List the steps that should be used to solve the equation (f)x=g(x) by graphing when F(x)=(1/2)^x-3 and g(x)=3x+5

Mathematics

1 answer:

Tema [17]3 years ago

6 0

ANSWER

See explanation.

EXPLANATION

Step 1

Graph each of the functions.

$f(x) = ( \frac{1}{2} )^{x - 3}$

and

$g(x) = 3x + 5$

Step 2

Look for the point of intersection of the two graphs.

From the graph, the two functions intersected at

(0.38,6.14)

Read more about slopes at:

brainly.com/question/18576224

6 0

2 years ago

Ayudenme 5fjgfgjzngfjgxj <br> kcnhgbxjhdjtfbgrbftjxbxh

olchik [2.2K]

Ayudenme 5fjgfgjzngfjgxj

kcnhgbxjhdjtfbgrbftjxbxh

6 0

3 years ago

The mean amount purchased by a typical customer at Churchill's Grocery Store is $26.00 with a standard deviation of $6.00. Assum

Vadim26 [7]

Answer:

a) 0.0951

b) 0.8098

c) Between $24.75 and $27.25.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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:

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

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .