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Llana [10]
3 years ago
11

Lydia is a project manager and submitted proposals for two different projects, Project X and Project Y to her boss. The probabil

ity of getting project X approved is 0.65. The probability of getting project Y approved is 0.77. The probability of getting at least one of the projects approved 0.90. The two projects are independent.
a. True
b. False
Mathematics
1 answer:
mixer [17]3 years ago
5 0

Answer:

b. False

Step-by-step explanation:

P(X & Y) = 0.77 + 0.65 - 0.9 = 0.52

P(X) × P(Y) = 0.65×0.77 = 0.5004

Since P(X&Y) and P(X)×P(Y) are not equal, they are not independent

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Find the center and radius of the circle with the equation (x+5)^2+(y-2)^2=25
chubhunter [2.5K]

Answer:The center is (-5,2)

The radius is 5

Step-by-step explanation:

Equation of a circle is:

(x-h)^2+(y-k)^2=r^2

(x+5)^2+(y-2)^2=5^2

Comparing both equations we get :

The center (-5,2)

The radius is 5

8 0
3 years ago
Help please it’s urgent !
oksian1 [2.3K]

Answer:

shade in-between the 0 and the 8 with open circles on each number

Step-by-step explanation:

8 0
3 years ago
The sum of two polynomials is 8d^5-3c^3d^2+5c^2d^3-4CD^4+9. If one added is 2d^5-c^3d^4+8CD^4+1, what is the other added
insens350 [35]

Answer:

6d^5 - 3c^3d^2 + 5c^2d^3 + c^3d^4 - 12cd^4 + 8

Step-by-step explanation:

We need to subtract the given polynomial from the sum:-

8d^5 - 3c^3d^2 + 5c^2d^3 - 4cd^4 + 9 - (2d^5 - c^3d^4 + 8cd^4 +1 )

We need to distribute the negative over the parentheses:-

= 8d^5 - 3c^3d^2 + 5c^2d^3 - 4cd^4 + 9 - 2d^5 + c^3d^4 - 8cd^4 -1

Bringing like terms together:

= 8d^5 - 2d^5 - 3c^3d^2 + 5c^2d^3  + c^3d^4 - 4cd^4 - 8cd^4 + 9  

- 1

Simplifying like terms

=  6d^5 - 3c^3d^2 + 5c^2d^3 + c^3d^4 - 12cd^4 + 8  


8 0
3 years ago
A company pays its employees a fixed base salary and a commission based on sales. The scatter plot below shows the total earning
Monica [59]

I'm assuming the question is

A company pays its employees a fixed base salary and a commission based on sales. The scatter plot shows the total earning of an employee of the company (y) based on sales (x):

Plot the ordered pairs 0, 10 and 100, 20 and 200, 30 and 300, 40 and 400, 50 and 500, 60

Which function best represents the data in the scatter plot? (1 point)

y = 0.1x + 10

y = 0.1x − 10

y = 0.1x + 1

y = 0.2x − 1

So thus your answer would be y = 0.1x + 10

5 0
3 years ago
How many solutions does the following equation have 3(X + 9) = 2x + 54
kotykmax [81]

Answer:

One solution.

Step-by-step explanation:

3(x + 9) = 2x + 54

3x + 27 = 2x + 54

3x + 27 - 2x = 2x + 54 - 2x

x + 27 = 54

x + 27 - 27 = 54 - 27

x = 27

8 0
3 years ago
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