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yaroslaw [1]
3 years ago
13

Maria wanted to know if there was a connection between her coffee consumption and how well she slept that night. For weeks, Mari

a recorded how many cups of coffee she drank in the morning and how many hours she slept that night.
What is the probability that a randomly selected day is one when she slept exactly 7 hours given that the day is one when she drank exactly 1 cup of coffee? (serious answers only please)

A. 3/15
B. 3/10
C. 7/15
D. 7/10

Mathematics
1 answer:
____ [38]3 years ago
6 0

Answer:

A

Step-by-step explanation:

I did this

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Qual o valor de Pi ?
Igoryamba
<h2>Hello my friend.</h2>

The Pi value is approximately equal to 3.14.

<h2>I hope I have helped a lot.</h2>
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3 years ago
You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then
gogolik [260]

Answer:

The maximum possible error of in measurement of the angle is  d\theta_1  =(14.36p)^o

Step-by-step explanation:

From the question we are told that

    The angle of elevation  is  \theta_1  =  15 ^o =  \frac{\pi}{12}

     The height of the tree is  h

      The distance from the base is  D

h is mathematically represented as

            h  = D tan \theta       Note : this evaluated using SOHCAHTOA i,e

                                               tan\theta  =  \frac{h}{D}

Generally for small angles the series approximation of  tan \theta \  is

          tan \theta  =  \theta  + \frac{\theta ^3 }{3}

So given that \theta =  15 \ which \ is \ small

       h = D (\theta + \frac{\theta^3}{3} )

       dh = D (1 + \theta^2) d\theta

=>        \frac{dh}{h} =  \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta

Now from the question the relative error of height should be at  most

        \pm  p%

=>    \frac{dh}{h} =   \pm p

=>    \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta  = \pm p

=>      d\theta  =  \pm  \frac{\theta +  \frac{\theta^3}{3} }{1+ \theta ^2} *    \ p

 So  for   \theta_1

            d\theta_1  =  \pm  \frac{\theta_1 +  \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} *    \ p

substituting values  

          d [\frac{\pi}{12} ]  =  \pm  \frac{[\frac{\pi}{12} ] +  \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} *    \ p

 =>       d\theta_1  = 0.25 p

Converting to degree

           d\theta_1  = (0.25* 57.29) p

            d\theta_1  =(14.36p)^o

4 0
3 years ago
A $79 television is on sale for $65. What percent discount was given? <br>​
pickupchik [31]

Answer:

The discount percentage has been given: ($ 65 / $ 79) x 100 = 82.27%

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Step-by-step explanation:

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Answer:

the answer is the second to the left :D

Step-by-step explanation:

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5 0
3 years ago
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Please help me solve this problem.
KatRina [158]
The square of the diagonal (d1) of the end face is
.. (d1)^2 = (3 in)^2 +(5 in)^2 = (9 +25) in^2 = 34 in^2

The square of the longest diagonal (d2) will be given by
.. (d2)^2 = (3x in)^2 +(d1)^2
.. = (9x^2 +34) in^2

So, the longest diagonal is
.. d2 = √(9x^2 +34) in
4 0
4 years ago
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