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WARRIOR [948]
3 years ago
15

If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal

distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will take between 2 and 4.5 minutes to find a parking spot in the library parking lot.
Mathematics
1 answer:
stich3 [128]3 years ago
5 0
If there is an answer c then pick that one for sure
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Determine the x and yintercepts of the line that correspond to the following table of values. (-7,7) (-5,0) (-3,-7)
Paladinen [302]

let's pick any two points off that table to get its slope.


\bf \begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} -7&7\\ -5&0\\ -3&-7\\ \cline{1-2} \end{array}~\hspace{7em} (\stackrel{x_1}{-7}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{-7}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-7-7}{-3-(-7)}\implies \cfrac{-14}{-3+7}\implies \cfrac{-14}{4}\implies -\cfrac{7}{2}


\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=-\cfrac{7}{2}[x-(-7)]\implies y-7=-\cfrac{7}{2}(x+7) \\\\\\ y-7=-\cfrac{7}{2}x-\cfrac{49}{2}\implies y=-\cfrac{7}{2}x-\cfrac{49}{2}+7


\bf y=-\cfrac{7}{2}x+\cfrac{-49+14}{2}\implies y=-\cfrac{7}{2}x\stackrel{\stackrel{\left( 0~,~-\frac{35}{2} \right)}{\downarrow }}{-\cfrac{35}{2}}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

7 0
4 years ago
I need help on these questions can u make sure u do all of them cuz some people just only do one problem.
Zepler [3.9K]

Answer:

(I can't figure out number one)

2. 7 1/2 feet below sea level or -7 1/2 feet

3. It would stop on the 17th floorl

Step-by-step explanation:

2. You subtract 20 1/2 by 28 to get your answer. Flipped around, 28 - 20 1/2 is 7 1/2 so back to the right way would be -7 1/2 or 7 1/2 feet below sea level.

3. 23 + 5 = 28

28 - 14 = 14

14 + 3 = 17

So the 17th floor would be the answer.

8 0
3 years ago
Read 2 more answers
n a laboratory experiment, an ultrasound detector located at D is used to measure the distances of two moving objects, P and Q.
jeyben [28]
Triangle PDQ has: 

     Side "p" is opposite Angle P 

     Side "d" is opposite Angle D = 45º + 23º = 68º 

     Side "q" is opposite Angle Q 


Use the Law of Cosines: 

         d²  =  p²  +  q²   −   2 • p • q • cos(D) 

         d²  =  (4.24)²  +  (4.24)²   −   2 • (4.24) • (4.24) • cos(68º) 

         d²  =  2(4.24)²   −   2(4.24)² • cos(68º) 

         d²  =  2(4.24)² • [ 1 – cos(68º) ] 

<span>         d  =  4.74 ft
</span>Hope this helps
5 0
3 years ago
Read 2 more answers
Round 83,461 to the nearest thousand.
ch4aika [34]

Answer:

See below.

Step-by-step explanation:

83,461

  /\

This is the thousand place.

5 and above is rounded up, 4 and below is rounded down.

83,000 is the answer.

-hope it helps

4 0
2 years ago
Susan has 4 gallons of juice. How many cups of juice does she have?
Fittoniya [83]
She has 64 cups
1 gallon is 16 cups
4 0
3 years ago
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