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rewona [7]
1 year ago
9

Activating Schema: Draw the figure described below. Then solve for length PR. Right Triangle PQR with the following characterist

ics: PQ is perpendicular to PR, QR = 47 mm, and Angle Q = 52°
Mathematics
1 answer:
Marina CMI [18]1 year ago
6 0

The given triangle is

To solve for PR, we have to use the sine function which is equivalent to the ratio between the opposite leg and the hypothenuse.

\begin{gathered} \sin 52=\frac{PR}{47} \\ PR=47\cdot\sin 52 \\ PR\approx37.04 \end{gathered}<h2>Hence, PR is 37.04 mm long, approximately.</h2>

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kati45 [8]
D. Warm air rises and cool air sinks
7 0
3 years ago
"the life length x (in years) of a dvd player" is exponentially distributed with mean 5 years. what is the probability that a mo
loris [4]
The exponential distribution is:
\lambda e^{- \lambda x}
where \lambda = \frac{1}{mean}=\frac{1}{5}

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.
P(A|B) = \frac{P(A and B)}{P(B)}
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
P(x \ \textgreater \ N) = \int_N^{\infty} \frac{1}{5} e^{-x/5} dx = e^{-N/5}

Sub into conditional probability formula:

P(x \ \textgreater \ 8 | x\ \textgreater \ 5) = \frac{P(x\ \textgreater \ 8)}{P(x\ \textgreater \ 5)} = \frac{e^{-8/5}}{e^{-5/5}} = e^{-3/5} = 0.549

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%
3 0
3 years ago
please solve the question and show your work find the missing number in 34x =0 show how u got your answer and write full explana
Anastaziya [24]
34x=0
So we need to isolate x. Since 34 is multiplied by x, we need to isolate x by moving 34 over the equal sign. Whenever you move something over the equal sign, the opposite is done. For 34, instead of being multiplied, it will be divided.
34x=0
X=0/34
Then you solve for x
X=0
Hope this helps!
8 0
3 years ago
45.5 meters in 13 seconds show work
olya-2409 [2.1K]
I am going to assume that you are looking for the speed of the object. So, knowing that the formula for speed is distance divided by time, we have the expression: 45.5/13. This would simplify to be 3.5 meters per second, or m/s. m/s also happens to be the "Scientific unit for speed!" Just a fun fact! If this answer was not clear, please feel free to ask! Happy home-working!
7 0
3 years ago
Please help and show work<br>​
Nimfa-mama [501]

Answer:

a ratio of cats to dogs is 5:3 so the total of that ratio is 8 so for every 8 animals there are 5 cats so 5/8*104=65

b. ratio of dogs to cats is 3:5 so 3 of every animal is a dog so 3/8*104 =39

and 39+65=104 as a final check = 104

this also proves that dogs are better than cats

Step-by-step explanation:

6 0
3 years ago
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