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3 years ago

What is the answer, she explanation pls

Mathematics

1 answer:

Bingel [31]3 years ago

7 0

Answer: OPTION D.

Step-by-step explanation:

First, it is important to know the definition of "Chord" and "Arcs" in circles.

A Chord is defined as a segment that joins any two points of a circle.

An Arc is defined as portion of the circumference of a circle.

By definition:

1) If two chords of a circle are congruent (which means that they have equal measure), then their intercepted Arcs are also congruent.

2) If the Arcs are congruent, then they have congruent chords.

In this case, you know that the Arc GH and the Arc JK are congruent. Therefore, you can conclude that the Chord GH and the Chord JK are also congruent.

Then, knowing that:

$GH=9\ units$

You can determine that:

$JK=9\ units$

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You can buy 5 oranges for $2.50. What is the unit rate for 1 orange? How much would 8 oranges cost?

lions [1.4K]

Answer:

Step-by-step explanation:

You have to divide 5 by 2 to find the unit rate.

5/2= 2.5

Hope this helps.

5 0

3 years ago

For the wheel pictured on the right, assume that a person spins the pointer and is awarded the amount indicated by the pointer.

Anuta_ua [19.1K]

The expectation value is given by:

$EV=\sum_{i\mathop{=}1}^nx_iP(x_i)$

In this case we just have two options, each with probability 1/2, and the values of x are 2 and 9; then we have:

$\begin{gathered} EV=(2)(\frac{1}{2})+(9)(\frac{1}{2}) \\ EV=2+\frac{9}{2} \\ EV=\frac{13}{2} \\ EV=6.5 \end{gathered}$

Therefore, the expectation is $6.5

3 0

1 year ago

Which expressions represent a quadratic expression in factored form?

Bingel [31]

Answer:

3 and 4

Step-by-step explanation:

Well to start we have to know that they are asking us, a factorized form of a quadratic expression

a quadratic expression is of the form

ax ^ 2 + bx + c

Now the factored form is as follows

a ( x - x1 ) ( x - x2 )

Next, let's look at each of the options

In this case we lack a term with x since if we solve we have a linear equation

1. 5(x+9)

5x + 45

In this case if we pay attention they are being subtracted instead of multiplying, so we will not get a quadratic function

2. (x+4) - (x+6)

-2

In this case we have everything we need, now let's try to solve

3. (x-1) (x-1)

x^2 - x - x + 1

x^2 - 2x + 1 quadratic function

In this case we have everything we need, now let's try to solve

4. (x-3) (x+2)

x^2 -3x +2x -6

x^2 -x - 6 quadratic function

In this case we have a quadratic function but we do not have it in its factored form since we can observe the x ^ 2

5. x^2 + 8x

8 0

3 years ago

It has been decided that 100 people need to be surveyed to decide the publics opinion on a school building project. A student su

Morgarella [4.7K]

Answer:

The proposed way of sampling is a biased way to perform the survey.

Step-by-step explanation:

Convenience sampling is a kind of non-probability sampling method that comprises of the sample being taken from that portion of the population that is near to hand. In this type of sampling method, all items doesn’t have an equivalent chance of being selected, which doesn’t comprises of random collection of items.

Convenience sampling is where we take in items which are easy to reach.

Convenience sampling consists of selection bias, i.e.e the bias involved in the sample due to inappropriate selection procedures.

For example, randomly selecting 4 people sitting near him to guesstimate the mean age of the class is a convenience sampling example. or gathering information on customer satisfaction by interviewing 6 randomly selected customers from a local store is an illustration of convenience sampling.

In this case, the sample suggested by the students consists of surveying the first 100 people who enter the school, about the public opinion on a school building project.

This is an example of convenience sample.

So, there is a selection bias present in the sample.

Thus, the proposed way of sampling is a biased way to perform the survey.

4 0

4 years ago

2 angles of a triangle are the same size. the 3rd is 3 times as large as the 1st

myrzilka [38]

Answer:

36°, 36° and 108°

Step-by-step explanation:

let the equal angles be x then the third angle = 3x

The sum of the 3 angles in a triangle = 180°, thus

x + x + 3x = 180, that is

5x = 180 ( divide both sides by 5 )

x = 36

and 3x = 3 × 36 = 108

The 3 angles are 36°, 36° and 108°

4 0

4 years ago