If j and k are parallel lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and
D?
A. Exactly one
B. None
C. We can't determine from the given information.
D. Infinitely many
A. Exactly one
B. None
C. We can't determine from the given information.
D. Infinitely many
1 answer:
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Answer:
Option b is correct (8,13).
Step-by-step explanation:
7x - 4y = 4
10x - 6y =2
it can be represented in matrix form as
A=
X=
B=
i.e, AX=B
or X= A⁻¹ B
A⁻¹ = 1/|A| * Adj A
determinant of A = |A|= (7*-6) - (-4*10)
= (-42)-(-40)
= (-42) + 40 = -2
so, |A| = -2
Adj A=
A⁻¹ = / -2
A⁻¹ =
X= A⁻¹ B
X=
X=
X=
X=
x= 8, y= 13
solution set= (8,13).
Option b is correct.
Answer:
Reject H0 since test statistic <-2.492
Step-by-step explanation:
Given that the American Water Works Association reports that the per capita water use in a single-family home is 74 gallons per day.
n = 25
x bar = 69
s= 8.3
std error = s/sqrt n =
H0:
Ha:
(Left tailed test at 5% significance level)
a) Reject H0 if t-2.492
b) Test statistic = mean difference/std error
=
=-3.01
df =24
c) Reject H0