Answer:
Perpendicular Slope: 8/5
Parallel Slope: -5/8
Step-by-step explanation:
First, let's rewrite the line into slope intercept form.
-5x - 8y = 3
-8y = 5x + 3
y = -5x/8 + -3/8
Okay, so now we know the slope, -5/8, and the y-intercept, -3/8.
For a line to be perpendicular, the slope needs to be opposite of the given line's slope. This will cause the two lines to cross at a 90-degree angle, and therefore be perpendicular.
So a perpendicular line could be as follows:
y = 8x/5 + -3/8
So the perpendicular slope would be 8/5.
For a line to be parallel, the slope needs to be the same so that the two lines will never cross.
So a parallel line could be as follows:
y = -5x/8 + 1
So the parallel slope would be -5/8.
Cheers.
Hello!
This point would be located in the third quadrant.
Why?
First Quadrant: (2, 2)
Second Quadrant: (-2, 2)
Third Quadrant: (-2, -2)
Fourth Quadrant: (2, -2)
Answer:
a) 0.0523 = 5.23%
b) 0.9477 = 94.77%
c) 0.2242 = 22.42%
d) YES
Step-by-step explanation:
This situation could be modeled with a binomial distribution where
The probability of getting exactly k “successes” in n trials is given by
Where p is the probability of “success”.
In this case we can assume that “success” is the fact that the household interviewed is tuned to Found.
So, p=0.19 and n = 14 (the households interviewed).
a)
The probability that none of the households are tuned to Found is P(X=0)
b)
The probability that at least one household is tuned to Found is
1- P(X=0) = 1-0.0523 = 0.9477 = 94.77%
c)
The probability that at most one household is tuned to Found is P(X=0)+P(X=1)
d)
According to this sample, the probability that more than one household is tuned to Found would be 100%-22.42% = 77.58%, so it does appear that the 19% share value is wrong.
Answer:
13) B
14) A
15) B
16) 77% > 60%
17) 1.3 < 1 = 1.6
18) .8 = 80% > 8%
19) B
20) A
21) A
= 0.4 , 0.42, 50%
Step-by-step explanation:
- cos ( 1/2 x + 1/5 π ) = 0 ( and because if cos α = 0, α= π/2 + k π, k ∈ Z )
1/2 x + π/5 = π/2 + k π, k ∈ Z
1/2 x = π/2 - π/5 + k π / * 2
x = π - 2π/5 + 2 k π
x = 3/5 π + 2 k π = 0.6 π + 2 k π
Answer:
If k = 0: x 1 = 0.6 π = 3π/5
k = 1 : x 2 = 2.6 π = 13π/5