Answer:
62 square units
Step-by-step explanation:
Surface area of a rectangular prism = 2 ( wl + hl + hw)
Where,
w = width = 2 units
h = height = 3 units
l = length = 5 units
Surface area of a rectangular prism = 2 ( wl + hl + hw)
= 2 (2*5 + 3*5 + 3*2)
= 2 (10 + 15 + 6)
= 2 (31)
= 62 square units
Surface area of the rectangular prism = 62 square units
Answer: 84 people
Step-by-step explanation:
From the question, 240 people are going to a charity event and 3/5 of the guests have ordered chicken for their meals. This means (3/5 × 240) = 144 people ordered chicken. Since 144 people have ordered, the number of remain people left will be:
= 240 - 144
= 96 people.
Out of the remaining guests which is 96, 12.5% have ordered gluten free meals. This means (12.5% × 96) = 12 ordered gluten free meals.
The people who haven't ordered their meals yet will be:
= 96 - 12
= 84 people.
Answer:
A, C, E
Step-by-step explanation:
From the table you can see that the water depth cahnges
for every
of snow (option B is false).
This means that the function modelling this situation is linear function (option A is true and option D is false). Let the equation of this function be 
Then
Subtract these two equations:
Hence,
The equation of the straight line (the graph of linear function) is 
(option E is true) This line passes through the point (0,0), because its coordinates satisfy the equation (option C is true).
If the exclusion of Miss Jones and Mr Smith serving together was not present, the are 15C4 = 1365 ways of selecting the committee.
Miss Jones can serve on the committee in the following ways:
a) with 3 men
b) with 2 men and another woman
c) with 1 man and 2 other women
d) with 3 other women.
Arrangement d) obviously presents no restrictions.
Arrangement a) has 7C3 ways excluding Mr Smith, and 8C3 ways if Mr Smith was included.
Arrangement b) has 7C2 * 6 ways excluding Mr Smith, and 8C2 * 6 ways if Mr Smith was included.
Arrangement c) has 7 * 6C2 ways excluding Mr Smith, and 8 * 6C2 ways if Mr smith was included.
The reductions in ways caused by the restriction are as follows:
a) 8C3 - 7C3 = 21 ways
b) 6(8C2 - 7C2) = 42 ways
c) 6C2 = 15 ways
The total reduction in the number of ways is: 21 + 42 + 15 = 78.
Therefore the total number of ways of selecting the committee, while observing the restriction, is 1365 - 78 = 1287 ways.
Answer:
Trying to help out, I think it's appropriate
Step-by-step explanation:
