Answer:
∣∣5∣∣+∣∣−7∣∣+∣∣9∣∣+∣∣−13∣∣
Step-by-step explanation:
Answer:
31
Step-by-step explanation:
Source: Google
Answer: 0.0766
Step-by-step explanation:
Let x be the random team scores.
Given: Mean = 76
Standard deviation = 8.4
We assume that x follows normal distribution.
The probability that a random team scores less than 64 points = P(x<60)
Hence, the probability that a random team scores less than 64 points =0.0766
Step-by-step explanation:
Original x-value = 21
New x-value = 21 * (-1/7) = -3.
Original y-value = 28
New y-value = 28 * (-1/7) = -4.
Hence the coordinates of the new point is (-3,-4).
Answer:
x=5, y=2
Step-by-step explanation:
You simply write down what you see:
3x - 4y + 4x - 5y = 17
2x - 3y + 3x - 5y = 9
Then you simplify by grouping the x and the y terms:
7x - 9y = 17
5x - 8y = 9
Now you want to get equal amounts of x or y. Let's go for x. If we multiply the top eq with 5 and the bottom one with -7, we get:
35x - 45y = 85
-35x + 56y = -63
-------------------------+ now we can add them:
11y = 22 divide by -11
y = 2
So 7x - 18 = 17, x =5
Finally, it makes sense to double check by filling in these answers in the original equations, just to see if no mistakes were made:
3*5 - 4*2 = 7
4*5 - 5*2 = 10
7+10 = 17: ok!
2*5 - 3*2 = 4
3*5 - 5*2 = 5
4+5 = 9: ok!
