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Contact [7]
2 years ago
12

You are planning to hire a full-time electrician who will work 40 hours per week. If you plan on giving this new hire three week

s' vacation as a benefit, how many hours will this new hire work in twelve months?

Mathematics
1 answer:
tresset_1 [31]2 years ago
5 0

Option b) 1960 is the total number of hours the electrician worked.

<u>Step-by-step explanation:</u>

It is given that, the full-time electrician will work 40 hours per week.

So, we need to know the total number of hours he could work in twelve months which is one year.

Therefore, one year has a total of 365 days.

<u>To find the number of weeks in twelve months :</u>

Number of weeks = Total days in one year / 7 days of week

⇒ 365 / 7

⇒ 52.14 (approximately 52 weeks)

The number of weeks in twelve months is 52 weeks.

Now, of this 52 weeks, the three weeks are given as vacation.

The total number of weeks the electrician worked = 52 weeks - 3 weeks

⇒ 49 weeks.

The electrician worked for 49 weeks.

To calculate the total number of hours he worked = 49 weeks × 40 hours

⇒ 1960 hours.

Therefore, the  total number of hours the electrician worked is 1960 hours which is option b).

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Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream
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Answer: 1/4

Step-by-step explanation:

Let the volume of mixture (6%fat) in cup is 100cc

x cc be the volume of cream (18% fat) in the mixture.

∴

(100−x) cc be the volume of milk (2% fat) in the mixture.

x * 0.18+(100−x) * 0.02=100

⋅0.06 or 0.18x − 0.02x = 6−2 or 0.16x

= 4 or x=25 cc = 25%

7 0
1 year ago
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In the Fall STA 2023 Beginning of the Semester Survey, students were asked how many parties they attended every week and how man
Shtirlitz [24]

Answer:

-95.78

Step-by-step explanation:

As the researcher decided to make the number of parties attended per week the explanatory variable, this would be variable x in the regression line, and of course, the variable y would be the number of text messages sent per day.

After constructing the linear regression equation, the researcher found that an approximate value \hat y for the actual value of y could be represented by the line

\hat y=64.96+25.41x

Since this is an approximate value, it is not expected that it coincides with the actual value of y. We define then the residual for each value of x as the difference between the actual value of y and the approximation for the given x.

For the value x = 2 (the student attended 2 parties that week) the actual value of y is 20 (the student sent 20 text messages per day that week).

The approximate value of y would be according to the regression line

\hat y(2)=64.96+25.41(2)=64.96+50.82=115.78

Hence, the residual value for x=2 would be

y_{real}-\hat y=20-115.78=-95.78

5 0
2 years ago
A jar contains three marbles; 1 yellow (y), 1 orange (o), and 1 red (r). Which list shows all the possible outcomes for choosing
Zarrin [17]

Answer:

see below

Step-by-step explanation:

Since we replace the marble , we can draw the same color again

yy    oo     ro

yo    oy     ry

yr     or      rr

There are 9 possible outcomes for drawing 2 marbles

5 of them have at least one yellow marble

4 1
2 years ago
Read 3 more answers
Computer upgrades have a nominal time of 80 minutes. samples of five observations each have been taken, and the results are as l
Goshia [24]
The answer:
<span>the upper and lower control limits (uclim and lclim) for mean formula is 

for the mean chart
uclim= x+A2xR
where x = sum(of the value)  / number of each value
and for 
lclim=</span>x+A2xR
<span>
R is the range such that R= Xmax - Xmin

in the case of the sample 1: S1
the data are: 
79.2    78.8   80.0   78.4   81.0

the mean is   x1 = (</span>79.2  +  78.8  +  80.0  + 78.4  + 81.0)  / 5=  79.48
<span>its range is    R 1= 81.0 -78.4 = 2.6

we can do the same method for finding the mean chart and range for all samples
</span>S2: x2=<span> 80.14  ,  R2=2.3
</span>S3: x3= 80.14  ,  R3=1.2
S4: x4= 79.60  ,  R4=1.7
S5: x5= 80.02  ,  R5=2.0
S6: x6=80.38   ,  R6=1.4
<span>
therefore the average value is   X= sum( x1+x2+...+x6) / 6 = 79.96
and R=sum(R1+R2+...+R6)/6=1.87
finally
range chart uclim =D4xR=3.95  and lclim is always equal to 0, because D3=0

we can say that the process is not in control.
       




</span>
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1.Write down the short-hand for these two normal distributions. The Verbal Reasoning section has a distribution N( , ) The Quant
IRINA_888 [86]

Answer:

Step-by-step explanation:

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