Answer:
No. Operations manager cannot conclude that his mail-order business is achieving its goal.
Step-by-step explanation:
We make hypothesis test about the manager's assuption:
Null hypothesis,
: Average number of days to fill customers' orders is six or less
Alternate Hypothesis:
: Average number of days to fill customers' orders is more than six.
According to the null hypothesis we assume number of days to fill customers' orders follows a normal distribution with mean 6 and standard deviation 1.5. We would test if the sample mean is in the critical field or not in the given significance level.
One tailed critical value for the significance level 0.025 is 1.96. We'll compare this value with the z-score of the sample mean 6.65, which is calculated as:
z=
≈ 2.74 where
- 6,65 is the sample mean
- 6 is the null hypothesis
- 1.5 is the standard deviation
- 40 is the sample size
Since 2.74>1.96, we can conclude that sample mean is in the critical region, we reject the null hypothesis.
Therefore operations manager can conclude that average number of days to fill customers' orders is more than 6 days.
Answer:
![m =5](https://tex.z-dn.net/?f=m%20%3D5)
Step-by-step explanation:
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The "<em>constant rate of change</em>" is also known as the slope (in straight line equations).
The equation is in <em>slope-intercept form</em>.
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<em>Slope-Intercept Form is: </em>
<em></em>![y = mx + b\\ \rule{150}{0.5}\\ \text{m - slope}\\ \text{b - Y-Intercept}](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b%5C%5C%0A%5Crule%7B150%7D%7B0.5%7D%5C%5C%0A%5Ctext%7Bm%20-%20slope%7D%5C%5C%0A%5Ctext%7Bb%20-%20Y-Intercept%7D)
================================================
<em>Since '5' takes up 'm's spot, it is the slope, or the constant rate of change. </em>
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<em>Hope this helps.</em>
Answer:
Two Angles are Supplementary when they add up to 180 degrees.
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
Answer:
![\huge{ \fbox{ \sf{5b + 9}}}](https://tex.z-dn.net/?f=%20%5Chuge%7B%20%5Cfbox%7B%20%5Csf%7B5b%20%2B%209%7D%7D%7D)
Step-by-step explanation:
![\star{ \text{( \: 3b + 5) + (2b + 4)}}](https://tex.z-dn.net/?f=%20%5Cstar%7B%20%5Ctext%7B%28%20%5C%3A%203b%20%2B%205%29%20%2B%20%282b%20%2B%204%29%7D%7D)
![\text{Step \: 1 \: : \sf{Remove \: the \: unnecessary \: parentheses}}](https://tex.z-dn.net/?f=%20%5Ctext%7BStep%20%5C%3A%201%20%5C%3A%20%20%3A%20%20%5Csf%7BRemove%20%5C%3A%20the%20%5C%3A%20unnecessary%20%5C%3A%20parentheses%7D%7D)
![\text{When \: there \: is \: a \: ( + ) \: in \: front \: of \: an \: expression \: in \: parentheses \:, there \: is \: no \: need \: to \: change \: the \: sign \: of \: each \: term \: in \: the \: expression.}](https://tex.z-dn.net/?f=%20%20%5Ctext%7BWhen%20%5C%3A%20there%20%5C%3A%20is%20%5C%3A%20a%20%5C%3A%20%28%20%2B%20%29%20%5C%3A%20in%20%5C%3A%20front%20%5C%3A%20of%20%5C%3A%20an%20%5C%3A%20expression%20%5C%3A%20in%20%5C%3A%20parentheses%20%5C%3A%2C%20there%20%5C%3A%20is%20%5C%3A%20no%20%5C%3A%20need%20%5C%3A%20to%20%5C%3A%20change%20%5C%3A%20the%20%5C%3A%20sign%20%5C%3A%20of%20%5C%3A%20each%20%5C%3A%20term%20%5C%3A%20in%20%5C%3A%20the%20%5C%3A%20expression.%7D)
![\text{That \: means, \: the \: expression \: remains \: the \: same. \: Just \: you \: have \: to \: remove \: the \: parentheses.}](https://tex.z-dn.net/?f=%20%5Ctext%7BThat%20%5C%3A%20means%2C%20%5C%3A%20the%20%5C%3A%20expression%20%5C%3A%20remains%20%5C%3A%20the%20%5C%3A%20same.%20%5C%3A%20Just%20%5C%3A%20you%20%5C%3A%20have%20%5C%3A%20to%20%5C%3A%20remove%20%5C%3A%20the%20%5C%3A%20parentheses.%7D)
![\mapsto{ \sf{3b + 5 + 2b + 4}}](https://tex.z-dn.net/?f=%20%5Cmapsto%7B%20%5Csf%7B3b%20%2B%205%20%2B%202b%20%2B%204%7D%7D)
![\text{Step \: 2 \: : Collect \: like \: terms.}](https://tex.z-dn.net/?f=%20%5Ctext%7BStep%20%5C%3A%202%20%5C%3A%20%20%3A%20Collect%20%5C%3A%20like%20%5C%3A%20terms.%7D)
![\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}](https://tex.z-dn.net/?f=%20%5Ctext%7BLike%20%5C%3A%20terms%20%5C%3A%20are%20%5C%3A%20those%20%5C%3A%20which%20%5C%3A%20have%20%5C%3A%20the%20%5C%3A%20same%20%5C%3A%20base.%7D)
![\mapsto{ \sf{3b + 2b + 5 + 4}}](https://tex.z-dn.net/?f=%20%5Cmapsto%7B%20%5Csf%7B3b%20%2B%202b%20%2B%205%20%2B%204%7D%7D)
![\mapsto{ \sf{5b + 5 + 4}}](https://tex.z-dn.net/?f=%20%5Cmapsto%7B%20%5Csf%7B5b%20%2B%205%20%2B%204%7D%7D)
![\text{ Step \: 3 \: : \sf{Add \: the \: numbers : 5 \: and \: 4}}](https://tex.z-dn.net/?f=%20%5Ctext%7B%20Step%20%5C%3A%203%20%5C%3A%20%20%3A%20%20%5Csf%7BAdd%20%5C%3A%20the%20%5C%3A%20numbers%20%3A%205%20%5C%3A%20and%20%5C%3A%204%7D%7D)
![\mapsto{ \boxed {\sf{ {5b + 9}}}}](https://tex.z-dn.net/?f=%20%5Cmapsto%7B%20%5Cboxed%20%7B%5Csf%7B%20%7B5b%20%2B%209%7D%7D%7D%7D)
Hope I helped!
Best regards! :D
~![\sf{TheAnimeGirl}](https://tex.z-dn.net/?f=%20%5Csf%7BTheAnimeGirl%7D)