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3 years ago

Can you find x I don’t know how.

Mathematics

1 answer:

kodGreya [7K]3 years ago

8 0

Answer:

Step-by-step explanation:

(x+3)/(x+8) = 2/3

3x + 9 = 2x + 16

x = 7

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PLEASE HELP ME, I DONT UNDERSTAND HOW TO DO IT AT ALL

scZoUnD [109]

The solution of a system of equations is the place where they cross; the point where both equations are true. find the place on your graph where your two lines intersect.

you should find (2, 3) as the intersection point. this is the solution for the system.

4 0

3 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:

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

There is a probability of 0.0042 that more than one out of a sample of five taxpayers with incomes under $100,000 will be audited.

8 0

3 years ago

What is 7% in it's simplest form?

sineoko [7]

Answer:

therefore, 7/7 simplified to lowest terms is 1/1.

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 7 and 7 is 7

Divide both the numerator and denominator by the GCD

7 ÷ 7

Reduced fraction:

Therefore, 7/7 simplified to lowest terms is 1/1

5 0

3 years ago

Which number, rounded to the nearest ten-Thousand is 60,000?

anastassius [24]

59,999 is the number that would round to ten thousand if rounded to the nearest ten-thousand.

6 0

3 years ago

(2a+b) (a-b) + (2a-b) (a+b)

yanalaym [24]

Answer: 4a^2-2b^2 (I think this is right)

Step-by-step explanation:

Using the order of operations I started by multiplying both of the sides separately. The left side of the equation becomes 2a^2-b^2-ab while the right becomes 2a^2-b^2+ab. Then I put the sides together to add them and after combining like terms it becomes 4a^2-2b^2.

8 0

2 years ago