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Natali [406]
2 years ago
12

For f(x) = 2x-1 and g(x)= x+3, find f(g(x))

Mathematics
1 answer:
Over [174]2 years ago
7 0

Answer:

C

Step-by-step explanation:

Plug in g(x) into the variable x of f(x), we get:

(fog) = 2(x+3)-1 = 2x+6-1=2x+5

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Sam is building a dog kennel. He wants the kennel to be 8 ft long and 4 ft wide. If a scale drawing of the kennels length is 2 i
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the scale factor is 1=2

Step-by-step explanation:

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Sarah earns $10 per hour while babysitting and $20 per hour while cleaning houses. Sarah will need to earn $1000 during the summ
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3 years ago
According to a study conducted by the Gallup Organization, the the proportion of Americans who are afraid to fly is 0.10. A rand
notsponge [240]

Answer: 0.1457

Step-by-step explanation:

Let p be the population proportion.

Given: The proportion of Americans who are afraid to fly is 0.10.

i.e. p= 0.10

Sample size : n= 1100

Sample proportion of Americans who are afraid to fly =\hat{p}=\dfrac{121}{1100}=0.11

We assume that the population is normally distributed

Now, the probability that the sample proportion is more than 0.11:

P(\hat{p}>0.11)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.11-0.10}{\sqrt{\dfrac{0.10(0.90)}{1100}}})\\\\=P(z>\dfrac{0.01}{0.0090453})\ \ \ [\because z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} ]\\\\=P(z>1.1055)\\\\=1-P(z\leq1.055)\\\\=1-0.8543=0.1457\ \ \ [\text{using z-table}]

Hence, the probability that the sample proportion is more than 0.11 = 0.1457

3 0
3 years ago
Why does the value of money in a savings account increase over time? A. because it earns interest B. because future value is alw
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Answer:

A. because it earns interest

Step-by-step explanation:

The interest rate is the gaining that you make for keeping your money in the bank. Suppose you have $100 and the bank offers you a 5% annually interest rate. The rate (5%) means that your money will earn five percent of the value each year, so after the first year you will earn (5%)*($100) = $5 of interest just for keeping your money in your savings account. Therefore, your money will grow overtime because it is earning interest. Remember that interest can be compound (over periods) or simple (like our example).

8 0
2 years ago
Read 2 more answers
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