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professor190 [17]
3 years ago
5

Can you help me with this problem 7y-2(8y+1)=4

Mathematics
1 answer:
Wewaii [24]3 years ago
3 0

Answer:

y=-2/3

7y-16y-2=4

7y-16y=6

-9y=6

-y=6/9

simplify

y=-2/3

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A particular state has elected both a governor and a senator. Let A be the event that a randomly selected voter has a favorable
Elodia [21]

Answer:

Step-by-step explanation:

Given that A be the event that a randomly selected voter has a favorable view of a certain party’s senatorial candidate, and let B be the corresponding event for that party’s gubernatorial candidate.

Suppose that

P(A′) = .44, P(B′) = .57, and P(A ⋃ B) = .68

From the above we can find out

P(A) = 1-0.44 = 0.56

P(B) = 1-0.57 = 0.43

P(AUB) = 0.68 =

0.56+0.43-P(A\bigcap B)\\P(A\bigcap B)=0.30

a) the probability that a randomly selected voter has a favorable view of both candidates=P(AB) = 0.30

b) the probability that a randomly selected voter has a favorable view of exactly one of these candidates

= P(A)-P(AB)+P(B)-P(AB)

=0.99-0.30-0.30\\=0.39

c) the probability that a randomly selected voter has an unfavorable view of at least one of these candidates

=P(A'UB') = P(AB)'

=1-0.30\\=0.70

3 0
3 years ago
In the Minnesota Northstar Cash Drawing, you pick five different numbers between 1 and 35. What is the probability of picking th
maw [93]

Answer:

\frac{1}{324632} probability of picking the winning combination

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Since the order is not important, the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

The correct five numbers from a set of 5. So

D = C_{5,5} = \frac{5!}{5!0!} = 1

Total outcomes:

Five numbers from a set of 35. So

T = C_{35,5} = \frac{35!}{5!30!} = 324632

Probability:

p = \frac{D}{T} = \frac{1}{324632}

\frac{1}{324632} probability of picking the winning combination

5 0
2 years ago
2x 5 The area of the rectangle shown is given by the function A()- 2 -5x lfthe width of the rectangle is 13, then the area is 42
PIT_PIT [208]
If you let x = 13:
     Then, Area = 2(13)^2 - 5(13)
                        = 338 - 65
                        = 273 sq ft

If you let 2x-5 = 13:
                  2x = 18
                    x = 6
 
     Then, Area = 2(6)^2 - 5(6)
                        = 72 - 30
                        = 42 sq ft

Therefore, your options are A or C. Your answer can be chosen based on what you assume the width to be. Good luck!

7 0
3 years ago
Lyla is playing a game in math class where the students describe a number they are thinking of and the class uses clues to deter
Lapatulllka [165]

Answer:

1 or 3 sorry if wrong

Step-by-step explanation:

8 0
3 years ago
What is two times a number n is three times the sum of n and nine
Nonamiya [84]
2n=3(n+9)
2n=3n+27

n = -27
5 0
3 years ago
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