Answer:
$50 - d = $22.50
Step-by-step explanation:
Since she's receiving a change, it means that d is smaller than $50, therefore, it will be deducted from it to give the change.
9514 1404 393
Answer:
[[274][895][136]]
Step-by-step explanation:
Starting with the middle row, we need a product of two single-digit numbers that is between 53-1 = 52 and 53-9 = 44. Possible products are 5×9=45 and 6×8=48. This means the number in the middle position in the left column must be 8 or 5.
The middle number in the left column cannot be 5, because we must be able to get -5 by subtracting that number from a sum that is at least 3 = 1+2. So, the middle number in the left column is 8, the other two numbers in that column are 1 and 2, and the other two numbers in the middle row are 5 and 9.
There is no product of single-digit numbers that is 30-1 = 29, so the upper left number must be 2, and the bottom left number must be 1. The other two numbers on the top row must be 4 and 7, so that row's equation is 2+4×7=30.
The only remaining digits are 3 and 6. In order to have -3 on the bottom row, the equation there must be 1×3-6 = -3. Then the middle digit must be divisible by 3, so must be 9.
Our solution is ...
row 1: 2 + 7 × 4 = 30
row 2: 8 + 9 × 5 = 53
row 3: 1 × 3 - 6 = -3
And that makes the column equations be ...
col 1: 2 - 8 + 1 = -5
col 2: 7 + 9 / 3 = 10
col 3: 4 × 5 - 6 = 14
Answer:
The Pearson's coefficient of correlation between the is 0.700.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
The formula to compute correlation between two variables <em>X</em> and <em>Y</em> is:
The formula to compute covariance is:
The formula to compute the variances are:
Consider the table attached below.
Compute the covariance as follows:
Thus, the covariance is 75.
Compute the variance of X and Y as follows:
Compute the correlation coefficient as follows:
Thus, the Pearson's coefficient of correlation between the is 0.700.
Answer:
D 9/26
Step-by-step explanation:
Out of the 10th graders there are 104 total responses. Knowing we only need data from 10th graders we can ignore everything else. 36/104 10th graders like cats and if you divide that by 4 you'll get the only possible answer of 9/26. D 9/26 10th graders like cats.
