Answer:
All angles in a rectangle are congruent, because in a rectangle, all angles are 90 degrees.
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
A box of what????? I don't get it
The amount he should sell for one bottle of the fizzy juice to make the 60% profit is 22 Penny.
<h3>Cost of each juice</h3>
Orange : Lemonade
3 : 5
After buying 2 liters of orange juice and 3 liters of lemonade, cost of each;
Increase the ratio to form divisible by 2 and 3; (L.C.M of 2 and 3 = 6)
(3 x 6L) : (5 x 6L)
18L : 30L
total fizzy juice = 18L + 30L = 48 liters
bottle of orange = (18 L ÷ 2 L) = 9 bottles
bottle of lemonade = (30 L ÷ 3L ) = 10 bottles
cost of orange = 9 x £1.20 = £10.8
cost of lemonade = 10 x £1.50 = £150
Total cost = £10.8 + £150 = £25.80 = 2580 P
<h3>Total bottles that will make 48 liters fizzy juice</h3>
250 mL = 0.25 L
0.25L(n) = 48 L
n = 48/0.25
n = 192 bottles
<h3>Cost of each bottle in Penny</h3>
cost = 2580 P/192
cost = 13.44 P
<h3>Amount each bottle should be sold to make a profit of 60%</h3>
A = 100%(initial cost) + 60%(initial cost)
A = 160%(initial cost)
A = 1.6(initial cost)
A = 1.6 x 13.44 P
A = 21.5 P ≈ 22 P
Learn more about profit here: brainly.com/question/1078746
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Answer:
√2
Step-by-step explanation:
Angle ( θ ) = 45
Hypotenuse side = 2
Opposite side = x
Formula : -
sin θ = Opposite side / Hypotenuse side
Note :
The value of sin 45 = 1/√2
sin 45 = x/2
1/√2 = x/2
Cross multiply,
x*√2 = 2*1
x√2 = 2
2 can be simplified as √2 * √2
x√2 = √2*√2
Divide √2 on both sides,
x = √2
