 21 in 1 comma 000 if an income is less than $100,000 and 29 in 1 comma 000

vladimir2022 [97]

Answer:

a) p=0.021

b) p=0.029

c) Exactly one audit: P=0.0965

More than one audit: P=0.0042

Step-by-step explanation:

a) If the income is less than $100,000, there is a probability of 21 in 1,000 of being audited. This is:

$p_1=\dfrac{21}{1,000}=0.021$

If the income is equal or more than $100,000, there is a probability of 29 in 1,000 of being audited. This is:

$p_2=\dfrac{29}{1,000}=0.029$

b) If we have 5 taxpayers with incomes under $100,000, and we want to know the probability that exactly one will be audited, we can model this a binomial randome variable, with p=0.021 and n=5:

$P(x=1) = \dbinom{5}{1} p^{1}q^{4}=5*0.021*0.9186=0.0965\\\\$

There is a probability of 0.0965 that exactly one out of a sample of five taxpayers with incomes under $100,000 will be audited.

To calculate the probability that more than one will be audited, we use the same distribution:

$P(x>1)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0) = \dbinom{5}{0} p^{0}q^{5}=1*1*0.8993=0.8993\\\\\\P(x=1) = \dbinom{5}{1} p^{1}q^{4}=5*0.021*0.9186=0.0965\\\\\\P(x>1)=1-[P(x=0)+P(x=1)]\\\\P(x>1)=1-(0.8993+0.0965)\\\\P(x>1)=1-0.9958\\\\P(x>1)=0.0042$