Answer: b=101 c=79 d=101
Step-by-step explanation:
since it is a parallelogram opposite angels are congruent a = c ad b=d
because we know a=79 c must equal 79
and because all the angles must add up to 360 add 79+79 = 158
then subtract from 360- 158= 202 then divide by 2 and this will give us the value for b and d b,d=101
Answer:
235 x 112 = 26320
.
Step-by-step explanation:
Jackson Bella distance x
Jackson Mandy 112x
If it was twice as far you would double. But now itw 112 times as far. So multiply by 112.
Answer:
1 /4
Step-by-step explanation:
Given that :
Number of red = 7
Number of Blue = 7
Number of green = 14
Total number of balls = 28
Probability of picking a ball that is neither red nor green.
Probability = required outcome / Total possible outcomes
P(neither red nor green) = P(picking a blue ball) = 7 / 28 = 1/4
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
recall that to find the x-intercept we set y = 0 and solve for "x".
and to find the y-intercept, we set x = 0 and solve for "y", so let's do so
x = 0, so then the equation turns into
y = 3x² + 5x - 2
y = 3(0)² + 5(0) - 2
y = -2
when x = 0, y = -2, ( 0 , -2 ).