Answer:
a + b = 1 or 4
Step-by-step explanation:
The integer = 3a5b
The factors of the integer includes 5 and 6
∴ 5 × 6 = 30 is a factor of the integer hence 10 is also a factor which gives b = 0
We check for factors of four digit numbers with the first digit = 3, last digit = 0, penultimate to the last digit = 5 and divisible by 30
We have a50 divisible by 30, which gives, a5 divisible by 3 which includes
15 and 45 hence a can be 1 or 4 and a + b = 1 + 0 = 1 or 4 + 0 = 4.
Answer:
The dimensions of the box are 38.48 x 14.48 x 5.26 in.
Step-by-step explanation:
We will have a piece of cardboard with squares of side x cut from the corners to make a open box.
The volume of the box can be written as:
To calculate the maximum volume, we derive and equal to zero
We apply the quadratic equation to know the roots of the equation
The first solution is physically impossible, as the side that is cut would be bigger than 25.
So the real solution is for x=5.26 in.
Then, the dimensions of the box are:
Yes 1/4 is a rational number
Try to make sense out of this problem to where you can understand it
<u>Answers</u>
1. Minimum = 4
2. First quartile = 6.5
3. Median = 13.5
4. Third quartile = 19
5. Maximum = 20
<u>Explanation</u>
To calculate the measure of central tendency, you first arrange the set of the data in ascending order.
The set of data given will be;
4, 4, 9, 9, 18, 18, 20, 20.
Part 1:
The minimum value of the data is 4.
Part 2:
The first quatile is the median of the lower half which is comprised by:
4, 4, 9, 9
1st quartile = (4+9)÷2
= 13÷2
= 6.5
Part 3:
Median of the data is;
Median = (9+18)÷2
=27÷2
= 13.5
Part 4:
3rd quartile is the median of the upper half which comprises of;
18, 18, 20, 20.
3rd quartile = (18+20)÷2
= 48÷2
= 19
Part 5
The maximum of the set of data is 20.
