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3 years ago

What’s the mean,median,mode and range

Mathematics

1 answer:

Komok [63]3 years ago

4 0

Answer:

Mean=2.1

Median=2

Mode=1,2, and 3

Range=5

Step-by-step explanation:

Mean is all the numbers added up and then divided by the amount of numbers there are, so 0+1+0+2+3+1+3+5+4+2=21, and then 21 divided by 10=2.1

Median is lining all the numbers up least to greatest and then finding the middle number, which is 2.

Mode is the number that appears the most, and since 1,2,3 all appeared twice in the data, they are the mode.

Range is the highest number in the data subtracted by the lowest number in the data, so 5-0=0

(hope this helps!)

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Solve 9^x + 4 = 11 for x using the change of base formula log base b of y equals log y over log b.

Sauron [17]

Answer:

If you meant $9^x+4=11$ , then the answer is approximately 0.866.

If you meant $9^{x+4}=11$ , then the answer is approximately -2.909 which looks like what you meant based on the choices.

Step-by-step explanation:

$9^x+4=11$

First step is to get the exponential part by itself. The part that has the variable exponent which is the $9^x$ term.

To do this we need to subtract 4 on both sides:

$9^x=11-4$

Simplify:

$9^x=7$

The equivalent logarithmic form is:

$\log_9(7)=x$

I always say to myself the logarithm is the exponent that is how I know what to put opposite the side containing the log.

Anyways if you don't have options for computing $\log_b(a)$ in your calculator you need to use the change of base formula.

$\frac{\log(7)}{\log(9)}=x$

So $x \approx 0.8856$

I don't see this as a choice so maybe you actually meant the following equation:

$9^{x+4}=11$

Let's see if this is the correct interpretation.

So the exponential part is already isolated.

So we just need to put in the equivalent logarithmic form:

$\log_9(11)=x+4$

Now we subtract 4 on both sides:

$\log_9(11)-4=x$

Again if you don't have the option for computing $\log_b(a)$ in your calculator, you will have to use the change of base formula:

$\frac{\log(11)}{\log(9)}-4=x$

$x \approx -2.909$

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