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Damm [24]
3 years ago
5

(03.06 LC) The function f(x) = −4(x+1)2+21-4(x+1)2+21 has been rewritten using the completing-the-square method. The function g(

x) = 2x2+x−552x2+x-55. Which vertex for each function has a minimum or a maximum? What is the vertex for each function? Explain your reasoning for each function (10 points)
Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0
The functions f(x) = –(x<span> − </span>1)2<span> + 5 and </span>g(x) = (x<span> + </span>2)2<span> − 3 </span>have been rewritten using<span> the</span>completing-the-square method<span>.</span>
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Use technology or a z-distribution table to find the indicated area.
katrin [286]
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A z-score of about -0.53 is position on the normal distribution for finding the amount above 30% (70%).

Therefore, we can write and solve the following equation:

(x - 15) / 5.2 = -0.53
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The closest amount is 12.3.
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The director of the library calculates that 29% of the library's collection is checked out. If the director is right, what is th
marusya05 [52]

Answer:

The probability that the proportion of books checked out in a sample of 412 books would differ from the population proportion by less than 4% is P=0.9255.

Step-by-step explanation:

The population's proportion is \pi=0.29

If we take a sample of 412 books (n=412), we have a standard deviation of the sampling distribution of:

\sigma_M=\sqrt{\frac{\pi(1-\pi)}{n}}=\sqrt{\frac{0.29*0.71}{412}}=\sqrt{0.0005} =0.0224

We have to calculate the probabilty that the sample proportion will be between 0.25 and 0.33.

z_1=(0.25-0.29)/0.0224=-0.04/0.0224=-1.7857\\\\z_2=1.7857\\\\\\P(0.25

8 0
3 years ago
Help identify measure of arc UV
weqwewe [10]
M<UWV =180- 99 -36= 45
45 = 1/2(94+20- arcUV)
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answer is B. 24

6 0
3 years ago
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erastova [34]

Answer:

14. 125

15. 72

16. 60

Step-by-step explanation:

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Hopes this helps you!!

3 0
3 years ago
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