Answer:
two coins are flipped:
- if dime land heads and nickel land heads then Allan wins
- if dime land heads and nickel land tail then Beth wins
- if dime land tail and nickel land heads then Carlos wins
- if dime land tail and nickel land tail then Denesha wins
Step-by-step explanation:
The method described above is fair since the probability of each case is 0.25.
If the two coins are flipped:
- The probability dime land head is 0.5
- The probability dime land tail is 0.5
- The probability nickel land head is 0.5
- The probability nickel land tail is 0.5
Then the probability dime land heads and nickel land heads is 0.5 × 0.5 = 0.25.
The other four cases are calculated similarly and their probability is also 0.25
The value of y from the diagram is 9
<h3>Similar shapes</h3>
From the given figure, the shapes are similar, using the similarity theorem of triangles, you ill have;
6/10 = y/15
Cross multiply
10y = 15* 10
10y = 90
y = 90/10
y = 9
Hence the value of y from the diagram is 9
Learn more on similar shapes here: brainly.com/question/2644832
Answer: It should be used 2 for type-A and 3 for type-B to minimize the cost.
Step-by-step explanation: As it is stipulated, <u>x</u> relates to type-A and y to type-B.
Type-A has 60 deluxe cabins and B has 80. It is needed a minimum of 360 deluxe cabins, so:
60x + 80y ≤ 360
For the standard cabin, there are in A 160 and in B 120. The need is for 680, so:
160x + 120y ≤ 680
To calculate how many of each type you need:
60x + 80y ≤ 360
160x + 120y ≤ 680
Isolating x from the first equation:
x = 
Substituing x into the second equation:
160() + 120y = 680
-3200y+1800y = 10200 - 14400
1400y = 4200
y = 3
With y, find x:
x =
x = 
x = 2
To determine the cost:
cost = 42,000x + 51,000y
cost = 42000.2 + 51000.3
cost = 161400
To keep it in a minimun cost, it is needed 2 vessels of Type-A and 3 vessels of Type-B, to a cost of $161400
Answer:
the first step is subtract 4 from both sides
x + 4 > 8
x + 4 - 4 > 8 - 4
Step-by-step explanation:
