Answer:
slope = - 4, y- intercept = 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x + 9 is in slope- intercept form
with slope m = - 4 and y- intercept c = 9
A proportional relationship has the form
y = mx
y = - 4x + 9 is not in this form
Hence the relationship is not proportional
Cos(A-B) = cosAcosB + sinAsinB
<span>
cos(</span>π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ
π/2 = 90°
cos(π/2) = cos90° = 0. sin(π/2) = sin90° = 1
cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sin<span>θ
</span>
= 0*cosθ + 1*sin<span>θ = </span>sin<span>θ
Therefore </span>cos(π/2 - θ) = sin<span>θ
QED </span>
There should be 6 per number
ex.
1234
1243
1342
1324
1432
1423
Well the increase is 132/120. Simplify by dividing 12 from the numerator and the denominator, you should get 11/10.
11/10 is also 110%
Answer:
There is a probability of 76% of not selling the package if there are actually three dead batteries in the package.
Step-by-step explanation:
With a 10-units package of batteries with 3 dead batteries, the sampling can be modeled as a binomial random variable with:
- n=4 (the amount of batteries picked for the sample).
- p=3/10=0.3 (the proportion of dead batteries).
- k≥1 (the amount of dead batteries in the sample needed to not sell the package).
The probability of having k dead batteries in the sample is:

Then, the probability of having one or more dead batteries in the sample (k≥1) is:
