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VladimirAG [237]
3 years ago
14

Which of the following inequalities is equivalent to 1 > x

Mathematics
2 answers:
yarga [219]3 years ago
7 0

Answer:

The answer is D x ≤ 1

Step-by-step explanation:

vladimir2022 [97]3 years ago
4 0
1 is greater than or equal to x is equal to x is less than or equal to 1 (the last option)

hope this helps ;)
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There are 4 green marbles and 2 red marbles in the jar. You just randomly draw one by one without replacement and stop when you
zalisa [80]

Answer:

Then the probability distribution is:

P(0) = 1/3

P(1) = 4/15

P(2) = 1/5

P(3)  = 2/15

P(4) = 1/15

The expected value for X is:

EV = 1.33...

Step-by-step explanation:

We have a total of 6 marbles in the jar.

The probability of getting a red marble in the first try  (X = 0) is equal to the quotient between the number of red marbles and the total number of marbles, this is:

P(0) = 2/6 = 1/3

The probability of drawing one green marble (X = 1)

is:

First, you draw a green marble with a probability of 4/6

Then you draw the red one, but now there are 5 marbles in the jar (2 red ones and 3 green ones), then the probability is 2/5

The joint probability is:

P(1) = (4/6)*(2/5) = (2/3)*(2/5) = 4/15

The probability of drawing two green marbles (X  = 2)

Again, first we draw a green marble with a probability of 4/6

Now we draw again a green marble, now there are 3 green marbles and 5 total marbles in the jar, so this time the probability is 3/5

Now we draw the red marble (there are 2 red marbles and 4 total marbles in the jar), with a probability of 2/4

The joint probability is:

P(2) = (4/6)*(3/5)*(2/4) = (2/6)*(3/5) = 1/5

The probability of drawing 3 green marbles (X = 3)

At this point you may already understand the pattern:

First, we draw a green marble with a probability 4/6

second, we draw a green marble with a probability 3/5

third, we draw a green marble with a probability 2/4

finally, we draw a red marble with a probability 2/3

The joint probability is:

P(3) = (4/6)*(3/5)*(2/4)*(2/3) = (2/6)*(3/5)*(2/3) = (1/5)*(2/3) = (2/15)

Finally, the probability of drawing four green marbles (X = 4) is given by:

First, we draw a green marble with a probability 4/6

second, we draw a green marble with a probability 3/5

third, we draw a green marble with a probability 2/4

fourth, we draw a green marble with a probability 1/3

Finally, we draw a red marble with a probability 2/2 = 1

The joint probability is:

P(4) = (4/6)*(3/5)*(2/4)*(1/3)*1 = (1/5)*(1/3) = 1/15

Then the probability distribution is:

P(0) = 1/3

P(1) = 4/15

P(2) = 1/5

P(3)  = 2/15

P(4) = 1/15

The expected value will be:

EV = 0*P(0) + 1*P(1) + 2*P(2) + 3*P(3) + 4*P(4)

EV = 1*(4/15) + 2*( 1/5) + 3*( 2/15) + 4*(1/15 ) = 1.33

So we can expect to draw 1.33 green marbles in this experiment.

5 0
3 years ago
Solve for x:<br><br>− 10x + 4 = − 7x − 14 −7x −14<br><br><br>PLEASE HELP ME!
Elodia [21]

Step-by-step explanation:

-10x + 4 = -7x - 14 - 7x - 14

-10x + 4 = -14x - 28

4x = -32

x = -8.

7 0
3 years ago
Read 2 more answers
Jonah knows that mr. Robinson needs 14 tablets for a week supply of anti-inflammatory drug mr. Robinson is going on vacation and
Flura [38]

<em>Answer:</em>

<em> 56 tablets</em>

<em>Step-by-step explanation:</em>

Jonah knows that Mr. Robinson needs 14 tablets for a week's supply of an anti-inflammatory drug.

<em>Mr. Robinson is going on vacation and needs a 4-week supply.  </em>

<em>So </em><u><em>multiplying 4 with the weekly supply</em></u><em> will yield the required result.  </em>

So, number of tablets Jonia needs to fill is,

=4\times 14

=56

<em>Therefore, Jonah needs </em><u><em>56 tablets</em></u><em> in order to fill his prescription</em>

6 0
3 years ago
5,7,9,11 12th term pls help
skad [1K]

Answer:

27

Step-by-step explanation:

5,7,9,11. ....

This is an arithmetic sequence.

First term = a₁ = 5

Common difference = d = second term - first term = 7 - 5 = 2

nth term = a₁ + (n-1)*d

12th term = 5 + (12 - 1) * 2

                = 5 + 11*2

                = 5 + 22

                = 27

5 0
2 years ago
Read 2 more answers
22,500,000 is what percent of 90,000,000
sveta [45]

Answer:

25%

Step-by-step explanation:

Mark as Brainllest

6 0
3 years ago
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