Parallel lines share the same slope. y=3x+7 has a slope of 3, so that is the slope of the parallel line. Then use y=mx+b an plug in (2,4).
y=3x+b
4=3(2)+b
4=6+b
b=-2
So the equation is y=3x-2
Standard deviation = 3.3
The data point = 178
The mean = 184.7
<h2>Further Explanation</h2>
To calculate the Z-score of a bag containing 178 peanuts, we should use the formula to calculating a z-score.
The formula for calculating a Z-score is as follows

This also implies


therefore, the correct answer is -2.03
A z-score determine the number of standard deviation from the mean a data point is.
some important factors about z-score include:
- if it is a positive z-score, it indicates the data point is above average
- if it is a negative Z-score, it indicates the data point is below average
- if the z-score is close to 0, it then means the data point is close to average
- if the z-score is above 3 or below -3, it is considered to be unusual
Learn More about Z-score at:
brainly.com/question/12876715
#learnwithbrainly
Answer:
No
Step-by-step explanation:
To be equivalent it would have to be 16/8 not 16/9
Answer:
distance TS ≈ 19 m (nearest meter)
Step-by-step explanation:
The point T is on the horizontal ground and the angle of elevation of the top R of a tower is 63° and the height of the tower is 38 m high. The illustration forms a right angle triangle. The height RS of the tower is the opposite side of the triangle formed. The hypotenuse side of the triangle is the point from the ground T to the top of the tower R. The adjacent side of the triangle is the side TS.
using tangential ratio
tan 63° = opposite/adjacent
tan 63° = 38/adjacent
cross multiply
adjacent tan 63° = 38
divide both sides by tan 63°
adjacent side = 38/tan 63°
adjacent side = 38/1.96261050551
adjacent side = 19.3619670807
distance TS ≈ 19 m (nearest meter)