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2 years ago

The base change property can help in what type of scenarios? HELP ME!!!!!

Mathematics

1 answer:

Mekhanik [1.2K]2 years ago

6 0

<h3>Base Change Property</h3><h3 />

The Base Change Property is very helpful in scenarios related to simplifying equations where the logarithmic terms have a varying base.

So to solve an equation, which possesses logarithmic functions, all logarithmic terms must have a similar base.

<h3>What is Base Change Property?</h3><h3 />

This refers to the base formula which is used to write a logarithm of a number with a base that is fixed as the ratio of two logarithms both having the same base but different from the base of the initial or original logarithm.

Change of Base Formula is given as:

$log_{b} a = \frac{Log_{c} a }{Log_{c} b}$

See the link below for more about Base Change Property:

brainly.com/question/15318682

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A normal population has a mean of 19 and a standard deviation of 5.

dangina [55]

Answer:

a) $Z = 1.2$

b) 38.49% of the population is between 19 and 25.

c) 34.46% of the population is less than 17.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. If we need to find the probability that the measure is larger than X, it is 1 subtracted by this pvalue.

For this problem, we have that

A normal population has a mean of 19 and a standard deviation of 5, so $\mu = 19, \sigma = 5$ .

(a) Compute the z value associated with 25

This is Z when $X = 25$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{25 - 19}{5}$

$Z = 1.2$

(b) What proportion of the population is between 19 and 25?

This is the pvalue of Z when $X = 25$ subtracted by the pvalue of Z when $X = 19$ .

X = 25 has $Z = 1.2$ , that has a pvalue of 0.8849.

X = 19 has $Z = 0$ , that has a pvalue of 0.5000.

So 0.8849-0.500 = 0.3849 = 38.49% of the population is between 19 and 25.

(c) What proportion of the population is less than 17?

This is the pvalue of Z when $X = 17$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{17 - 19}{5}$

$Z = -0.40$

$Z = -0.40$ has a pvalue of 0.3446.

This means that 34.46% of the population is less than 17.

7 0

2 years ago

Plz help me .. I am really stumped!!!!!!! part of the set for a play is a big triangular piece of plywood. the area of the trian

saul85 [17]

The way to find the area of a triangle is A= $\frac{B*H}{2}$
if the base is 3 feet longer then the height we can write it like this B=H+3

now we can add it to our area equation
20= $\frac{H(H+3)}{2}$
20= $\frac{ h^{2} +3h}{2}$
40= $H^{2}$ +3H
10 $\frac{1}{3}$ = $H^{2}$
h=3.2ft

3 0

3 years ago

A group of 5 friends spent a total of $18 on a bottle of juice and a package of dried fruit for each of them. Each juice cost $1

klemol [59]

The answer is $2.35
if u add $1.25 and $2.35 you get $3.60
then u multiply $3.60 by 5 which gives you 18

4 0

3 years ago

Read 2 more answers

What is the equivalent ratio of 1:2

Paraphin [41]

What the answers choices?

6 0