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Lyrx [107]
3 years ago
14

A website randomly creates an initial password for people when they first sign up for an account. The password consists of five

letters, and cannot include numbers or special characters. The letters of the password cannot repeat. What is the approximate probability that a password will have no vowels? What is the approximate probability that the first letter of the password will be m?
Mathematics
2 answers:
Law Incorporation [45]3 years ago
7 0
The answers are C: 0.30934 for the first one, and B: 0.03846 for the second. 
sashaice [31]3 years ago
3 0
This is a non replacement question, so each letter decreases by 1.

No vowels
The question actually starts right here. The preamble tells us that we can only use letters, no numbers, and no symbols. We are not asked to do anything. The first question makes no mention of there being anything special about m. It can be there or it most likely is not. This part of the problem is the first part.

First Part
I'm not going to deal with y. I will declare it to be a consonant.
There are 5 vowels. None of them can be chosen.
21 letters remain (including the m since it has not been limited in any way yet).

21 * 20 * 19 * 18 * 17
================
26 * 25 * 24 * 23 * 22

2441880 / 7893600
0.30934
Note: If your calculator has nPr on it, you can enter 21 nPr 5 to eliminate all the typing.

Second Part
No vowels and the first letter MUST be m
1 * 20 * 19 * 18 * 17/( 26 * 25 * 24 * 23 * 22)
116200/7893600 = 0.01473

Vowels and the first letter m.
1 * 25 * 24 * 23 * 22/ 7893600 = 0.03846

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Aneli [31]

Answer: Sally has 16 friends

Step-by-step explanation:

she has 40 balls

subtract by how many she gave away

40-8=32

she gave 2 to each friend

divide the balls left by 2

32/2=16

Sally has 16 friends

4 0
2 years ago
David wants to pack 574 cereal bars into bags of 10 and bags of 8 the number of bags of 8 is 2 more than the bags of 10. How man
BabaBlast [244]

Answer: Number of bags of 8. = 33

Number of bags of 10. = 31

Step-by-step explanation:

Let x = Number of bags of 8.

y = Number of bags of 10.

As per given.

8x+10y= 574   (i)

x=y+2 (ii)

Put value of x from (ii) in (i)

8(y+2)+10y= 574\\\\\Rightarrow\ 8y+16+10y=574\\\\\Rightarrow\ 18y=574-16\\\\\Rightarrow\ 18y=558\\\\\Rightarrow\ y=\dfrac{558}{18}\\\\\Rightarrow\ y=18

Put this in (i), x= 31+2=33

Hence,

Number of bags of 8. = 33

Number of bags of 10. = 31

6 0
2 years ago
Select all statements
Ilia_Sergeevich [38]

Step-by-step explanation:

(A) squares are congruant .

(B) rectangle having equal length of same side is congruent.

(C)it is true because it have same side length are equal.

(D)it is true because same same side length are equal.

(E) it is truebecause same side length are equal.

8 0
3 years ago
A wallet is originally $11.00. With a 40% discount, what is the sales price? Show your work.
NeX [460]

Answer:

$6.6

Step-by-step explanation:

you want to find out what 40% of the original price is ($11)

100% = 11

10%= 1.1

to get 40% you times it by 4

40%= 4.4

you then have to take away the sale reduction from the original

11- 4.4 =$6.6

8 0
3 years ago
Find f(−2) given that f(x)=2x2−3x+7.
Sedaia [141]

Answer:

21.

Step-by-step explanation:

f(x) = 2x^2 - 3x + 7.

When x = -2,

f(-2) = 2(-2)^2 - 3(-2) + 7

= 2(4) - (-6) + 7

= 8 + 6 + 7

= 21.

3 0
3 years ago
Read 2 more answers
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