Substitution 3x+y=-8, -8x-3y=21 PLEASE HELPP ME<3
1 answer:
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Answer:
H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.
Ha: At least one of the proportions in the null hypothesis is false.
Step-by-step explanation:
On this case we need to apply a Chi squared goodness of fit test, and the correct system of hypothesis would be:
H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.
Ha: At least one of the proportions in the null hypothesis is false.
And in order to test it we need to have observed and expected values. On this case we can calculate the Expected values like this
The observed values are not provided. The statistic on this case is given by:
And this statistic follows a chi square distribution with k-1 degrees of freedom on this case k=3, since we have 3 groups.
We can calculate the p valu like this:
And if the p value it's higher than the significance level we FAIL to reject the null hypothesis. In other case we reject the null hypothesis.
Answer:
Correct Answer is B. 2.4 Units
Step-by-step explanation:
The missing picture in question is attached.
The Law of Sines is given as:
Where,
a,b,c are the length of sides of triangle
A,B,C are the angles between the two sides of triangle
According to the picture attached, we have ΔRQS,
Let,
r = 3.1 units
R = 80°
s = 2.4 units
S = S
q = RS
Q = Q
Using law of Sines:
°
Since, triangle is constitute of total 180°, hence,
∠Q + ∠R + ∠S = 180°
∠Q + 80 + 49.68 = 180
∠Q = 180 - 80 - 49.68
∠Q = 50.32°
To find line segment RS, again use law of sines:
