Answer:
The probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026
Step-by-step explanation:
Mean = 
Population standard deviation =
Sample size = n =25
Sample mean = 
We are supposed to find the probability of observing a sample mean of x = 52 or greater from a sample size of 25 i.e.
Z=5.83
P(Z<52)=0.9999974
Hence the probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026
2. b=-15 4. b=9 5. m=6 b=1 6. m=-4 b=140
You first wanna find <BAD, because if AB is perpendicular to AC, then it has to form a 90 degree angle. So 90-56=34 degrees. So now you have a 34 & 63 degrees in the ABD triangle. In a triangle, all angles add up to equal 180 degrees. So 34+63+x=180...and x=83. So <ADB= 83 degrees. Now you want to find angle ADC...which you can just subtract 83 from 180 (because <ADB & <ADC forms 180 degree angle). You will then get 97 as angle ADC. So, the same thing as before, add up 56+97+x=180, because all angles (in the triangle ADC) add up to be 180 degrees. X will then equal 27 degrees. Angle ACB= 27 degrees.
2 :3 :4 gives 9 shares (2 + 3 + 4)
9 shares = 120cm
1 share = 120/9 cm = 13 1/3 cm ( or 13.333)
2 shares = 26 2/3 cm
3 shares = 40 cm
4 shares = 53 1/3 cm
Answer:
Step-by-step explanation:
We can use the point-slope form given by:
Where <em>m</em> is the slope and (x₁, y₁) is a point.
So, we will substitute -2 for <em>m</em> and (5, 2) for (x₁, y₁). This gives us:
Simplify:
Distribute:
Add 2 to both sides. Hence, our equation is:
