Astore gets 50% of its items from factory 1, 30% from factory 2, and 20% from factory 3 • 2% of factory 1’s items are defective • 3% of factory 2’s items are defective • 4% of factory 3’s items are defective • if an item from the store is found to be defective, find the probability that it comes from factory • 1 = factory 1, 2 = factory 2, 3 = factory 3 • = defective

$18 was the price of the t-shirt

step-by-step explanation:

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

what

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west