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7nadin3 [17]
3 years ago
11

(2a+1) - 4a(2a+1)+4a

Mathematics
2 answers:
maxonik [38]3 years ago
6 0

Answer:

2a (3-4a)

Step-by-step explanation:

(2a+1)-4a(2a+1)+4a

2a+1-8a²-1+4a

= 2a+4a-8a²

=6a-8a²

= 2a(3-4a)

Molodets [167]3 years ago
5 0

Answer:

Step-by-step explanation:

Use distributive property: a*(b+c) = (a*b) + (a*c)

-4a*(2a + 1) = -4a*2a + 1*(-4a)

                  = -8a² - 4a

2a + 1 - 4a(2a + 1) + 4a = 2a + 1 - 8a² - 4a + 4a

                                    = 2a + 1 - 8a²

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The percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives and mi
tiny-mole [99]

Corrected Question

a. Develop a probability distribution for the job satisfaction score of a senior executive.

b. Develop a probability distribution for the job satisfaction score of a middle manager.

c. What is the probability a senior executive will report a job satisfaction score of 4 or 5?

d. What is the probability a middle manager is very satisfied?

Answer:

(c)0.83

(d)0.28

Step-by-step explanation:

The percent frequency distributions of job satisfaction scores os give below:

\left|\begin{array}{c|c|c}$Job Satisfaction Score&$IS Senior Executives(\%)&$IS Middle Managers(\%)\\1&5&4\\2&9&10\\3&3&12\\4&42&46\\5&41&28\end{array}\right|

(a)Probability distribution for the job satisfaction score of a senior executive.

\left|\begin{array}{c|c}$Job Satisfaction Score&$Relative Frequency (f_1(x))\\------&------\\1&0.05\\2&0.09\\3&0.03\\4&0.42\\5&0.41\end{array}\right|

(b)Probability distribution for the job satisfaction score of a middle manager.

\left|\begin{array}{c|c}$Job Satisfaction Score&$Relative Frequency (f_2(x))\\1&0.04\\2&0.10\\3&0.12\\4&0.46\\5&0.28\end{array}\right|

(c)Probability a senior executive will report a job satisfaction score of 4 or 5

P(a senior executive will report a job satisfaction score of 4 or 5)

=f_1(4)+f_1(5)\\=0.42+0.41\\=0.83

(d)Probability a middle manager is very satisfied

The probability a middle manager is very satisfied

=f_2(5)\\=0.28

7 0
3 years ago
Please help with Volume
Archy [21]

Given:

Length of the cuboid tank = 4 m

Breadth = 2.5 m

Height = 2.4 m

One third of the tank is filled with water.

1 cubic meter = 1000 liters.

To find:

The quantity of the water in the tank.

Solution:

Volume of a cuboid is:

V=l\times b\times h

Where, l is length, b is breadth and h is the height.

The volume of the tank is :

V=4\times 2.5\times 2.4

V=24

Volume of tank is 24 cubic meter.

One third of the tank is filled with water. So, the volume of the water is

\dfrac{24}{3}=8

The volume of water is 8 cubic meters.

We have,

1 cubic meter = 1000 liters.

8 cubic meter = 8000 liters.

Therefore, the quantity of the water in the tank is 8000 liters.

5 0
3 years ago
You earn $5 for every driveway you shovel in a snowstorm. How many driveways do you need to shovel to earn $65?
Aleksandr [31]

Answer:

13

Step-by-step explanation:

65 divided by 5

7 0
3 years ago
Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begi
Zigmanuir [339]
Bro I’m rly sorry but I don’t know the answer to this
3 0
2 years ago
5 magazines and 3 books cost $41.50. 2 magazines and 5 books cost $42.25. Find the cost of each item.
WINSTONCH [101]

Answer:

The Magazines each costed $8.30 and the books cost $13.80 for the amount of $41.50. and the 2 magazines and 5 books for $42.25 the 2 magazines is $21.12 for each and $8.45 for each book.

Step-by-step explanation:I got the answers by taking the total cost and taking the number of books or if it was a a magazine and I would divide it by lets just say you have 42.25 dollars you would divide that by 3 and you would do it for every item with the total cost.

6 0
3 years ago
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