Answer:
9
Step-by-step explanation:
To find the slope of a line, calculate the distance between points with a ratio of vertical to horizontal distance. This is done using the formula:

Here the points are (-7,-2) and (-6,7). Substitute and simplify.

Answer:
its 23.76
Step-by-step explanation:
I answered in the comments, but now I answered legit (there was a virus earlier lol)
Answer:
5.93 x 10^4
Step-by-step explanation:
5.93 is the decimal of 5,930,000
there are 4 zeros so it leads to 10 to the 4th power
Answer:
<h2> 2.11¢</h2>
Step-by-step explanation:
We are expected to solve the weighted average price per kilowatt hour.
Step one:
The formula is
W =∑wX/∑w
W=weighted average
w=weights applied to x values
X=data values to be averaged
Step two:
given the total killowatt hour is 1800
the 1st = 500 at 3¢
2nd= 1000 at 2¢
3rd = (1800-1000+500) at 1¢ =(1800-1500) at 1¢ = (300) at 1¢
Step two:
Substituting into the expression we have
W =(500*3)+(1000*2)+(300*1)/500+1000+300
W=1500+2000+300/1800
W=3800/1800
W=2.11¢
The average price per kilowatt hour the utility paid to Mr. Vestas last month is 2.11¢
Answer:
11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Forecast of rain.
Event B: Raining.
In recent years, it has rained only 5 days each year.
A year has 365 days. So

When it actually rains, the weatherman correctly forecasts rain 90% of the time.
This means that 
Probability of forecast of rain:
90% of 0.0137(forecast and rains)
10% of 1 - 0.0137 = 0.9863(forecast, but does not rain)

What is the probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain