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Basile [38]
2 years ago
15

Kaitlyn can build a shed in 6 days. Mark can build the same shed in 8 days. Which equation can be used to find d, the number of

days it would take Kaitlyn and Mark to build the shed together? Rate (Sheds per Day) Time (Days) Fraction Completed Kaitlyn One-sixth d One-sixth dd Mark One-eighth d One-eighth dd One-sixth d minus one-eighth d = 48 One-sixth d + one-eighth d = 48 One-sixth d minus one-eighth d = 1 One-sixth d + one-eighth d = 1
Mathematics
2 answers:
KIM [24]2 years ago
8 0

Answer:

  One-sixth d + one-eighth d = 1

Step-by-step explanation:

When they work together, their rates of completion add. They want to build one shed, so the number of sheds being built is ...

  (Kaitlyn's sheds per day)×(days Kaitlyn works) +(Mark's sheds per day)×(days Mark works) = 1 shed

  (1/6)d + (1/8)d = 1 . . . . matches the last choice

aliya0001 [1]2 years ago
6 0
The awnser would be 1
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2 years ago
From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that ag
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Answer:

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we to reject the null hypothesis, and the the actual mean starting age of smokers is significantly lower than 19.      

Step-by-step explanation:

1) Data given and notation      

\bar X=18.1 represent the mean age when smokers first start to smoke varies  

s=1.3 represent the standard deviation for the sample  

\sigma=2.1 represent the population standard deviation  

n=37 sample size      

\mu_o =5.7 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the mean starting age is at least 19, the system of hypothesis would be:      

Null hypothesis:\mu\geq 19      

Alternative hypothesis:\mu < 19      

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:      

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)      

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic      

We can replace in formula (1) the info given like this:      

z=\frac{18.1-19}{\frac{2.1}{\sqrt{37}}}=-2.607      

Calculate the P-value      

Since is a one-side lower test the p value would be:      

p_v =P(z  

Conclusion      

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ratelena [41]

Answer:

Step-by-step explanation:

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The confidence interval is used to determine the range of values that could possibly contain a population parameter (population mean)

Confidence interval is written in the form,

(Point estimate - margin of error, Point estimate + margin of error)

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The upper boundary of the confidence interval is

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99% of the confidence intervals constructed in this way would contain the true value for the population mean of mean weekly child care cost of their employees.

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