<span>This would be a bell curve with a z-score of greater than +2.00, since 3 minutes is exactly two standard deviations greater than the mean of 2.00. Looking at a z-score table for the proportion of the curve that lies in the 1-tailed area greater than 2.00, we find that the value is .0228. This would be the probability that the conversation is over three minutes: 0.0228 or 2.28%.</span>
Answer:
C: 48 straws
Step-by-step explanation:
First, find the perimeter of one picture frame: (2 x length) + (2 x width). Convert 20 centimeters to millimeters so that you are working in the same units; there are 10 millimeters in 1 centimeter, so 20 centimeters = 200 millimeters.
(2 x 200) + (2 x 120) = 400 + 240 = 640
Each picture frame has a perimeter of 640 millimeters.
Next, figure out how many straws are needed for one picture frame:
640/80 = 8
Jana uses 8 straws for each picture frame. Since she is decorating 6 picture frames, solve 6 x 8 = 48.
Jana needs 48 straws to complete her project.
To solve equations like this we need to do inverse operations.
First we need to build an equation: 9+3x=21
We pass the nine to the other side, subtracting the 9 to 21, that leaves us with 3x=12
After that we just divide 12 by 3, wich gives us x=4, or, as it says in the question: n=4
Now let's double check:
N=4, since 3*4=12 and 12+9=21
Hope it is helpful :)
Answer:
Given lines are PERPENDICULAR to each other.
Step-by-step explanation:
We have the equations, 
and 
The slope-intercept form of a straight line is 'y=mx+b', where m is the slope and b is the y-intercept.
So, accordingly we get that,
The given equations have slopes 
and 
.
As we see that, 
Thus, the product of the slopes of the given lines is -1.
Hence, the given lines are PERPENDICULAR to each other.
Step-by-step explanation:
<u>Slope formula:</u>
m = slope
<u>Find 2 points from the graph:</u>
<u>Substitute the points into the formula:</u>
<u />
<u>Solve:</u>
<u />
The slope equals -(7/6) or -1 1/6.
