Answer:
a) 21/1240 = 0.017
b) 9/1240 = 7.26*10^-3
c) 3/2480 = 1.21*10^-3
Step-by-step explanation:
There are total 32 M&Ms in the bag
a) Probability that all three are blue M&Ms (without replacement)
(9/32)*(8*31)*(7/30) = 21/1240 = 0.017
b) Probability that the first one selected is blue, the second one selected is orange, and the third one selected is red
(9/32)*(6/31)*(4/30) = 9/1240 = 7.26*10^-3
c) Probability that the first two selected are red, and the third one selected is yellow
(4/32)*(3/31)*(3/30) = 3/2480 = 1.21*10^-3
Answer:
The minimum value of f(x) is 2
Step-by-step explanation:
- To find the minimum value of the function f(x), you should find the value of x which has the minimum value of y, so we will use the differentiation to find it
- Differentiate f(x) with respect to x and equate it by 0 to find x, then substitute the value of x in f(x) to find the minimum value of f(x)
∵ f(x) = 2x² - 4x + 4
→ Find f'(x)
∵ f'(x) = 2(2)
- 4(1)
+ 0
∴ f'(x) = 4x - 4
→ Equate f'(x) by 0
∵ f'(x) = 0
∴ 4x - 4 = 0
→ Add 4 to both sides
∵ 4x - 4 + 4 = 0 + 4
∴ 4x = 4
→ Divide both sides by 4
∴ x = 1
→ The minimum value is f(1)
∵ f(1) = 2(1)² - 4(1) + 4
∴ f(1) = 2 - 4 + 4
∴ f(1) = 2
∴ The minimum value of f(x) is 2
Answer:
1/3
Step-by-step explanation:
20 ml + 10 ml + 15 ml = 45 ml total
15 ml coconut milk/45 ml total = 15/45 = 1/3 (as a fraction)
Answer:
x = 1/2 , x = -1/2
Step-by-step explanation:
Given equation;
169x² - 42.25
Find:
Solution of equation using square root
Computation:
169x² - 42.25
We know that 13² = 169 and 6.5² = 42.25
So,
[13x]² - [6.5]²
a² - b² = (a + b)(a - b)
So,
[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]
So,
13x + 6.5 = 0 , 13x - 6.5 = 0
x = 6.5 / 13 , x = -6.5 / 13
x = 1/2 , x = -1/2
Answer:
Each day she must stay at 10 or more.
Step-by-step explanation:
In the drawing, put from Monday to Sunday, choose a value between 10 and 15 for each day and represent it.
