Answer:
The table is attached!
Step-by-step explanation:
- 6 students play both musical instrument and a sport
- 3 students play neither a musical instrument nor a sport
- 14 students in total play a sport
Given: There are 24 students in the class
The number of students that does not play a sport is 24 - 14 = 10
The number of students that does not play a musical instrument but play a sport = 14 - 6 = 8
The frequency table thus is attached below:
Answer:
Given:
Sham: n= 20, x=0.44, s=1.24,
Magnet:n= 20, x =0.49, s= 0.95
For Sham:
Sample size, n = 20
Sample mean = 0.44
Standard deviation = 1.24
For Magnet:
Sample size = 20
Sample mean = 0.49
Standard deviation = 0.95
The null and alternative hypotheses:
H0: s1²=s2²
H1: s1² ≠ s2²
a) To find the test statistics, use the formula:
Test statistics = 1.7037
b) P-value:
Sham: degrees of freedom 
Magnet: degrees of freedom
The critical values:
[Za/2, df1, df2)], [(1 - Za/2), df1, df2]
![f[0.05/2, 19, 19], f[(1 - 0.05/2), 19, 19]](https://tex.z-dn.net/?f=%20f%5B0.05%2F2%2C%2019%2C%2019%5D%2C%20f%5B%281%20-%200.05%2F2%29%2C%2019%2C%2019%5D%20)
![f[0.025, 19, 19], f[0.975, 19, 19]](https://tex.z-dn.net/?f=%20f%5B0.025%2C%2019%2C%2019%5D%2C%20f%5B0.975%2C%2019%2C%2019%5D%20)
The rejection region:
Reject H0, if F < 0.3958 or if F > 2.526
c) Conclusion:
Since the critical values of test statistic is between (0.3958 < 1.7037 < 2.526), we fail to reject null hypothesis H0.
There is insufficient evidence to to support the claim that those given a sham treatment have reductions that vary more than those treated with magnets
Answer:
-8 stars
Step-by-step explanation:
if she gets 2 stars for scoring a goal and losses 2 for missing one then if she gets 8 goals = 16 stars and misses 12 goals = - 24 stars so 16-(-24) = -8 stars
Let's call the distance from the beach to the playground x.
Let's call the distance from the stand to the parking lot z.
Let's call the base of the biggest triangle in the picture (from the parking lot to the left) y.
Recall the pythagorean theorem: the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
There are three right triangles we can work with.
Triangle with sides 48, x and z. Here z is the hypotenuse so we get the equation
Triangle with sides 27, x and y. Here y is the hypotenuse so we get
Triangle with sides z, y and (48+27). Here (48+27) is the hypotenuse so we get
. That is,
We have 3 equations and 3 unknowns (x, y and z). So let's take the last equation:
and replace
and
using expressions that contain an expression in terms of x from the first two equations we came up with.
That gives us:
which we solve for x as follows:
Now that we know x we can substitute 36 for x into the equation
and solve for z as follows:
This means that the distance from the beach to the parking lot is 36 m and the distance from the stand to the parking lot is 60 m.
Answer:
substitute x as 3
Step-by-step explanation:
f (3)=2x
=2×3
=6
