Answer: 97.72%
Step-by-step explanation:
Given : A shoe manufacturer collected data regarding men's shoe sizes and found that the distribution of sizes exactly fits the normal curve.
Let x be the random variable that represents the shoe sizees.
Also, The population mean = 
; Standard deviation: 
Formula for z:-
Put x= 8, we get
Now, the probability that the male shoe sizes are greater than 8 :-
Hence, the percent of male shoe sizes are greater than 8 is 97.72%.
To round to the nearest ten you would look one place to the right from the tens place. if this number is greater than or equal to 5 you round up, if it is less than 5 you round down.
in this case the tens place is a 2, and to the right we have a 6 in the ones place.
6 is greater than 5 so we round up.
626 rounded to the nearest ten is 630
Explanation:
Level 2
Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.
Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.
Level 3
Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.
Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.
Level 4
Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.
Part 2: Two unique expressions are 4√16+3 and 5√8 x 34. √16 is a perfect square, so it can become 4. 4 x 4 is 16 and 16 + 3 = 19. 19 is a rational number. 5√8 is irrational, so right off the bat, you'll know it's an irrational expression.
Answer: Choice C) 
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Work Shown:
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Side notes:
= almost close to 484 million
= close to 93 million
= just a bit under 391 million
You were close! the answer should be 4.
look at your y axis--both lines cross it. f(x) crosses at - 3, g(x) crosses at 1. that's 4 units apart. you're adding 4 to every point on f(x) to get the result at g(x).
