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Digiron [165]
3 years ago
5

Need help with powers of powers!!!

Mathematics
1 answer:
icang [17]3 years ago
8 0
\bf 81h^8k^6\quad 
\begin{cases}
81=9^{1\cdot 2}\\
h^8=h^{2\cdot 4}\\
k^6=k^{3\cdot 2}
\end{cases}\implies 9^{1\cdot \stackrel{\downarrow }{2}}h^{\stackrel{\downarrow }{2}\cdot 4}k^{3\cdot \stackrel{\downarrow }{2}}\implies (9^1h^4k^3)^{\stackrel{\downarrow }{2}}
\\\\\\
(9h^4k^3)^2
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Which expression is equivalent to (73)−2?
Nookie1986 [14]

i think the answer is the first one

6 0
4 years ago
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An experiment consists of rolling a number cube (dice). What is the probability of rolling a number GREATER THAN 4? Express your
MrMuchimi

Answer:

1/3

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur

Probability = Expected/Total outcome

Since the experiment requires rolling a dice

S = {1, 2, 3, 4, 5, 6}

Total outcome n(S) = 6

Number greater than 4 are;

Events E = {5,6}

Expected outcome n(E) = 2

Probability of rolling a number greater then 4 = 2/6

Probability of rolling a number greater then 4 = 1/3

8 0
3 years ago
the weight of a bucket is 33/2 kg. if 1/4 of the bucket contains water weighing 21/4 kg , determine the weight of empty bucket
Sauron [17]

Answer:

15.733kg

Step-by-step explanation:

33.2 - 21.4 = 11.8

3/4 of the bucket empty is 11.8kg.

11.8 divided by 3 is 3.933. 3.933 x 4 is 15.733

7 0
3 years ago
Ronnie wants to buya computer table that measures 10 feet by 17 feet.The cost of the table is $16 per square foot.How much will
Lady bird [3.3K]
Find how many square feet it is
assumng the table is a rectangle
area=legnth times width
area=10 times 17=170

16 per 1 square foot
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8 0
3 years ago
Birth weights at a local hospital have a Normal distribution with a mean of 110 oz and a standard deviation of 15 oz. The propor
OLga [1]

Answer:

The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 110, \sigma = 0.15

The proportion of infants with birth weights between 125 oz and 140 oz is

This is the pvalue of Z when X = 140 subtracted by the pvalue of Z when X = 125. So

X = 140

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

Z = \frac{140 - 110}{15}

Z = 2

Z = 2 has a pvalue of 0.9772

X = 125

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

Z = \frac{125 - 110}{15}

Z = 1

Z = 1 has a pvalue of 0.8413

0.9772 - 0.8413 = 0.1359

The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.

4 0
3 years ago
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