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Helga [31]
3 years ago
15

Find n(A) for the set. A = {4, 6, 8,1 0, 12}

Mathematics
1 answer:
slega [8]3 years ago
4 0

Answer:

n(A) = 5

Step-by-step explanation:

The notation "n(A)" means the "number of elements in the set A".

Note, that this has to be "unique" elements in the set. If there is five 6's, we will count as one...

Looking at the set given, there are 4, 6, 8, 10, 12 -- 5 elements. All are unique, no repetitions. Hence n(A) = 5

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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
AC = 3x -8, BC = -7 + 2x, and AB = 8.<br> Find BC.
Rainbow [258]

Answer:

AB+BC+AC=180°

8 - 7 + 2x +3x -8= 180°

-7+5x=180°

x=180°+7/5

x=37.4°

again

BC=-7+2*37.4

=67.8°

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1 year ago
PLS HELP 15 POINTS 10 MINS LEFT
Mandarinka [93]
The answer is false because you would still have $3 left over
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3 years ago
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I need help? Does anyone know how to do this?! Will receive 40 POINTS!
FinnZ [79.3K]
I am not for sure that what im about to type is the right answer but if im not wrong the amswer is 1over4
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3 years ago
What is the coordinate of point Z after translating it 7 units down and then translating it 8 units right
Diano4ka-milaya [45]

Using translation concepts, the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:

Z'(x + 8, y - 7).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the translations are given as follows:

  • 8 units right, hence x -> x + 8.
  • 7 units down, hence y -> y - 7.

Hence the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:

Z'(x + 8, y - 7).

More can be learned about translation concepts at brainly.com/question/28351549

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2 years ago
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