9514 1404 393
Answer:
260π in²
Step-by-step explanation:
The slant height is the hypotenuse of a right triangle with legs 10 and 24. Using the Pythagorean theorem, we find it to be ...
l² = 10² +24² = 100 +576 = 676
l = √676 = 26
The given formula tells you the lateral area is ...
A = πrl = π(10 in)(26 in)
A = 260π in² . . . . . cone's lateral area
_____
<em>Additional comment</em>
The name of the constant relating diameter to circumference (π) is "pi". It is the 16th letter of the Greek alphabet. "Pie" is something else entirely.
Chance to draw 7: 4 out of 52
chance to draw 1st queen: 4 out of 51
chance to draw 2nd queen: 3 out of 50
total chance = multiplication of

times

times


pretty miserable change... apox 1 out of 2762, but still much better than any lottery ticket
Answer: 
<u>Switch operations</u>
Before: 
After: 
Before you switch operation you remove the subtraction sign where -(16) is.
The normal distribution curve for the problem is shown below
We need to standardise the value X=405.5 by using the formula


We now need to find the probability of z=0.32 by reading the z-table
Note that z-table would give the reading to the left of z-score, so if your aim is to work out the area to the right of a z-score, then you'd need to do:

from the z-table, the reading

gives 0.6255
hence,

The probability that the mean weight for a sample of 40 trout exceeds 405.5 gram is 0.3475 = 34.75%