Given trapezoid WXYZ, what is XY?

A plastic bin contains red, yellow, and green key chains. Out of 350 key chains, 10% percent are yellow. Of the remaining key ch

Ulleksa [173]

Hello there! Thank you for asking your question here at Brainly! I will be assisting you with answering this question, and will be teaching you how to handle it on your own in the future.

We have 350 total keychains, in which 10% are yellow, 3/5 are green, and x are red. We will be solving for red, but we need to subtract 10% and 3/5 from 350.

So, let's find out how much 10% of 350 is.
Since 10% is equivalent to 1/10, we can divide 350 by 10 to find how many yellow key chains there are.
350 / 10 = 35.
There are 35 yellow key chains. We can subtract this from 350 to narrow it down.
350 - 35 = 315.

Now, let's find how much 3/5 of 350 is, and subtract it from our new number (315).

Divide 350 by 5, and then multiply that quotient by 3.
350 / 5 = 70.
70 x 3 = 210.

We have 210 green key chains. Now let's subtract that from 315. This will give us the remaining key chains - which are red.
315 - 210 = 105.

There are 105 red key chains.

I hope this helps!

3 0

3 years ago

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.3 and P(B) = 0.7. If

Thepotemich [5.8K]

Answer:

See below

Step-by-step explanation:

What is P(A B)?

If A and B are mutually exclusive, then

P(AB) = P(A∩B) = P(∅) = 0

What is P(A | B)?

By definition

Since

P(A∩B) = 0, then P(A | B) = 0

Is P(A | B) equal to P(A)?

No, because P(A | B) = 0 and P(A) = 0.3

Are events A and B dependent or independent?

A and B would be independent if

P(A | B) = P(A) and P(B | A) = P(B)

But both P(A |B) and P(B | A) equals 0 and P(A) = 0.3, P(B) = 0.7

Hence, <em>A and B are dependent. </em>

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

No, it is not.

As we already saw, A and B are mutually exclusive but they are not independent.

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

If A and B are not empty events which are mutually exclusive, they can never be independent.

6 0

3 years ago

Find the circumference whose radius is 20cm take 3.14

jekas [21]

Step-by-step explanation:

please mark me as brainlest

8 0

3 years ago

The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation c = 3. 5b. Whi

Dmitrij [34]

The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable. The values given in the table 3 matches the equation and includes the viable solutions.

<h3>Given information-</h3>

The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation,

$c=3.5b$

The quantity of the bread depends on the quantity of the loaves.

<h3>Dependent variable</h3>

The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable.

Lets check which table satisfy the above equation.

Table 1-

In the table the first values of the bread and the loves is -2 and -7. The quantity of a bread and loves can not be negative. Thus the table 1 does not provides the viable solution.

Table 2-

In the table 2 the value of the third row is 1.5 loaves and 5.25 breads. Check this by the given equation. When the value of loaves is 1.5 then the value of the bread is,

$c=3.5\times1.5$