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lisabon 2012 [21]
3 years ago
8

Barbara surveyed students in her school by looking at an alphabetic list of 600 students names dividing them into groups of 10 a

nd randomly choosing one from each group How many students did she survey?What type of sample is this?
Mathematics
2 answers:
AveGali [126]3 years ago
7 0
Well, we can break this down into a few steps. First off, if we split these 600 students up into groups of 10, we're doing 600/10 groups, or 60 groups total. Then, if we randomly pick one student from each group, in total, we're surveying 60 students.

This is also an example of "stratified sampling". But that part's more of just knowing the vocabulary for statistics. Hope this helps!
Setler [38]3 years ago
6 0
60 AND THIS IS A RANDOM SAMPLE
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Answer:

The Falcones have to travel at 25 m/h to make the trip in 2 hours.

Step-by-step explanation:

In order to find the answer you have to use the formula to calculate speed:

speed=distance/time

distance=50 miles. The stament indicates that the distance between Syracuse and Buffalo is 1 inch and that the map has a scale of inch = 50 miles.

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Now, you can replace the values on the formula:

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According to this, the answer is that the Falcones have to travel at 25 m/h to make the trip in 2 hours.

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3 years ago
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Answer:

(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)

Step-by-step explanation:

The reference angle is the angle that the given angle makes with the x-axis.

For an ordered pair to share the same reference angle, the x and y coordinates must be the same or a factor of each other.

From the given options:

(A)\left(-\dfrac{\sqrt{3} }{2} ,-\dfrac{1 }{2}\right)$ and \left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)\\\\(B)\left(\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(-\dfrac{\sqrt{3} }{2}, \dfrac{1 }{2}\right)\\\\(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)\\\\(D)\left(\dfrac{\sqrt{3} }{2},\dfrac{1 }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)

We observe that only the pair in option C has the same x and y coordinate with the second set of points being a negative factor of the first term. Therefore, they have the same reference angle.

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3 years ago
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Answer:

See attached image for the graph of the function

Step-by-step explanation:

Notice that this is the product of a power function (4x^2) times the trigonometric and periodic function cos(x). So the zeros (crossings of the x axis will be driven by the values at which they independently give zero. That is the roots of the power function (only x=0) and the many roots of the cos function: x= \frac{\pi}{2} , \frac{3\pi}{2} ,..., and their nagetiva values.

Notice that the blue curve in the graph represents the original function f(x), with its appropriate zeros (crossings of the x-axis), while the orange trace is that of "-f(x)". Of course for both the zeroes will be the same, while the rest of the curves will be the reflection over the x-axis since one is the negative of the other.

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Answer:

-4 is the slope

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