First, find the number of shaded blocks.
shaded blocks = 8 × 3
shaded blocks = 24
There are 24 shaded blocks
Second, find the number of the blocks
all blocks = 8 × 10
all blocks = 80
There are 80 blocks in total.
Third, write a fraction defining the shaded blocks compare to the blocks in total
fraction = 24/80
simplify
fraction = 3/10
Fourth, change the fraction into percent
Percent means per hundred. Change the denominator to 100
fraction = 3/10
percent = (3 × 10) / (10 × 10)
percent = 30/100
percent = 30%
The percentage of the blocks shaded in the picture is 30%
Answer:
0 tests
Yes, this procedure is better on the average than testing everyone, it makes it less cumbersome.
Step-by-step explanation:
Given the information:
Let P be the probability that a randomly selected individual has the disease = 0.1. N individuals are randomly selected, thereafter, blood samples of each person would be tested after combining all specimens. Should in case one person has the disease then it yields a positive result and test should be set for each person.
Let Y be number tests
For n = 3 there are two possibilities. If no one has the disease then the value is 1 otherwise the value is 4, here P = 0.1
Therefore, for Y = 1
P(Y-1) = P(no one has disease)
= 0.9³
= 0.729
If Y = 4
P(Y-4) = 1-P(y = 1)
= 1 - 0.729 = 0.271
The expected number of tests using this formular gives
E(Y) = 1×0.729 + 4×0.271
E(Y) = 0
Answer:
1cm to 200cm
Step-by-step explanation:
l of giraffe = 6m = 600cm
l of giraffe drawing = 3cm
scale = drawing : real = 3 : 600 = 1 : 200
Therefore the scale is 1cm to 200cm
Answer with Step-by-step explanation:
Let 
Substitute n=2
Then 
Hence, P(n) is true for n=2
Suppose that P(n) is true for n=k >1
Now, we shall prove that p(n) is true for n=k+1
LHS
Substitute the value of P(k)
LHS=RHS
Hence, P(n) is true for all n >1.
Hence, proved
