1. You will have to find the height first which could be done by using pythagoras theorem
split the 12 by half giving 6
a^2 = b^2 + c^2
13^2 = 6^2+c^2
169 = 36+c^2
c^2=169-36
c^2=133
c=sqrt133
c= 11.53
area of triangle
1/2 x b x h
1/2 x 6 x 11.53
34.59
34.5(3 sf)
Answer:
0.6173 = 61.73% probability that the product operates.
Step-by-step explanation:
For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
An electronic product contains 48 integrated circuits.
This means that 
The probability that any integrated circuit is defective is 0.01.
This means that 
The product operates only if there are no defective integrated circuits. What is the probability that the product operates?
This is P(X = 0). So
0.6173 = 61.73% probability that the product operates.
Answer: 1 in 18
This is the same as writing the fraction 1/18
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Explanation:
Since she has 36 marbles total, and the probability of picking green is 1 in 2, this means (1/2)*36 = 18 marbles are green.
Then she also has (1/3)*36 = 12 red marbles and (1/9)*36 = 4 blue marbles.
So far, that accounts for 18+12+4 = 34 marbles in all. That leaves 36-4 = 2 marbles left over that must be black, as it's the only color left.
From that, the probability of choosing a black marble is 2/36 = 1/18.
There's a 1 in 18 chance of Maddy picking a black marble.
1/18 = 0.0556 = 5.56% approximately
Answer:
y=15
Step-by-step explanation:
The formula for direct variation is
y = kx
5 =k*2
Solve for k
Divide by 2
5/2 = k
y = 5/2 x
Now we substitute x=6
y = 5/2(6)
y = 15
