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3 years ago

Find two positive fractions with a quotient of 5/6

1 answer:

3 0

Alright, so if we divide fractions we get
(x/y)/(a/b)= (x/y)*(b/a). If the x is 5 and the a is 6, as well as y and b being the same therefore cancelling out, we can write it easily. For example, we can write (5/100)/(6/100) or (5/60)/(6/60)

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What is the sum of the first 37 terms of the arithmetic sequence?

lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

$a_{n} = a_{1} + (n-1)*d$

The sum of the first n terms of an arithmetic sequence is given by:

$S_{n} = \frac{n(a_{1} + a_{n})}{2}$

In this question:

$a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6$

We want the sum of the first 37 terms, so we have to find $a_{37}$

$a_{n} = a_{1} + (n-1)*d$

$a_{37} = a_{1} + (36)*d$

$a_{37} = -27 + 36*6$

$a_{37} = 189$

Then

$S_{37} = \frac{37(-27 + 189)}{2} = 2997$

The sum of the first 37 terms of the arithmetic sequence is 2997.

6 0

3 years ago

Pls answer this i want to know ok ok ok ok ok

bogdanovich [222]

Step-by-step explanation:

$given \\ (x + \frac{1}{x} ) = 7 \\ now \\ (x + \frac{1}{x} ) ^{2} \\ (7) ^{2} (given) \\ 49 \\ again \\ {x}^{2} + ( \frac{1}{x} ) ^{2} \\ (x + \frac{1}{x}) ^{2} - 2 \times x \times \frac{1}{x} \\ (7) ^{2} - 2 \\ 49 - 2 \\ 47$

6 0

3 years ago

Hey salesman needed to settle for Willie he priced at $3500 the first day it was on the market the second he reduced it by 10% w

nataly862011 [7]

Answer:

The price of the four wheeler after with the reduction is $3,150.

Step-by-step explanation:

The original price of the Willa = $3500

The reduction percentage = 10%

Now, 10% of $ 3500 = $\frac{10}{100} \times 3500 = 350$

So, the reduction amount is $350.

So, the reduced price of Willa = The original price - The reduced price

= $3500 - $350. = $3,150.

Hence, price of the four wheeler after with the reduction is $3,150.

5 0

4 years ago

Damon is researching the business options available in order to turn his photography hobby into a business. He surveyed 100 pote

kvasek [131]

Answer:

The answer is open up a studio with a gallery of his sample work.

5 0

3 years ago

g If a random sample of 18 deliveries was selected instead and the standard deviation of these delivery times was found to be 9.

lana [24]

Answer:

We can use the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

If we use this formula we got:

$z=\frac{21-20}{\frac{9.31}{\sqrt{18}}}= 0.456$

$z=\frac{25-20}{\frac{9.31}{\sqrt{18}}}= 2.279$

And using a calculator, excel or the normal standard table and we have that:

$P(0.456$

Step-by-step explanation:

We assume this previous info: It is known that the amounts of time required for room-service delivery at a certain Marriott Hotel are Normally distributed with the average delivery time of 20 minutes.

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

$X \sim N(20,9.31)$