<h2>
Hello!</h2>
The answer is:
The first option:
<h2>
Why?</h2>
From the statement, we know the dimensions of the box, and the length of the sides to be cut (x).
So,
Working with the length of the box, we have:
Let be 8 the length of the cardboard for the length of the box, so, if we cut out the side of length "x", we have:
Now,
Working with the width of the box, we have:
Let be 6 the length of the cardboard for the width of the box, so, if we cut out the side of length "x", we have:
Now that we already know the length and the width of the box, we know that the bottom of the box will have the same length "x", so, the greatest possible volume of the cardboard box will be:
Have a nice day!
The length is 95 because if you subtract your width from the perimeter, you get 95 as your length.
The number of strings that can be formed by ordering the letters SCHOOL using some or all of the letters is 1440 strings
<h3>
What is Permutation in Mathematics ?</h3>
Permutation can be defined as number of ways in which things can arranged.
We were given to find how many strings that can be formed by ordering the letters SCHOOL using some or all of the letters.
First of all, How many distinct letters are in the word SCHOOL ?
The distinct letters are 5 in numbers.
What is the total number of letters in the word SCHOOL ?
The total number of letters is 6.
Then
6! + 5
That is, 6 factorial + 6 permutation 5
( 6 x 5 x 4 x 3 x 2 x 1 ) + 6!/( 6 - 5)!
720 + 720
1440 strings
Therefore, the number of strings that can be formed by ordering the letters SCHOOL using some or all of the letters is 1440 strings
Learn more about Permutation here: brainly.com/question/4658834
#SPJ1
Answer:
The probability that her internet service will not be broken for five days in a row is 243/1024
Step-by-step explanation:
Here, we want to calculate the probability that her internet service is not broken for five days in a row
Let the event that her internet will be broken be B and the event that her internet will not be broken be N
P(B ) = 25% = 0.25
P(N) = 1-0.25 = 0.75 = 3/4
Thus, the probability that her internet is not broken for five days in a row = P(N) * P(N) * P(N) * P(N) * P(N)
= 3/4 * 3/4 * 3/4 * 3/4 * 3/4 = 243/1024
Hello :
z = - 4 - <span>√2 i
</span><span>|z| = </span>√((-4)²+(√2)²) =√(16+2)=√18=3 √2
