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3 years ago

If f(x) = 5 + 4(x - 4)?, what is f(7)?

Mathematics

1 answer:

grigory [225]3 years ago

3 0

Answer:

Let's solve for f.

x=5+4(x−4)f(7)

Step 1: Flip the equation.

28fx−112f+5=x

Step 2: Add -5 to both sides.

28fx−112f+5+−5=x+−5

28fx−112f=x−5

Step 3: Factor out variable f.

f(28x−112)=x−5

Step 4: Divide both sides by 28x-112.

f(28x−112)28x−112=x−528x−112

f=x−528x−112

Answer:

f=x−528x−112

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A box of 8 marbles has 4 red, 2 green, and 2 blue marbles. If you select one marble, what is the probability that it is a red or

Yakvenalex [24]

Answer:

3/4

Step-by-step explanation:

add the no. of red marbles and blue marbles

2+4 = 6

Probability so divide 6/8 simplified to 3/4

4 0

3 years ago

A dog breeder would like to know how many Dalmatian puppies are typically born in a litter. He conducts some research and select

podryga [215]

Answer:

c. 6.2 ± 2.626(0.21)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 101 - 1 = 100

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.626

The confidence interval is:

$\overline{x} \pm M$

In which $\overline{x}$ is the sample mean while M is the margin of error.

The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.

This means that $\overline{x} = 6.2$

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.626\frac{2.1}{\sqrt{101}} = 2.626(0.21)$

In which s is the standard deviation of the sample and n is the size of the sample.

Thus, the confidence interval is:

$\overline{x} \pm M = 6.2 \pm 2.626(0.21)$

And the correct answer is given by option c.

5 0

3 years ago

Madison received a share of $4230 for a fishing competition. She deposited it in the bank and left it for 3 years accumulating s

Elis [28]

Answer:

$4785.68

Step-by-step explanation:

Original amount: $4230

Interest for 1 year: 4.2%

First year;

$4230 + (4230 \times \frac{4.2}{100}) \\ = 4230 + 177.66 \\ = 4407.66$

Second year;

$4407.66 + (4407.66 \times \frac{4.2}{100} ) \\ = 4407.66 + 185.12172 \\ = 4592.78172$

Third year (total balance after 3 years);

$4592.78172 + (4592.78172 \times \frac{4.2}{100} ) \\ = 4592.78172 + 192.89683224 \\ =4785.67855224$

Round the number;

$4785.68

YOUR ANSWER hope this helps :))

6 0

3 years ago

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Tju [1.3M]

Answer:

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Step-by-step explanation:

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3 years ago

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What is the difference of 3.14 and the sum of 5.99 and 0.65?

charle [14.2K]

Answer:

3.5

Step-by-step explanation:

5.99+0.65=6.64

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3 years ago