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REY [17]
3 years ago
11

The temperature decreased by 11 degrees. enter an integer that represents the situation

Mathematics
1 answer:
dem82 [27]3 years ago
6 0
If its talking about the temperature decreased it would be -11 but it's asking for an integer
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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.

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D is the answer- x-6, y+4
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Angles 1 and 2 are complementary and congruent. what is the measure of angle 1? 30° 45° 50° 75°
lesantik [10]

see the attached figure to better understand the problem

we know that

1) If angle 1 and angle 2 are complementary angles

then

m∠1+m∠2=90\° ------> equation A

2) If angle 1 and angle 2 are congruent angles

then

m∠1=m∠2 ------> equation B

Substitute equation B in equation A

m∠1+(m∠1)=90\°

2m∠1=90\°

m∠1=45\°

therefore

<u>the answer is</u>

45\°

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Step-by-step explanation:

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