Answer:
<h2>See the explanation.</h2>
Step-by-step explanation:
(a)
7 persons will show up for sure, hence there is not any kind of probability here.
The other 5 persons have 50% chance to show up.
The flight will be overbooked, if either 4 will come or 5 will come.
From the total 5 persons, 4 can be chosen in 
ways.
The probability that any four among the 5 will come is 
.
The probability that all of the 5 passengers will come is 
.
Hence, the required probability is 
.
(b)
The probability that there will be exactly 10 passengers on the flight is 
.
The probability that there will be no empty seats in the plane is 
.
Hence, probability of having empty seats is 
.
Step-by-step explanation:
in the given figure ,
the two sides of the triangle are equal , so their opposite angles are equal .
so , we get
=》Angle RPQ = Angle PRQ = 65°
and some of interior angels of the triangle measures 180°
so,
=》RPQ + PRQ + RQP = 180°
=》65° + 65° + RQP = 180°
(Because RPQ = PRQ = 65°)
=》130° + RQP = 180°
=》RQP = 50°
Slope = -4/5
to calculate the slope m use the gradient form
m = y2 -y1
————
x2 - x1
let (x1, y1) = (3,1) and (x2, y2) = (-2, 5)
m = 5 - 1 4
———- = ——-
-2 - 3 -5
= - 4/5
Answer:
Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).
Explanation:
You are given:
every serving of shrimp contains 2g of fat and 5mg of iron;
every serving of rice contains 6g of fat and 7mg of iron;
each meal should have 6g of total fat and 10mg of total iron.
You need to set a system of equation: let's call
s = quantity of shrimps
r = quantity of rice
The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g
2s + 6r = 6 (1)
Similarily:
the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g
5s + 7r = 10 (2)
In order to solve the system, solve for s in equation (1):
s = (6-6r)/2 = 3 - 3r (3)
Substitute in equation (2):
5(3 - 3r) + 7r = 10
and solve for r:
15 - 15r + 7r = 10
8r = 5
r = 5/8
Substitute the value of r in equation (3):
s = 3 - 3×5/8 = 9/8
Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.
