When a die is rolled, there are six posible results:
1, 2, 3, 4, 5, and 6
Total number of posible results: n=6
Divisible by 4 is only the result 4
Number of favorable results: f=1
P(divisible by 4)=f/n
P(divisible by 4)=1/6
P(divisible by 4)=0.1667
P(divisible by 4)=0.1667*100%
P(divisible by 4)=16.67%
P(divisible by 4)=1/6=0.1667=16.67%
Answer:
The answer to your question is
Part A. Archimedes grades 6 1/4 tests per day
Part B. 8 19/32 days
Part C. 6 26/29 days
Step-by-step explanation:
Part A
Total time = 6 2/5 days
Number of tests = 40 tests
Process
1.- Convert the mixed fraction to improper fraction
6 2/5 = (30 + 2) / 5 = 32/5
2.- Divide 40 by 32/5
40/1 / 32/5 = (40 x 5) / (32 x 1)
= 200 / 32
Simplify
100 / 16 = 50/8 = 25/4
3.- Convert 25/4 to mixed fractions
6
4 25
1
25/4 = 6 1/4
Archimedes grade 6 1/4 tests per day
Part B
15 more tests
Total time = 32/5
Total tests = 40 + 15 = 55
Process
1.- Divide 55 by 32/5
55 / 1 / 32 /5 = (55 x 5) / (32 x 1)
= 275 / 32
2.- Convert 275/32 to a mixed fraction
8
32 275
256
19
Result 8 19/32 days
Part C
1.- Divide 55 by 7.25
50 / 7.25 = 5000 / 725
6
725 5000
- 4350
650
Result 6 650/750 = 6 26/29
Answer:
Length = 4 inches
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
If x = 2
Perimeter = 8x - 4
= 8(2) - 4
= 16 - 4
= 12 inches
Width = 3x - 4
= 3(2) - 4
= 6 - 4
= 2 inches
Perimeter of a rectangle = 2(length + width)
12 = 2(length + 2)
12 = 2length + 4
12 - 4 = 2 length
8 = 2 length
Length = 8/2
Length = 4 inches
Answer:
Step-by-step explanation:
<u>Given functions</u>:
Solve for p(x) = r(x):
As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:
<u>Quadratic Formula</u>
Therefore:
Substitute the values of a, b and c into the <u>quadratic formula</u> and solve for x:
Therefore, the solutions are:
Learn more about quadratic equations here:
brainly.com/question/27750885
brainly.com/question/27739892
412 + 162 + 347 = 921. Because it is closer to 900 than 1,000, the answer is 900.
