The z-score is defined as the number of standard deviations above the mean. Its formula is z = (x - mean) / (standard deviation). So if we are given that this player's height has a z-score of 4.10 relative to others, this means that his height is 4.10 standard deviations above the mean.
Answer:
Step-by-step explanation:
Answer:
uhm i would say the second one but i might be very wrong
Step-by-step explanation:
Let us evaluate each pair of expressions one at a time.
8. (n²+4) - n² and 4n.
(n²+4) - n² = n²+ 4 - n² = 4 which is not equal to 4n.
NOT EQUIVALENT
9. 3x + 5 and 2(x + 3)
2(x + 3) = 2x + 6 which is not equal to 3x + 5.
NOT EQUIVALENT
10. 15 - 6x and 15(1 - 6x)
15(1 - 6x) = 15 - 90x which is not equal to 15 - 6x
NOT EQUVALENT
11. (y + y + 2 + y) + 3y and 6y + 2
(y +y +2 + y) + 3y = y+y+y +2 + 3y = 3y + 2 + 3y = 6y + 2.
It matches the other expression.
EQUIVALENT
12. 8y - 3 + 10y and 3(6 - 1)
8y - 3 + 10y = 8y + 10y - 3 = 18y - 3
3(6 - 1) = 3(5) = 15
The two expressions do not match.
NOT EQUIVALENT.
Answer: Only the expressions in number 11 are equivalent.
Answer:
Step-by-step explanation:
Let 25% solution is x liters, then 50% solution is (80 - x) liters.
<u>Acid content is going to be same:</u>
- 0.25x + 0.5(80 - x) = 80*0.4
- 0.25x - 0.5x + 40 = 32
- 0.25x = 8
- x = 8/0.25
- x = 32 liters
So 32 liters of 25% solution and 80 - 32 = 48 liters of 50% solution