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ad-work [718]
3 years ago
5

Evaluate the expression: 6x + 5 - 3y, when y = 3 and x = -2

Mathematics
1 answer:
frozen [14]3 years ago
7 0
First you need to substitute x for -2 and y for 3 in the equation.
So it would be...
6(-2) + 5 - 3(3)
-12+5-9
Then your answer is -16.
Hope that helped!

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It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citiz
Alla [95]

Answer:

a) 0.71

b) 0.06

Step-by-step explanation:

We solve using Baye's Theorem

It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

We have Two events

A and B

Events A = 88% of senior citizens suffer from sleep disorders

P(A) = 0.88

Event B = 7% suffer from anxiety

P(B) = 0.07

Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

P(A and B) = 0.05

a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(B)

= 0.05/0.07

= 0.7142857143

Approximately = 0.71

B) Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(A)

= 0.05/0.88

= 0.0568181818

Approximately = 0.06

7 0
2 years ago
In a quiz contest, 4 marks were awarded for a correct answer and -2 marks were given for an incorrect answer. If James gave 5 in
Zina [86]

9514 1404 393

Answer:

  10

Step-by-step explanation:

For c correct answers and 5 incorrect answers, James's score is ...

  4c -2(5) = 30

  4c = 40 . . . . . . add 10

  c = 10 . . . . . . . . divide by 4

James gave 10 correct answers.

4 0
3 years ago
Read 2 more answers
Function f is an exponential function.
anyanavicka [17]
If the 316 is supposed to be 3/16 and the 34 is supposed to be 3/4, then your answer is 2. 


4 0
3 years ago
Read 2 more answers
If 2x+20 and 3x+20 makes a straight angke find value of x​
erma4kov [3.2K]

Answer:

x = 28

Step-by-step explanation:

The sum of the angles in a straight angle = 180°

Sum the angles and equate to 180

2x + 20 + 3x + 20 = 180

5x + 40 = 180 ( subtract 40 from both sides )

5x = 140 ( divide both sides by 5 )

x = 28

3 0
3 years ago
2x° + 14°<br> 60°<br> X=<br> degrees.
pickupchik [31]
2x+14=60(vertical)
2x=46
x=23
4 0
3 years ago
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