Answer:
k = 5
Step-by-step explanation:

Now comparing left hand side & right hand side ,

Cancelling x^2 & 6 from both left hand side & right hand side ,
kx = 5x
=> k = 5
Step-by-step explanation:
3^2
18^2 in scientific notation
(A)
Vertex:(0,4)
Focus : (0, -7/2)
Axis of symmetry: x = 0
Directrix : y = - 9/2
(B)
Vertex:(-3,-4)
Focus : (-3,-31/8)
Axis of symmetry: x = -3
Directrix: y = - 33/8
3x+2y=9
3x+2(4x-1)=9
11x-2=9
+2 +2
11x=11
X=1
Y=4x-1
Y=4(1)-1
Y=3
Answer:
a) z = 1.16
b) P(x ≥ 2) = 0.8508
c) z = 1.555
Step-by-step explanation:
a) Find z such that 87.7% of the standard normal curve lies to the left of z.
Lies to the left, so it has a pvalue of 0.877. This is z = 1.16
b) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability.
μ = 2.4; σ = 0.35
P(x ≥ 2) =
This is 1 subtracted by the pvalue of Z when X = 2, in which



has a pvalue of 0.1492.
So
P(x ≥ 2) = 1 - 0.1492 = 0.8508.
c) Find z such that 6% of the standard normal curve lies to the right of z.
To the right, so z has a pvalue of 1-0.06 = 0.94%. So z = 1.555.