Answer:
The point of intersection
(0,-14,22/5), (2,0,24/5), (-22,-24,0).
Step-by-step explanation:
Check attachment for solution
Answer:
(5.216) mean = 61.71
(5.217) standard deviation = 8.88
(5.218) P(X>=60) = 0.9238
(5.129) L = 79, U = 69
(5.130) P(X> or = U) = 0.7058
Step-by-step explanation:
The table of the statistic is set up as shown in attachment.
(5.216) mean = summation of all X ÷ no of data.
mean = 432/7 = 61.71 birds
(5.217)Standard deviation = √ sum of the absolute value of difference of X from mean ÷ number of data
S = √ /X - mean/ ÷ 7
= √551.428/7
S = 8.88
(5.218) P (X> or = 60)
= P(Z> or =60 - 61.71/8.8 )
= P(Z>or= - 0.192)
= 1 - P(Z< or = 0.192)
= 1- 0.0762
= 0.9238
(5.219)the 15th percentile=15/100 × 7
15th percentile = 1.05
The value is the number in the first position and that is 79,
L= 79
85th percentile = 85/100 × 7 = 5.95
The value is the number in the 6th position, and that is 69
U = 69
5.130) P(X>or = 60)
= P(Z>or= 69 - 61.71/8.8)
= P(Z> or = 0.8208)
= 1 - P(Z< or = 0.8209)
= 1 - 0.2942
= 0.7058
Process:
2/3x -7 = 17
17 + 7 = 24
2/3x = 24
2/3 = 24/x
24 ÷ 2 = 12
12 x 3 = 36
x = 36
Answer: X = 36
The question asks you to find the total amount of rain after each hour, and has given you the ratio of 1.5 cm of rain in an hour. Therefore to find the rest, you’ll need to multiply the number of hours by the amount of rain in an hour:
2hrs - 3 cm
3hrs - 4.5 cm
4hrs - 6 cm
5hrs - 7.5 cm
I hope this helps and that I’m right! Good luck!! :)
Since the two lines are parallel then they have the same slope which = 1/3
since the line passes through (-6 , -8)
y+8 = (1/3)(x+6)
3y + 24 = x + 6
x - 3y = 18 is the equation