Step-by-step explanation:
8.
Prime factorization of 48 is :
Option (3) is true.
9.
Prime factorization of 19 is:
19 = 19 × 1
Option (c) is correct.
(10).
Prime factorization of 924 is:
924 = 2 x 2 x 3 x 7 x 11
= 2² x 3¹ x 7¹ x 11¹
Hence, this is the required solution.
<span><u><em>Answer:</em></u>
The difference between successive terms is 10
<u><em>Explanation:</em></u>
To know the factor by which a certain pattern is increasing/decreasing, you need to subtract its successive terms.
If the subtraction gives you 10, this means that the pattern is increasing by 10
<u>Examples:</u>
<u>10, 20, 30, 40, 50, .....</u>
20 - 10 = 10
30 - 20 = 10
40 - 30 = 10
50 - 40 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, this pattern is increasing by 10
<u>37, 47, 57 , .....</u>
47 - 37 = 10
57 - 47 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, the pattern is increasing by 10
Hope this helps :)</span>
Answer:
After the 35 gel pens??
Step-by-step explanation:
Answer:
Hi there!
The correct answer is: 20
Step-by-step explanation:
knowing this a right triangle you can solve this problem in two ways
Method One: Pythagorean Theorem
a^2 + b^2 = c^2 then plug in the values
(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2
square root both sides and you get c = 20
Method Two: Pythagorean Identities
if you ever learned the Pythagorean identity 3,4,5
this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4
so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20
Answer:
The standard deviation of X is 0.7
Step-by-step explanation:
We are given the following distribution:
x: 0 1 2 3
P(x): 0.3 0.5 0.2 0.4
We have to find the standard deviation of X.
Formula:
Thus, the standard deviation of X is 0.7
