Answer:
; 
Step-by-step explanation:
You can write two expressions that are in terms of 'x' and 'y'. This is a right triangle, so Pythagorean's theorem can be used. We can also use the angle to find the sine of 30 degrees.
<u>Pythagorean's Theorem:</u>
The values 'a' and 'b' are the two shorter sides of the triangle, while the value 'c' is the longest side of the triangle; the hypotenuse.



<u>Sine of the Angle:</u>
Sine is defined to be the opposite side divided by the hypotenuse. Let's take the sine of 30 degrees:




Plug this value of 'y' into the first expression derived from Pythagorean's theorem:






Use this value of 'x' to solve for 'y' in the expression from Pythagorean's theorem:






Answer:
1
Step-by-step explanation:
Anything x 1 is itself
Answer:
QT= 12
Step-by-step explanation:
In the math RS=QR because R is the mainpoint of Qs
here given
RT=10 , RS=2, QR=2 BECAUSE {RS=QR} AND QR+RS=4=QS
NOW
RT-RS= 10-2=8=ST
SO THE ANSWER IS
ST+QS=8+4=12
Answer: E. We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
Step-by-step explanation:
The interpretation of a 95% confidence interval: A person can be 95% confident that the true population parameter lies in it.
Given: A 95% confidence interval for the<em> slope of the regression </em>line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505,6.696).
Interpretation: We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
Correct option: E
Answer:
0.3
Step-by-step explanation:
(7.4-1.1) - (2.1-8.1)
Lets start with (7.4-1.1)
Step 1:
(7.4-1.1) =6.3 (All you do is subtract 7.4-1.1 and it gives you 6.3)
Step 2: Lets do (2.1-8.1)
(2.1-8.1)= -6 (2.1 minus 8.1 gives you -6 because 2.1 is smaller than 8.1 so it will give you a negative)
Step 3: Subtract
6.3-6
So your answer would be 0.3
Hope that helped :)