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3 years ago

What is the slope of the line passing through the point (2,1) and the origin ?

Mathematics

1 answer:

liraira [26]3 years ago

6 0

Answer:

$m=\frac{1}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Random Point (2, 1)

Origin (0, 0)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute [SF]: $m=\frac{0-1}{0-2}$
Subtract: $m=\frac{-1}{-2}$
Simplify: $m=\frac{1}{2}$

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Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone

Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of each system working:

4 components, which means that $n = 4$

Each has a 30% probability of failing, so $p = 1 - 0.3 = 0.7$

For the system to work, all 4 components have to work. This is P(X = 4).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401$

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so $n = 7$

0.2401 probability of a system working.

We have to find P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615$

16.15% probability that exactly 3 of them would function

5 0

3 years ago

Find the distance that the points is given on the graph ?

EleoNora [17]

From the graph, the given points are (2,-1) and (4,0). Use the distance between two points formula:

$\large \boxed{ \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } }$

Substitute these points in the formula.

$\large{ \sqrt{ {(2 - 4)}^{2} + {( - 1 - 0)}^{2} } } \\ \large{ \sqrt{ {( - 2)}^{2} + {( - 1)}^{2} } } \\ \large{ \sqrt{4 + 1} \longrightarrow \sqrt{5} }$

Hence, the distance is √5

Answer

√5

7 0

3 years ago

Todd's cube has an edge that measures5 inches. Kara's cube has an edge of3 inches. If Kara's cube was stackedon top of Todd's cu

anyanavicka [17]

Answer:

152 in³

Step-by-step explanation:

Each cube's volume is the cube of its edge length, so the total volume is ...

(5 in)³ + (3 in)³ = 125 in³ +27 in³ = 152 in³

3 0

3 years ago

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dimaraw [331]

X - y = 5 in slope intercept form is y = x - 5

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3 years ago

Help me plz these are my last points and my las try the answer i did said its wrong

irga5000 [103]

Answer:

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3 years ago

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