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3 years ago

Can someone plz help me solved this problem! I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!

Mathematics

1 answer:

Kobotan [32]3 years ago

6 0

Answer: $2 or $9

Step-by-step explanation:

Revenue (R) = $1800 , x = 1100 - 100p

R = xp

1800 = (1100 - 100p)p substituted x with 1100 - 100p

1800 = 1100p - 100p² distributed p into 1100 - 100p

100p² - 1100p + 1800 = 0 added 100p² & subtracted 1100p on both sides

p² - 11p + 18 = 0 divided both sides by 100

(p - 2) (p - 9) = 0 factored quadratic equation

p = 2 p = 9 applied Zero Product Property to solve for p

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Tom says that he needs 6 rolls to obtain each possible outcome on a 6-sided die. On the fourth roll, he rolls his second "3". To

Anna11 [10]

Answer:

Tom is incorrect

Step-by-step explanation:

The odds of getting any number on a 6-sided die are $1:6$

Every time he rolls, there is a $1:6$ chance he gets any number. Therefore, it is totally plausible to get the same number again. As the number of rolls tends toward infinity, the ratio of each number occurring to number of rolls equals $1:6$ .

3 0

3 years ago

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In a random sample of 80 teenagers, the average number of texts handled in a day is 50. The 96% confidence interval for the mean

Nastasia [14]

Answer:

a) $\bar X =\frac{46+54}{2}=50$

And the margin of error is given by:

$ME= \frac{54-46}{2}= 4$

The confidence level is 0.96 and the significance level is $\alpha=1-0.96=0.04$ and the value of $\alpha/2 =0.02$ and the margin of error is given by:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

We can calculate the critical value and we got:

$z_{\alpha/2} = 2.05$

And if we solve for the deviation like this:

$\sigma = ME * \frac{\sqrt{n}}{z_{\alpha/2}}$

And replacing we got:

$\sigma =4 *\frac{\sqrt{80}}{2.05} =17.45$

b) $ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}=2.05 *\frac{17.45}{\sqrt{160}}=2.828$

And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor $\sqrt{2}$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma$ represent the population standard deviation

n=80 represent the sample size

Solution to the problem

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For this case we can calculate the mean like this:

$\bar X =\frac{46+54}{2}=50$

And the margin of error is given by:

$ME= \frac{54-46}{2}= 4$

The confidence level is 0.96 and the significance level is $\alpha=1-0.96=0.04$ and the value of $\alpha/2 =0.02$ and the margin of error is given by:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

We can calculate the critical value and we got:

$z_{\alpha/2} = 2.05$

And if we solve for the deviation like this:

$\sigma = ME * \frac{\sqrt{n}}{z_{\alpha/2}}$

And replacing we got:

$\sigma =4 *\frac{\sqrt{80}}{2.05} =17.45$

Part b

For this case is the sample size is doubled the margin of error would be:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}=2.05 *\frac{17.45}{\sqrt{160}}=2.828$

And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor $\sqrt{2}$

5 0

2 years ago

Step by step show answer for problem 3-3×6+2

storchak [24]

Do it according to the order of operations
(P)E^MxD/A+S-
the answer would be -13

4 0

3 years ago

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Multiply. 4v (3) help?

dsp73

Answer:

12th ...

Step-by-step explanation:

4v (3)

=4v × 3 = 12v

6 0

3 years ago

H+3h+4h=100 how do i get h?

Dominik [7]

Answer:

h = 12.5

Step-by-step explanation:

Simplifying

h + 3h + 4h = 100

Combine like terms: h + 3h = 4h

4h + 4h = 100

Combine like terms: 4h + 4h = 8h

8h = 100

Solving

8h = 100

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Divide each side by '8'.

h = 12.5

Simplifying

h = 12.5

7 0

3 years ago

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