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3 years ago

Please help me with this statistics question!!

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

4 0

a statistic question is with multiple answers

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If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

3 years ago

Roger is a florist who uses a triangular-shaped frame to arrange flower bouquets. He received an order to make a new bouquet suc

kvv77 [185]

The locations specified in the order regarding the shape will be B. longest side AC; smallest angle ∠C.

<h3>How to express the information?</h3>

From the information given, in the triangle where A = 59°, B is unknown, and C = 41°. Therefore, the value of B will be:

= 180° - (59° + 41°)

= 180° - 100°

= 80°

Therefore, the locations specified in the order regarding the shape will be longest side AC; smallest angle ∠C.

In conclusion, the correct option is B.

Learn more about shapes on:

brainly.com/question/25965491

#SPJ1

4 0

2 years ago

What is the value of p so the expression 4/5-3n is equivalent to p(4-15n)

Karolina [17]

P=1/5. factor out the p to get 4p-15pn=4/5p-3n and just solve to get p=1/5

6 0

2 years ago

Please help!! I literally have no idea what to do here.

nika2105 [10]

I believe it's it's d
Sorry if I'm wrong I'm mr lemonade

3 0

2 years ago

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Use the geometric mean (altitude) theorem. What is the value of m?

Vilka [71]

Answer:4

Step-by-step explanation:

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2 years ago

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