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myrzilka [38]
1 year ago
10

Need help pleaseI was bad at math in school so lwant to learn

Mathematics
1 answer:
aleksklad [387]1 year ago
8 0

The probability of an event is expressed as

Pr(\text{event) =}\frac{Total\text{ number of favourable/desired outcome}}{Tota\text{l number of possible outcome}}

Given:

\begin{gathered} \text{Red}\Rightarrow2 \\ \text{Green}\Rightarrow3 \\ \text{Blue}\Rightarrow2 \\ \Rightarrow Total\text{ number of balls = 2+3+2=7 balls} \end{gathered}

The probability of drwing two blue balls one after the other is expressed as

Pr(\text{blue)}\times Pr(blue)

For the first draw:

\begin{gathered} Pr(\text{blue) = }\frac{number\text{ of blue balls}}{total\text{ number of balls}} \\ =\frac{2}{7} \end{gathered}

For the second draw, we have only 1 blue ball left out of a total of 6 balls (since a blue ball with drawn earlier).

Thus,

\begin{gathered} Pr(\text{blue)}=\frac{number\text{ of blue balls left}}{total\text{ number of balls left}} \\ =\frac{1}{6} \end{gathered}

The probability of drawing two blue balls one after the other is evaluted as

\begin{gathered} \frac{1}{6}\times\frac{2}{7} \\ =\frac{1}{21} \end{gathered}

The probablity that none of the balls drawn is blue is evaluted as

\begin{gathered} 1-\frac{1}{21} \\ =\frac{20}{21} \end{gathered}

Hence, the probablity that none of the balls drawn is blue is evaluted as

\frac{20}{21}

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Use Synthetic Division to divide 6x^3-10x^2+20 by x+1<br><br> Quotient:_____<br><br> Remainder:_____
exis [7]

Answer:

the quotient is 6x^2 - 16x + 16, and the remainder is just 4

Step-by-step explanation:

The polynomial 6x^3-10x^2+20 has coefficients {6, -10, 0, 20}.  Division by the binomial x + 1 requires that we use -1 as the divisor.  The synthetic division setup becomes:

-1   /    6    -10    0    20

                 -6    16   -16

     -----------------------------

          6     -16   16       4

Taking the coefficients {6, -16, 16}, we write the quotient as

6x^2 - 16x + 16, and the remainder as just 4.

6 0
3 years ago
Solve to find the value for x in the linear equation: 3(−4x + 5) = 12.
gtnhenbr [62]

Answer:

x=4

Step-by-step explanation:

3(-4x+5)=12

3(-4x) + 3(5)=12

-12x+15=12

<u> -15</u><u>=-15</u>

-12x=-3

-x = -4

Since your x is negative change the signs

8 0
3 years ago
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What is the nth derivative of sin^3x?
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3 years ago
The value in dollars,v(x),of a certain truck after x years is represented by the equation v(x)=32,500(0.92)^x.To the nearest dol
Vika [28.1K]

Answer: $2193

Step-by-step explanation:

v(x) = 32,500(.92)^{x}

Plug two and three in for x

v(2) = 32,500(.92)^{2}

v(2) = 32,500(.8464)

v(2) = 27,500

v(3) = 32,500(.92)^{3}

v(3) = 32,500(.778688)

v(3) = 25,307.36

Subtract v(3) from v(2)

27,500 - 25,307.36 = 2192.64

Round to the nearest dollar to get $2193

7 0
4 years ago
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adoni [48]

Answer:

120 degrees.

Step-by-step explanation:

All the angles in a triangle add up to 180. You have two of the angles given:

50 degrees and 70 degrees

To find the third angle of the triangle (BAC), use the expression:

180 - (50 + 70)

180 - 120

60

So, the third angle in the triangle is 60 degrees. Looking at angle DAB, you can see that it forms a straight line with angle BAC. A straight line is 180 degrees. Since we know BAC is 60, and BAC + DAB = 180, by doing 180 - 60, you can see that angle DAB is 120 degrees.

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