All categories

2 years ago

What is the volume of the prisms Pls help me im dying

Mathematics

1 answer:

Yuliya22 [10]2 years ago

5 0

Answer:

C. 3240 cm³

Step-by-step explanation:

Volume formula is:

V = Bh

Find base area first:

B = 6*1/2*12*10 = 360 cm²

Find the volume:

V = 360*9 = 3240 cm³

Correct choice is C

You might be interested in

Find the arc length of AB⌢. Round your answer to the nearest hundredth.

gizmo_the_mogwai [7]

Answer:

3.14 ft

Step-by-step explanation:

The arc AB is the minor arc of the given circle. The length l of the minor arc of a circle is given as

l = Ф°/360° × 2πr

where

Ф is the angle of the arc at the center of the circle

r is the radius of the circle and

π is a mathematical constant equivalent to 22/7

r = 8/2 = 4 ft

Hence

l = 45°/360° × 2 × 22/7 × 4

= 22/7 ft

= 3.14 ft

5 0

3 years ago

5.2.14. For the negative binomial pdf p (k; p, r) = k+r−1 (1 − p)kpr, find the maximum likelihood k estimator for p if r is know

Volgvan

Answer:

$\hat p = \frac{r}{\bar x +r}$

Step-by-step explanation:

A negative binomial random variable "is the number X of repeated trials to produce r successes in a negative binomial experiment. The probability distribution of a negative binomial random variable is called a negative binomial distribution, this distribution is known as the Pascal distribution".

And the probability mass function is given by:

$P(X=x) = (x+r-1 C k)p^r (1-p)^{x}$

Where r represent the number successes after the k failures and p is the probability of a success on any given trial.

Solution to the problem

For this case the likehoof function is given by:

$L(\theta , x_i) = \prod_{i=1}^n f(\theta ,x_i)$

If we replace the mass function we got:

$L(p, x_i) = \prod_{i=1}^n (x_i +r-1 C k) p^r (1-p)^{x_i}$

When we take the derivate of the likehood function we got:

$l(p,x_i) = \sum_{i=1}^n [log (x_i +r-1 C k) + r log(p) + x_i log(1-p)]$

And in order to estimate the likehood estimator for p we need to take the derivate from the last expression and we got:

$\frac{dl(p,x_i)}{dp} = \sum_{i=1}^n \frac{r}{p} -\frac{x_i}{1-p}$

And we can separete the sum and we got:

$\frac{dl(p,x_i)}{dp} = \sum_{i=1}^n \frac{r}{p} -\sum_{i=1}^n \frac{x_i}{1-p}$

Now we need to find the critical point setting equal to zero this derivate and we got:

$\frac{dl(p,x_i)}{dp} = \sum_{i=1}^n \frac{r}{p} -\sum_{i=1}^n \frac{x_i}{1-p}=0$

$\sum_{i=1}^n \frac{r}{p} =\sum_{i=1}^n \frac{x_i}{1-p}$

For the left and right part of the expression we just have this using the properties for a sum and taking in count that p is a fixed value:

$\frac{nr}{p}= \frac{\sum_{i=1}^n x_i}{1-p}$

Now we need to solve the value of $\hat p$ from the last equation like this:

$nr(1-p) = p \sum_{i=1}^n x_i$

$nr -nrp =p \sum_{i=1}^n x_i$

$p \sum_{i=1}^n x_i +nrp = nr$

$p[\sum_{i=1}^n x_i +nr]= nr$

And if we solve for $\hat p$ we got:

$\hat p = \frac{nr}{\sum_{i=1}^n x_i +nr}$

And if we divide numerator and denominator by n we got:

$\hat p = \frac{r}{\bar x +r}$

Since $\bar x = \frac{\sum_{i=1}^n x_i}{n}$

4 0

3 years ago

What is 2+2 then take away 1

laiz [17]

Answer:

Step-by-step explanation:

2 + 2 = 4

4 - 1 = 3

4 0

2 years ago

Read 2 more answers

Which equation represents the graphed function?

Novay_Z [31]

Answer: C is your answer.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Kevin wants buy a subwoofer for his truck. The one he wants cost $370.00. Kevin earns $14.00 for 5 problems, how many problems w

miskamm [114]

Kevin would have to write 133 problems, as 14/5= $2.8 per problem 370/2.8= 132.14 but since he can’t be paid to write .14 of a problem he needs to finish it making the answer 133 problems

4 0

3 years ago