Find the volume of each prism. 5 in. hight 17 in. length 10 in. length

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

2 years ago

What is the quotient of m^6/5 divided by 5/m^2

DENIUS [597]

Answer:

$\large\boxed{\dfrac{m^8}{25}}$

Step-by-step explanation:

$\dfrac{m^6}{5}\div\dfrac{5}{m^2}\\\\\text{Divide by a fraction is the same as multiply by its reciprocal}\\\\=\dfrac{m^6}{5}\times\dfrac{m^2}{5}=\dfrac{m^6\times m^2}{5\times5}\\\\\text{use}\ a^n\times a^m=a^{n+m}\\\\=\dfrac{m^{6+2}}{25}=\dfrac{m^8}{25}$

3 0

3 years ago

6 1/4 minus 3 5/8 please answer this please

barxatty [35]

6-3=3
2/8-5/8=3/8
you would have to change the denominator

5 0

3 years ago

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Mark and raquel were playing a word game.Raquel played the word math on a game board on a space marked’’triple points’.If her wo

Reika [66]

Answer:

111 points

Step-by-step explanation:

First, thing I like to do is to convert word problems into an eqaution or write down the important information. So, Math = 37 points and now the points are tripled because of where she placed the word. Also, tripled is implying that her base score for the word is 3 times the original value.

So, $37*3$

= 111 points.

5 0

3 years ago

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What is the first step in solving the equation

Varvara68 [4.7K]

Answer:

First Step: separate x^2 from -16

Second Step: add -16/25 to the other side.

Step-by-step explanation:

x^2 - 16/25 = 0

^^ this might be easier if you separate x^2 and -16

First Step-

so rewrite the problem as x^2/25 -16/25 = 0

then...

Second Step-

add -16/25 to the other side. This makes it: x^2/25 = 16/25

Continuation-

Now, you can multiply 25 on both sides to cancel it out.

so you have x^2 = -16

Message me if you want to solve for x.

4 0

2 years ago

Read 2 more answers