The quotient of a number and 4 is at most 5

A major television manufacturer has determined that its 44 inch screens have a mean service life that can be modeled by a normal

Neko [114]

Answer:

$P(5$

And we can find this probability with thie difference:

$P(-2$

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

$P(-2$

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".

Solution to the problem

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

$X \sim N(6,0.5)$

Where $\mu=6$ and $\sigma=0.5$

We are interested on this probability

$P(5$

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:

$P(5$

And we can find this probability with thie difference:

$P(-2$

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

$P(-2$

5 0

2 years ago

Find the perimeter of following figure. 2 yd ,2yd ,5yd and 4 yd.

Gnesinka [82]

Answer:

13yd

Step-by-step explanation:

Perimeter is all the side lengths added

5 0

2 years ago

...help please I would really appreciate it <br> No links please <br> It’s 10 points

liq [111]

sana ang wala paako sagot ehh sana my sumagot

5 0

3 years ago

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv

kari74 [83]

The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or $2^6 = 64$ miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship $x * 2^6 = k$ , for some constant k.

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

$\dfrac{x}{2^6} = \dfrac{15x}{y^6} \\ (x)(y^6)=(2^6)(15x)$

Cancelling our x's (because we don't need to solve for them), we have

$y^6 = 15(2^6) = 15(64)=960$

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

$\sqrt[6]{y^6} = \sqrt[6]{960}$

Using a calculator, we see that $\sqrt[6]{960} = 3.14 \ miles \ per \ hour$ .

6 0

3 years ago

A pan is heated to 377°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 7

saveliy_v [14]

A graph shows the appropriate choice to be
A. 277.8 °F

_____
Of course, you get the same result by evaluating
76 + 301*e^(-0.40)

3 0

2 years ago