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VashaNatasha [74]
2 years ago
11

Use (x-3)^2 -6 to solve x^2-6x+3=0 leave your answer in surd form

Mathematics
1 answer:
Mrac [35]2 years ago
8 0

Answer:

x=3\pm\sqrt{6}

Step-by-step explanation:

(x-3)^2-6=0

(x-3)^2=6

x-3=\pm\sqrt{6}

x=3\pm\sqrt{6}

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The manager of a supermarket would like to determine the amount of time that customers wait in a check-out line. He randomly sel
garri49 [273]

Complete question:

The manager of a supermarket would like to determine the amount of time that customers wait in a check-out line. He randomly selects 45 customers and records the amount of time from the moment they stand in the back of a line until the moment the cashier scans their first item. He calculates the mean and standard deviation of this sample to be barx = 4.2 minutes and s = 2.0 minutes. If appropriate, find a 90% confidence interval for the true mean time (in minutes) that customers at this supermarket wait in a check-out line

Answer:

(3.699, 4.701)

Step-by-step explanation:

Given:

Sample size, n = 45

Sample mean, x' = 4.2

Standard deviation \sigma = 2.0

Required:

Find a 90% CI for true mean time

First find standard error using the formula:

S.E = \frac{\sigma}{\sqrt{n}}

= \frac{2}{\sqrt{45}}

= \frac{2}{6.7082}

SE = 0.298

Standard error = 0.298

Degrees of freedom, df = n - 1 = 45 - 1 = 44

To find t at 90% CI,df = 44:

Level of Significance α= 100% - 90% = 10% = 0.10

t_\alpha_/_2_, _d_f = t_0_._0_5_, _d_f_=_4_4 = 1.6802

Find margin of error using the formula:

M.E = S.E * t

M.E = 0.298 * 1.6802

M.E = 0.500938 ≈ 0.5009

Margin of error = 0.5009

Thus, 90% CI = sample mean ± Margin of error

Lower limit = 4.2 - 0.5009 = 3.699

Upper limit = 4.2 + 0.5009 = 4.7009 ≈ 4.701

Confidence Interval = (3.699, 4.701)

5 0
3 years ago
What is the Inverse operation needed to solve for p?<br> 765 = p - 254
KATRIN_1 [288]

Answer:

addition of 254 to both side

4 0
2 years ago
Read 2 more answers
I Need HELP!<br><br>how do you figure out 22/7=5/X
Oksana_A [137]
\frac{22 }{7}= \frac{5}{x} \\ \\ x\neq 0 \\ \\ 22x=7*5\\ \\22x=35 \ \ /:22 \\ \\x=\frac{35}{22}\\ \\x=1\frac{23}{25}
5 0
3 years ago
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually g
vredina [299]

Answer:

Range : { -3,0,4,6}

Step-by-step explanation:

The range of the function is the output values

Range : { -3,0,4,6}

5 0
2 years ago
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What is the input if the output is 0 ?
Elodia [21]

In other words, what is <em>y</em> if <em>x</em> is 0.

Look on the graph, a line passes through point, A(x,y)\longrightarrow A(0,-3)

So we can conclude that at that very point the input <em>x</em> was 0 and the output <em>y</em> was -3 therefore,

\boxed{f(-3)=0}

Hope this helps.

<u>r3t40</u>

6 0
3 years ago
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