This relative frequency is an experimental probability: that of getting a red on a spinner. In 300 spins, we'd expect to get 0.4(300), or 120, reds.
Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
Answer:
B
Step-by-step explanation:
i think
Answer: C. 6
Step-by-step explanation:
Given : Time taken by Machine R to do the job = 36 hours
Time taken by Machine S to do the job = 18 hours
Let x be the number of each type of machine to do the job.
Then , according to the question the required equation will be :-
Hence, the number of machines of type R were used =6
Answer:
White = 1.67 gallons
Blue = 0.33 gallons
Step-by-step explanation:
White : blue = 3 : 1
Total ratio = 3 + 1
= 4
Gallons = 2
White = 3 /4 × 2
= 6 /4
= 3/2 gallons
Blue = 1 / 4 × 2
= 2/4
= 1/2
If he later decide to dilute the color to a ratio of 5:1
Total ratio = 5 + 1
= 6
Total gallons = 2
White = 5 / 6 × 2
= 10/6
= 5/3 gallons
Or
= 1.67 gallons
Blue = 1 / 6 × 2
= 2 / 6
= 1/3 gallons
Or
= 0.33 gallons
