Answer:
9
Step-by-step explanation:
The number of darts that failed to hit the bulls eye is 40% of 15 subtracted from 15
Since 40% of the darts hit the bulls eye .
Therefore
40% of 15
40/100 x 15
0.4 x 15
6
This means that 6 darts hit the bulls eye.
Therefore,number of darts that did not hit the bulls eye is
15 - 6 = 9
9 darts failed to hit the bulls eye
Answer:
Size 50
Step-by-step explanation:
You should choose the larger sample size. This is because if you take the mean, it will help to cancel out outliers. For instance, most people exercise half an hour. With sample size of 10, there might be one person who doesn't exercise, thus dragging down the mean. A larger sample size would have a greater ratio of "average" people.
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
We will use the Gaussian elimination method to solve this problem. To do so, let's follow the following steps:
Step 1: Let's multiply first equation by −2. Next, add the result to the second equation. So:
Step 2: Let's multiply first equation by −1. Next, add the result to the third equation. Thus:
Step 3: Let's multiply second equation by −35, Next, add the result to the third equation. Therefore:
Step 4: solve for z, then for y, then for x:
By substituting 
into the first equation, we get the 
. So:
Answer:
1. |y| sqrt(10)
2. |x| sqrt(x)
3. a^2 sqrt(a)
4. 4 |y|^3 sqrt(3)
5. 1/4 *|x| sqrt(3x)
Step-by-step explanation:
1. sqrt(10y^2)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(y^2) sqrt(10)
|y| sqrt(10)
We take the absolute value of y because -y*-y = y^2 and the principle square root is y
2. sqrt(x^3)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(x^2) sqrt(x)
|x| sqrt(x)
3. sqrt(a^5)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(a^4) sqrt(a)
a^2 sqrt(a)
4. sqrt(16 y^7)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(16) sqrt(y^6)sqrt(y)
4 |y|^3 sqrt(3)
5. sqrt(3/16x^3)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(1/16) sqrt(x^2)sqrt(3x)
1/4 *|x| sqrt(3x)
