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3 years ago

Devonte used the change of base formula to approximate log Subscript 8 Baseline 25. Which expression did Devonte use?

Mathematics

2 answers:

UNO [17]3 years ago

4 0

Answer:

The answer is D.

Step-by-step explanation:

anyanavicka [17]3 years ago

3 0

Answer:

The last choice: log 25 Over log 8

Step-by-step explanation:

Because the change of base formula says:

log (subscript 8) of 25 = log (25) / log (8)

let log be the Common Log without subscripts

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3 years ago

Read 2 more answers

The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. Wh

Alla [95]

Answer:

2.3%

Step-by-step explanation:

The formula to convert x into z distribution is

$z=\frac{x-\mu}{\sigma}$

Where z is the test statistic

x is what we are looking for (in this case 37)

$\mu$ is the mean (in this case, it is 25)

$\sigma$ is the standard deviation (we have 6)

Plugging these into the formula, we get:

$z=\frac{x-\mu}{\sigma}\\z=\frac{37-25}{6}\\z=2$

Thus we can say we want $P(z\geq 2)$

Note: $P(z\geq a)=1-P(z\leq a)$

The table given is for any z where $P(z\leq a)$

Thus, now we have:

$P(z\geq 2)\\=1-P(z\leq 2)\\=1-0.9772\\=0.0228\\$

0.0228 into percentage is 0.0228 * 100 = 2.28%

Rounded, we get 2.3%

Third answer choice is right.

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3 years ago