Answer:
0.80589
Step-by-step explanation:
So all of the numbers of correct answers less than 4 are 0,1,2,3
We need to calculate the probability for each separately and then add them together.
To find the probability we have to first find the combination. We know that there’s n=8 trials and that p=0.3. So 1-0.3 gives us 0.7.
The combination formula is: ! / (!(−)!)
So the n would always =8, and the r would be 0,1,2,3. So you would have to calculate it for 0,1,2,3 Separately. This can be done by hand or you can use a simple combinations calculator online.
For 0;
The combination is 1,
1 x 0.3^0 x 0.7^8-0 =
0.057648
For 1;
The combination is 8,
8 x 0.3^1 x 0.7^8-1 =
0.19765
For 2;
The combination is 28
28 x 0.3^2 x 0.7^8-2 =
0.296475
For 3;
The combination is 56
56 x 0.3^3 x 0.7^8-3 =
0.254122
All that’s left is to add these four numbers;
0.057647 + 0.19765 + 0.296475 + 0.254122 = 0.80589
Answer:
B
Step-by-step explanation:
Whenever you are asked to find the number of square feet covered by something, you are finding an area. To find the area of Jason’s circle, you first need to figure out if you have been given the radius or the diameter. By definition, the diameter of a circle is the longest distance across the circle, so we know here that the diameter is 8 feet. This means that the radius is 4 feet. So...
A = π(4)2
= 16π
≈ 50.2 square feet
So, Jason’s circle will cover about 50.2 square feet of his wall (and B is the closest one to that)
351 because 293 multiplied by 3 = 879, and 1230 - 879 = 351
Answer:
x = 21/8
Step-by-step explanation:
Step 1: Write equation
x - 11 = 3 - 7(x - 1)
Step 2: Solve for <em>x</em>
<u>Distribute -7:</u> x - 11 = 3 - 7x + 7
<u>Combine like terms:</u> x - 11 = 10 - 7x
<u>Add 7x on both sides:</u> 8x - 11 = 10
<u>Add 11 on both sides:</u> 8x = 21
<u>Divide both sides by 8:</u> x = 21/8
