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Expand & simplify 5 ( p + 5 ) + 6 ( p + 6 )

Aloiza [94]

5(p+5) + 6(p+6)

First step: Distribute (PEMDAS --> Parenthesis)

5p + 25 + 6p + 36 Now, combine like terms

11p + 61

Thus, the answer is 11p + 61

4 0

2 years ago

Read 2 more answers

What is the meaning os slpoe in math and please give an example for y=2x-1;(-2,2)

alexira [117]

Slope is your 2x, so 2x over 1 meaning after you plot (-2,2) on the graph you rise 2 and go 1 to the right, or do the opposite to make the line so go down 2 and one to the left. Hope that helped.

6 0

3 years ago

A. A 5in radius ball is in a

abruzzese [7]

Answer:

52.33%

Step-by-step explanation:

Since, all six sides of the box are touching the ball.

So, all the three dimensions of the box are equal.

Hence, it is a cubical box.

Side length of the box (l)

= diameter of the ball

= 2*radius of the ball

= 2*5

= 10 In.

$V_{ball} = \frac{4}{3} \pi r^3$

$V_{ball} = \frac{4}{3} \times 3.14(5)^3$

$V_{ball} = \frac{4}{3} \times 3.14\times 125$

$V_{ball} = \frac{1,570}{3}\: In^3$

$V_{box} =l^3$

$V_{box} =(10)^3$

$V_{box} =1000\: In^3$

Percentage of the space in the box occupied by the ball

$= \frac{V_{ball}}{V_{box} } \times 100$

$= \frac{\frac{1,570}{3}}{1000} \times 100$

$= \frac{1570}{3000} \times 100$

$= \frac{157}{3}$

$= 52.33\%$

5 0

3 years ago

Factorise the following equation: <img src="https://tex.z-dn.net/?f=6x%5E2%2B17x%2B5" id="TexFormula1" title="6x^2+17x+5" alt="6

RSB [31]

Answer:

(3x+1)(2x+5) is the answer

8 0

4 years ago

In your own words, explain the Normal Distribution and provide a real world example.

elena-14-01-66 [18.8K]

Answer:

The Normal distribution is a continuous probability distribution with possible values all the reals. Some properties of this distribution are:

Is symmetrical and bell shaped no matter the parameters used. Usually if X is a random variable normally distributed we write this like that:

$X \sim N(\mu , \sigma)$

The two parameters are:

$\mu$ who represent the mean and is on the center of the distribution

$\sigma$ who represent the standard deviation

One particular case is the normal standard distribution denoted by:

$Z \sim N(0,1)$

Example: Usually this distribution is used to model almost all the practical things in the life one of the examples is when we can model the scores of a test. Usually the distribution for this variable is normally distributed and we can find quantiles and probabilities associated

Step-by-step explanation:

The Normal distribution is a continuous probability distribution with possible values all the reals. Some properties of this distribution are:

Is symmetrical and bell shaped no matter the parameters used. Usually if X is a random variable normally distributed we write this like that:

$X \sim N(\mu , \sigma)$

The two parameters are:

$\mu$ who represent the mean and is on the center of the distribution

$\sigma$ who represent the standard deviation

One particular case is the normal standard distribution denoted by:

$Z \sim N(0,1)$

Example: Usually this distribution is used to model almost all the practical things in the life one of the examples is when we can model the scores of a test. Usually the distribution for this variable is normally distributed and we can find quantiles and probabilities associated

4 0

3 years ago