Answer:
x = 35.5
Step-by-step explanation:
cos 65° = 15/x
cos 65° · x = 15
x = 15/cos 65°
x = 35.5
There are 60 inches in 5 feet (5*12=60)
60+4=64
64 inches in 5 feet and 4 inches
1 inch = 2.54 centimeters
64*2.54=162.56
162.56 centimeters in 64 inches/5 feet and 4 inches
<span>B, (~1, 4) Sorry I replied late! I had other people with questions.</span>
Answer:
We use students' t distribution therefore degrees of freedom is v= n-2
Step-by-step explanation:
<u>Confidence Interval Estimate of Population Regression Co efficient β.</u>
To construct the confidence interval for β, the population regression co efficient , we use b, the sample estimate of β. The sampling distribution of b is normally distributed with mean β and a standard deviation σ.y.x / √(x-x`)². That is the variable z = b - β/σ.y.x / √(x-x`)² is a standard normal variable. But σ.y.x is not known so we use S.y.x and also student's t distribution rather than normal distribution.
t= b - β/S.y.x / √(x-x`)² = b - β/Sb [Sb = S.y.x / √(x-x`)²]
with v= n-2 degrees of freedom.
Consequently
P [ - t α/2< b - β/Sb < t α/2] = 1- α
or
P [ b- t α/2 Sb< β < b+ t α/2 Sb] = 1- α
Hence a 100( 1-α) percent confidence for β the population regression coefficient for a particular sample size n <30 is given by
b± t α/2 Sb
Using the same statistic a confidence interval for α can be constructed in the same way for β replacing a with b and Sa with Sb.
a± t α/2 Sa
Using the t statistic we may construct the confidence interval for U.y.x for the given value X0 in the same manner
Y~0 ± t α/2(n-2) SY~
Y~0= a+b X0
Well to solve these type of question it is very easy to make a tree diagram and then solve them. How ever i have done it here for you.
So basically we have to get a pen from the first box so its probability is 7 / 10.
Similarly, we have to get a crayon from the second box so its probability is 2 / 8.
Now by counting principle we can multiply the two probabilities so 7/10 * 1/4 which becomes equal to 7/40.
