What is the Surface Area and volume of this cylinder?

Solve the inequality. 3+ 4x > 27

gogolik [260]

X = 7. 7 x 4 = 28 and 28 + 3 = 31.

31>27

5 0

2 years ago

Read 2 more answers

What is an equation of the line

kaheart [24]

Answer:

A, y + 3 = 2(x + 2)

Step-by-step explanation:

Point slope form is y -y1 = m(x - x1)

To find the equation for this line, plug in y1, m, and x into the equation.

m = 2

y1 = -3

x1 = -2

y - -3 = 2(x - -2)

Since subtracting a negative changes the sign to a positive, the equation becomes:

y + 3 = 2(x + 2)

This is option A.

3 0

3 years ago

Solve each equation by factoring 4) 4n? +n - 16=-2

Novosadov [1.4K]

Answer:

n=14/5

Step-by-step explanation:

4n+n-16=-2

We move all terms to the left:

4n+n-16-(-2)=0

We add all the numbers together, and all the variables

5n-14=0

We move all terms containing n to the left, all other terms to the right

5n=14

n=14/5

4 0

2 years ago

The article "Monte Carlo Simulation—Tool for Better Understanding of LRFD" (J. Structural Engr., 1993: 1586–1599) suggests that

Sedaia [141]

Answer:

a) $P(X$

And we can find this probability using the normal standard distribution or excel and we got:

$P(z$

b) $P(X>40)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-43}{4.5})=P(z>3.78)$

And we can find this probability using the complement rule and normal standard distribution or excel and we got:

$P(z>3.78)=1-P(Z$

c) $z=0.674$

And if we solve for a we got

$a=43 +0.674*4.5=46.033$

So the value of height that separates the bottom 75% of data from the top 25% is 46.033.

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:

$X \sim N(43,4.5)$

Where $\mu=43$ and $\sigma=4.5$

Part a

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 using the normal standard distribution or excel and we got:

$P(z$

Part b

$P(X>40)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-43}{4.5})=P(z>3.78)$

And we can find this probability using the complement rule and normal standard distribution or excel and we got:

$P(z>3.78)=1-P(Z$

Part c

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

$P(X$