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VARVARA [1.3K]
3 years ago
5

3. x2 - 6x + 9 = 0Are the real​

Mathematics
1 answer:
liberstina [14]3 years ago
8 0

Answer:

1 real solution: x=3

Step-by-step explanation:

By factoring:

x^2-6x+9=0

(x-3)^2=0

x-3=0

x=3

So yes there's 1 real solution which is x=3.

You can also check the discriminant:

b^2-4ac

(-6)^2-4(1)(9)

36-36

0

Since the discriminant is 0, there can only be 1 real solution.

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DIA [1.3K]
1)<span>sixty-five hundredths
2)</span><span>twelve and thirty-one hundredths
3)</span><span>six hundred ninety-two and fourteen hundredths
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8 0
3 years ago
Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round y
kupik [55]

Answer:

75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5 pounds.

Step-by-step explanation:

The question is missing. It is as follows:

Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains had the following weights (pounds): 69  104  125  129  60  64

Assume that the population of x values has an approximately normal distribution.

Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round your answers to one decimal place.)

75% Confidence Interval can be calculated using M±ME where

  • M is the sample mean weight of the wild mountain lions (\frac{69 +104 +125 +129+60 +64}{6} =91.8)
  • ME is the margin of error of the mean

And margin of error (ME) of the mean can be calculated using the formula

ME=\frac{t*s}{\sqrt{N} } where

  • t is the corresponding statistic in the 75% confidence level and 5 degrees of freedom (1.30)
  • s is the standard deviation of the sample(31.4)
  • N is the sample size (6)

Thus, ME=\frac{1.30*31.4}{\sqrt{6} } ≈16.66

Then 75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5

3 0
3 years ago
Christopher can eat 8 bags of skittles in 5 minutes. What is his rate per minute? Round your answer to the nearest hundredth. At
Dennis_Churaev [7]
<span>8/5 = 1.6 bag per minute

8 bags of skittles in 5 minutes
?                              10 minutes

8 x 10 / 5 
= 80 /5
= 16

answer
</span>1.6 bag per minute
<span>and
16 bags in 10 minutes</span>
7 0
4 years ago
Help help help help help please
iris [78.8K]

Answer:

37

Step-by-step explanation:

h + 4g

5 + 4(8)

5 + 32 = 37

4 0
3 years ago
Solve: 2x + 27 = 3x - 9
bija089 [108]
  • Answer:

<em>x = 36</em>

  • Step-by-step explanation:

<em>2x + 27 = 3x - 9</em>

<em>27 + 9 = 3x - 2x</em>

<em>x = 36</em>

6 0
4 years ago
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