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3 years ago

Solve the system of linear equations

Mathematics

1 answer:

7nadin3 [17]3 years ago

5 0

This is a special case. If after step two I would've gotten y=something... I would have plugged that new y value into my first equation

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A cafeteria has two sodas. On machine has the following flavors: cola, root beer, and lime. The second machine has a lemon, oran

ser-zykov [4K]

{Cola, Root Beer, Lime, Lemon, Orange, Cherry}

3 0

3 years ago

The second quartile of a data set is 4.2. What does this mean?

nikitadnepr [17]

The second quartile Q₂ is nothing but the Median.
This means that it median = 4.2

6 0

3 years ago

A box contains different colored paper clips. The probability of drawing two red paper clips from the box without replacement is

ivann1987 [24]

Answer: 5/14 which is choice B

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

How I got this answer:

Define the following events

A = event of picking a red paper clip on the first selection

B = event of picking a red paper clip on the second drawing

Replacement is not made.

Now onto the probabilities for each

P(A) = 2/5 = 0.4 is given to us as this is simply the probability of picking red on the first try

P(A and B) = probability of both events A and B happeing simultaneously = 1/7

P(B|A) = probability event B occurs, given event A has occured

P(B|A) = probability of selecting red on second selection, given first selection is red (no replacement)

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

P(B|A) = (1/7) / (2/5)

P(B|A) = (1/7) * (5/2)

P(B|A) = (1*5)/(7*2)

P(B|A) = 5/14

So if event A happens, then the chances of event B happening is 5/14

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A more concrete example:

If we had 15 paperclips, and 6 of them were red, then

P(A) = (# of red)/(# total) = 6/15 = 2/5

P(B|A) = (# of red left)/(# total left) = (6-1)/(15-1) = 5/14

P(A and B) = P(A)*P(B|A) = (2/5)*(5/14) = 10/70 = 1/7

7 0

3 years ago

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Jensen is building a snow fort. Each block in the fort weighs about 1 kilogram. Jensen hopes to make about 40 blocks for the for

babymother [125]

Answer: 13,333 snowflakes

Step-by-step explanation:

For this exercise let be "x" represents the number of snowflakes that will be in the fort.

According to the information given in the exercise, the weight of one block is 1 kilogram. Knowing that the fort must have 40 blocks, the total weight is:

$total\ weight=(1\ g)(40)\\\\total\ weight=40\ g$

Since each snowflake weighs $3* 10^{-3}$ grams, need to divide the total weight calculated above by the weight of a snowfake.

Therefore, through this procedure you get the following result:

$x=\frac{40\ grams}{3 * 10 ^{-3}\ grams}\\\\x\approx13,333$

Therefore, the there will be 13,333 snowflakes in the fort.

5 0

3 years ago

Write 3 7/9 as an improper fraction.

mr Goodwill [35]

Answer:

34/9

Step-by-step explanation:

3 7/9 = 9*3+7 =34

34/9

4 0

3 years ago

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