Answer:
7.8
Step-by-step explanation:
60 × 13%
= 60 × 0.13
= 7.8
Using prime factorization, the LCM and GCF of numbers are
1) For 46 and 4
GCF = 2
LCM = 92
2) For 2 and 34
GCF = 2
LCM = 34
3) For 32 and 4
GCF = 4
LCM = 32
<h3>What is meant by prime factorization?</h3>
A natural number other than 1 with just the number 1 and itself as factors is known as a prime factor. Actually, 2, 3, 5, 7, 11, and so on are the first few prime numbers. For numbers, we may now also employ what is known as prime factorization, which really involves utilizing factor trees.
When a number is expressed as the product of its prime factors, this is known as prime factorization.
1) The factors of the numbers are
46 = 2 × 23
4 = 2 × 2
GCF = 2
LCM = 2 × 2 × 23
= 92
2) The factors of 34 are
34 = 2 × 17
GCF = 2
LCM = 2 × 17
=34
3) The factors of the numbers are
32 = 2 × 2 × 2 × 2 × 2
4 = 2 × 2
GCF = 2 × 2
= 4
LCM = 2 × 2 × 2 × 2 × 2
= 32
To know more about prime factorization, visit:
brainly.com/question/10454590
#SPJ13
14.29 * .0725 = 1.04
1.04 * 3 = 3.12
Have you learned about the Pythagorean theorem? a² + b² = c² . . . you should teach them about this.
Answer:
The student must score 79.75% to be invited to join the honors program.
Step-by-step explanation:
Let <em>X</em> denote the score of a freshman in the entrance exam.
It is provided that the average test score is 78%, with a standard deviation of 11%.
It is provided that the top 10% being offered admission to the university's honors program.
Let <em>x</em> denote the score eligible for being offered admission to the university's honors program.
Then, P (X ≤ x) = 0.90.
Then P (Z < z) = 0.90.
The corresponding <em>z</em>-score is, 1.28.
*Use a <em>z</em>-table<em>.</em>
Compute the value of <em>x</em> as follows:
![z=\frac{x-\mu}{\sigma/\sqrt{n}}\\\\1.28=\frac{x-78}{11/\sqrt{65}}\\\\x=78+(1.28\times \frac{11}{\sqrt{65}})\\\\x=79.75\%](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%2F%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C1.28%3D%5Cfrac%7Bx-78%7D%7B11%2F%5Csqrt%7B65%7D%7D%5C%5C%5C%5Cx%3D78%2B%281.28%5Ctimes%20%5Cfrac%7B11%7D%7B%5Csqrt%7B65%7D%7D%29%5C%5C%5C%5Cx%3D79.75%5C%25)
Thus, the student must score 79.75% to be invited to join the honors program.