Answer:
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Step-by-step explanation:
Answer:
- 300 -- venue cost
- 24 -- cost for each couple
- x -- the number of couples
- 24x the cost associated with all couple
- 300+24x -- the total cost for the dance
Step-by-step explanation:
Given the scenario that cost is $300 for the venue and $24 for each couple attending a dance at that venue, you want to know the meaning of the variables and terms in 300 +24x.
<h3>Comparison</h3>
You can compare the terms, coefficients, and variables in the given expression with the parts of the problem statement.
- 300 is a constant term that corresponds to "$300 for a venue rental'
- 24 is a coefficient that corresponds to "$24 for each couple"
- x is a variable representing the number of "couple that attends"
- 24x is a term representing the cost associated with "$24 for each couple that attends"
That is, the cost associated with the number of people attending is $24 times the number of couples: 24x. The expression 300+24x is the total of the fixed venue cost and the per-couple costs
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Answer:
This is a long answer. I got 82.5
Step-by-step explanation:
Area of isoceles triangle is

where b is the base and h is height.
Let draw a altuide going through Point D that split side FE into 2 equal lines. Let call that point that is equidistant from FE, H.
Since it is a altitude,it forms a right angle. So angle H=90.
Angle H is equidistant from F and E so
FH=11
EH=11.
The height is still unknown.
We can use pythagorean theorem to find side h but we need to know the slanted side or side DF to use the theorem.
Using triangle DFH, we know that angle H is 90 and angle F is 34. So using triangle interior rule,Angle D equal 56.
- We know side FH=11
- We know Angle D equal 56
- We are trying to find side DF
- We know angle H equal 90
We can use law of sines to find side DF

Plug in the numbers

sin of 90 =1 so

Side df is about 13.3 inches.
Since we know our slanted side is 13.3 we can set up our pythagorean theorem equation,





is approximately 7.5 so dh=7.5 approximately.
Now using base times height times 1/2 multiply them out


Answer:
Step-by-step explanation:
Question assumed: Find the probability that the number x of correct answers is fewer than 4.
1) Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
2) Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability: