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riadik2000 [5.3K]
2 years ago
15

Select the correct answer from each drop-down menu. f(x) = x2 − 8x + 15 g(x) = x − 3 h(x) = f(x) ÷g(x)

Mathematics
2 answers:
Serggg [28]2 years ago
8 0

The answer is x - 5

To solve (x^2 - 8x + 15) /(x - 3) you factor the numerator and denominator and cancel the common factors.

antoniya [11.8K]2 years ago
4 0

h(x) = x-5 . The domain of h(x) is (- infinity,3)  U (3, infinity).

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The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United Sta
earnstyle [38]

Answer:

The probability that none of the meals will exceed the cost covered by your company is 0.2637.

Step-by-step explanation:

A hyper-geometric distribution is used to define the probability distribution of <em>k</em> success in <em>n</em> samples drawn from a population of size <em>N</em> which include <em>K</em> success. Every draw is either a success of failure.

The random variable <em>X</em> = number of meals that will exceed the cost covered by the company.

The random variable <em>X</em> follows a hyper-geometric distribution.

The information provided is:

N = 15

K = 3

n = 5

k = 0

The probability mass function of a hyper-geometric distribution is:

P(X=k)=\frac{{K\choose k}{N-K\choose n-k}}{{N\choose n}}

Compute the probability that none of the meals will exceed the cost covered by your company as follows:

P(X=0)=\frac{{3\choose 0}{15-3\choose 5-0}}{{15\choose 5}}=\frac{1\times 792}{3003}=0.2637

Thus, the probability that none of the meals will exceed the cost covered by your company is 0.2637.

3 0
3 years ago
13. Which of the following is the graph of y = 3(1⁄5)x?
Fittoniya [83]

Answer:

Second graph

Step-by-step explanation:

The second graph is the correct one.  Why?  because the y intercept is (0, 3), and also because the base, 1/5, is between 0 and 1, which leads to a decaying exponential graph.

6 0
2 years ago
What binomial is a factor of 6x sqaured + 48x + 96?
Stella [2.4K]
6x² + 48x + 96
6(x² + 8x + 16)

6(x + 4)(x + 4) is your polynomial fully factored so I'm guessing the binomial you're looking for is (x + 4). 
5 0
3 years ago
X+3=15 what’s x because I keep on getting 18 and it says I’m wrong on Pearson
icang [17]

Answer:

x = 12

Step-by-step explanation:

Subtract 3 from both sides

p.s. it would be 18 if it was x-3 = 15

8 0
3 years ago
Read 2 more answers
student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te
alexdok [17]

Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = \frac{1}{4}.

Thus, the probability that the student does not receive version A = 1-\frac{1}{4} = \frac{3}{4}.

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}

= (\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5

= (\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]

= (\frac{3}{4^4})[1+\frac{1}{16}]

= (\frac{3}{256})[\frac{17}{16}]

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

4 0
3 years ago
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