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jasenka [17]
2 years ago
6

In order to either condense or expand logarithms using their properties, what must be?

Mathematics
2 answers:
jasenka [17]2 years ago
5 0

Answer:

Answer C

Step-by-step explanation:

The rules of logarithmic functions require the two log functions to have the same base. If they do not have the same base, you cannot apply any of the rules.

Nataly_w [17]2 years ago
3 0

Answer:

Last option

Step-by-step explanation:

They need same base inorder to apply any property

Like

  • log_a(bc)=log_a^b+log_a^c
  • log_a(b/c)=log_a^b-log_a^c
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A teacher was interested in knowing the amount of physical activity that his students were engaged in daily. He randomly sampled
klasskru [66]

Answer:

The standard error of the mean is 4.5.

Step-by-step explanation:

As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.

The mean of the sample is:

\bar{x}=\frac{1}n} \sum x_i =\frac{30+40+60+80+20+85}{6}=52.5

The standard deviation of the sample is calculated as:

s=\sqrt{\frac{1}{n-1}\sum (x_i-\bar x)^2} \\\\ s=\sqrt{\frac{1}{5}\cdot ((30-52.5)^2+(40-52.5)^2+(60-52.5)^2+(80-52.5)^2+(20-52.5)^2+(85-52.5)^2}\\\\s=\sqrt{\frac{1}{5} *3587.5}=\sqrt{717.5}=26.8

Then, we can calculate the standard error of the mean as:

\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}=\frac{26.8}{6}= 4.5

6 0
3 years ago
Use the figure to find n please.
ira [324]

Answer:

n = 5

Step-by-step explanation:

Since this is a right triangle, we can use trig

tan theta = opp /adj

tan 30 = n / 5 sqrt(3)

5 sqrt(3) tan 30 = n

5 sqrt(3) * 1/ sqrt(3) = n

5 = n

4 0
3 years ago
Read 2 more answers
Line j passes through points 1,6 and 7,1 line k is parallel to line j. What is the slope of line k?
Mashutka [201]
Slope formula m = (y2-y1) / (x2 - x1)
m = (1 - 6) / 7 - 1)
m = -5 / 6

Slope or parallel lines are the same
Slope = -5/6
6 0
2 years ago
Hey! Can someone help me?
Stella [2.4K]

Answer:

Step-by-step explanation:

there are 4 sixes soo

6^{4}

8 0
3 years ago
Read 2 more answers
What present of 60 is 12?
Nata [24]

Answer:

20%

Step-by-step explanation:

12=p×60/100=6p/10

p=120/6=20%

6 0
3 years ago
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