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denis23 [38]
3 years ago
8

What is 238 divided by 3 with remainders?

Mathematics
1 answer:
saul85 [17]3 years ago
8 0
238 can be divided by 3, 79 times with a remainder of 3

Hope this helps
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An angle in standard position measures pi/2 radians, and P(0, 1) is on the terminal side of the angle. What is the value of the
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Angles could be expressed in degrees or in radians. The relationship between the two could be easily explained by illustrating a circle. A semi-circle has a total angle of 180°. This is equal to a π radians. So if the angle is π/2, in degrees, that would be 180/2 = 90°. 

Then, determining the cosine 90° in a calculator would yield an answer of zero.
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X is a normally distributed random variable with mean 46 and standard deviation 22.
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Answer:

  B.  0.95

Step-by-step explanation:

The probability that the value of the random variable is in the given range is the area under the normal probability distribution curve over that range. The value of this area is conveniently provided by any number of calculators, apps, or spreadsheets. It can also be determined using the "empirical rule" that tells you the probability over certain normalized ranges.

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<h3>normalized range</h3>

A standard normal probability density function (PDF) has a mean of 0 and a standard deviation of 1. The range in this problem can be normalized to some number of standard deviations above or below the mean. The mean is given as 46, and the standard deviation is given as 22.

In this problem, the <em>lower limit</em> of the range is ...

  z = (2 -46)/22 = -2

standard deviations from the mean.

Similarly, the <em>upper limit</em> is ...

  z = (90 -46)/22 = +2

standard deviations from the mean.

<h3>empirical rule</h3>

The empirical rule tells us that 95% of the area of the PDF lies between -2 and +2 standard deviations from the mean.

  P(2 < X < 90) ≈ 0.95

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<em>Additional comment</em>

The empirical rule for other ranges is ...

  ± 1 standard deviation: 68%

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  ±3 standard deviations: 99.7%

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Slope of line passing through (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

From the graph attached,

Slope of the line passing through (-3, 0) and (0, 5) = \frac{5-0}{-3-0}

                                                                                    = -\frac{5}{3}

Line passing through a point (h, k) and slope 'm' will be,

y - h = m(x - k)

Since, line passing through (11, 0) is parallel to the line given in the graph,

Slope of the parallel line will be same as -\frac{5}{3}

Equation of a line passing through (11, 0) and slope = -\frac{5}{3}

y - 0 = -\frac{5}{3}(x-11)

y = -\frac{5}{3}(x-11)

Now satisfy this equation with the points given in the options,

Option (1)

For (1.67, -15.59),

-15.59 = -\frac{5}{3}(1.67-11)

-15.59 = -15.55

False.

Therefore, given point doesn't lie on the line.

Option (2)

For (-0.33, -13.59)

-13.59 = -\frac{5}{3}(-0.33-11)

-13.59 = -18.88

False

Option (3)

For (0.67, -18.59),

-18.59 = -\frac{5}{3}(0.67-11)

-18.59 = 17.22

False

Option (4)

For (1.67, -15.59)

-15.59 = -\frac{5}{3}(1.67-11)

-15.59 = -15.55

False.

Therefore, none of the points given in the options are lying on the line.

7 0
3 years ago
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