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vesna_86 [32]
2 years ago
11

Evaluate log12y2, given log12y = 16. 4 32 256 65,536

Mathematics
2 answers:
Ann [662]2 years ago
8 0
32 or 256 i didn’t understand exactly what you asked
Nostrana [21]2 years ago
4 0

The value of log₁₂ y² will be : 32

Explanation


log₁₂ y²

According to the property of logarithm, if there is any exponent in the number of log, then we can just take out that exponent part to the front of the log, like: log (a)ᵇ = b × log (a)

Here, the exponent in the number of log is 2. So, according to the above property, we will get: 2 log₁₂ y

Now, the value of log₁₂ y is given as 16. So,

2 log₁₂ y

⇒ 2 (16) = 32



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The time it takes to deliver a pizza (from time of phone call to delivery at door) follows a normal distribution with a mean (µ)
Yuki888 [10]

Answer:

99.87% of the store’s total delivery orders will be delivered to consumers with charge

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 45, \sigma = 5

If a pizza store’s policy is, "Orders delivered within one hour or they’re free!", what percentage of the store’s total delivery orders will be delivered to consumers with charge?

Within one hour, which is 60 minutes. So this is the pvalue of Z when X = 60.

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

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99.87% of the store’s total delivery orders will be delivered to consumers with charge

5 0
2 years ago
Five minivans and three trucks are traveling on a 3.0 mile circular track and complete a full lap in 98.0, 108.0, 113.0, 108.0,
Alex

Answer:

The time-mean speed of the minivans is of 105.8 seconds.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

Five minivans, times of: 98.0, 108.0, 113.0, 108.0, 102.0, in seconds.

Thus, the mean is:

M = \frac{98 + 108 + 113 + 108 + 102}{5} = 105.8

The time-mean speed of the minivans is of 105.8 seconds.

7 0
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