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1 year ago

From the following figures , find the value of x

Mathematics

2 answers:

scoray [572]1 year ago

7 0

Answer:

x = 6

Step-by-step explanation:

these are vertically opposite angles

10x+6 = 11x

so, since only one x is missing from 10x but 6 is addling we can say that x= 6

10 multiplied by 6 = 60

60+6 = 66

11 multiplied by 6 = 66

so by this we can say,

x= 6

Dmitriy789 [7]1 year ago

5 0

Answer:

x = 6

Step-by-step explanation:

vertically opposite angles are equal.

11x = 10x + 6

This must mean that 6 = x

we need 6 to get to 11x from 10x.

Hope this helps, and that it makes sense. If you need further explanation, please let me know.

- profparis

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Answer:

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Step-by-step explanation:

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Using this formula, we get

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3 years ago

Kyle received the following course grades for 10 (three-credit) courses during his freshman year:

timofeeve [1]

Answer:

(a) The average grade point is 2.5.

(b) The relative frequency table is show below.

Step-by-step explanation:

The given data set is

4, 4, 4, 3, 3, 3, 1, 1, 1, 1

(a)

The average grade point is

$Average=\frac{\sum x}{n}$

$Average=\frac{4+4+4+3+3+3+1+1+1+1}{10}$

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Therefore the average grade point is 2.5.

(b)

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The relative frequency table is show below:

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(c)

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3 years ago

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3 years ago

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ycow [4]

Answer:

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Step-by-step explanation:

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2 years ago

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Elena L [17]

Answer:

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

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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.

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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.

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