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3 years ago

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Mathematics

1 answer:

Westkost [7]3 years ago

8 0

Answer:

dy/dx = -b/a cot α

Step-by-step explanation:

x² / a² + y² / b² = 1

Take derivative with respect to x.

2x / a² + 2y / b² dy/dx = 0

2y / b² dy/dx = -2x / a²

dy/dx = -b²x / (a²y)

Substitute:

dy/dx = -b²a cos α / (a²b sin α)

dy/dx = -b cos α / (a sin α)

dy/dx = -b/a cot α

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In order to develop a more appealing cheeseburger, a franchise uses taste tests with 9 different buns, 8 different cheeses, 4

Nesterboy [21]

Answer:

8,640 minutes

Step-by-step explanation:

Re-read the question: "How long would it take the test to eat all possible cheeseburgers?"

What are they asking for?

Answer: Total time test all possible burgers

We can break down the answer into a multiplication:

Total time to test all possible burgers =

Time to test each burger x Number of possible burgers

A) Time to test each burger is given - 10 minutes.

B) Number of possible burgers is essentially the total number of combinations of toppings you can have. The order of toppings doesn't matter, so this problem is called a "Combination Problem," as opposed to a "Permutation Problem" which is a problem when order matters.

How do we solve Combination problems?

Just multiply the quantity of each option.

Number of combinations of burger toppings = # bun types x # cheese types x # lettuce types x # tomato types

Number of combinations of burger toppings = 9 x 8 x 4 x 3 = 864

Now plug this into the original equation

Total time to test all possible burgers

= time to test each burger x number of possible burgers

= 10 minutes x 864 possible options

= 8,640 minutes

7 0

4 years ago

) e number of viewers ordering a particular pay-per-view program is normally distributed. Past history shows that 33.00% of the

lubasha [3.4K]

Answer:

The mean of the number of people ordering the program is 22,046.5 and the standard deviation is 4,651.16.

Step-by-step explanation:

Problems of normally distributed samples are 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.

Past history shows that 33.00% of the time fewer than 20,000 people order the program

This means that X = 20000 has a pvalue of 0.33. So when X = 20000, Z = -0.44.

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

$-0.44 = \frac{20000 - \mu}{\sigma}$

$20000 - \mu = -0.44\sigma$

$\mu = 20000 + 0.44\sigma$

Only ten percent of the time do more than 28,000 people order the program.

This means that X = 28000 has a pvalue of 1-0.1 = 0.9. So when X = 28000, Z = 1.28.

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

$1.28 = \frac{28000 - \mu}{\sigma}$

$28000 - \mu = 1.28\sigma$

$\mu = 28000 - 1.28\sigma$

Also

$\mu = 20000 + 0.44\sigma$

$20000 + 0.44\sigma = 28000 - 1.28\sigma$

$1.72\sigma = 8000$

$\sigma = \frac{8000}{1.72}$

$\sigma = 4651.16$

$\mu = 20000 + 0.44\sigma = 20000 + 0.44*4651.16 = 22046.5$

The mean of the number of people ordering the program is 22,046.5 and the standard deviation is 4,651.16.

6 0

3 years ago

Help plzrtyujngfrthtrf g pls

Stella [2.4K]

Answer:

4 $\frac{1}{4}$

7 0

3 years ago

Read 2 more answers

the perimeter of a rectangle of a rectangular field is 76 ft. The length is 12 ft longer than the width. Find the fields dimensi

timurjin [86]

It’ll be length= 12ft width= 26ft
(76-24)/2= width

8 0

3 years ago

a box of marbles can be shared equally among 6,7,or 8 students with 4 marbles left over each time.what is the least possible num

Vlad1618 [11]

If there are 4 marbles left over each time, then we can forget about them for now.

So the question is, what is the smallest number than can be divided into 6,7 and 8?

the numbers have only one non-1 divisor in common: both 6 and 8 are divisible by 3.

so for our purposes we can "delete" one 2 and ask:

what is the smallest number than can be divided into 3,7 and 8 ?

There are no more divisors in common, so we just have to multiply them: 3*7*8=21*8=168

and the 4 marbles "extra"? We add them to this sum.

the the smallest possible number in the box is 168+4=172.

3 0

3 years ago