Chemistry question: What is the mass, in grams, of a sample of 6.12 × 1024 atoms of manganese (Mn)?

Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are sel

serious [3.7K]

Complete Questions:

Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers.

a. 40

b. 48

c. 56

d. 64

Answer:

a. 0.35

b. 0.43

c. 0.49

d. 0.54

Step-by-step explanation:

(a)

The objective is to find the probability of selecting none of the correct six integers from the positive integers not exceeding 40.

Let s be the sample space of all integer not exceeding 40.

The total number of ways to select 6 numbers from 40 is $|S| = C(40,6)$ .

Let E be the event of selecting none of the correct six integers.

The total number of ways to select the 6 incorrect numbers from 34 numbers is:

$|E| = C(34,6)$

Thus, the probability of selecting none of the correct six integers, when the order in which they are selected does rot matter is

$P(E) = \frac{|E|}{|S|}$

$= \frac{C(34, 6)}{C(40, 6)}\\\\= \frac{1344904}{3838380}\\\\=0.35$

Therefore, the probability is 0.35

Check the attached files for additionals

8 0

3 years ago

Need some help with this question please

Serggg [28]

Answer:

$\frac{15}{17}$

Step-by-step explanation:

$\cos( \alpha ) = \frac{ad}{hip} \\ \\ \sin( \alpha ) = \frac{op}{hip}$

Pythagorean theorem

hip² = op² + ad²

17² = x² + 8²

x² = 17² - 8²

$x \: = \sqrt{{17}^{2} - {8}^{2} } \\ x = \sqrt{289 - 64} \\ x = \sqrt{225} \\ x = 15$

$\sin( \alpha ) = - \frac{15}{17}$

$\sin( - \alpha ) = \frac{15}{17}$

4 0

3 years ago

Harrison has 80 CDs in his music collection.

melamori03 [73]

Answer:

THE ANSWER IS 9 CDS THANK ME LATER

Step-by-step explanation:

3 0

2 years ago

The common ratio in a geometric series is 4 and the first term is 3.

kodGreya [7K]

Answer:

The sum of the first 8 terms in the series is 65535.

Step-by-step explanation:

We have,

The common ratio in a geometric series, r = 4

First term of GP is, a = 3

It is required to find the sum of the first 8 terms in the series. The sum of first n terms of a GP is given by :

$S_n=\dfrac{a(r^n-1)}{r-1}, r>1$

Here, n = 8

$S_8=\dfrac{3\times ((4)^8-1)}{4-1}\\\\S_8=65535$

So, the sum of the first 8 terms in the series is 65535.

3 0

2 years ago

Will give brainlist<br><br> explain how the number 0.10 likelihood is unlikely

Mrac [35]

Answer

Step-by-step explanation 0 indicates and unlikely event large numbers indicate greater likli hood proply around 1/2 indicates that niether is unlikely can i have brailies now

3 0

3 years ago