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3 years ago

Which is equivalent to 64 1/4

Mathematics

2 answers:

professor190 [17]3 years ago

7 0

It A i just took the quiz and got it but fail

snow_lady [41]3 years ago

6 0

Answer:

Option (a) is correct.

$(64)^\frac{1}{4}=2\sqrt[4]{4}$

Step-by-step explanation:

Given : Expression $(64)^\frac{1}{4}$

We have to choose an equivalent expression to the given expression $(64)^\frac{1}{4}$

Consider the given expression $(64)^\frac{1}{4}$

64 can be written as 2 × 2 × 2 × 2 × 2× 2 = $2^6$

Thus, The given expression becomes,

$(64)^\frac{1}{4}=(2^6)^\frac{1}{4}$

Also, $2^6=2^4\cdot2^2$

Thus,

$(2^6)^\frac{1}{4}=(2^4\cdot 2^2)^\frac{1}{4}$

Simplify, we have,

$=2\sqrt[4]{4}$

Thus, $(64)^\frac{1}{4}=2\sqrt[4]{4}$

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Two pools are leaking, after 15 minutes pool A has leaked 2/3 gallon, after 20 minutes pool B has leaked 2/3 gallon. Which pool

shepuryov [24]

Answer:

Pool A.

Step-by-step explanation:

This can be solved through ratios. You would write it as $\frac{gallons}{minutes}$ So, $\frac{2/3}{15}$ for the first one, and $\frac{2/3}{20}$ for the second. You might want to use a calculator for that part, but you could also change the gallons to cups, which gives you a much better number of 10.515. So, $\frac{10.515}{15} = 0.701$ , and $\frac{10.515}{20} = 0.52575$ So, pool A is at a faster rate. If you want it in gallons per minute, it's by 0.01 (with the 1 repeating) gallons per minute. By cups, it's 0.17525 cups per minute.

(The reason I did not do this by cross multiplying and dividing ratios is because it gives you the exact same answer if you are finding it per one, as I am here with per one minute. You can do it this way, it just wastes a bit of time.)

6 0

3 years ago

In a city, 35% of the bus riders with a monthly pass are students. in a random sample of 50 bus riders with monthly passes, 23 a

inessss [21]

Answer:

ρ = 35% or 0.35

ρ with ^ = $\frac{23}{50}=0.46$ or equivalently 46%

Step-by-step explanation:

ρ represents the population proportion of the bus riders, with a monthly pass, who are students.

The population proportion is simply the percentage of the entire population with a particular characteristic. We have been informed that in a city, 35% of the bus riders with a monthly pass are students. This means that 35% of the whole population of bus riders with a monthly pass are students. Therefore, our ρ is simply 35% or 0.35.

ρ with ^ represents the sample proportion of the bus riders, with a monthly pass, who are students. This is a statistic or an estimator as it is normally used to estimate the value of ρ, the population proportion. It is calculated using the formula;

ρ with ^ = $\frac{x}{n}$

where n represents the size of the sample and x the number of individuals in the sample with a certain desired characteristic. We have been informed that;

in a random sample of 50 bus riders with monthly passes, 23 are students.

Using the above formula and the values given we have;

ρ with ^ = $\frac{23}{50}=0.46$ or equivalently 46%

3 0

3 years ago

-12×4÷6-4= how much is it

Nat2105 [25]

Answer:

-12

Step-by-step explanation:

Hope this helps :D

8 0