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LekaFEV [45]
2 years ago
11

Determine if the event described is independent or dependent.

Mathematics
1 answer:
WINSTONCH [101]2 years ago
5 0
They are dependent events, because the probability of the second event depends on the result of the first event

If you replace the marble before picking up the second marble, then the first event didn't affect the second result ant the events were independent.

Given that you did not replace the marble, the second pick up has different probailities depending on the first result.


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What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
Orlov [11]

Answer:

(2x - 5 ) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x - 35

The product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7 are not equal.

Step-by-step explanation:

Product means multiplication

Product of 2x - 5 and 3x^2 + 5x - 7

(2x - 5 ) (3x^2 + 5x - 7)

= 6x^3 + 10x^2 - 14x - 15x^2 - 25x - 35

Collect like terms

= 6x^3 + 10x^2 - 15x^2 - 14x - 25x - 35

= 6x^3 - 5x^2 - 39x - 35

Product of 5x - 2 and 3x^2 + 5x - 7

(5x - 2) (3x^2 + 5x - 7)

= 15x^3 + 25x^2 - 35x - 6x^2 - 10x + 14

Collect like terms

= 15x^3 + 25x^2 - 6x^2 - 35x - 10x + 14

= 15x^3 + 19x^2 - 45x + 14

The product of 2x – 5 and 3x^2 + 5x - 7equal to the product of 5x - 2 and 3x^2 + 5x - 7 are not equal.

They both consist of different variables in their multiplier

8 0
3 years ago
A number has only 1 factor pair. One of its factors is twice the other factor. What is the number? Explain.
Mrrafil [7]
<h3>Answer:  2</h3>

========================================================

Explanation:

If a number only has one factor pair, then that number must be prime. This is because prime numbers only have factors of 1 and the number itself.

For instance, the value 7 is prime because the only factors of this are 1 and 7.

For something like the number 32, it is composite and not prime because it has the factors {1,2,4,8,16,32} and it leads to these three factor pairs: 1*32, 2*16, 4*8. This is one example showing why the answer isn't composite.

-----------

Let's say that p is the unknown prime we want to find. The factors of this are 1 and p. We're told that "one of the factors is twice the other factor", so that must mean p = 2*1 = 2. We can see that 2 is twice that of 1.

8 0
3 years ago
Find the monthly interest payment in the situation described below. Assume that the monthly interest rate is 1 divided by 12 of
asambeis [7]

The monthly interest payment is 162

<h3>What is Interest?</h3>

Interest, in its most simple form, is calculated as a percent of the principal.

First,

monthly interest rate,

= 0.24/12

= 0.02.

Now,

Average monthly interest,

=0.02×$675

= $13.50.

Thus, the annual interest payments,

= 12×$13.50

= $162

Learn more about this concept here:

brainly.com/question/1435782

#SPJ1

3 0
1 year ago
Definition of vertical line test
Serhud [2]

the vertical line test is a graphical way to determine whether or not the graph is a function of x

if you can draw a vertical line on a graph and cross the graph at least 2 times, the graph is not a function

a function will have 1 y value for every x value, therefore, if we can draw a vertical line (x=c, a constant) that intersects the curve at more than 1 point, then that point where it intersects at more than 1 point is where 1 value of x coresponds to more than 1 value of y and is therefore not a function

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3 years ago
Sady students took a math test. The percentages of students who scored an A, B, C, or D are displayed in the circle graph,
valina [46]
Bob the builder was happy with this
8 0
3 years ago
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