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2 years ago

What is the decimal expansion of -11/15

Mathematics

1 answer:

Orlov [11]2 years ago

4 0

Answer:

−0.73333333333333

Step-by-step explanation:

This is the decimal form of -11/15

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Can someone help??? Also if it wouldn’t bother can you also state how you got the answer. I don’t quite understand this concept.

Bond [772]

2/3 + x=4

x= 4 - 2/3

= (((4)(3) -2))/3

= (12-2)/3

= 10/3

7 0

3 years ago

Anyone can help me solve this equation using cross multiplying

Natali5045456 [20]

9514 1404 393

Answer:

x = 1 or 5

Step-by-step explanation:

The notion of "cross-multiplying" is the idea that the numerator on the left is multiplied by the denominator on the right, and the numerator on the right is multiplied by the denominator on the left. This looks like ...

$\displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\ \longrightarrow\ (x-1)(3x-1)=(7)(2x-2)$

Then the solution proceeds by eliminating parentheses, and solving the resulting quadratic equation.

$3x^2-4x+1=14x-14\\\\3x^2-18x+15=0\qquad\text{subtract $14x-14$}\\\\x^2-6x+5=0 \qquad\text{divide by 3}\\\\(x-1)(x-5)=0\qquad\text{factor}\\\\x\in\{1,5\}$

_____

Comment on "cross multiply"

Like a lot of instructions in Algebra courses, the idea of "cross multiply" describes what the result looks like. It doesn't adequately describe how you get there. The one and only rule in solving Algebra problems is "whatever is done to one side of the equation must also be done to the other side of the equation." If you multiply one side by one thing and the other side by a different thing, you are violating this rule.

What looks like "cross multiply" is really "multiply by the product of the denominators and cancel like terms from numerator and denominator." Here's what that looks like with the intermediate steps added.

$\displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\\\\\frac{x-1}{7}\times7(3x-1)=\frac{2x-2}{3x-1}\times7(3x-1)\\\\(x-1)(3x-1)=(2x-2)(7)\qquad\textit{looks like}\text{ cross multiply}$

8 0

2 years ago

PLEASE ANSWER What is a ratio?

Grace [21]

A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

7 0

2 years ago

4/5 x = 8 i need to show my work

Anika [276]

Answer:

x=10

Step-by-step explanation:

I'm assuming you needed to solve for x. Here is how you do it:

first, divide both sides by 4/5 to get x by itself.

this will give you x=8 divided by 4/5.

To solve 8 divided by 4/5 you do keep switch flip.

keep the first number (8), switch the sign (division to multiplication), and flip the other fraction (4/5 to 5/4) then you can just multiply across the top (8/1 *5/4) which equals 40/4. This simplified is 10

4 0

2 years ago

What is the significance of the mean of a probability distribution?

VikaD [51]

Answer:

Significance of the mean of a probability distribution.

Step-by-step explanation:

The mean of a probability distribution is the arithmetic average value of a random variable having that distribution.

For a discrete probability distribution, the mean is given by, $\sum x_iP(x_i)$ , where P(x) is the probabiliy mass function.
For a continuous probability distribution, the mean s given by, $E(x) = \int x_if(x_i)$ , where f(x) is the probability density function.
Mean is a measure of central location of a random variable.
It is the weighted average of the values that X can take, with weights given by the probability density function.
The mean is known as expected value or expectation of X.
An important consequence of this is that the mean of any symmetric random variable (continuous or discrete) is always on the axis of symmetry of the distribution.
For a continuous random variable, the mean is always on the axis of symmetry of the probability density function.

4 0

3 years ago