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I am Lyosha [343]
3 years ago
10

A first number plus twice a second number is 9. Twice the first number plus the second totals 27. Find the numbers

Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0
Create a a system of 2 equations: 2x + y = 27 and 2y + x = 9, with x being the first number and y being the second. solve for the two variables and you'll get the first number is 15 and the second is -3.
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Answer:

z = \frac{X -\mu}{\sigma}

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

z= \frac{33.2-34.5}{1.3}= -1

And for the case of Sue we got:

z = \frac{32.7-33.9}{1.2}= -1

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

Step-by-step explanation:

We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:

X\sim N(\mu = 34.5, \sigma=1.3)

Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:

Y\sim N(\mu = 33.9, \sigma=1.2)

And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:

z = \frac{X -\mu}{\sigma}

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

z= \frac{33.2-34.5}{1.3}= -1

And for the case of Sue we got:

z = \frac{32.7-33.9}{1.2}= -1

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

5 0
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