Answer:
34 L
Step-by-step explanation:
there are four 100 km(s) in 400 km
so
8.5 * 4 is what you need to do to find your answer
8.5 * 4 = 34
34 L is your answer
Answer:
Above the x-axis
Step-by-step explanation:
Lets assume a polygon that has coordinates at A(3,2), B(3,4),C(6,4),D(6,2).
This polygon is in the 1st quadrant
so rotate it clockwise 90° about the origin, you apply the rule that point of object (h,k) will change to (k,-h) hence
A (3,2) ⇒A'(2,-3)
B (3,4) ⇒ B'(4,-3)
C (6,4) ⇒C' (4,-6)
D (6,2) ⇒D' (2,-6)
the image is in the 4th quadrant
Reflecting the rotated figure on the x-axis we get
A''=(2,3)
B''=(4,3)
C''=(4,6)
D''=(2,6)
it is on the 1st quadrant
The translation is(-3,3)
The image will be
A'''=(-3+2,3+3) = (-1,6)
B'''=(-3+4,3+3)= (1,6)
C'''=(-3+4,6+3)= (1,9)
D'''=(-3+2,6+3)= (-1,9)
the final figure above x-axis
Answer:
y = 1/3
Step-by-step explanation:
<u>Step 1: Factor</u>
9y^2 - 6y + 1 = 0
(3y - 1)(3y - 1) = 0
(3y - 1)^2 = 0
<u>Step 2: Solve for y</u>
3y - 1 + 1 = 0 + 1
3y / 3 = 1 / 3
y = 1/3
Answer: y = 1/3
Answer: 0.7515
Step-by-step explanation:
Binomial probability formula:
, where
n = total number of trials.
p= probability of success in each trial.
x= Number of successes.
Let x be a binomial variable that represents the number of jurors come to just decision.
p= 0.65
n= 10
Required probability= ![P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515](https://tex.z-dn.net/?f=P%28x%3E5%29%3DP%28x%3D6%29%2BP%28x%3D7%29%2BP%28x%3D8%29%2BP%28x%3D9%29%2BP%28x%3D10%29%5C%5C%5C%5C%20%3D%5C%20%5E%7B10%7DC_6%280.65%29%5E6%280.35%29%5E4%2B%20%5E%7B10%7DC_7%280.65%29%5E7%280.35%29%5E3%2B%20%5E%7B10%7DC_8%280.65%29%5E8%280.35%29%5E2%2B%20%5E%7B10%7DC_9%280.65%29%5E9%280.35%29%5E1%2B%5E%7B10%7DC_%7B10%7D%280.65%29%5E%7B10%7D%280.35%29%5E0%5C%5C%5C%5C%3D0.75149550912%5Capprox0.7515)
Hence, the probability more than half come to a just decision = 0.7515