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NeX [460]
3 years ago
14

Determine the parametric equations of the position of a particle with constant velocity that follows a straight line path on the

plane if it starts at the point P(7,2) and after one second it is at the point Q(2,7).
Mathematics
1 answer:
anzhelika [568]3 years ago
7 0
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The average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed. What is
Anna35 [415]

Answer:

Probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.

Step-by-step explanation:

We are given that the average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed.

Firstly, Let X = women's gestation period

The z score probability distribution for is given by;

         Z = \frac{ X - \mu}{\sigma} ~ N(0,1)

where, \mu = average gestation period = 270 days

            \sigma = standard deviation = 9 days

Probability that a randomly selected woman's gestation period will be between 261 and 279 days is given by = P(261 < X < 279) = P(X < 279) - P(X \leq 261)

         P(X < 279) = P( \frac{ X - \mu}{\sigma} < \frac{279-270}{9} ) = P(Z < 1) = 0.84134

         P(X \leq 261) = P( \frac{ X - \mu}{\sigma} \leq \frac{261-270}{9} ) = P(Z \leq -1) = 1 - P(Z < 1)

                                                           = 1 - 0.84134 = 0.15866

<em>Therefore, P(261 < X < 279) = 0.84134 - 0.15866 = 0.68</em>

Hence, probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.

3 0
3 years ago
How do you solve 135x42? (step by step please)
mojhsa [17]

Answer:

5,670

Step-by-step explanation:

how do you solve 135x42? (step by step please)

Answer :

= 135 x 42

= 5,670

3 0
2 years ago
how do you simplify 24-8 root 3 over 6? the correct answer is 12-4 root 3 over 3 but i’m just confused on how you simplify to ge
iren [92.7K]
You simplify the fraction by dividing 2 to the nominator and the denominator. So 24/2=12, 8/2=4, 6/2=3. You can only divide a root with a root number so in this case the root three doesn't get affected
3 0
3 years ago
What is the measure of the base in the triangle below?
lesantik [10]

Step-by-step explanation:

AC+CB+BA=180

2x+23+3x-8+4x+1=180

9x+16=180

9x=180-16

9x=164

x=164/9

x=18.2

5 0
2 years ago
PLEASE, IT IS URGENT!!!!!!!!!!!!!!!!
sasho [114]
Convert the timing into hours only:
11:15  = 11.25h
 9:45  = 9.75h
11:45 = 11.75h
 7:45  = 7.75h
10:45 = 10.75h

To find the average, we need to find the middle of these timing:
11.25 + 9.75 + 11.75 + 7.75 + 10.75 = 51.25

51.25 ÷ 5 = 10.25h = 10:15 am

------------------------------------------------------------------------
Answer: The average time it docks is 10:15 am.
------------------------------------------------------------------------
5 0
2 years ago
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