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ivann1987 [24]
3 years ago
11

Prove that 1÷loga ab + 1÷logb ab=1​

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

1 ÷ loga ab + 1 ÷ logb ab

=  1 / (loga ab)  +   1 /  (loga ab / loga b)    { change of log base)

= 1 / (loga ab) +  loga b / (loga ab)

=  (1 + loga b) / loga ab

=  (1 + loga b) / (loga a + loga b)    Now loga a = 1 so we have:

((1 + loga b) / (1 + loga b)

= 1.

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The National Assessment of Educational Progress (NAEP) gave a test of basic arithmetic and the ability to apply it in everyday l
mylen [45]

Answer:

a) 2.0702

b) 2.07

Step-by-step explanation:

Given:

Sample, n = 840

standard deviation, σ = 60

a) The standard deviation of the sampling distribution, will be:

= \frac{\sigma}{\sqrt{n}}

= \frac{60}{\sqrt{840}}

= 2.0702

Standard deviation of the sampling distribution is 2.0702

b) According to the 68 part of the 68-95-99.7 rule, 68% of all values of x fall within 1 standard deviation on either side of the unknown mean μ.

Therefore, missing number will be:

1 * [\frac{\sigma}{\sqrt{n}}]

= 1 * 2.0702

= 2.0702 ≈ 2.07

6 0
3 years ago
[Question Deleted 5/15/2021]
pav-90 [236]

[Question Deleted 6/15/2021]

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7 0
3 years ago
thirteen of 50 states in the united states do not touch the ocean. write 13/50 as a decimal and percent
SOVA2 [1]
To find decimal, divide 13/50= 0.26

To find percent divide decimal above by 100 (or move decimal place to the right two places).

0.26/100= 26%

Hope this helps! :)
8 0
3 years ago
66 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be
Dmitrij [34]

Answer:

274560

Step-by-step explanation:

We can "choose" one of the 66 athletes for the gold medal. That athlete can't win any other medals, so there are 65 athletes left.

We can then "choose" one of the 65 athletes left for the silver medal. That athlete can't win any other medals, so there are 64 athletes left.

We can then "choose" one of the 64 athletes left for the bronze medal.

That leaves us with 66 possible choices * 65 possible choices * 64 possible choices=274560 possible choices

8 0
2 years ago
Is 400 pt greater than 100 gal
Rufina [12.5K]

Answer:

no.400pts is equal to 50 gallons.1pt equals 0.125 gallons 400 pints x0.125 gallons equals 50 gallons,so that statement is false

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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