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bulgar [2K]
2 years ago
6

f(x)=−7x 2 +8x+2f, left parenthesis, x, right parenthesis, equals, minus, 7, x, squared, plus, 8, x, plus, 2 What is the value o

f the discriminant of fff? How many xxx-intercepts does the graph of fff have?
Mathematics
1 answer:
vlada-n [284]2 years ago
8 0

The discriminant of the function is 120, and the function has 2 different x-intercepts

<h3>How to determine the discriminant?</h3>

The function is given as:

f(x) = -7x^2 + 8x + 2

The discriminant (d) is calculated using:

D =b^2 - 4ac

So, we have:

D = 8^2 - 4 * (-7) * 2

Evaluate

D = 120

Because the value of D is greater than 0, then the function has 2 different x-intercepts

Read more about quadratic functions at:

brainly.com/question/1214333

#SPJ1

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In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts. Find the probability t
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9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

Step-by-step explanation:

For each theft, there are only two possible outcomes. Either the need to buy drugs is the reason of the theft, or it is not. Each theft is independent of each other. 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.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts.

This means that p = 0.7

Find the probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

This is P(X = 3) when n = 7. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{7,3}.(0.7)^{3}.(0.3)^{4} = 0.0972

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

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