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Mekhanik [1.2K]
3 years ago
15

If numbers 1,2,3,4,5 are to be used in a five number code, how many different codes are possible if repetitions are not permitte

d
Mathematics
1 answer:
Alex73 [517]3 years ago
4 0
5x4x3x2x1=120 different codes possible
☺☺☺☺
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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
What is the equation of the midline for the function f(x)? f(x)=1/2 cos(x)+5
ivolga24 [154]

Answer:

y = 5

Step-by-step explanation:

That "+5" elevates the graph of this cosine function 5 units above the x axis, and thus the "midline" you wanted is  y = 5.

6 0
3 years ago
What can you predict regarding the probability of the
natka813 [3]

Answer:

The frequency does not change with more trials

Step-by-step explanation:

To predict: the probability of the coin landing heads up

Solution:

Probability refers to the chances that an event will occur in an experiment. The value of probability lies between 0 and 1. 0 indicates impossible event and 1 indicates a sure event. The probability of an event can not be greater than 1.

When a coin is tossed, there are two possible outcomes: heads (H), tails (T).

In case of the probability of the coin landing heads up, the frequency does not change with more trials.

6 0
3 years ago
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Using the diagram below, translate the figure 3 units to the left and 2 units up. Graph the translated figure and provide the tr
aleksandrvk [35]
Bah ahaha because i’m trying to get answers to m
8 0
3 years ago
Six friends, four boys and two girls, went to a movie theater. They wanted to sit in a way so no girl sits on either first or la
mel-nik [20]

Answer:

120 ways

Step-by-step explanation:

Since no girl wil sit either first or last

Hence, in all irrespective whether boy or girl = (6 - 1)! = 5! = 5 X 4 X 3 X 2 = 120

∴ Number of arrangements = 120 ways

8 0
3 years ago
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