Answer:
I think what you meant to say is "If a triangle has 2 sides that are 4 cm and 20 cm, what are the possible lengths of the third side?"
Basically, when given 2 sides of a triangle, the third side must be GREATER than the DIFFERENCE of the other 2 sides and LESS than the SUM of the other 2 sides.
difference = 16 cm
sum = 24 cm
So, the third side must be greater than 16 cm and less than 24 cm
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
1 unit by 2 unit means area.
So, know that in area you multiply length times width, you multiply 2 and 1.
·
Which is 2
<h3>
Answer: 6 dollars per kilogram</h3>
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Explanation:
The mixed number 4 & 1/2 converts to the decimal form 4.5
The unit price is 27/(4.5) = 6 dollars per kilogram
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If you wanted, you can think of it like this ratio
4.5 kg : 27 dollars
Dividing both parts of that ratio by 4.5 will lead to
1 kg : 6 dollars
Using the binomial distribution, supposing that 0.3 of the callers have to wait more than 8 minutes to have their calls answered, it is found that there is a 0.3828 = 38.28% probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered.
For each caller, there are only two possible outcomes, either they have to wait more than 8 minutes to have their calls answered, or they do not. The probability of a caller having to wait more than 8 minutes is independent of any other caller, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 10 callers, hence

- Suppose that 0.3 of them have to wait more than 8 minutes, hence

The probability that <u>at most 2</u> of the next 10 callers will have to wait more than 8 minutes is:

Then




Then:

0.3828 = 38.28% probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered.
A similar problem is given at brainly.com/question/25537909
Answer:
The new function is g(x) = -x + 4
Step-by-step explanation:
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
∵ A function f(x) = x
∵ It is vertically translated 4 units up
→ By using the 1st rule above, the value of k = 4
∴ k = 4
∵ Its image h(x) = f(x) + k
∴ Its image h(x) = f(x) + 4
∴ Its image h(x) = x + 4
∵ Then it is reflected across the y-axis
→ By using the 2nd rule above, change the sign of x in h(x)
∵ h(x) = x + 4
∴ g(x) = h(-x)
∴ g(x) = -x + 4
∴ The new function is g(x) = -x + 4