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Mnenie [13.5K]
2 years ago
7

"There are 3 teams of 18 employees working today. Company policy says that we need to have 1 supervisor for every 8 employees on

the floor. There are a few supervisors who are out sick so I hope we have enough." Supervisor: "We need __________ supervisors working tonight so we should be OK."
Mathematics
2 answers:
lesya692 [45]2 years ago
8 0
They need 6 supervisors
alexdok [17]2 years ago
7 0

Answer:

Number of supervisors needed in the company = 7

Step-by-step explanation:

Number of employees working in each team = 18

Number of total teams on the floor = 3

So, total number of employees working on the floor = 3 × 18 = 54

Now, it is given that for every 8 employees the company needs a 1 supervisor

⇒ 8 employees need 1 supervisor

\text{1 employee needs }\frac{1}{8}\text{ supervisors}\\\\\text{So, 54 employees needs }\frac{1}{8}\times 54}=6.75\text{ supervisors}

Since, The number of supervisors cannot be in the form of decimals

⇒ Number of supervisors needed in the company = 7

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Which of the following are feasible equations of a least squares regression line for number of dollars left in an endowment prov
Nuetrik [128]

Answer:

d. y ˆ =269,000−8300x

Step-by-step explanation:

If the regression describes the amount of dollars left after a single donation as a function of time, the regression must consist of a positive lump sum subtracted by an yearly rate. This rules out alternatives a, c, and e.

Since this equation must represent the amount left after 10 years, it must yield a positive value up to at least x = 10.

For equation b., when x = 10:

y=69,000-8,300*10\\y=-14,000

For equation d., when x = 10:

y=269,000-8,300*10\\y=186,000

Therefore, the only possible answer is d. y ˆ =269,000−8300x

5 0
2 years ago
explain how the graph of y=-2sin(x)-1 differs from the parent function. Make sure to compare key points used for graphing
Anna35 [415]
You can obtain the graph of the function y=-2sinx-1 from the graph of the function y=sinx making such transformations:
1.  <span>the multiplication by -2 increases y value twice and then  symmetrically reflects the graph y=2sinx about the x-axis;</span>
2. adding -1 to the  <span>y=-2sinx you translate the graph 1 unit down.
</span><span>
</span><span>On the added picture black line is a graph of y=sinx and red line is a graph of y=-2sinx-1.</span>

Check:
1. When x=0, y=-2sin0-1=-1;
2. When x= \frac{3\pi}{2}, then y=-2\sin  \frac{3\pi}{2} -1=-2(-1)-1=2-1=1.


5 0
2 years ago
A study is planned to compare the proportion of men who dislike anchovies with the proportion of women who dislike anchovies. Th
andrey2020 [161]

Answer:

The requirements are satisifed since we have the proportion estimated, the sample sizes provided, we assume random sampling for the selection of the data and the distribution for the difference of proportions can be considered as normal

z=\frac{0.67-0.84}{\sqrt{0.755(1-0.755)(\frac{1}{41}+\frac{1}{56})}}=-1.923  

Step-by-step explanation:

The requirements are satisifed since we have the proportion estimated, the sample sizes provided, we assume random sampling for the selection of the data and the distribution for the difference of proportions can be considered as normal

Data given and notation  

n_{M}=41 sample of male selected

n_{W}=56 sample of demale selected

p_{M}=0.57 represent the proportion of men who dislike anchovies

p_{WCB}=0.84 represent the proportion of women who dislike anchovies

z would represent the statistic (variable of interest)  

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

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion for men is different from women  , the system of hypothesis would be:  

Null hypothesis:p_{M} = p_{W}  

Alternative hypothesis:p_{M} \neq p_{W}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}   (1)

Where \hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{0.67+0.84}{2}=0.755

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.67-0.84}{\sqrt{0.755(1-0.755)(\frac{1}{41}+\frac{1}{56})}}=-1.923  

4 0
2 years ago
Let x stand for the length of an individual screw. 100 screws were sampled at a time. The population mean is 2.5 inches and the
goldfiish [28.3K]

Answer:

The mean is defining the average length(2.5in) of the 100 measured screws.

Step-by-step explanation:

The mean is usually calculated in order to determine the average of a set of values.

8 0
2 years ago
Pam served her apple pie on a 13 inch diameter dish. She wanted to tie a ribbon around the dish to make it a little more festive
zlopas [31]

Answer:

Length of ribbon = 40.86 inches

Step-by-step explanation:

Length of the ribbon = circumference of the dish = πD

D = diameter = 13 inches

Length of ribbon = 22/7 x 13 = 40.857143 inches

8 0
2 years ago
Read 2 more answers
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