Answer:
3) 
4) a) 
b) 
Step-by-step explanation:
<u>Exercise 3</u>
<u>Exercise 4</u>
a) If L2 is parallel to L1, it has the same slope (gradient) ⇒ 
If L2 passes through point (3, 1):
So L2 = L1
b) If L3 is perpendicular to L1, then the slope of L3 is the negative reciprocals of the slope of L1 ⇒ 
If L3 passes through point (-5, 2):
Answer:
38.7
Step-by-step explanation:
A, B and C are the sides of the triangle and sinA, sinB and sinC are the opposing angles
The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%
Option C is the correct answer.
<h3>What is Probability ?</h3>
Probability is defined as the study of likeliness of an event to happen.
It has a range of 0 to 1.
It is given in the question that
The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds.
mean = 3550
standard deviation, = 870
Observed value, X = 4000
Z = (X-mean)/standard deviation = (4000-3550)/870 = 0.517
Probability of weight above 4000 lb
= P(X>4000) = P(z>Z) = P(z> 0.517) = 0.6985
The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%
To know more about Probability
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Answer:
X=-6
Step-by-step explanation:
4(1−x)+3x=−2(x+1)
(4)(1)+(4)(−x)+3x=(−2)(x)+(−2)(1)(Distribute)
4+−4x+3x=−2x+−2
(−4x+3x)+(4)=−2x−2(Combine Like Terms)
−x+4=−2x−2
−x+4=−2x−2
Step 2: Add 2x to both sides.
−x+4+2x=−2x−2+2x
x+4=−2
Step 3: Subtract 4 from both sides.
x+4−4=−2−4
x=−6
Answer:
x=−6
Answer:
N = 18
Step-by-step explanation:
