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LekaFEV [45]
3 years ago
7

Sarah has gone four weeks. Micah has been recording the daily high temperature. During that time, the high temperature has been

greater than 45F on 20 out of 28 days. What is the experimental probability that the high temperature will be below 45F on the twenty-ninth day?
Mathematics
1 answer:
pickupchik [31]3 years ago
8 0
The experimental probability that the high temp will be below 45 F on the 29th day is, 4.5 out of 29 days, that is because 20 of the days have had lower temperatures, so they left 9 days of and from those 9 days, they could be lower or greater that 45F (50% each side), that is:
4.5/29 = 0.155 = 15.5%
that is the exp probability
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Suppose that $p$ and $q$ are positive numbers for which \[\log_9 p = \log_{12} q = \log_{16} (p + q).\] what is the value of $q/
SVEN [57.7K]

Given p,q>0 and \log_9p=\log_{12}q=\log_{16}(p+q)=x (say).

Then,

p=9^x\\ q=12^x\\ p+q=16^x

From the above 3 equations,

\frac{q}{p} =(\frac{12}{9} )^x\\ \frac{q}{p} =(\frac{4}{3} )^x\\ \frac{p+q}{p} =(\frac{16}{9} )^x\\ \frac{p+q}{p} =(\frac{4}{3} )^{2x}\\

From the equations, we get

\frac{p+q}{p}=(\frac{q}{p})^2\\ 1+\frac{q}{p}=(\frac{q}{p})^2\\ (\frac{q}{p})^2-\frac{q}{p}-1=0\\ \frac{q}{p}=\frac{1 \pm \sqrt{5}}{2}

Since p,q>0, the negative value is rejected.

\frac{q}{p}=\frac{1 + \sqrt{5}}{2}

3 0
3 years ago
I need to graduate please.<br>Which expression is a perfect cube?<br> x^8<br> y^24<br> m^26<br> s^64
myrzilka [38]
Remember
(a^b)^c=a^{bc}

note that if a^3 is a perfect cube then (a^3)^c is also a perfect cube when c is an integer

(a^3)^c=a^{3c}
so if a number is a perfect cube then the power must be divisible by 3

8 is not divisible by 3
24 is divisible by 3
26 is not divisibley by 3
64 is not divisible by 3

the perfect cube is y^24
8 0
3 years ago
Now Cathy is three times as old as Katie. In six years Cathy will be only twice as old as Katie. How old is each girl now?
klasskru [66]

Answer:

6 and 18

6+6=12

18+6=24

12x2=24

Unless a number is given it is mainly trial and error so guessing numbers that fit the first part of Ax3=B

Step-by-step explanation:

5 0
3 years ago
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DaniilM [7]

Answer: The answer is 0.38

Step-by-step explanation:

Well, everything is given, as stated in the question "the probability that a student is a girl and in an art class is 0.20."

It's given that the probability that a student is a girl is 0.52.

However, in the question, it said that it's given a student is a girl.

You have the probability that a student is a girl and in art class, so you need to find what 0.52 was multiplied by which would be the probability of someone being in art class. Knowing this you can do 0.20 / 0.52 to get 0.38.

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3 years ago
All of the following have the same unit price except _____.
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2 1/2 for $6.25 is the answer
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