Answer:
Therefore
m Angle 1 = m Angle 2 = 31° ...Justified
Step-by-step explanation:
Given:
m angle 1 = ( 3x + 10 )°
m angle 2 = ( 5x - 4 )°
To Find:
m∠1 = ?
m∠2 = ?
Solution:
Vertical Angles:
The angles opposite each other when two lines cross. They are always equal.
∴ m Angle 1 = m Angle 2
Substituting the given values we get
Substituting ' x ' in Angle 1 and Angle 2 we get
m Angle 1 = 3 × 7 + 10 = 31°
m Angle 2 = 5 × 7 - 4 = 31°
Therefore
m Angle 1 = m Angle 2 = 31° ...Justified
Answer:
Option C) 0.57
Step-by-step explanation:
We are given the following in the question:
Average, 
= 260 calories
Standard deviation, 
= 35 calories
= 240 calories.
We have to find the Cohen's d effective size.
Formula:
Thus, the Cohen's d effective size is 0.57
Thus, the answer is
Option C) 0.57
(a) Average time to get to school
Average time (minutes) = Summation of the two means = mean time to walk to bus stop + mean time for the bust to get to school = 8+20 = 28 minutes
(b) Standard deviation of the whole trip to school
Standard deviation for the whole trip = Sqrt (Summation of variances)
Variance = Standard deviation ^2
Therefore,
Standard deviation for the whole trip = Sqrt (2^2+4^2) = Sqrt (20) = 4.47 minutes
(c) Probability that it will take more than 30 minutes to get to school
P(x>30) = 1-P(x=30)
Z(x=30) = (mean-30)/SD = (28-30)/4.47 ≈ -0.45
Now, P(x=30) = P(Z=-0.45) = 0.3264
Therefore,
P(X>30) = 1-P(X=30) = 1-0.3264 = 0.6736 = 67.36%
With actual average time to walk to the bus stop being 10 minutes;
(d) Average time to get to school
Actual average time to get to school = 10+20 = 30 minutes
(e) Standard deviation to get to school
Actual standard deviation = Previous standard deviation = 4.47 minutes. This is due to the fact that there are no changes with individual standard deviations.
(f) Probability that it will take more than 30 minutes to get to school
Z(x=30) = (mean - 30)/Sd = (30-30)/4.47 = 0/4.47 = 0
From Z table, P(x=30) = 0.5
And therefore, P(x>30) = 1- P(X=30) = 1- P(Z=0.0) = 1-0.5 = 0.5 = 50%
Answer:
Hey. I'm not sure if you have typos, but if you're saying ''Ken can walk 40 dogs in 8 hours, how many dogs can Ken walk in 12 hours", the answer is 60.
Step-by-step explanation:
So, we get our answer by dividing the amount of dogs Ken can walk by the amount of hours. 40/8 = 5. He walks 5 dogs an hour. Now that we know he walks 5 dogs an hour, we can multiply by 5 for each hour. 5 (Dogs/Hour) x 12 (Hours the dogs were walked) = 60, and that is our final answer.
