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vladimir2022 [97]
2 years ago
7

Question

Mathematics
1 answer:
exis [7]2 years ago
6 0

Answer:

solving the equation 5x^2 - 16 = 29 we get the solution: \mathbf{x=3,x=-3}

Step-by-step explanation:

We need to solve the equation 5x^2 - 16 = 29

We need to solve the equation to find the value of x.

We can solve this equation using simple DMAS rule.

We are given:

5x^2 - 16 = 29

Add 16 on both sides

5x^2 - 16+16 = 29+16\\5x^2=45

Now, divide both sides by 5

\frac{5x^2}{5}=\frac{45}{5} \\x^2=9

Now, we know that \sqrt{x^2}=\pm x

Taking square root on both sides.

\sqrt{x^2}=\sqrt{9}\\x=\pm3

So, we get values of x:

x=3, x=-3

Therefore, solving the equation 5x^2 - 16 = 29 we get the solution: \mathbf{x=3,x=-3}

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Assume that P(E) = 0.471 and P(F) = 0.595. If E and F are independent, find P(E and F)
dsp73

The value of the probability P(E and F) is 0.2802

<h3>Independent probability</h3>

Events are known to be independent if the occurrence of one does not affect the other.

Given the following parameters

P (E) =0.471

P(F) = 0.595

If E and F are independent, then;

P(E and F) = P(E)P(F)

P(E and F)  = 0.471 * 0.595
P(E and F)  = 0.2802

Hence the value of the probability P(E and F) is 0.2802

Learn more on independent events here: brainly.com/question/1374659

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Varvara68 [4.7K]
The right answer is
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100 POINTS PLZ HELP
crimeas [40]

An ordered pair such as (3,-1), is a shorthand way of writing two variables, such as x = 3 and y = -1. The order of the numbers in the pair is important: x always comes before y.

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.

It helps to locate a point on the Cartesian plane for better visual comprehension.

The numeric values in an ordered pair can be integers or fractions.

Ordered Pair = (x,y)

Where, x = abscissa, the distance measure of a point from the primary axis “x”

And, y = ordinate, the distance measure of a point from the secondary axis “y”

In the Cartesian plane, we define a two-dimensional space with two perpendicular reference lines, namely x-axis and y-axis. The point where the two lines meet at “0” is the origin.

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