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NeX [460]
3 years ago
8

Is r(l+2h) a formula for a length area or volume

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
4 0
Hello,

In my opinion, 
I would say Volume. 

I hope this helps.
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What is the length of latus rectum for (y + 3)^(2)= 12(x - 1)
Oxana [17]

Answer:

12 units

Step-by-step explanation:

The lactus rectum for a parabola is equal to 4 times the length of the focus from the vertex. Therefore, we need to determine the focus (h+p,k) by using the equation (y-k)^2=4p(x-h) for a vertical parabola.

We can deduce that k=-3, h=1, and p=3. Therefore, the focus of the parabola is (1+3,-3) or (4,-3).

Because the focus is (4,-3), then it is 3 units away from the vertex (4,0), making the length of the latus rectum 3*4=12 units.

3 0
2 years ago
Read 2 more answers
Find the following measure for this figure.
Svetllana [295]

Answer: first option.

Step-by-step explanation:

The formula you must use to calculate the volume of the figure shown is the following:

V=\frac{BH}{3}

Where B is the area of the base and  H is the height.

Assuming that the base of the pyramid is a square, you have that B is:

B=(10units)^2=100units^2

Substitute values into the formula, Then you obtain:

 V=\frac{(100units^2)(12units)}{3}=400units^3

6 0
3 years ago
Read 2 more answers
Find the values of x and y that satisfies the equation. <br><br> 5x + 3i = 15 + yi
Anestetic [448]

Answer:

So the value of x=3  and y =3

Step-by-step explanation:

5x + 3i = 15 + yi

To find out x   , set the constant terms  equal to each other and solve for x

5x= 15

Divide by 5 on both sides

x= 3

To find out y   , set the ';i' terms  equal to each other and solve for y

3= y

So the value of x=3  and y =3

6 0
3 years ago
Read 2 more answers
Let f(x)=3/4x^2 −1.
Dmitry [639]

f(x)=3/4x^2 −1.

A vertical stretch by a factor of 8 you multiply the number with x by the factor:

3/4 x 8 = 6

g(x) = 6x^2-1

7 0
3 years ago
A random sample of 100 U.S. adults were selected from a population. In the population, the probability of having hypertension is
svp [43]

Answer:

For this case we want to calculate this probability:

P(X\leq 30)

And for this case if we use the normal approximation we can use the z score formula given by:

z = \frac{X -\mu}{\sigma}

And using this formula with the correction factor of continuity we got:

P(X\leq 30) =P(X

And using the normal standard table or excel we got:

P(Z \leq 1.522)= 0.936

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest "number of people with hypertension", on this case we now that:

X \sim Binom(n=100, p=0.24)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

We need to check the conditions in order to use the normal approximation.

np=100*0.24=24 \geq 10

n(1-p)=100*(1-0.24)=76 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=100*0.24=24

\sigma=\sqrt{np(1-p)}=\sqrt{100*0.24(1-0.24)}=4.27

Solution to the problem

For this case we want to calculate this probability:

P(X\leq 30)

And for this case if we use the normal approximation we can use the z score formula given by:

z = \frac{X -\mu}{\sigma}

And using this formula with the correction factor of continuity we got:

P(X\leq 30) =P(X

And using the normal standard table or excel we got:

P(Z \leq 1.522)= 0.936

7 0
3 years ago
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