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densk [106]
3 years ago
7

Simplify. 2u? - 20u +42 u² – 5u+6

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Answer:

The simplified expression is:

\frac{2(u + 7)}{(u- 2)}

Step-by-step explanation:

We want to simplify:

\frac{2 {u}^{2}  - 20u + 42}{ {u}^{2}  - 5u + 6}

We factor the numerator and the denominator to get:

\frac{2(u - 3)(u + 7)}{(u- 2)(u- 3)}

Cancel out u-2 which is common to the numerator and the denominator yo get:

\frac{2(u + 7)}{(u- 2)}

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Lenny rolls two number cubes. What is the probability that the sum of the numbers Lenny rolls is either 4 or 7?
Mashutka [201]

Probability of an event =


(number of ways the event can happen) / (total number of possible outcomes) .


Well, the total number of possible outcomes is easy. It's


(6 possibilities for the first cube) x (6 possibilities for the 2nd cube)


= 36 total possible ways for two cubes to roll.


Now, how many of those possibilities show either 4 or 7 ?


Well, here's how a 4 can come up:


1 . . . 3

2 . . . 2

3 . . . 1


and here's how a 7 can come up:


1 . . . 6

2 . . . 5

3 . . . 4

4 . . . 3

5 . . . 2

6 . . . 1 .


So there are 9 ways all together for Lenny to be successful.


The probability is (9/36) .


That's 1/4 , or 25% .

7 0
3 years ago
Read 2 more answers
The coordinates of the endpoint of a line segments are -3, -5. The line segment is 11 units long. What are the other possible en
Anettt [7]

Answer:

8, 6.

x=8 y=6

Step-by-step explanation:

-3 + 11 = +8

-5 + 11 = +6

8 0
3 years ago
Read 2 more answers
Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What perce
Alla [95]

Answer:

The percentage is P(350 <  X  650 ) = 86.6\%

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu  =  500

     The standard deviation is  \sigma  =  100

The  percent of people who write this exam obtain scores between 350 and 650    

    P(350 <  X  650 ) =  P(\frac{ 350 -  500}{ 100}

Generally  

               \frac{X -  \mu }{\sigma }  =  Z (The \  standardized \  value \ of  \  X )

   P(350 <  X  650 ) =  P(\frac{ 350 -  500}{ 100}

   P(350 <  X  650 ) =  P(-1.5

   P(350 <  X  650 ) =  P(Z < 1.5) -  P(Z <  -1.5)

From the z-table  P(Z <  -1.5 )  =  0.066807

   and P(Z < 1.5  ) =  0.93319

=>    P(350 <  X  650 ) =  0.93319 -  0.066807

=>  P(350 <  X  650 ) = 0.866

Therefore the percentage is  P(350 <  X  650 ) = 86.6\%

3 0
3 years ago
Write the expression in complete factored form <br><br> 3p^2(q+3)-4(q+3)
Tresset [83]
If you factored this the outcome would be,

(q+3)(3p^2-4)
6 0
3 years ago
Find the mean of the data in the bar chart below. ​
vladimir2022 [97]
Mean= (5+6+5+6+9)/5= 7.2 coins

Explanation: The mean is the average of a data set. Add the numbers from the data set and divide by how many numbers.
3 0
2 years ago
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