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3 years ago

Function: y = x^2+ 5x - 7 Vertex:( Solutions:( and

Mathematics

1 answer:

tino4ka555 [31]3 years ago

8 0

Answer:

Vertex: $(-\frac{5}{2} , -\frac{53}{4})$

Solutions: (0,-7), (1, -1), (2, 7)

I hope this helps!

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Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit.

madam [21]

The binomial coefficients are 1,5,10,10,5,1 (5/0, 5/1, 4/2, 3/3, 2/4, 1/5)

x^5-25x^4+250x^3-1250x^2+3125x-3125

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3 years ago

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According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. 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.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

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3 years ago

Alisha asked 120 students what kind of pet they liked the most. Exactly 45% of the students said they liked dogs best. What was

7nadin3 [17]

Answer: 54 liked best

Step-by-step explanation: None

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3 years ago

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Explain why you rename 4 1/4 to find 4 1/4- 3/4

Hitman42 [59]

Answer:

Because it is a mixed fraction and it should be renamed in order to solve your problem, for the other one CAN NOT be converted into a mixed fraction.

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2 years ago

simple interest = P × r × t Perry earns 5 percent simple interest annually on his savings account. How much interest will Perry

vagabundo [1.1K]

P = $650
r = 5% annually = 0.05
t = 1 month = 1/12 year

SI = Prt = 650 * 0.05 * 1/12 = $2.7

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3 years ago