What is the area of triangle DEF
1 answer:
Answer:
76.5 cm²
Step-by-step explanation:
Given the triangles are similar , then
ratio of sides = a : b , so
ratio of areas = a² : b²
Here ratio of sides = 9 : 13.5 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ DEF and using proportion
=
( cross- multiply )
4x = 306 ( divide both sides by 4 )
x = 76.5
The area of Δ DEF = 76.5 cm²
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Answer:
Fraction: 8
Decimal: 8.55
Step-by-step explanation:
8 11/20 is the answer because:
1) Since 8 is the whole number, 8 wouldn't be part of the fraction
2) The numerator is the top number in the fraction, so 11 is at the top since 11 is the numerator
3) The denominator is the bottom number in the fraction, so 20 is at the top since 20 is the denominator
8.55 is the answer because:
1) Since 8 is the whole number, 8 would be in front of the decimal point
2) When you multiply the fractions, you have to multiply until you get a hundred. Therefore, 20*5 = 100 and 11*5 = 55
Hope this helps!
Answer:
The probability that you get zero questions correct is 0.4096
The probability that you get one questions correct is 0.4096
The probability that you get three questions correct is 0.0256
Step-by-step explanation:
These probability can be describe with a Binomial Distribution. These distribution can be used when we have n identical and independent situations in which there is a probability p or probability of success and a probability q or probability of fail. Additionally q is equal to 1 - p. The probability of x for a situation in which we can apply binomial distribution is:
Where x is the variable that says the number of success in the n situations
And nCx is calculate as:
From the question we can identify that:
- n is equal to 4 multiple choice question
- p is 1/5 or 0.2, the probability of get one question correct
- q is 4/5 or 0.8, the probability of get one question incorrect
Then the probability of get zero questions correct of 4 questions is:
The probability of get one question correct of 4 questions is:
The probability of get three questions correct of 4 questions is: