Write the phrase below as an algebraic expression.<br><br><br> seven less than a number t

frez [133]

Accordinly to the details, i think that A could work.

7 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

HURRY!!!!!!! Which symbol replaces ? to make the statement true? 16÷4+12 ? 4+24÷2 A.< B.= C.>

satela [25.4K]

16 / 4 + 12 ___ 4 + 24/2
4 + 12 ___ 4 + 12
16 __ 16

u need an equal sign because 16 = 16

3 0

3 years ago

Read 2 more answers

Can solids undergo convection

zysi [14]

No because solids can't transmit heat by convection, and convection only works because of hotter and quicker moving molecules have a lower density so they rise to the surface. But in a solid, the molecules can't move relative to each other. They only vibrate :)

5 0

3 years ago

Use Pythagorean theorem!!! Will give b !!

aliina [53]

Answer:

The last one

Step-by-step explanation:

Hey There!

The Pythagorean Theorem states that

the two legs squared added together equal the hypotenuse square

we are given the two legs so to find the missing side we square them, then add them together

$1^2=1\\3^2=9\\9+1=10$

the missing side length equals

$\sqrt{10}$

hope this helps!

4 0

3 years ago

Write the phrase below as an algebraic expression. seven less than a number t