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marysya [2.9K]
3 years ago
14

Suppose logbx = logcx, where b ≠ c. Then the value of x can be

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

Not A: We can't have x=0 because \log0 is undefined for a logarithm of any base.

B is true: \log1=0 for any base.

Not C: If x=b^c, then \log_bb^c=c, but \log_cb^c=c\log_bc which only reduces to c if \log_bc=1. This can only happen if b=c, however, but we've assumed otherwise.

Not D: The reasoning for C not being correct is enough to rule out this possibility.

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Suppose that the mean score on a creativity test is 16 and the standard deviation is 4. You are told that the distribution is no
Savatey [412]

Answer:

P(12

And we can find this probability on this way:

P(-1

We expect around 68.27% between the two scores provided.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(16,4)  

Where \mu=16 and \sigma=4

We are interested on this probability

P(12

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

P(12

And we can find this probability on this way:

P(-1

We expect around 68.27% between the two scores provided.

5 0
3 years ago
Malia uses 1/2 of a cup of vinegar in her salad
slega [8]

Answer:

one cup and half which is 1.5 or 3/2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Joseph owns a hot dog stand and sells specialized hot dogs. He charges $1.50 for a plain hot dog and then an additional $0.50 fo
Lilit [14]

Hot Dog Stand

Let

C--------> total cost of the hot dog

x-------> is the number of toppings

we know that

C=0.5x+1.5

where

The slope of the linear equation is equal to 0.5\frac{\$}{topping}

The y-coordinate of the y-intercept of the linear function is equal to \$1.5

That means -------> This is the cost of the hot dog without topping  

Hamburgers Stand

Let

C--------> total cost of the hamburger

x-------> is the number of toppings

we know that

C=0.25x+2.50

where

The slope of the linear equation is equal to 0.25\frac{\$}{topping}

The y-coordinate of the y-intercept of the linear function is equal to \$2.5

That means -------> This is the cost of the hamburger without topping

therefore

<u>the answer is</u>

The linear equation of the hamburger cost is equal to

C=0.25x+2.50


4 0
3 years ago
Read 2 more answers
Help! Help! Help! Help!
alexgriva [62]
A. C(n)=10n+125

cost×number of buttons is equal to 10 cents times the number of buttons, plus the $125 cost of the button machine
6 0
3 years ago
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
Alina [70]
It is 245m thank me later
4 0
3 years ago
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