16 is 20% of what? Need answer ASAP

Height of Dutch Men. Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeter

trapecia [35]

Answer:

a) $P(X$

$P(z$

b) $P(X>195) =P(Z>\frac{195-183}{10.5})=P(Z>1.143)$

$P(z>1.143)=1-P(Z$

c) $P(173$

$P(-0.953$

d) $P(\bar X >190)=P(Z>\frac{190-183}{\frac{10.5}{\sqrt{1000}}}=21.08)$

And using a calculator, excel ir the normal standard table we have that:

$P(Z>21.08)=1-P(Z$

So for this case we expect anyone with a heigth higher than 190 cm in a random sample of 1000.

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 heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(183,10.5)$

Where $\mu=183$ and $\sigma=10.5$

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 with the normal standard table or with excel:

$P(z$

Part b

$P(X>195)$

$P(X>195) =P(Z>\frac{195-183}{10.5})=P(Z>1.143)$

And we can find this probability with the normal standard table or with excel: using the complement rule

$P(z>1.143)=1-P(Z$

Part c

$P(173$

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:

$P(173$ And we can find this probability on this way:

$P(-0.953$

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

$P(-0.953$ Part d

Since the distributiion for X is normal then the distribution for the sample mean is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we eant this probability:

$P(\bar X >190)=P(Z>\frac{190-183}{\frac{10.5}{\sqrt{1000}}}=21.08)$

And using a calculator, excel ir the normal standard table we have that:

$P(Z>21.08)=1-P(Z$

So for this case we expect anyone with a heigth higher than 190 cm in a random sample of 1000.

3 0

3 years ago

The area of a triangle is 15x^4+3x^3+4x^2-x-3 square meters. The length of the base of the triangle is 6x^2-2 meters. What is th

MArishka [77]

Answer:

The height of the triangle is: $H = (5x^2 + x +3)$

Step-by-step explanation:

Here, the area the triangle is given as: $15x^4 + 3x^3 + 4x^2 - x - 3$

Also, base of the triangle = $(6x^2 -2)$

Let us assume the height of the triangle = H units

Now, AREA of TRIANGLE = $\frac{1}{2} \times B \times H$

$\implies (15x^4+3x^3+4x^2-x-3 ) = \frac{1}{2} \times ( 6x^2-2) \times H\\\implies H =\frac{ (15x^4+3x^3+4x^2-x-3 )}{(3x^2-1)}$

Solving by LONG DIVISION, we get:

$H = (5x^2 + x +3)$

Hence, the height of the triangle is: $H = (5x^2 + x +3)$

6 0

4 years ago

Multiply and write in standard form. (2x+4) (x2−8x+7)

Naddika [18.5K]

Answer:

${2x}^{3} - {12x}^{2} - 18x + 28$

Step-by-step explanation:

$(2x + 4)( {x}^{2} - 8x + 7) \\ = {2x}^{3} - {16x}^{2} + 14x + {4x}^{2} - 32x + 28 \\ = {2x}^{3} - {12x}^{2} - 18x + 28$

6 0

3 years ago

Read 2 more answers

WILL MARK BRAINLIEST whats 5+3

KIM [24]

Answer:

8

Step-by-step explanation:

If you have 5 apples, and Johnny gives you 3. You have 8 apples.

Hope this helps!

~COurtney

8 0

3 years ago

Read 2 more answers

(image attached) 17.973 L 16.764 L 18.762 L 23.733 L

Gennadij [26K]

Answer:

After 13 minutes have past, there will be a volume of 18.762 L of punch.

Step-by-step explanation:

In this problem, we are asked to find the volume at 13 minutes. We are given this equation...

y = -2.485x + 51.067

We can use this equation to solve our problem. 13 represents our x-value so, we will plug 13 in for x in the equation above.

y = -2.485(13) + 51.067

Multiply -2.485 by 13.

y = -32.305 + 51.067

Now, add the numbers together.

y = 18.762

So, after 13 minutes have past, then the volume of the punch would be 18.762 L.

8 0

3 years ago