Answer:
Reflection: A' (5, 3)
B' (2, 3)
C' (2, 1)
D' (5, 1)
Dialation: A"(10, 6)
B" (4, 6)
C" (4, 2)
D" (10, 2)
Step-by-step explanation:
A(−5,3),B(−2,3),C(−2,1),D(−5,1)
To reflect over the y-axis you change the value of x. In this case all of the values for x are negative. You turn them all into a positive.:
A' (5, 3)
B' (2, 3)
C' (2, 1)
D' (5, 1)
To dialate by a scale factor of 2 you multiple everything by 2 and you should get: A"(10, 6)
B" (4, 6)
C" (4, 2)
D" (10, 2)
Hoep this helps!!
<span>The solution:
= 40, p = q = 0.5
P[x] = nCx *p^x *q^(n-x)
when p = q = 0.5, the formula simplifies to
P[x] = nCx/2^n = 40Cx/2^40
at least 18 of each type means 18 to 22 of (say) type I
P(18 <= X <= 22) = 0.5704095 <-------
qb
mean = 40*0.5 = 20
SD = sqrt(npq) = sqrt(40*0.5*0.5) = 3.1623
z1= (18-20)/3.1623 = -0.63 , z2 = (22-20)/3.1623 = 0.63
P(-0.63 < z < 0.63) = 0.4713 <-------</span>
Answer:
A point estimate for the true population proportion is
and the 90% confidence interval is (0.8025, 0.8575)
Step-by-step explanation:
We have a large sample of people of size n = 506. Let X be the random variable that represents the number of adults who feel that education is one of the top issues facing California. We are interested in the unknown true proportion p of adults who feel that education is one of the top issues facing California. A point estimate for the true population proportion is given by
= X/n = 418/506 = 0.83, the standard deviation is given by
. Therefore, the 90% confidence interval for the true population proportion is
, i.e.,
, i.e.,
, (0.8025, 0.8575).
Answer:
-72
Step-by-step explanation:
-32+(2-6)(10)
-32+(-4)(10)
-32+(-40)
-72
120 / 18 = 20/3
x^3 / xy = x^2 / y
20x^2 / 3y