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3 years ago

What is the probability that a point chosen at random on the grid will lie in the shaded region?

Mathematics

1 answer:

Mashcka [7]3 years ago

8 0

Given:

A grid with a shaded region.

To find:

The probability that a point chosen at random on the grid will lie in the shaded region.

Solution:

We have,

Total number of small boxes = 100

Number of blue boxes (shaded region) = 36

Now,

probability that a point chosen at random on the grid will lie in the shaded region is

$\text{Probability}=\dfrac{\text{Number of blue boxes (shaded region)}}{\text{Total number of small boxes}}$

$\text{Probability}=\dfrac{36}{100}$

To find the probability in percent, multiply it by 100.

$\text{Probability}\%=\dfrac{36}{100}\times 100$

$\text{Probability}\%=36\%$

Therefore, the correct option is A.

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A road sign is in the shape of a regular pentagon. What is the measure of each angle on the sign? Round to the nearest tenth. Se

dangina [55]

Answer:

Option D) 108 degrees

Step-by-step explanation:

We are given the following in the question:

A regular pentagon.

Thus, all the angles of the pentagon are equal.

Angle sum property of pentagon:

In a pentagon, the sum of all the interior angle of a pentagon is 540 degrees.

Measure of each angle =

$=\dfrac{\text{Measure of angle}}{\text{Number of angle}} = \dfrac{540}{5} = 108^\circ$

Thus, the measure of each angle on the sign is 108 degrees.

Option D) 108 degrees

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3 years ago

Miguel’s teacher asked him to color 4/8 of his grid. He must use 3 colors: red, blue, and green. There must be more green sectio

wolverine [178]

Color 2/8 of grid in green, 1/8 grid in red and 1/8 grid in blue

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3 years ago

A function h(x) is defined by the equation h(x) = sqrt x-2 + 3. Which is the graph of h(x)?

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<h3><u>Explanation</u></h3>

Given Equation

$h(x) = \sqrt{x - 2} + 3$

Transformation

A constant inside the square root will make the graph shift either left to right, depending on the number. From the equation. The graph shifts to right two units.

A constant outside the square root will make the graph shift up or down, depending the value. From the equation, the graph shifts up 3 units.

<h3><u>Answer</u></h3>

Second Image, the first one where x = 2 and y = 3.

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3 years ago

For each equation choose a value for x and then solve

ss7ja [257]

Answer:

Step-by-step explanation:

For each equation choose a value for x and then solve to find the corresponding y value that makes that equation true.

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3 years ago

PLEASE HELP IM BEING TIMED!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!!! 100PTS!!!

amid [387]

Answer:

B and D.

Step-by-step explanation:

We know that when we added the two functions together, we get:

$h(x)=-x+9$

However, when we multiplied them together, we get:

$j(x)=-9x$

Let's first consider what we can determine from this.

If we add them together, we get a linear equation. However, this doesn't mean that our two original functions are linear since if we have, say, -x^2 and x^2-x+9, they will cancel and form a linear equation if we add them together.

<em>However</em>, since we know that if we multiply the two functions together, we get a linear equation, this means that both our original functions must be linear.

<em>But</em>, if we multiplied two linear functions, then we should get a quadratic, since x times x will yield x².

Therefore, this means that one of our linear functions is a horizontal line with no x variable. This is the only way to have a linear equation when multiplied.

Therefore, we have determined that both of our original functions are linear functions, and one (only one of them) is a horizontal line.

Let's go through each of the answer choices.

A) Both functions must be quadratic.

This is false as we determined earlier. If this was true, then the resulting function should be a quartic and not a line. A is false.

B) Both functions must have a constant rate of change.

Remember that all linear equations have a constant rate of change.

Since we determined that both our original functions are linear equation, this means that both our functions will have a constant rate of change.

So, B is true.

C) Both functions must have a y-intercept of 0.

Remember that one of our functions is a horizontal line.

If the y-intercept was 0, then the equation of our horizontal line will be:

$y=0$

And we know that anything multiplied by 0 will give us 0. However, the product of our function is -9x.

So, C cannot be true.

Rather, only our linear equation (not the horizontal line) may have a y-intercept of 0.

D) The rate of change of either f(x) or g(x) must be 0.

Remember that we determined that one of our lines must a horizontal.

Remember that horizontal lines have a slope of 0. In other words, the rate of change is 0.

So, D is true.

E) The y-intercepts of f(x) and g(x) must be opposites.

Well, since B and D is are true, this must be false since we can only select two options ;D

But, we can think about this. Note that if we multiply the two functions, we have a function <em>without</em> a y-intercept.

Remember that our horizontal line is <em>not</em> 0. So, the y-intercept of the horizontal line is a number.

So, the opposite of a number is another number.

So, if we multiply two non-zero numbers, we <em>must</em> get another number.

However, from our product, j(x)=-9x, we don't have another number. The y-intercept from this is 0.

Therefore, the two y-intercepts <em>cannot</em> be opposites of each other. If it was so, then we should have a y-intercept. So, E must be false.

In fact, this means that the y-intercept of our line (not the horizontal one) <em>must </em>be 0.

So, our answers are B and D.

And we're done!

Edit: Some (minor) errors in reasoning. Sorry!

4 0

3 years ago

Read 2 more answers