Please help! I don't understand it

Mathematics

2 answers:

kifflom [539]3 years ago

5 0

A)360/6 = 60. 180-60 =120 degrees i think
b) 360/8 = 32.5. 180-32.5= 147.5 degrees i think

den301095 [7]3 years ago

4 0

To calculate the exterior angle of a regular polygon, we have to divide 360 by the number of sides on the polygon
Angle a is the exterior angle on a regular hexagon, which has 6 sides.
So, to calculate the exterior angle, we use 360/6 = 60 degrees

To calculate angle b, which is an interior angle, we calculate the exterior angle and subtract it from 180. This is because angles on a straight line add up to 180 degrees

Angle b is an interior angle of an octagon, which has 8 sides. So, we use
180 - (360/8) = 180 - 45 = 135 degrees.

Hope I helped! xx

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The mean SAT score in mathematics, M, is 600. The standard deviation of these scores is 48. A special preparation course claims

kupik [55]

Answer:

Step-by-step explanation:

The mean SAT score is $\mu=600$ , we are going to call it \mu since it's the "true" mean

The standard deviation (we are going to call it $\sigma$ ) is

$\sigma=48$

Next they draw a random sample of n=70 students, and they got a mean score (denoted by $\bar x$ ) of $\bar x=613$

The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.

- So the Null Hypothesis $H_0:\bar x \geq \mu$

- The alternative would be then the opposite $H_0:\bar x < \mu$

The test statistic for this type of test takes the form

$t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}$

and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.

With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.

$t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\\\\= \frac{| 600-613 |}{48/\sqrt(70}}\\\\= \frac{| 13 |}{48/8.367}\\\\= \frac{| 13 |}{5.737}\\\\=2.266\\$

<h3>since 2.266>1.645 we can reject the null hypothesis.</h3>