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ale4655 [162]
3 years ago
5

The description below represents Function A and the table represents Function B:

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0
The expression in A is equal to: 
                      y = 8 + 3x
It can be observed that the equation is in the slope-intercept form which is equal to,
                     y = mx + b
where m is slope and b is intercept.

The slope and intercept therefore of this equation of the line are equal to 3 and 8, respectively.

For Part B:
 The slope of the line can be calculated through the equation,
                           m = (y₂ - y₁) / (x₂ - x₁)
Substituting,
                           m = (5 - 2)/ (0 - -1) = 1.5

The intercept, b, is the value of y when x = 0. From the tabulation, y = 5 when x = 0. Thus, the intercept is equal to 5.

Comparing the slopes and intercepts of the equations, we can say that the slope of the second is only half that of the first and the intercept of the second is 3 less than that of the first equation. 
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Office #1   The average distance to work is less in Office #1 than #2.

6 0
3 years ago
6. Carlos flips a coin 80 times, then rolls a number cube 80 times. His results are shown in the tables below.
belka [17]
<h3>Answer:   Choice C)    9/100</h3>

=======================================================

Explanation:

We have these two events

  • A = the coin lands on tails
  • B = the number cube (aka dice) lands on '2'

The experimental (aka empirical) probabilities of each are

  • P(A) = 36/80 = 9/20
  • P(B) = 16/80 = 1/5

Note how P(A) is not 1/2 like we expect; however it's fairly close because 9/20 = 0.45 while 1/2 = 0.5 in slight contrast. The experimental probability never 100% lines up with the theoretical probability, but will get closer as you do more trials (due to the law of large numbers). A similar situation happens with P(B). The theoretical probability would be P(B) = 1/6 = 0.1667

Events A and B are independent, which allows us to multiply the probabilities:

P(A and B) = probability of getting tails and rolling a '2'

P(A and B) = P(A)*P(B)

P(A and B) = (9/20)*(1/5)

P(A and B) = (9*1)/(20*5)

P(A and B) = 9/100 which points the answer to choice C

--------------

Slight alternative method:

P(A and B) = P(A)*P(B) = (36/80)*(16/80) = 0.09 = 9/100

this method involves typing (36/80)*(16/80) into your calculator.

5 0
3 years ago
Plot and connect the points A (-4, -5), B (-2, -3), C (4, -3), D (6, -2), E (6, 6), F (-1, 6), G (-4, 2), and find the length of
eimsori [14]

Answer:

The length <u>EF</u> is 7 units.

Step-by-step explanation:

The length between the points E and F, using the plot below, is:

\bar{EF}=7\: u

Therefore the <u>length EF is 7 units.</u>

I hope it helps you!

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3 years ago
Write theFraction as a sum of fractions three different ways 6/6
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HI!

3/6 + 3/6

1/6 + 5/6

2/6 + 4/6

Hope this helps ya out fam!

Brainliest?

~theLocoCoco

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4 years ago
The reciprocal of a fraction must be found to solve the problem. What is the reciprocal fraction that is required?
kolezko [41]
6/31 is the answer for your question.
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