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insens350 [35]
3 years ago
13

3. A number between 30 and 50 is chosen at random. What's the probability that the

Mathematics
1 answer:
Alinara [238K]3 years ago
6 0

Answer:

0.5789

Step-by-step explanation:

The successful events would be 34 , 40 41  42 43 44 45 46 47 48 49

The total number of ways 19 when you count from 31 to 49

P(1 four) = 11/19 = 0.5789

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4x²-19x-5=-43x-41
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8 0
3 years ago
What is the quotient: (6x4 + 15x3 + 10x2 + 10x + 4) ÷ (3x2 + 2)?
Kryger [21]

Answer:  Option 'C' is correct.

Step-by-step explanation:

Since we have given that

\frac{\left(6x^4+15x^3+10x^2+10x+4\right)}{\left(3x^2+2\right)}

Now, we will find the quotient by factoring the numerator:

\mathrm{Use\:the\:rational\:root\:theorem}\\a_0=4,\:\quad a_n=6\\\\\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:4,\:\quad \\\mathrm{The\:dividers\:of\:}a_n:\quad 1,\:2,\:3,\:6\\\\\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:4}{1,\:2,\:3,\:6}\\\\-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2\\\\=\left(x+2\right)\frac{6x^4+15x^3+10x^2+10x+4}{x+2}\\\\=\frac{6x^4+15x^3+10x^2+10x+4}{x+2}=6x^3+3x^2+4x+2\\\\

Now, we will factor it again:

=\left(6x^3+3x^2\right)+\left(4x+2\right)\\\\=2\left(2x+1\right)+3x^2\left(2x+1\right)\\\\=\left(2x+1\right)\left(3x^2+2\right)

At last we get our factorised form :

=\left(x+2\right)\left(2x+1\right)\left(3x^2+2\right)\\\\=\frac{\left(x+2\right)\left(2x+1\right)\left(3x^2+2\right)}{3x^2+2}\\\\=\left(x+2\right)\left(2x+1\right)\\\\=2x^2+5x+2

Hence, Option 'C' is correct.

4 0
3 years ago
Read 2 more answers
How do you do this question
ella [17]

Answer:


Step-by-step explanation:


5 0
3 years ago
What is an expression for the distance between the origin and a point P(x,y)
kirza4 [7]

Answer:

d =  \sqrt{ {x}^{2}  +  {y}^{2} }

Step-by-step explanation:

Distance between origin (0, 0) and point (x, y) is given as:

d =  \sqrt{ {(x - 0)}^{2}  +  {(y - 0)}^{2} }  \\  \\ \red{ \bold{ d =  \sqrt{ {x}^{2}  +  {y}^{2} } }}

5 0
2 years ago
( 5.6 - 1.2 ) times 1/3 =
vladimir1956 [14]

Answer:

4.4* 1/3

4.4= 4 and 4/10 so 44/10*1/3= 44/30= 22/15

22/15

Step-by-step explanation:

6 0
3 years ago
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