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3 years ago

How do I do sample space?

Mathematics

1 answer:

labwork [276]3 years ago

7 0

The sample space is all of the possible combinations using the stuff given. For example, you can make a ham and rye sandwich, a ham and sourdough sandwich, and a ham and white sandwich, and so on.

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The mean of seven positive integers is 16. When the smallest of these seven integers is removed, the sum of the remaining six in

VashaNatasha [74]

Answer: The value of the integer that was removed = 4

Step-by-step explanation:

Sum of n values= Mean x n

Given: n = 7 , Mean = 16

Let x= integer removed.

Sum of remaining 6 integers = 6

$\Rightarrow\ x+108 = 16\times7\\\\\Rihghtarrow\ x+108= 112\\\\\Rightarrow\ x=112-108\\\\\Rightarrow\ x= 4$

Hence, the value of the integer that was removed = 4

8 0

2 years ago

A professor pays 25 cents for each blackboard error made in lecture to the student who pointsout the error. In a career ofnyears

marta [7]

Answer:

(a) The probability that Y₂₀ exceeds 1000 is 3.91 × 10⁻⁶.

(b) n = 28.09

Step-by-step explanation:

The random variable Yₙ is defined as the total numbers of dollars paid in n years.

It is provided that Yₙ can be approximated by a Gaussian distribution, also known as Normal distribution.

The mean and standard deviation of Yₙ are:

$\mu_{Y_{n}}=40n\\\sigma_{Y_{n}}=\sqrt{100n}$

(a)

For n = 20 the mean and standard deviation of Y₂₀ are:

$\mu_{Y_{n}}=40n=40\times20=800\\\sigma_{Y_{n}}=\sqrt{100n}=\sqrt{100\times20}=44.72\\$

Compute the probability that Y₂₀ exceeds 1000 as follows:

$P(Y_{n}>1000)=P(\frac{Y_{n}-\mu_{Y_{n}}}{\sigma_{Y_{n}}}>\frac{1000-800}{44.72})\\=P(Z> 4.47)\\=1-P(Z$

**Use a z table for probability.

Thus, the probability that Y₂₀ exceeds 1000 is 3.91 × 10⁻⁶.

(b)

It is provided that P (Yₙ > 1000) > 0.99.

$P(Y_{n}>1000)=0.99\\1-P(Y_{n}$

The value of z for which P (Z < z) = 0.01 is 2.33.

Compute the value of n as follows:

$z=\frac{Y_{n}-\mu_{Y_{n}}}{\sigma_{Y_{n}}}\\2.33=\frac{1000-40n}{\sqrt{100n}}\\2.33=\frac{100}{\sqrt{n}}-4\sqrt{n} \\2.33=\frac{100-4n}{\sqrt{n}} \\5.4289=\frac{(100-4n)^{2}}{n}\\5.4289=\frac{10000+16n^{2}-800n}{n}\\5.4289n=10000+16n^{2}-800n\\16n^{2}-805.4289n+10000=0$

The last equation is a quadratic equation.

The roots of a quadratic equation are:

$n=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$

a = 16

b = -805.4289

c = 10000

On solving the last equation the value of n = 28.09.

8 0

3 years ago

The sales tax in New Jersey is 6%. For a $16 book, what will the total cost be, including sales tax?

Rasek [7]

The sales tax in New Jersey is 6%. For a $16 book, what will the total cost be, including sales tax?
Solutions:
=> 16 dollars is the amount of book
=> 6% is the sales tax which is equals to (6% / 100% = 0.06)
Let’s follow the formula to get the total amount to be paid.
=> 16 dollars * .06 = .96 dollars
Now, let’s add this together:
=> .96 + 16 dollars = 16.96 dollars.

5 0

2 years ago

Read 2 more answers

9:18 in the lowest term

skelet666 [1.2K]

9/18 in lowest term is 1/2

Work:

9/18 ÷ 9/9 = 1/2

1/2 = 0.5

0.5 = 50%

6 0

3 years ago

Read 2 more answers

Since only 2 of the 50 states are not connected to the mainland, what percentage of the states ARE on the mainland?

Nitella [24]

Answer: