Answer:
x= 116°
y= 127°
Step-by-step explanation:
x... The angle subtended at the centre is twice the angle subtended at the cicumfernce by the same arch
y.... Angle in a cyclic quadrilateral add up to 180°
hence 180-53=127
Answer:
Step-by-step explanation:
The 9th term is the next-to-last term, where the left term of the binomial is raised to the first power, the right term of the binomial is raised to the 8th power (9-1=8), and the multiplier is 9C8 = 9!/(8!·1!) = 9. This product is ...
9·(3x)^1·(-2y)^8 = 6912xy^8
Answer:
E (Y) = 3
Step-by-step explanation:
If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)
The probability of odd number roll will be, p(T) = 
However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the probability of even number roll, p(U) =
In order to calculate: E (Y); We can say Y to be the number of times you roll.
We know that;
E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)
Let us calculate E ( Y|T ) and E ( Y|U )
Y|T ≅ geometric = 
Y|U ≅ geometric =
also; x ≅ geometric (p)
∴ E (x) = 
⇒ 
= 4 ; also 
= 2
E (Y) = 4 × + 2 ×
= 2+1
E (Y) = 3
The percent off the store should display is 27.0%
- The initial percent off given to Matt = 20%
- The additional percent off given to Matt = 7%
The percent off the store should display is the total percent off given to their product. That is, the addition of the first and second percent off.
The total percent off the store gave to Matt is calculated as;
= 20% + 7%
= 27%
To the nearest tenth of a percent = 27.0%
Thus, the percent off the store should display is 27.0%
Learn more here: brainly.com/question/16956055
Ex. 85+91= 176
176 divided by 2 = 88
Therefore the minimum score he can get is a 91
