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3 years ago

What is the answer to 35=-7[z+8]

Mathematics

2 answers:

dedylja [7]3 years ago

5 0

<span>z=−13</span> would be your answer

vodomira [7]3 years ago

3 0

I guess you need to solve for z:

-7(z+8) = 35
First, let's develop -7(z+8):
-7(z+8) = -7z -56

So -7(z+8) = 35
-7z - 56 = 35

Then we add 56 in both sides so we can get the variable on a side and the numbers on another:
-7z - 56 + 56 = 35 + 56
-7z = 91

Then divide each side by -7 so we can get the variable z alone on a side and its value on another side:
-7z = 91
(-7z)/-7 = 91/-7
z = -13

You can re-check your answer (very important):
-7(z+8) = -7(-13+8) = -7 * -5 = 35 (Multiplying negative numbers gives a positive number).
The answer has been approved.

Hope this Helps! :)

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Answer:

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3 years ago

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Minchanka [31]

Answer:

(a,b) → (a,-b) : Reflection about x axis.

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(a,b) → (b,-a) : Rotation by 90 degree clockwise.

Step-by-step explanation:

Given:

The transformation of points are given as:

(a,b) → (a,-b)

(a,b) → (a, b+5)

(a,b) → (b,-a)

Now, let us consider each transformation one by one.

(1) (a,b) → (a,-b)

Here, the order of the coordinates has not changed. But, the y coordinate of the point has changed. The y coordinate was 'b' and it has changed only its sign but not value. So, it is a transformation related to reflection.

In reflection, only the sign changes. Since, the 'y' coordinate sing is reversed, so, it is a reflection about x axis.

(2) (a,b) → (a, b+5)

Here, the 'y' coordinate of the point has changed. The change is from 'b' to 'b+5'. So, 5 is added to the y coordinate. As per transformation rules, if a positive number 'C' is added to the y coordinate, then the point shifts vertically up by 'C' units. Hence, there is a translation of 5 units up here.

(3) (a,b) → (b,-a)

Here, the 'x' and 'y' coordinates interchange their values and also the new y coordinate has its sign reversed. This happens in rotation.

We know that, (x, y) → (y, –x) is true when there is rotation by 90 degree clockwise.

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Answer:

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C. In most applications, continuous random variables represent measured data.

Step-by-step explanation:

It is true statement that,

A. A random variable is a numerical description of the outcome of a statistical experiment.

B. In most applications, discrete random variables represent counted data.

C. In most applications, continuous random variables represent measured data.

The false statement is -

D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.

Reason -

The mean value, or expected value, of a discrete random variable X is given by the following equation:

μ = E(x) = ∑ x p(x)

And

The variance of a discrete random variable is given by the following formula:

σ²=∑ (x−μ)² P(x)

And

The square root of the variance, or, in other words, the square root of σ², is the standard deviation of a discrete random variable :

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Answer:

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