Consider the function f(x) = 5(x - 4) + 9. Determine f(2b).

Kruka [31]

The answer would be L because it is away from the rest ( outlier)

7 0

2 years ago

The water level in ricky lake changes at an average of -7/48 inch for 1 year.Based on the rate above how much will the water lev

bearhunter [10]

we are given

The water level in Ricky lake changes at an average of -7/48 inch for 1 year

It means that

In 1 year , the water level changes at $\frac{-7}{48} inches$

and we have to find the water level change after 5 years

so, we can multiply both sides by 5

In 5*1 year , the water level changes at $5*\frac{-7}{48} inches$

In 5 years , the water level changes at $\frac{-35}{48} inches$

Hence,

the water level change after 5 years is $\frac{-35}{48} inches$ ........Answer

3 0

3 years ago

A consensus forecast is the average of a large number of individual analysts' forecasts. Suppose the individual forecasts for a

zaharov [31]

Answer:

a) $P(X>3.5)=P(\frac{X-\mu}{\sigma}>\frac{3.5-\mu}{\sigma})=P(Z>\frac{3.5-5}{1.2})=P(z>-1.25)$

And we can find this probability using the complement rule:

$P(z>-1.25)=1-P(z$

b) $P(X$

And we can find this probability uing the normal standard table:

$P(z$

c) $P(3.5$

And we can find this probability with this difference:

$P(-1.25$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-1.25$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(5,1.2)$

Where $\mu=5$ and $\sigma=1.2$

We are interested on this probability

$P(X>3.5)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>3.5)=P(\frac{X-\mu}{\sigma}>\frac{3.5-\mu}{\sigma})=P(Z>\frac{3.5-5}{1.2})=P(z>-1.25)$

And we can find this probability using the complement rule:

$P(z>-1.25)=1-P(z$

Part b

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability uing the normal standard table:

$P(z$

Part c

$P(3.5$

And we can find this probability with this difference:

$P(-1.25$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-1.25$

3 0

2 years ago

Jessica was planting flower seeds in a garden. She planted 26.53 square feet of seeds in 7 minutes. At what unit rate did Jessic

Snezhnost [94]

Jessica planted 3.79 square feet of seeds each minute.

if we divide 26.53 by 7 we can get that answer

5 0

2 years ago

What is proportion as applied in mathematics

Mariana [72]

Answer:

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other. Proportions are denoted using the symbol "::" or "=".

5 0

2 years ago