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rodikova [14]
3 years ago
5

Francisco makes $11 per hour doing part time work on Saturdays. He spends $3 on transportation to and from work. The equation y

= 11x - 3 gives his earnings y, after transportation costs, for working x hours. Complete the table of values for this situation.
x=2
x=3
x=4
x=5
Mathematics
2 answers:
Otrada [13]3 years ago
4 0
You want to plug each x value into the equation to complete the table of values. The x variable represents how many hours he worked

y=11(2)-3=19
y=11(3)-3=30
y=11(4)-3=41
y=11(5)-3=52

Hope this helps!
ludmilkaskok [199]3 years ago
3 0

Answer:

x=4

Step-by-step explanation:

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Lines AC and ED intersect at point B. If the m∠ABD = 5x - 5 and the m∠EBC = 3x + 15, ∠ABD and ∠EBC are what kind of angles?
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If Lines AC and ED intersect at point B, then ∠ABD and ∠EBC are vertically opposite angles

The point where two lines meet is known as an angle.

If line Lines AC and ED intersect at point B, then ∠ABD and ∠EBC will be vertically opposite to each other (They will be equal).

To show that the are equal

Given the angles

m∠ABD = 5x - 5

m∠EBC = 3x + 15

m∠ABD = m∠EBC (vertical angles)

5x - 5 = 3x + 15

5x - 3x = 15 + 5

2x = 20

x = 10

Substitute x = 10 into m∠ABD and m∠EBC

m∠ABD = 5x - 5

m∠ABD = 5(10)-5

m∠ABD = 50 - 5

m∠ABD = 45

Get m∠EBC

m∠EBC = 3x+15

m∠EBC = 3(10)+15

m∠EBC  = 30+15

m∠EBC  = 45 degrees

We can see that both angles are equal. Hence we can also conclude that they are vertically opposite angles

Learn more here: brainly.com/question/23466343

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Answer:

17.80% probability that all of them are wearing their seat belts.

Step-by-step explanation:

For each driver stopped, there are only two possible outcomes. Either they are wearing their seatbelts, or they are not. The drivers are chosen at random, which mean that the probability of a driver wearing their seatbelts is independent from other drivers. So we use the normal probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

Police estimate that​ 25% of drivers drive without their seat belts.

This means that 75% wear their seatbelts, so p = 0.75

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This is P(X = 6).

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