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3 years ago

Square root of x to the 6th power over y to the 4th power

Mathematics

1 answer:

Murrr4er [49]3 years ago

6 0

√((x^6)/(y^4))

x^6 indicates x to the sixth power, the same goes for y^4.

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To convert a measurement in centimeters to meters, you simply move the decimal point

Arisa [49]

Answer:

there are 100 cm in every meter which means that dividing will convert ot to meters. you can make the conversion quick and easy by simply moving the decimal point in your measurement 2places or place values to left

Step-by-step explanation:

hope it will help you

6 0

3 years ago

Lena is going to cover her entire garden with topsoil. The garden is 36 feet long by 22 feet wide. A bag of topsoil costs $3 and

Lana71 [14]

22x36= ?ft
? divided by 300 if it isn't exact round down to the nearest whole number... after you do that how ever many times 300 went into ? times that by $3 and there's your answer
Hope i helped ;)

3 0

3 years ago

The mean finish time for a yearly amateur auto race was 186.94 minutes with a standard deviation of 0.372 minute. The winning ca

Fed [463]

Answer:

Sam had a finish time with a z-score of -2.93.

Karen had a finish time with a z-score -1.91.

Sam had the more convincing victory.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Sam:

The mean finish time for a yearly amateur auto race was 186.94 minutes with a standard deviation of 0.372 minute. The winning car, driven by Sam, finished in 185.85 minutes.

So $\mu = 186.94, \mu = 0.372, X = 185.85$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{185.85 - 186.94}{0.372}$

$Z = -2.93$

Sam finishing time was 2.93 standard deviations below the mean.

Sam had a finish time with a z-score of -2.93.

Karen:

The previous year's race had a mean finishing time of 110.7 with a standard deviation of 0.115 minute. The winning car that year, driven by Karen, finished in 110.48 minutes.

So $\mu = 110.7, \sigma = 0.115, X = 110.48$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{110.48 - 110.7}{0.115}$

$Z = -1.91$

Karen finishing time was 1.91 standard deviations below the mean.

Karen had a finish time with a z-score -1.91.

Who had the more convincing victory?

Sam finishing time was 2.93 standard deviations below the mean.

Karen finishing time was 1.91 standard deviations below the mean.

Sam finished more standard deviations below the mean than Karen, that is, he was faster relative to his competition than Karen.

So Sam had the more convincing victory.

8 0

3 years ago

Find a number less than 100 that is increased by one-fifth of its value when its digits are reversed.

zhannawk [14.2K]

Lets say the number is ab. Its value is 10a + b

When it is reversed it is 10b + a = 12a+1.2b (from the condition its value should increase 0.2 times).

11 a = 8.8b

a/b = 8.8/11 = 0.8/1 = 8/10 = 4/5 ( we do this because a and b should be natural numbers less than 10).

answer is 45.

7 0

3 years ago

Three consecutive composite numbers

Ad libitum [116K]

Answer:

14,15,16

Consecutive number are numbers who's difference is 1.

Composite numbers are those numbers which are not prime.Hence thre consecutive composite numbers are 14,15,16..

8 0

3 years ago