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4 years ago

Consider a sequence generated by the formula f(n) = 6n − 4 starting with n = 1. Generate the terms f(1),

Mathematics

1 answer:

Ierofanga [76]4 years ago

8 0

Answer:

See explanation below

Step-by-step explanation:

To get all the terms in this sequence, all you need to do is to put the values of n, starting from 1 to 5 in the formula.

The part where n is, you just put the value given.

To get for example f(5), you only need to put n = 5 in the formula, do the math and then get the result.

Here are the values of f1, f2, f3, f4 and f5. Again, we will use the following values for n: 1,2,3,4,5

f(1) = 6(1) - 4 = 6 - 4 = 2

f(2) = 6(2) - 4 = 12 - 4 = 8

f(3) = 6(3) - 4 = 18 - 4 = 14

f(4) = 6(4) - 4 = 24 - 4 = 20

f(5) = 6(5) - 4 = 30 - 4 = 26

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Solve for x<br><br> x/4 - 3 = 0

stiv31 [10]

Answer:

Step-by-step explanation:

x/4 - 3 = 0

x/4 = 3

x = 12

5 0

3 years ago

Read 2 more answers

Molly bought a pair of gloves and a skirt. The gloves cost £4. She sold the gloves and skirt for a total of £48. She made 100% p

Nimfa-mama [501]

Answer:

Profit % = 111.1 %

Step-by-step explanation:

Cost of glove = £4

Sales price of glove and skirt = £48

100% profits on the cost of the glove

20% profit on the total cost

Profit on the total cost = 20% = 0.20

Total cost + 0.20 total cost = Sale value

1.20 * total cost = 48

Total cost = 48 / 1.20

Total cost = 40

Cost of the skirt = Total cost - cost of the gloves

Cost of the skirt = 40 - 4

= 36

Price of the skirt = total value - price of the gloves

Total value = £48

100% of £4 = 100/100 * £4

= £4

Profits + cost of glove = $8

Amount remaining = £48 - £8

= £40

Profit percentage on the skirt = price of the skirt / cost of the skirt

= 40 / 36 * 100

= 1.1111 * 100

Profit % = 111.1 %

3 0

4 years ago

Suppose that 16% of the population of the U.S. is left-handed. If a random sample of 170 people from the U.S. is chosen, approxi

Shalnov [3]

Answer:

0.6064 = 60.64% probability that fewer than 29 are left-handed.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

16% of the population of the U.S. is left-handed.

This means that $p = 0.16$

Sample of 170 people

This means that $n = 170$

Mean and standard deviation:

$\mu = E(X) = np = 170*0.16 = 27.2$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{170*0.16*0.84} = 4.78$

Probability that fewer than 29 are left-handed.

Using continuity correction, this is P(X < 29 - 0.5) = P(X < 28.5), which is the pvalue of Z when X = 28.5. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{28.5 - 27.2}{4.78}$

$Z = 0.27$

$Z = 0.27$ has a pvalue of 0.6064

0.6064 = 60.64% probability that fewer than 29 are left-handed.

6 0

3 years ago

Tom and jerry both earn the same monthly salary. each month: tom saves 35% of his salary. jerry spends of his salary and saves t

Yanka [14]

The person that saves the most money every month is given as Jerry

<h3>How to solve for the savings</h3>

We have to solve for 35 percent of 5 dollars

= 0.35 * 45

= 1.75

This is the amount that Tom saves

The question tells us that Jerry spends 2/5 of his, hence he would save 2/5

then we have 2/5 * 5

= 2

Therefore we have that Jerry is the one that saves the most money because he saves 2 dollars.

Complete question

Tom and Jerry both earn the same monthly salary.

Each month

Tom saves 35% of his salary.

Jerry spends 3/5

of his salary and saves the rest of his salary.

Work out who saves the most money each month.

You must show your working.

Read more on savings here: brainly.com/question/25787382

#SPJ4

4 0

2 years ago

How do I do this qn?

denis-greek [22]

You can take the log of the left and right hand side, and then apply the <span>logarithm rules:

log(a</span>ˣ) = x·log(a)
log(ab) = log(a) + log(b)

log(9^(x-1) * 2^(2x+2)) = log(6^(3x))
log(9^(x-1)) + log(2^(2x+2)) = 3x log(6)
(x-1) log(9) + (2x+2) log(2) - 3x log(6) = 0
x(log9 + 2log2 - 3log6) = log9 - 2log2
x = (log9 - 2log2) / (log9 + 2log2 - 3log6)

simplifying by writing log9 = 2log3 and log6 = log2+log3

x= 2(log3 - log2) / (2log3 + 2log2 - 3log2 - 3log3) =
x= -2(log3 - log2) / (log3 + log2) = -2 log(3/2) / log(6)

So 6^x = 4/9

3 0

4 years ago