Answer:
∠MON = 57°
Step-by-step explanation:
∠LOM + ∠MON = ∠LON ← substitute values
3x + 20 + 2x + 33 = 113, that is
5x + 53 = 113 ( subtract 53 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
Hence
∠MON = 2x + 33 = (2 × 12) + 33 = 24 + 33 = 57°
Answer:
There were 333 seniors in 1990
153 seniors had jobs in 2010.
Step-by-step explanation:
Let the number of high school seniors in 1990 = x
75% of x had jobs in 1990
In 2010 there were 50 more seniors. That is, the number of seniors is x+50.
40% of (x+50) had jobs in 2010.
Total number of jobs in both years = 403.
\[0.75 * x + 0.4 * (x + 50) = 403\]
\[0.75 * x + 0.4 * x + 20 = 403\]
=> \[1.15 * x = 403 - 20\]
=> \[1.15 * x = 383\]
=> \[x = 383/1.15\]
=> \[x = 333\]
Number of seniors having job in 2010 = 0.4 * (333 + 50) = 0.4 * 383 = 153.2 = 153(approx)
Answer:
The temperature decreased by 9 °F in <u>6 days.</u>
Step-by-step explanation:
Let the number of days it takes for the temperature to decrease by 9 °F be 
.
Given:
Average daily temperature decreases by 
°F.
Decrease of temperature in 1 day = = 1.5 °F.
∴ Decrease in temperature in x days is 
.
Now, as per question, decrease in temperature in 'x' days is 9 °F.
Therefore, 
Therefore, the temperature decreased by 9 °F in 6 days.
Answer:
R-Squared
Step-by-step explanation:
In a simple linear regression model, R-Squared or R² represents the proportion or percentage of the variation of dependent variable, explained by an independent variable or variables.
In simple terms, it is a measure of how well the variation of one variable explains the variation of the other.
Answer:Simple volume equation: V=bwh
b=36, w=20, h=4
Just multiply them together to get 2,880.
So the answer is 2,880 cubic feet of water
Hope this helped :)
Step-by-step explanation:
