Answer:
3. It is likely.
Step-by-step explanation:
Let's assume the dartboards circles have radius of r, 2r, 3r and 4r from inner side
<u>Then the areas covered will be as:</u>
- point 20 = πr² = S
- point 15 = π(2r)² - πr² = 3πr² = 3S
- point 1 0 = π(3r)² - π(2r)² = 5πr² = 5S
- point 5 = π(4r)² - π(3r)² = 7πr² = 7S
Total area of the dartboard is S+3S+5S+7S = 16S
The area of point 5 is 7S. And the area of non- 5 point is 16S - 7S = 9S
The probability of scoring at least 10 points is:
As it is between 1/2 and 1, the probability is in 'likely' region
<u>So the correct answer choice is:</u> 3. It is likely
Answer: 15,000
Step-by-step explanation:
When you subtract 75,000-60,000, you will get 15,000 and 15,000 is the Variance.
Hope this helps! Thanks for asking.
The first thief takes (1/2 x + 1) . What remains ? x - (1/2x + 1)
So the 2nd thief takes 2/3 of [ x - (1/2x + 1) ]
What remains ? x - 2/3 [ x - (1/2x + 1) ]
So the 3rd thief takes 2/3 of { x - 2/3 [ x - (1/2x + 1) ] } and he takes 1 more .
What remains ? x - ( 2/3 { x - 2/3 [ x - (1/2x + 1) ] } + 1 )
And that whole ugly thing is equal to ' 1 ', so you can solve it for 'x'..
The whole problem from here on is an exercise in simplifying
an expression with a bunch of 'nested' parentheses in it.
===============================================
This is a lot harder than just solving the problem with logic and
waving your hands in the air. Here's how you would do that:
Start from the end and work backwards:
-- One diamond is left.
-- Before the 3rd thief took 1 more, there were 2.
-- That was 1/3 of what was there before the 3rd man took 2/3.
So he found 6 when he arrived.
-- 6 was 1/3 of what was there before the second thief helped himself.
So there were 18 when the 2nd man arrived.
-- 18 was 1 less than what was there before the first thief took 1 extra.
So he took his 1 extra from 19.
-- 19 was the remaining after the first man took 1/2 of all on the table.
So there were 38 on the table when he arrived.
Thank you for your generous 5 points.
Answer:
5/6
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
Answer:
Y=-4x-5
Step-by-step explanation:
-21=-4(4)+b
-21=-16+b
b=-5
y=-4x-5
