Answer: 0.05
Step-by-step explanation:
Given : Interval for uniform distribution : [46.0 minutes, 56.0 minutes]
The probability density function will be :-

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

Hence, the probability that a given class period runs between 50.75 and 51.25 minutes = 0.05
Answer:
u can not delete it because u already posted it the only way for it to be deleted is if u are reported for what u post then the moderators see it and make it poof
Step-by-step explanation:
Answer:
<u>Marcelino will have $7.50: his costs are more than his profits. </u>
Step-by-step explanation:
22.50 + 7.50 + 15.00
In total Marcelino spent $45 to make these balloons.
He wants to sell each balloon for $1.25.
If he sells the 30 balloons he bought for $1.25 he will make:
30 * 1.25 = $37.50... okay he made some money, BUT he spent $45 dollars for the items.
45 - 37.50 = $7.50, Marcelino made no profit... he still needs to make $7.50 to pay off his own costs.
Answer:
41.83°
Step-by-step explanation:
It is given that :
The vertical distance of the UFO from the ground = 60,000 feet
The diagonal distance of the landing area to the UFO = 90,000 feet
In order to find the angle of depression, we have to use the trigonometric ratios, i.e.,




∴ 
= 41.83°
Well... Basically, you should prove this by SSS property(side-side-side). It's fair to say that the length of a side is equal to itself so The line that cuts through the rectangle is a side for both rectangles. Thus because of the given, all the sides of the triangles are equal to one another. This is a very important trick for geometry(I remember using it a lot).
Hope this helps!