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
Answer:
Option D. Marcelina spends less that the intended amount of money and buy less than enough corn
Step-by-step explanation:
Let
x----> is the amount of white corn she buys
y ---> is the amount of yellow corn she buys
we know that
She needs to buy 50 kg of corn in total
so
----> equation A
She wants to spend $12 dollars total
so
----> equation B
The solution of the system of equations is the intersection point both graphs
The solution is the point (30,20)
That means
Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn
we have the ordered pair F(15.15)
That means
15 kg of white corn and 15 kg of yellow corn
therefore
Total kg of corn bought is


Total spend is


therefore
Marcelina spends less that the intended amount of money and buy less than enough corn
The answer is D. For every week, she is giving away 10 pencils which means Mrs. Doyal is removing pencils from the 150 pencils she already has by “-10x”. Hope this helps c:
<span>WKLX
W(2, −3),
K(4, −3),
L(5, −2) ,
X(1, −2)
TRANSLATED 4 UNITS RIGHT and 3 UNITS DOWN to produce W'K'L'X
4 units right means the x coordinate is affected. Since the moving to the right, we add 4 to the x values of each vertice.
W = 2 + 4 = 6
K = 4 + 4 = 8
L = 5 + 4 = 9
X = 1 + 4 = 5
3 units down means the y axis is affected. We add 3 to the value of y but keep the negative sign.
W = -3 + -3 = -6
K = -3 + -3 = -6
L = -2 + -3 = -5
X = -2 + -3 = -5
The correct answer is: </span><span>W′(6, −6), K′(8, −6), L′(9, −5) , and X′(5, −5)</span>
Answer:
D
Step-by-step explanation:
44+32=76
180-76=104
104+36=140
180-140=40
D)40