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katen-ka-za [31]
3 years ago
11

X/15+1/5<2/5 solve for x. Show all work.

Mathematics
2 answers:
Nitella [24]3 years ago
5 0
X=3 is the answer I think
Len [333]3 years ago
4 0
Subtract 1/5 on both sides.

x/15<1/5

To make x on its own, we will then multiply 15 on both sides.

15/1 multiplied by 1/5 is 15/5

15/5 simplifies to 3.

x/15 multiplied by 15 is x.

x < 3
 
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Pick two cards at random from a well-shuffled deck of 52 cards (pick them simultaneously so they are not the same card). There a
Scrat [10]

Answer:

The variables X and Y are dependent.

Step-by-step explanation:

The variable <em>X</em> denotes number of face cards . That is it can take values,

<em>X</em> = {0, 1, 2 }

Compute the probability for all he values of <em>X</em> as follows:

P [X = 0] = P (None of the 12 card is chosen in either draw)

              = (40/52)×(39/51)

              = 1560/2652

              = 0.5882

P [X = 1] = P (One of the card is face card is selected)

              = 2×(40/52)×(12/51)

              = 960/2652

              = 0.3619

P [X = 2] = P (Two of the 12 card is chosen in the draw)

              = (12/52)×(11/51)

              = 132/2652

              = 0.0498

The variable <em>Y</em> denotes number of cards numbered 10 . Thus, it can take values:

<em>Y</em> = {0, 1, 2 }

P [Y = 0] = P (None of the 4 card is chosen in either draw)

              = (48/52)×(47/51)

              = 2256/2652

              = 0.8507

P [Y = 1] = P (One of the 4 card is chosen in either draw)

              = 2×(4/52)×(48/51)

              = 384/2652

              = 0.1448

P [Y = 2] = P (Two of the 4 card is chosen in the draw)

              = (4/52)×(3/51)

              = 12/2652

              = 0.0045

Now compute the probability of (<em>X</em> and <em>Y</em>).

P [X = 0 and Y = 0] = P(None of the 16 card is chosen in either draw)

                              = (36/52)×(35/51)

                              = 1260/2652

                              = 0.4751

The variables <em>X</em> and <em>Y</em> are independent if,

P [X = 0 and Y = 0]  = P [X = 0] × P [Y = 0]

                               =  P [X = 0] × P [Y = 0]

                               = 0.8507 × 0.5882

                               = 0.5204

The two values are not equal.

Hence, the variables X and Y are not independent.

7 0
3 years ago
Can somebody give me the answer
kobusy [5.1K]
No, mistake at s2, if there was 0x then they shouldn’t have written anything at all because there are 0 x’s!!!
3 0
2 years ago
Solve this question and help save my life!
vlada-n [284]

The next two term is 13 and 16 respectively.

Step-by-step explanation:

here,

a1 = -2

a2 = 1

a3 = 4

a4 = 7

a5 = 10

So, d = <u>a2 - a1</u> = 1 - (-2) = 3

= <u>a3 - a2</u> = 4 - 1 = 3

Here, <u>Common difference</u> is <u>same everywhere</u> and the value of d is 3

Then,

<em>To find 6th term of this sequence</em>

<u>a6 = a5 + d</u>

= 10 + 3

a6 = 13

<em>To find </em><em>7</em><em>t</em><em>h term of this sequence</em>

<u>a7 = a6 + d</u>

= 13 + 3

a7 = 16

Thus, The next two term is 13 and 16 respectively.

-<u>T</u><u>h</u><u>e</u><u>U</u><u>n</u><u>k</u><u>n</u><u>o</u><u>w</u><u>n</u><u>S</u><u>c</u><u>i</u><u>e</u><u>n</u><u>t</u><u>i</u><u>s</u><u>t</u>

7 0
2 years ago
Pentagon ABCDE ~ Pentagon FGHIJ. If CD=14, DE=19, and IJ=42, what is the length of HI.
xz_007 [3.2K]

It is going to be 41

5 0
3 years ago
What is the value of x in this equation: 4x + 5 = 3x + 4? Solve the equation using the algebra tiles. x =
Leno4ka [110]

Answer:

Solution of the equation 4x + 5 = 3x + 4 is:

x= -1

Step-by-step explanation:

We are given a equation:

4x + 5 = 3x + 4

We have to solve the equation for x

4x+5=3x+4

subtracting both sides by 4

4x+5-4=3x+4-4

4x+1=3x

subtracting both sides by 4x

4x|+1-4x=3x-4x

1= -x

⇒ x= -1

Hence, solution of the equation 4x + 5 = 3x + 4 is:

x= -1

5 0
3 years ago
Read 2 more answers
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