Answer:
The degrees of freedom is 11.
The proportion in a t-distribution less than -1.4 is 0.095.
Step-by-step explanation:
The complete question is:
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the proportion in a t-distribution less than -1.4 if the samples have sizes 1 = 12 and n 2 = 12 . Enter the exact answer for the degrees of freedom and round your answer for the area to three decimal places. degrees of freedom = Enter your answer; degrees of freedom proportion = Enter your answer; proportion
Solution:
The information provided is:
Compute the degrees of freedom as follows:
Thus, the degrees of freedom is 11.
Compute the proportion in a t-distribution less than -1.4 as follows:
*Use a <em>t</em>-table.
Thus, the proportion in a t-distribution less than -1.4 is 0.095.
UW = 45
a squared + b squared = c squared
- 6^2 + x^2 = 9^2
- 36 + x = 81
- (subtract 36 from both sides)
- x = 45
i'm pretty sure this is right and i hope it helps you!
Answer:
Conrad had 56 sales on Monday , 168 sales on Tuesday and 504 sales on Wednesday.
Step-by-step explanation:
Let x be the no. of sales on Monday
We are given that On Tuesday Conrad had 3 times as many sales as on Monday.
So, Conrad had sales on Tuesday = 3x
We are also given that On Wednesday, he had 9 times as many sales as on Monday.
So, Conrad had sales on Wednesday = 9x
Over the three days, he had a total of 728 sales
So, x+3x+9x=728
13x=728
x=56
Conrad had sales on Tuesday = 3x =3(56)=168
Conrad had sales on Wednesday = 9x=9(56)=504
Hence Conrad had 56 sales on Monday , 168 sales on Tuesday and 504 sales on Wednesday.
Answer:
20.2 miles
Step-by-step explanation:
This can be described by the three sides of a right angled triangle. Let the distance of the glider to the airport be represented by x, applying the Pythagoras theorem:
= 
+ 
= 
+ 
576 = 
+ 169
= 576 - 169
= 407
x = 
= 20.1742
x = 20.2 miles
The glider has to fly 20.2 miles to return to the airport.
Answer:
The third angle of the triangle is 70°.
Step-by-step explanation:
The two angles of a triangle (say Δ ABC) are given to be 30° and 80°.
We have to find the third angle.
Let us assume that ∠ A = 30° and ∠ B = 80°, then we have to find ∠ C.
Now, we know that, ∠ A + ∠ B + ∠ C = 180° {Property of a triangle}
⇒ 30° + 80° + ∠ C = 180°
⇒ ∠ C = 180° - 30° - 80° = 70°
Therefore, the third angle of the triangle is 70°. (Answer)
