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3 years ago

If 2n = 54/9 then n = ______

Mathematics

1 answer:

Fantom [35]3 years ago

8 0

Answer:

1). 3

2). 6

3). 9

Step-by-step explanation:

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Complete the Table

nydimaria [60]

Answer:

N, which is the increment is 4

3 0

2 years ago

Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 mill

abruzzese [7]

Answer:

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year

Step-by-step explanation:

Given that oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.

i.e. if V stands for volume of oil, then

$V' =kV\\dv/V= kdt\\ln V = kt+C\\V = Ae^{kt}$

To find A and k

V(0) = A = 3 million

Hence V = $3e^{kt}$

V(6) = 1.5

i.e. $1.5 = 3e^{6k}\\ln 1.5 =ln 3 +6k\\k = -0.11552$

$V(t) = 3e^{-0.11552t}$

a) Using the above value of k , we have

$V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794$ million per year.

4 0

3 years ago

How do you solve for #23

Bingel [31]

5 is you answer because absolute value is the distance on a number line from 0

8 0

3 years ago

Mopeds (small motorcycles with an engine capacity below 50cm3) are very popular in Europe because of their mobility, ease of ope

d1i1m1o1n [39]

Answer:

a) 96.64% probability that maximum speed is at most 50 km/h

b) 24.67% probability that maximum speed is at least 48 km/h

c) 86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

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:

$\mu = 46.8, \sigma = 1.75$