Answer:
82cm²
See explanation below
Step-by-step explanation:
The question is incomplete without the diagram of the rectangular prism and it's dimensions. We are to determine the surface area of the rectangular prism using it's net.
I would show you how to determine it using diagram below.
Find attached the diagram used in solving the question as well as the net obtained from the diagram.
Solution:
A net diagram is a 2-dimensional representation of a 3-dimensional solid in which case the solid is unfolded.
The net gives the total area of the sides and faces of the 3 dimensional figure.
The units of the diagram used are all in cm.
Using net diagram:
Area A = Area B = length × height = hl
Area C = Area D = width × length= wl
Area E = Area of F = height × width = hw
surface area of the rectangular prism = 2(wl + hl + hw)
w = width = 2cm
l= length = 7cm
h = height = 3cm
Insert the values in the formular
A = 2(2×7 + 3×7 + 2×3)
A = 2(14+21+6)
A = 2(41) = 82cm²
Surface area of the rectangular prism = 82cm²
Answer:
All raisins would be moving away from you at the same speed, without any dependence
Step-by-step explanation:
As you can see in the graph it is irrelevant if they are on one side or another of the cake since you would see everyone moving away from you at the same speed since the cake must undoubtedly expand to establish a distance of 3cm between the raisins .
Note: It should be understood that the dough should be uniform and the ideal cooking conditions for a standard cake
Answer:
a)
b)
Step-by-step explanation:
The proportion of defective gadgets for this factory is p=0.2.
If a sample of n=100 gadgets is taken from the production, we can model the amount of defectives gadgets in this sample as a binomial random variable.
The probability of having k defectives in the sample can be written as:
Then, we can write the expression to calculate the probabilities of A: "less than 15 gadgets are mildly defective":
If we approximate this binomial distribtution to a normal distribution, we can calculate the new parameters as:
The continuity factor is applied for the change from a discrete distribution (binomial) to a continous distribution (normal). Then we have:
Now, we can calculate the probability P(A):