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KatRina [158]
3 years ago
16

Nik, a social worker for a county, helps county residents who are struggling with different issues. Nik logs the following hours

meeting with clients (c) or doing other work (o):_______
Mon: 6 c, 4 o
Tue: 8 c, 2 o
Wed: 9 c, 1 o
Thu: 7 c, 3 o
Fri: Off
What percent of time did Nik spend with clients on Thursday?
a. 10%
b. 70%
c. 30 %
d. 80%
Mathematics
1 answer:
NARA [144]3 years ago
5 0

Answer: b. 70%

Step-by-step explanation:

Given : Nik logs the following hours meeting with clients (c) or doing other work (o) :

Mon: 6 c, 4 o

Tue: 8 c, 2 o

Wed: 9 c, 1 o

Thu: 7 c, 3 o

Fri: Off

The number of hours Nik spend with clients on Thursday = 7 [Number of corresponding to c is 7 in the table]

Total hours he spend in work on Thursday =  7+3 = 10

The percent of time Nik spent with clients on Thursday :

\dfrac{\text{Number of hours he spent with clients}}{\text{Total works he work on Thursday}}\times100\\\\=\dfrac{7}{10}\times100=7\times10\%=70\%

Hence, the Nik spent 70% of his time with clients on Thursday.

Thus , the correct option is b. 70%.

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Greeley [361]

Answer:

w = 3

Step-by-step explanation:

19w - 1 = 11w + 23

19w - 11w = 23 + 1

8w = 24

w = 3

4 0
3 years ago
Find the equation in standard form , of the line passing through points (2,-3) and (4,2)
Fudgin [204]

The form of linear equation that describes line is:

y=sx+n

First we must calculate the slope.

s=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{2-(-3)}{4-2}=\dfrac{5}{2}

Now it looks a bit more like this:

y=\dfrac{5}{2}x+n

All we need now is to put in y and x from one point doesn't matter which. I'll pick A.

The equation now looks like this:

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Solve for n.

-3=5+n \\n=-8

And finally write the equation.

f(x)=\dfrac{5}{2}x-8

Hope this helps.

r3t40

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3 years ago
Construct a scatterplot and identify the mathematical model that best fits the data. Assume that the model is to be used only fo
prisoha [69]

Answer:

i)

Find the attached

ii)

The mathematical model that best fits the data is;

y = 7.19 + 12.8 ln x

Step-by-step explanation:

i)

A scatter-plot can easily be constructed using applications such as Ms. Excel and Stat-Crunch.

In Ms. Excel we first enter the data in any two adjacent columns. Next, highlight the data, then click the insert ribbon and select the scatter-plot option.

Excel returns a scatter-plot chart as shown in the attachment below.

ii)

After obtaining the scatter-plot, we shall need to add a trend line in order to determine the mathematical model that best fits the data given.

Click anywhere inside the chart, then select the design tab under chart tools. Click on the Add Chart element in the upper left corner of the excel workbook and select more trend-line options. This feature will enable us to fit any trend-line to our data.

Select any trend line option ensuring you check the boxes; Display Equation on chart and Display R-squared value on chart.

Find the attached for the various trend-lines.

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y = 7.19 + 12.8 ln x

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Artyom0805 [142]

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Step-by-step explanation:

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3 years ago
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Basile [38]

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Step-by-step explanation:

SOH-CAH-TOA

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