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4 years ago

Solve the inequality and graph the solution N+3<5.

Mathematics

1 answer:

____ [38]4 years ago

8 0

Answer:

n<2

Step-by-step explanation:

move all terms not containing n to the right side of the inequality

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Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event

enot [183]

Answer:

$P(x < 3) = 25\%$

$E(x) = 3$

Step-by-step explanation:

The given parameters can be represented as:

$\begin{array}{ccccccc}x & {5} & {4} & {3} & {2} & {1}& {0} & P(x) & {25\%} & {30\%} & {20\%} & {15\%} & {5\%} & {5\%} \ \end{array}$

Solving (a): P(x < 3)

This is calculated as:

$P(x < 3) = P(x = 0) + P(x = 1) + P(x =2)$ ----- i.e. all probabilities less than 3

So, we have:

$P(x < 3) = 5\% + 5\% + 15\%$

$P(x < 3) = 25\%$

Solving (b): Expected number of events

This is calculated as:

$E(x) = \sum x * P(x)$

So, we have:

$E(x) = 5 * 25\% + 4 * 30\% + 3 * 20\% + 2 * 15\% + 1 * 5\% + 0 * 5\%$

$E(x) = 125\% + 120\% + 60\% + 30\% + 5\% + 0\%$

$E(x) = 340\%$

Express as decimal

$E(x) = 3.40$

Approximate to the nearest integer

$E(x) = 3$

3 0

3 years ago

Your friend says the sum of two linear expressions is always linear expressions. Is your friend correct? Explain.

ra1l [238]

Yes, since adding two like variables will always result in the same variable.(i.e. x+x=2x not x^2). Any expression with the highest variable being to the power of 1 (or just x) is ALWAYS a linear expression.

8 0

3 years ago

8x + 2y= 10<br> Solve the equation for y ...?

madam [21]

8x+2y=10
-8x -8x

2y=-8x+10
_ _ _
2 2 2

y=-4x+5

8 0

4 years ago

Read 2 more answers

How long will it take an object dropped from a window to fall a distance of 78.4 meters?

Free_Kalibri [48]

As you said it was dropped so in that case I'll take 78.4 meters as the height..
we know that
h = ut + 0.5*g*t(sqr)
t(sqr) = 78.4/(0.5*9.8) [g = 9.8 ms-2]
t = √16
t = 4
So it'd take 4 seconds

7 0

3 years ago

Read 2 more answers

Use the given cost table for the same product from two different companies to create a linear system.

viktelen [127]

40 garments need to be dry cleaned for the two companies to have the same cost.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let f(x) represent the cost for dry cleaning at Company 1. Hence using the points:

(5, 115.25) and (15, 155.75)

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\
 \\
y-115.25=\frac{155.75-115.25}{15-5}(x-5)\\
 \\
y=4.05x+95$

Let g(x) represent the cost for dry cleaning at Company 2. Hence using the points:

(5, 45.25) and (15, 105.75)

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\
 \\
y-45.25=\frac{105.75-45.25}{15-5}(x-5)\\
 \\
y=6.05x+15$

For the cost to be the same:

4.05x + 95= 6.05x + 15

x = 40

40 garments need to be dry cleaned for the two companies to have the same cost.

Find out more on Linear equation at: brainly.com/question/14323743

7 0

2 years ago