3X3X11 Write the number whose prime factorization is given

Mathematics

2 answers:

mixer [17]2 years ago

6 0

the prime factorization is 99

san4es73 [151]2 years ago

3 0

$3 \times 3 \times 11 = 99$

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Is the line y = 3x – 7 parallel or perpendicular to 3x + 9y = 9? Explain your answer.

Roman55 [17]

Y = 3x - 7...slope here is 3 and y int is -7

3x + 9y = 9
9y = -3x + 9
y = -1/3x + 1....slope here is -1/3 and y int is 1

the slopes 3 and -1/3 are negative reciprocals of each other...therefore, ur lines are perpendicular

7 0

2 years ago

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A certain organization recommends the use of passwords with the following format: vowel commavowel, consonant comma consonant c

zimovet [89]

The password format is = inpray93

vowel , consonant, consonant, consonant, vowel, consonant, number, number.

There are 21 consonants, 5 vowels and 10 number choices (0-9)

Since, there are 21 consonants and repetition is allowed so for 2nd, 3rd, 4th, and 6th positions 21 choices are available. For 1st and 5th positions, 5 choices are available and for 7th and 8th position there are 10 choices (0 to 9).

Passwords are not case sensitive which means upper case and lower case letters are same.

So, the number of passwords can be =

$5\times21\times21\times21\times5\times21\times10\times10$

= 486202500

Part (b) question is not given. But it can be opposite to the first part i.e when the password letters are case sensitive.

This means all the letters are different.

So, number of passwords will be =

$10\times42\times42\times42\times10\times42\times10\times10$

= 31116960000

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2 years ago

The Office of Student Services at UNC would like to estimate the proportion of UNC's 34,000 students who are foreign students. I

Pachacha [2.7K]

Answer:

Mean is 3.05

Standard deviation is 1.69.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are foreign, or they are not. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

The probability of x sucesses on n repeated trials, with p probability.

In this problem, we have a sample of 50 students, so $n = 50$ . The proportion of all UNC students that are foreign students is 0.061, so $p = 0.061$ .