<em>The discriminant must be zero.</em>
Step-by-step explanation:
A Perfect-Square Trinomial is given by the form:

The discriminant in the quadratic formula is:

So in order to get a perfect square,<em> the discriminant must be zero.</em>
<em></em>
<h2>
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Discriminant: brainly.com/question/1537997
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Answer:
Volume of one Bugle => 462.8 mm³
Volume of 18 Bugles => 8,330.4 mm³
Volume formula for a cone => ⅓πr²h
Step-by-step explanation:
Volume of one bugle = volume of cone (V) = ⅓πr²h
Where,
r = 5.1 mm
h = 17 mm
Volume of one Bugle = ⅓*π*5.1²*17 = 462.8 mm³
Volume of 18 Bugles = 462.8 × 18 = 8,330.4 mm³
Answer:
14.25 ft
Step-by-step explanation:
1 inch of the model represents 18 inches of the real car. The car's dimensions are 18 times larger than the model's dimensions. Multiply the model dimension by 18 to find the corresponding real dimension.
9 1/2 * 18 = 9.5 * 18 = 171
The actual car is 171 inches long.
Now we need to convert 171 inches to ft.
1 ft = 12 in.
Since we want to eliminate inches and end up with feet, we divide both sides by 12 in.
(1 ft)/(12 in.) = 1
The conversion factor is (1 ft)/(12 in.) to go from inches to feet.
171 in. * (1 ft)/(12 in.) = 14.25 ft
Answer: 14.25 ft
Answer:
0.0545 = 5.45% probability that exactly seven are retired people.
Step-by-step explanation:
For each stock investor, there are only two possible outcomes. Either they are retired people, or they are not. Stock investors 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.
20% of all stock investors are retired people.
This means that 
a. What is the probability that exactly seven are retired people?


0.0545 = 5.45% probability that exactly seven are retired people.