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3 years ago

Solve the following system of equat

Mathematics

1 answer:

kirza4 [7]3 years ago

4 0

What have you done so far? Why not start by eliminating the variable x? Do you know how to do that? Hint: use multiplication / division of rows and then addition / subtraction.

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A baseball coach order hats for his team. Each hat cost $10. The shipping charger is $6. The total cost of the order must be les

NeTakaya

The answer should be:

10h + 6 < 125

3 0

3 years ago

Read 2 more answers

Definition: The probability of an occurrence of a single event is called ___ probability.

Sonja [21]

Answer:

1/6

Step-by-step explanation:

A six sided die has 6 options, you can roll a 1,2,3,4,5,6. You cannot "remove" numbers and with a single die, you can't roll anymore than one number at a time. 2 is one option out of 6, therefore your answer is 1/6.

8 0

3 years ago

Read 2 more answers

Write the relation as a set of ordered pairs

Marina CMI [18]

I don't know what the relation in your problem is, but I'll just explain this using my own example.

Let's use the following relation as the example (pretend it's a table of values):

x | y

0 | 1

2 | 4

4 | 7

6 | 10

To write the relation as ordered pairs, you need the x and y values from the table. An ordered pair is written like this: (x,y).

Based off of this explanation, the ordered pairs from this example would be:

(0,1) (2,4) (4,7) (6,10)

7 0

2 years ago

. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased

DedPeter [7]

Answer:

The probability that they purchased a green or a gray sweater is $\frac{12}{31}$

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

$P(A)=\frac{number of favorable cases}{number of possible cases}$

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being:

P(A)= the probability that they purchased a green sweater
P(B)= the probability that they purchased a gray sweater
Mutually exclusive events

You know:

8 purchased green sweaters
4 purchased gray sweaters
number of possible cases= 12 + 8 + 4+ 7= 21

So:

$P(A)=\frac{8}{31}$

$P(B)=\frac{4}{31}$

P(A⋂B) = 0

Then:

P(A∪B)= P(A) + P(B)

P(A∪B)= $\frac{8}{31}+ \frac{4}{31}$

P(A∪B)= $\frac{12}{31}$

<u><em>The probability that they purchased a green or a gray sweater is </em></u> $\frac{12}{31}$ <u><em></em></u>

5 0

3 years ago

Place 3 numbers between 12 and 60 to make a sequence of 5 numbers with a common difference

Vilka [71]

The 3 numbers which should be placed between 12 and 60 are; 24, 36 and 48.

<h3>What three numbers should be placed between 12 and 60?</h3>

It follows from the task content that the first and last numbers are; 12 and 60 respectively.

Hence, since the difference between 12 and 60 is 48 and there are 4 transitions between the two numbers to have 5 total numbers,

It follows that the common difference is; 48/4 = 12 and the three numbers required are; 24,36 and 48.