In the two-way table, It<span> is used to examine relationships between categorical variables. and the entries in the cells can be relative frequencies, that we known as "Conditional Frequency/distribution"
In order to determine the denominator, we add all the values in given column, and for second column,we add all the numbers in 2nd column, & it would be the denominator for each & every cell in that column.
If Scatter plot has no association, then it would not indicate any trends. It means, progression of number can't be formularized in a specific way, 'cause there is no relation between the numbers
Hope this helps!</span>
Answer:
C. y = csc x
Step-by-step explanation:
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Answer:
2x + y
Step-by-step explanation:
x² + xy - y² = 4
→ Remember the rule, bring the power down then minus 1
2x + y
Answer:
0.1 or 1/10
Step-by-step explanation:
The digits 4, 5, 6, 7 and 8 are randomly arranged to form a three digit number, where the digits are not repeated.
This is question of permutation.
Imagine this sum as; there are 3 boxes(blank spaces for digits) and 5 different fruits(digits) are to be put in these boxes, where a box can hold a maximum of only 1 fruit. The number of such permutations are: ⁵P₃
By formula (a! is factorial a):
ᵃPₙ ![= \frac{a!}{(a-n)!}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7Ba%21%7D%7B%28a-n%29%21%7D)
⁵P₃ ![= \frac{5!}{(5-3)!}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B5%21%7D%7B%285-3%29%21%7D)
⁵P₃ ![= \frac{5!}{2!}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B5%21%7D%7B2%21%7D)
⁵P₃ ![= \frac{5*4*3*2*1}{2*1}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B5%2A4%2A3%2A2%2A1%7D%7B2%2A1%7D)
⁵P₃= 60
This is the total count of possible numbers that can be formed.
Now, for a number to be greater than 800 and even; first digit should necessarily be 8. Last digit can be 4 or 6. Using these conditions, there are 6 possibilities. 854, 864, 874, 846, 856, 876 are the numbers.
The probability that number is even and greater than 800 is:
![P=\frac{ favorable outcomes}{equally likely possible outcomes}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B%20favorable%20outcomes%7D%7Bequally%20likely%20possible%20outcomes%7D)
![P=\frac{6}{60}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B6%7D%7B60%7D)
![P=\frac{1}{10}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B1%7D%7B10%7D)
Answer:
1)-9
2)16
3)-2
Step-by-step explanation:
1)
-3x + 4 = 31
-3x = 31 - 4
-3x = 27
-x = 27/3
-x = 9
x = -9
2)
2x + -10 = 22
2x = 22 + 10
2x = 32
x = 32/2
x = 16
3)
40 = 32 – 4r
-4r = 40 - 32
-4r = 8
-r = 8/4
-r = 2
r = -2