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2 years ago

If m = -2 and p=3, then (4p-m)/mp is

Mathematics

1 answer:

ddd [48]2 years ago

7 0

Answer:

-2 <em>1/3</em>

Step-by-step explanation:

((4 * 3) - (-2) /(-2*3)

(12 + 2 ) / (-2 * 3)

14 / -6

-2 <em>1/3</em>

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Lois has 36 colored pencils. They are either green or red. For every green pencil, Lois has 3 red pencils. How many red pencils

SashulF [63]

Lois has 9 red pencils because 9x4=36

8 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

3 years ago

G(x)=x^3+5x h(x) =x+3 find (g+h)(x)

exis [7]

$(g+h)(x) = x^3+6x+3$

Step-by-step explanation:

The operations on functions can be performed as they are performed on polynomials

The addition of functions is used in the given question

Given

$g(x)=x^3+5x\\h(x)=x+3$

We have to find:

$(g+h)(x)=g(x)+h(x)\\=x^3+5x+x+3\\=x^3+6x+3$

So,

$(g+h)(x) = x^3+6x+3$

Keywords: Functions, operations on functions

Learn more about functions at:

#LearnwithBrainly

7 0

3 years ago

What is the area of this circle given a radius of 2 in?

Serjik [45]

2
The answer is 12.57 in

4 0

3 years ago

Ralph Chase plans to sell a piece of property for $155000. He

Mrrafil [7]

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let a represent the amount invested at interest of 10% and b represent the amount invested at 8%, hence:

a + b = 155000 (1)

Also:

0.1a + 0.08b = 14100 (2)

From both equations:

a = 85000, b = 70000

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0

2 years ago