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ycow [4]
3 years ago
8

A manufacturer estimates that the average worker can assemble products according to the function P(t)=8.47t+10t+6 where t ≥ 0 ,

t represents the number of weeks since the worker was hired, and P(t) represents the number of products the worker can assemble in an hour.
How many products can the average worker assemble per hour when he or she first starts working?
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
3 0

Answer:

24

Step-by-step explanation:

We are given an equation that estimates how many products can an average worker assemble per hour. To obtain that value we have to insert <em>t, </em>which represents how many weeks the worker is employed. We are said that the worker just started working, so the number of weeks he is employed is 1, ie. <em>t </em>= 1. If we insert that into the equation we obtain:

P(1) = 8.47*1+10*1+6

      = 8.47+10+6

      = 24.47

Therefore, the worker produces 24.47 products per hour. We will round that number and then we get the answer that the worker produces 24 products per hour.

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Identify the type of observational study​ (cross-sectional, retrospective, or​ prospective) described below. A research company
shepuryov [24]

Answer:

Cross Sectional

Step-by-step explanation:

A cross sectional is one in which an association is developed between a risk factor or an outcome.

In the given question the device is used to record the viewing habits of about 2500 ​households, and the data collected today will be used to determine  the proportion of households tuned to a particular news program. There will be risk factor in today's research with the future developed program which will the outcome.

For example there are 20 students in my class who cannot write. So I develop a program to help them write. But the next year there may not be any student who would require such help.So there's a risk factor associated with the outcome.

Cross sectional results are recorded in a two ways table showing do's and don'ts.

7 0
3 years ago
A laptop computer sells for $850. the sales tax is 7%. what is the total cost of the laptop?
evablogger [386]

Answer:

$909.50

Step-by-step explanation:

$850 x 7% = $59.50 (tax amount)

850 x (1+ 0.07) = $909.50

4 0
3 years ago
V = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D" id="TexFormula1" title="\frac{4}{3}" alt="\frac{4}{3}" align="absmi
motikmotik

Answer:

The radius of the sphere is 6\ cm

Step-by-step explanation:

we know that

The volume of a sphere is equal to

V=\frac{4}{3}\pi r^{3}

In this problem we have

V=288\pi\ cm^{3}

substitute and solve for r

288\pi=\frac{4}{3}\pi r^{3}

simplify

288*3/4=r^{3}

r^{3}=216

r=6\ cm

7 0
4 years ago
In a sample of 77 children , the mean age as at which they first began to combine words was 16.51 months
astraxan [27]

Answer:

Mean age = 1271.27

Step-by-step explanation:

No of children = 77

The age at which children first began to combine words = 16.51 months

Mean age = No of children × age at which children first began to combine words

                = 77 × 16.51

                 = 1271.27

Mean age = 1271.27

7 0
3 years ago
The perimeter of a regulation singles tennis court is 210 feet and the length is 57 feet less than five times the width.
Marianna [84]

Answer:

Length = 24 and Width = 81

Step-by-step explanation:

Let Width be W

then Length = W-57

Perimeter of rectangle = 2(Length + Width)

=2 (W-57+W)= 210

4W- 114= 210

4W= 324

W= 81

Then Length = 81-57 = 24

4 0
3 years ago
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