Simplify remove all the perfect squares from inside the square root 45

19. Kara's backpacki contains 4 boxes of pencils. Each box containsp pencils. Kara's backpack also contains 6 pens. Write three

vitfil [10]

Here are 3 equivalent expressions that would represent the total number of pencils and pens in Karen's backpack.

1. 4p + 6

2. p+ p + p + p + 6

3. 6 + 4(p)

Each of these has four groups of p +6 represented.

5 0

3 years ago

An certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the ra

ruslelena [56]

Answer:

$E(X)=16\cdot 0.3+18\cdot 0.1+20\cdot 0.6=18.6$

$E(X^2)=16^2\cdot 0.3+18^2\cdot 0.1+20^2\cdot 0.6=349.2$

$V(X) = E(X^2)-[E(X)]^2=349.2-(18.6)^2=3.24$

The expected price paid by the next customer to buy a freezer is $466

Step-by-step explanation:

From the information given we know the probability mass function (pmf) of random variable X.

$\left|\begin{array}{c|ccc}x&16&18&20\\p(x)&0.3&0.1&0.6\end{array}\right|$

Point a:

The Expected value or the mean value of X with set of possible values D, denoted by E(X) or μ is

$E(X) = $\sum_{x\in D} x\cdot p(x)$

Therefore

$E(X)=16\cdot 0.3+18\cdot 0.1+20\cdot 0.6=18.6$

If the random variable X has a set of possible values D and a probability mass function, then the expected value of any function h(X), denoted by E[h(X)] is computed by

$E[h(X)] = $\sum_{D} h(x)\cdot p(x)$

So $h(X) = X^2$ and

$E[h(X)] = $\sum_{D} h(x)\cdot p(x)\\E[X^2]=$\sum_{D}x^2\cdot p(x)\\ E(X^2)=16^2\cdot 0.3+18^2\cdot 0.1+20^2\cdot 0.6\\E(X^2)=349.2$

The variance of X, denoted by V(X), is

$V(X) = $\sum_{D}E[(X-\mu)^2]=E(X^2)-[E(X)]^2$

Therefore

$V(X) = E(X^2)-[E(X)]^2\\V(X)=349.2-(18.6)^2\\V(X)=3.24$

Point b:

We know that the price of a freezer having capacity X is 60X − 650, to find the expected price paid by the next customer to buy a freezer you need to:

From the rules of expected value this proposition is true:

$E(aX+b)=a\cdot E(x)+b$

We have a = 60, b = -650, and E(X) = 18.6. Therefore

The expected price paid by the next customer is

$60\cdot E(X)-650=60\cdot 18.6-650=466$

4 0

4 years ago

Find the product of x2(4x − 3).

cestrela7 [59]

The answer is 8x^2 - 4x. you find it using the distributive property

5 0

3 years ago

Read 2 more answers

There is a rectangular Prism with a Length of 12, a Width of 20, and a Height of 16. Someone says the Surface Area is 3,840. Are

SOVA2 [1]

Answer:

INCORRECT

Step-by-step explanation:

Given a rectangular prism,

Total Surface Area = 2(LW+LH+WH)

If Length = 12, Width =20, and; Height = 16.

Total Surface Area = 2(12*20+12*16+20*16)

=2(240+192+320)

=2(752)

=1504

The Surface Area is 1504 Square Units, therefore if someone says the surface Area is 3,840, they are incorrect!

7 0

3 years ago

In size every hour for a number of hours, ℎ

Svetlanka [38]

Answer:

it mean they need help

Step-by-step explanation:

sorry don't understand

3 0

3 years ago