D-does not cross the X axis. It ends at 6 above the X axis
Answer:
117 yards
Step-by-step explanation:
From the diagram here, we can see that we are to calculate the diagonal of the rectangular football field
we can calculate this by the use of Pythagoras’ theorem which posits that the square of the hypotenuse = the sum of the squares of the two other sides
From the diagram, the diagonal is the hypotenuse while the other two sides complete the right triangle
let’s say the diagonal is length d
Mathematically;
d^2 = 100^2 + 60^2
d^2 = 10,000 + 3,600
d^2 = 13,600
d = √13,600
d = 116.62 yards which is approximately 117 yards
Answer:
answer is y^2-6y+9
Step-by-step explanation:
first take out the value of x from equation 1 which is x=(2-y)
then put the value of x in equation 2 u will get ur answer as y^2-6y+9
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
This is true. In order to get an obtuse triangle, one angle must be greater than 90 degrees because the definition of an obtuse triangle is an angle measuring greater than the right angle. The other angles must be less than 90 degrees because the sum of the angles must be 180 degrees.
