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ser-zykov [4K]
2 years ago
6

A number cube with faces labeled 1 to 6 is rolled once. The number rolled will be recorded as the outcome. Consider the followin

g events.
Event A: The number rolled is less than 5.
Event B: The number rolled is even.
Mathematics
2 answers:
timofeeve [1]2 years ago
8 0

Answer:

When a Die is rolled once possible outcomes are={1,2,3,4,5,6}=6

→ Favorable Outcome , the number rolled is less than 5={1,2,3,4}=4

 Probability of number getting less than 5 will be

           =\frac{\text{Total Favorable Outcome}}{\text{Total Possible outcome}}\\\\=\frac{4}{6}\\\\=\frac{2}{3}

→ Favorable Outcome , the number rolled is even=Multiple of 2 ={2,4,6}=3

       Probability of Rolling even number is,

           =\frac{\text{Total Favorable Outcome}}{\text{Total Possible outcome}}\\\\=\frac{3}{6}\\\\=\frac{1}{2}

kompoz [17]2 years ago
5 0
Guessing that you are looking for the probability, event a-4:6 even b-3:6
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Simplify the following polynomial expression? (5x^4-9x^3+7x-1)+(-8x^4+4x^2-3x+2)-(-4x^3+5x-1)(2x-7)
Gemiola [76]

Simplify the following polynomial expression:

(5x^4 - 9x^3 + 7x -1) + ( -8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x -1) (2x - 7)

Lets Simplify Your Equation, Step by Step:

(5x^4 - 9x^3 + 7x -1) + ( -8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x -1) (2x - 7)

Solution: ===> 5x^4 − 37x^3 − 6x^2 + 41x − 6 = 0

Distribute:

= 5x^4 + -9x^3 +7x + −1 + −8x^4 + 4x^2 + −3x + 2 + 8x^4 + −28x^3 + −10x^2 + 37x + −7

Combine Like Terms:

= 5x^4 + −9x^3 +7x + −1 + −8x^4 + 4x^2 + −3x + 2 + 8x^4 + −28x^3 + −10x^2 + 37x + −7

= (5x^4 + −8x^4 +8x^4) + (−9x^3 + −28x^3) +(4x^2+ −10x^2) +(7x + −3x + 37x)+(−1 + 2 + −7)

= 5x^4 + −37x^3 + −6x^2 + 41x + − 6

Hence, Answer:

= 5x^4 −37x^3 −6x^2 + 41x − 6 = 0

Hope that helps!!!! : )

4 0
2 years ago
Read 2 more answers
What are the coordinates of the image of point H after a counterclockwise rotation of 180° about the origin?
s344n2d4d5 [400]

To determine the counter clockwise rotation of 180 degree about the origin

When rotating a point 180 degrees counterclockwise about the origin our point H(x,y) becomes H'(-x,-y).

\text{Initial coordinate of H = (-4 , 2)}

From the rotation formula about the origin counterclockwise 180 degree is

\begin{gathered} \text{ Final coordinate of  H}^{^{\prime}}\text{  = (-(-4) , -2)} \\ H^{\prime}\text{ = (4 , -2)} \end{gathered}

Therefore the correct answer is Option A

5 0
10 months ago
In need of help thanks
pogonyaev

Step-by-step explanation:

x = 20

y = 25

z = 24

plz mark my answer as brainlist plzzzz vote me also.

hope this will be helpful to you .

4 0
2 years ago
Read 2 more answers
Henry savings account has an APR of 3.65 percent, calculate interest daily, and pays interest at the end of the month. If during
Kobotan [32]

APR is the annual percentage rate. To get daily percentage rate, we need to divide APR by 365. We have,

daily rate =  3.65/365=0.01 (in percentage). In decimal it is \frac{0.01}{100}=0.0001.

<em>To get total interest, we calculate it accordingly:</em>


  • For first 10 days, he gets daily interest of 0.01% on $300:

300*10*0.0001=0.3

  • For next 10 days, he gets daily interest of 0.02% on $1500:

1200*10*0.0001=1.2

  • For the last 10 days, he gets daily interest of 0.02% on $600:

800*10*0.0001=0.8

Henry's total interest is the sum of these three,

0.3+1.2+0.8=2.3 dollars.


ANSWER: $2.3


7 0
2 years ago
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aivan3 [116]

Answer:

Carla's suitcase was a better purchase.

Step-by-step explanation:

The complete question is:

Carla and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost $85 and was on sale for 20% off the original price. Which suitcase was the cheaper?

Solution:

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        Discount% for Carla = 19%

        The amount paid by Carla is,

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        So, the amount paid by Carla was, $60.75.

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        The amount paid by Jeana is,

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        So, the amount paid by Jeana was, $68.

Carla's suitcase was a better purchase.

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3 years ago
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