6 to 1
24:4 is simplified to
12:2
then 12:2 is simplified to 6:1, which is your final answer
The value of x is 67°
<u>Step-by-step explanation:</u>
Given that
PN=LN
NP||MQ
QL bisects <PQM
therefore <PQL=<LQM
NP||MQ and NM is a transversal
<PNL+<LMQ=180°(angles on the same side of the transversal are supplementary)
<PNL+54=180°
<PNL=180-54=126°
Consider ΔPNL
since PN=NL,the triangle is isocelus
<NPL=<NLP=a
<NPL+<NLP+<PNL=180°
a+a+126=180°
2a+126=180
2a=180-126
=54°
a=54/2=27°
consider the point L
<NLP+<PLQ+<MLQ=180°
27+70+<MLQ=180
<MLQ=180-97=83°
consider ΔLQM
<LQM+<LMQ+LMQ=180
<LQM+83+54=180
<LQM=180-(83+54)=180-137=43°
<PQL=43°(since<PQL=<LQM)
considerΔPQL
x+70+<PQL=180°
x+70+43=180°
x+113=180
x=180-113
=67°
The value of x is 67°
Answer:
The coefficient of correlation=0.5
Step-by-step explanation:
We are given that
Covariance between the variable x and y=18
Variance of x=16
Variance of y=81
We have to find the coefficient of correlation
We know that
Coefficient of correlation
Using the formula
Hence, the coefficient of correlation=0.5
Tail length = k (body length)
T= k (b)
2.7 = k (3)
2.7/3 = k
0.9 = k
[check result 2.7 = 0.9 (3) = 2.7]
T = 0.9
B. The independent variable is the driving speed, and the dependent variable is the gasoline consumption.
Gasoline consumption will either increase or decrease based on the driving speed of the car.
The weight of the car is not essential in determining the relationship between driving speed and gas consumption.