$792 for all the lawns together
Answer:
Expected value = 7 x 0.9 = 6.3
Step-by-step explanation:
Probability of getting a good apple is 18/20 = 0.9
Probability of getting a bad apple is 2/20 = 0.1
This follows a binomial distribution because either you get a good apple or a bad apple.
The expected value of a binomial distribution is given as n*p where n is number of trials and p is the probability of success.
In this case our number of trials is 7 and the probability of success is 0.9, since the trials are for getting good apples.
Hence
n = 7
p = 0.9
Expected value = 7 x 0.9 = 6.3
a. To find the least squares regression equation for a group of (x,y) points:
Step 1: For each point(x,y), we need to calculate x² and xy first.
Step 2: Sum all x, y, x² and xy, which gives us Σx, Σy, Σx² and Σxy
Step 3: Calculate Slope m: m = (NΣxy − Σx Σy)/ N(Σx²) − (Σx)² , here N is the number of data.
Step 4: Calculate Intercept b: b = Σy − m(Σx)/ N
Step 5: Assemble the equation as y= mx+b
Here, we have ∑x = 120, ∑y= 1379, ∑x²= 919.5, ∑xy= 10466 and N= 16
So, m= (NΣxy − Σx Σy)/ N(Σx²) − (Σx)²
= 
= 
= 
= 6.33
and b = Σy − m(Σx)/ N
= 
= 
= 
= 38.71
So, the least squares regression equation is : y= mx+b ⇒ y= 6.33x +38.71
b. When x= 8, then y= (6.33×8)+38.71 = 50.64 + 38.71 =89.35
The approximate test score of a student who sleeps an average of 8 h a night is 89.35%
This kind of exercise can be real drudgery. But it's almost all simple arithmetic, so better you than me. I'll do one of these for you, which will show you how to do the other one.
a). sin · cot / sec
You're supposed to know that [ cotangent = cosine/sine ]
and [ secant = 1/cosine ].
Then the problem becomes
sin · (cos/sin) / (1/cos) = cos²
Aw shucks, I might as well also set up 'b)' for you:
b). cos · csc / tan
You're supposed to know that [ cosecant = 1/sine ]
and [ tangent = sine/cosine ].
Then the problem becomes
cos · (1/sin) / (sin/cos) = (cos/sin)²
Now simply plug in the given values of cos A and sin A .
And may I compliment you on your nail care !
Step-by-step explanation:
The option is C
= 1/ 2^20 • z^15
Hope it will help :)
