Answer:
Point B = (-8 , -2) ⇒ the second answer
Step-by-step explanation:
∵ The figure ABCD is reflected across the x-axis
∴ The sign of y-coordinates of each point will change
Ex: If the point (x , y) reflected across the x-axis
its image will be (x , -y)
∵ B' = (-8 , 2)
∴ B = (-8 , -2) ⇒ the second answer
30.
3/4 is equal to 75%, so take 75% of 40 by multiplying .75 by 40 to get 30
Answer:
9:29 PM
Step-by-step explanation:
Let us add the number of minutes the first act, interval and second act lasted:
46 + 20 + 53 = 119 minutes
Converting this to hours and minutes:
60 minutes = 1 hour
119 minutes = 1 hour 59 minutes
Therefore, the time that the second act ends is:
H M
7 : 30 PM
+ <u> 1 : 59</u>
<u> 9 : 29 </u>
<u />
The second act will end by 9:29 PM
Answer:
99.7% of the distribution will be between 600 hours and 900 hours.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 750
Standard deviation = 50
What percent of the distribution will be between 600 hours and 900 hours?
600 = 750 - 3*50
600 is 3 standard deviations below the mean
900 = 750 + 3*50
900 is 3 standard deviations above the mean
By the Empirical Rule, 99.7% of the distribution will be between 600 hours and 900 hours.
Answer:
4 Hours
Step-by-step explanation:
we will set up two linear equations first by taking the initial height if each candle and subtracting the rate they burn at times our input variable of time (x) equal to height (y)
So, 8-7/10x=y and 6-1/5x=y
then, because both equations equal y you can set them equal to each other so
8-7/10x=6-1/5x
Finally, solve for x
8-7/10x=6-1/5x
subtract 6 from both sides
2-7/10x=-1/5x
add 7/10 x to both sides (1/5x=2/10x)
2=5/10x
simplify
2=1/2x
x=4
