Answer:
Step-by-step explanation:
None of them
A has (5, 13) and (5,17) That's 2 y values for the same x. You can't have that. A fails the vertical line test.
B has two y values for x = - 3. The two values are (-3,-1) and (-3,1). Both values eliminate B as an answer.
C fails because -1 has 2 y values (-4,52) and (-4,?) We can't see the bottom, but it is another value. There is an x value we cannot see that has 45 as an answer along with -7 for x. That's fine.
If there is a D answer, you almost have to choose it. There isn't much choice.
(9/18)(9/18) = 81/324. The probability that Amy takes out pink chips in both draws is 81/324.
In this example we will use the probability property P(A∩B), which means given two independent events A and B, their joint probability P(A∩B) can be expressed as the product of the individual probabilities P(A∩B) = P(A)P(B).
The total number of chips of different colors in Amy's bag is:
8 blue chips + 9 pink chips + 1 white chip = 18 color chips
Amy takes out a chip from the bag randomly without looking, she replaces the chip and then takes out another chip from the bag.
So, the probability that Amy takes out a pink chip in the first draw is:
P(A) = 9/18 The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.
Then, Amy replaces the chip an takes out another which means there are again 18 color chips divide into 8 blue chips, 9 pink chips, and 1 white chip. So, the probability of takes out a pink chip in the second draw is:
P(B) = 9/18 The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.
What is the probability that Amy takes out a pink chip in both draws?
P(A∩B) = P(A)P(B)
P(A∩B) = (9/18)(9/18) = 81/324
Answer:
42.43
Step-by-step explanation:
Given:
A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.
Question asked:
What is the area of the shaded region as shown in the figure ?
Solution:
First of all calculate area of circle and then area of rectangle:-
![Area\ of\ cirle=\pi r^{2}](https://tex.z-dn.net/?f=Area%5C%20of%5C%20%20cirle%3D%5Cpi%20r%5E%7B2%7D)
![=\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\ \\=78.571\ cm^{2}\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B22%7D%7B7%7D%20%5Ctimes5%5Ctimes5%5C%5C%20%5C%5C%20%3D%5Cfrac%7B550%7D%7B7%7D%5C%5C%20%20%5C%5C%3D78.571%5C%20%20%20cm%5E%7B2%7D%5C%5C)
<u>As here length an width both are 11 cm, we can say that this is a square.</u>
<u />![Area\ of\ square=(Side)^{2}](https://tex.z-dn.net/?f=Area%5C%20of%5C%20square%3D%28Side%29%5E%7B2%7D)
![=11\times11=121\ cm^{2}](https://tex.z-dn.net/?f=%3D11%5Ctimes11%3D121%5C%20cm%5E%7B2%7D)
Now, area of shaded region = Area of square - Area of circle
= 121 - 78.571 = 42.429 ![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Therefore, the area of the shaded region will be 42.43 ![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Answer:
93
Step-by-step explanation:
Remember the rules: Parentheses, multiply, divide, add, subtract (Polly Makes Dirty Attics Shiny).
3 · 32 + 8 ÷ 2 − (4 + 3)
3 · 32 + 8 ÷ 2 − 7
96 + 8 ÷ 2 − 7
96 + 4 − 7
100 − 7
93
Answer:
50%
Step-by-step explanation:
First, find the difference between the two values
1.8-1.2=0.6
Then divide the original value by the difference
difference/original value
0.6/1.2=0.5
0.5*100=50
So, the amount of iron increased by 50%
Hope this helped! :)