Answer:
188
Step-by-step explanation:
<u>Step 1: Distribute</u>
62 − 7(8 + 6 − 32)
62 + (-7 * 8) + (-7 * 6) + (-7 * -32)
62 + (-56) + (-42) + (224)
<u>Step 2: Combine the first two numbers</u>
(62 - 56) - 42 + 224
6 - 42 + 224
<u>Step 3: Combine the next two number</u>
(6 - 42) + 224
-36 + 224
<u>Step 4: Combine the last two number</u>
-36 + 224
188
Answer: 188
Answer:
P(A and B) = P(AnB)
Step-by-step explanation:
![P( \frac{A}{B} ) = \frac{P(AnB)}{P(B)} \\from \: bayes \: theorem \\ P(AnB) = P(B) \times P( \frac{A}{B}) \\ = 0.45 \times 0.7 \\ = 0.315](https://tex.z-dn.net/?f=P%28%20%5Cfrac%7BA%7D%7BB%7D%20%29%20%3D%20%20%5Cfrac%7BP%28AnB%29%7D%7BP%28B%29%7D%20%20%5C%5Cfrom%20%5C%3A%20bayes%20%5C%3A%20theorem%20%5C%5C%20%20P%28AnB%29%20%3D%20P%28B%29%20%5Ctimes%20P%28%20%5Cfrac%7BA%7D%7BB%7D%29%20%5C%5C%20%20%3D%200.45%20%5Ctimes%200.7%20%5C%5C%20%20%3D%200.315)
Assuming the man works 8 hours straight without breaks:
25% is the same as 1/4 of something.
So, we just have to figure out what 1/4 (one quarter) of 8 equals.
You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.
If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.
Now, 25% (one quarter) of the pizza will equal half of what is left:
If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).
That's it! 25% of 8 hours = 2 hours.
***So, the patrolman spends 2 hours each day completing paperwork.***
Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).
So
25% + 25% + 25% + 25% = 100%
If 100% of the mans shift = 8 hours:
2+2+2+2 = 8
It checks out!
Hope this helps!
What is the rest of the problem? I can help you!
The corcumference C of a circle is C= 2 x pie x radius
So radius= C/(2pie)
Volume of cylinder= pie x r(squared) x h