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Virty [35]
3 years ago
8

Determine the slope of the line that contains the points A(0, 2) and B(7,3). *

Mathematics
1 answer:
IgorC [24]3 years ago
5 0

<h3><u>Given</u><u> </u><u>points</u><u>:</u><u>-</u></h3>
  • A (0,2)
  • B (7,3)

We know that

{\boxed{\sf Slope_{(m)}=\dfrac {y_2-y_1}{x_2-x_1}}}

  • Substitute the values

\qquad\quad {:}\longrightarrow\tt m=\dfrac {3-2}{7-0}

\qquad\quad {:}\longrightarrow\tt m=\dfrac {1}{7}

\therefore \sf Slope\:of\:the\:line\:is\:\dfrac {1}{7}

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A radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard dev
zimovet [89]

Answer:

Z = 3.33

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 13, \sigma = 1.2

You listen to the radio station for 1​ hour, at a randomly selected​ time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the​ z-score for this amount of advertising time.

We have to find Z when X = 17. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{17 - 13}{1.2}

Z = 3.33

5 0
3 years ago
Find an equation of the line having the given slope and containing the given point.
mart [117]

Answer:

y=8x-69

Step-by-step explanation:

you would use the equation y-y1 = m (x - x1)

plug in m = 8 , y1 = 3, x1 = 9

now you have y - 3 = 8 (x-9)

distribute 8 --> y-3 = 8x - 72

add three to both sides to get y = 8x - 69

6 0
3 years ago
Please help me with my hw
stellarik [79]
Part 2 is 12.5 cm represents 5km
I worked this out by doing a ratio
5cm=2km
?cm=5km
you have to do 2 times 2.5 to get 5km so you do 5 times 2.5 to get 12.5cm
so the answer is that 12.5cm
6 0
3 years ago
If (42)^p = 41^4, what is the value of p?
babymother [125]

First you need to make both bases the same:

Lets remove the ^p and ^4

To make the base of 42 equal to 41, you would have 41^x = 41

X - ln(42) / ln(41) = 1.00648904


Now you have 41^1.00648904(p) = 41^4


Now the bases are equal so we need to set the exponents to equal:

1.00648904(p) = 4

Divide both sides by 1.00648904 to solve for P

P = 4 / 1.00648904

P = 3.97421114

4 0
4 years ago
Use the figure to find measures of the numbered angles.
zysi [14]
1 - 113 degrees

2 - 67 degrees

3 - 67 degrees

4 - 113 degrees












Hope this helped :)
5 0
3 years ago
Read 2 more answers
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