To<span> find a </span>power of a product, look the power of each factor and then multiply. If you want to multiply two powers with the same exponent but different bases, you use the commutative property of multiplication. Product of powers property shows us that when you multiply powers with the same base you just have to add the exponents. This is raising a <span>power to a power.</span>
Hailey's mixing two different coffee blends. Represent them by x and y (in pounds). Then x + y = 5 lb, and x = 5 - y.How much puree Sum. beans are we talking about here?
0.20x +0.80y = 0.60(5 lb) Mult all 3 terms by 100 to get rid of factions:
20x + 80 y = 300. Substitute 5-y for x:
20(5-y) + 80y = 300 => 100-20y + 80y = 300 => 60y = 200, so y = 20/6 or 10/3 lb den x = 5-10/3, or x =5/3 lb
Use 5/3 lb of the first blend and 10/3 lb of the second blend to come up with 5 lb of a 60% blend.
Answer:
One sample test of proportions
Step-by-step explanation:
Which test is most appropriate to test whether the proportion of skiers is not 0.50?
Since the test says to test whether the proportion of skiers is not 0.50, then here we will be studying just only the promotion of skiers without the comparison with snowboarders.
We have been given an hypothesized promotion and the test says to test against this proportion, so the appropriate test to use here is the one sample test of proportions
Basically, Justin and Tina's paths form two right-angled triangles whose hypotenuses(?) form a straight line between their end points. Therefore we need to find the two distances from the starting point and add them.
Justin walked 3 miles north and 6 miles west so his distance from the start is the square root of 9+36 or 45. This can be simplified to 3√5.
Tina walked 2 miles south and 4 miles east so her distance from the starting point is the square root of 4 + 16 or 20. This can be written as 2√5.
If we add these two distances together we get 5√5. Hence, Justin and Tina are 5√5 miles away from each other.
