Answer:
Ok so I know the angle is acute
Step-by-step explanation:
because the angle looks smaller than a 90 degree angle...
Answer:
.
Step-by-step explanation:
Use the form below
Where
is a slope
and 
are the point of the line
.
So, the slope is
.
.
Happy to help:)
Answer:
Because we don't know the exact shape of the population distribution since they are not Normally distributed and they are also not very non-Normal
Step-by-step explanation:
We are given;
Population standard deviation;μ = 200
Population standard deviation; σ = 35
Sample size; n = 30
We are told that the weights are not Normally distributed and they are also not very non-Normal. Therefore it means we don't know the exact shape of the population distribution and as such we can't calculate the probability that a randomly selected passenger weighs more than 200 pounds.
Volume of the box= <span>56 cubic inches
let x is the length, then
width =</span><span>2 inches shorter than its length = x - 2
</span>height = <span>3 inches taller than its length = x+3
Volume = length x width x height
56 = x x (x-2) x (x+3)
56 = (x</span>² -2x)(x+3)
56 = x³ +3x² -2x² - 6x
56 = x³ + x² -6x
x³+x²-6x-56 = 0
using the rational root theorem and factoring the polynomial;
(x-4)(x² +5x +14) = 0
from here;
x-4 = 0
x = 4
So, length = 4 inches
width = x - 2 = 4 -2 = 2 inches
length = x + 3 = 4 + 3 = 7 inches
volume = l x w x h = 4 x 2 x 7 = 56
We are given y = kxz
We also know 32 = k×6×8, so k = 32/48 = 2/3.
We are then asked to solve:
