Answer:
1 < x < 7.5
Step-by-step explanation:
This problem can be solved using given below property of triangle.
Sum of two sides is always greater than third side of triangle.
Difference of two sides is always lesser than third side of triangle.
_______________________________________________
Given
sides length
6.5 units
3.5 units
Third side is 2.5 + x
using the property, Sum of two sides is always greater than third side of triangle.
6.5 + 3.5 > 2.5 +x
=>10 >2.5 + x
=>2.5 + x< 10
=> x< 10 -2.5
=> x < 7.5
using the property, Difference of two sides is always lesser than third side of triangle.
6.5 - 3.5 > 2.5 +x
=>3.5 > 2.5 +x
=> 2.5 +x > 3.5
=> x > 3.5 - 2.5
=> x > 1
combining both we have
1 < x < 7.5
out of the given option none is 1 < x < 7.5
hence, correct answer will be 1 < x < 7.5 and wrong option can be claimed by student.
Answer:
0.25% probability that they are both defective
Step-by-step explanation:
For each computer chip, there are only two possible outcomes. Either they are defective, or they are not. The probability of a computer chip being defective is independent of other chips. So 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.
5% of the computer chips it makes are defective.
This means that 
If an inspector chooses two computer chips randomly (meaning they are independent from each other), what is the probability that they are both defective?
This is P(X = 2) when n = 2. So


0.25% probability that they are both defective
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: A gardener would need 1470 flowers.
Step-by-step explanation:
The answer is 1470 flowers because it’s just a ratio for every one tree there’s two flowers.
Answer:
5/6
Step-by-step explanation:
The ratio is:
45 / 54
Or, reduced:
5 / 6