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il63 [147K]
3 years ago
8

Kathy is a repair technician for a phone company. each week, she receives a batch of phones that need repairs. the number of pho

nes that she has left to fix at the end of each day can be estimated with the equation p=108−23d, where ppp is the number of phones left and ddd is the number of days she has worked that week. what is the meaning of the value 108108108 in this equation?
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0
We have equation:
p=108-23d

p = number of phones left to repair
108 = initial amount at the start of week
23 = number of phones repaired each day
d = number of days she worked that week
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Connecticut families were asked how much they spent weekly on groceries. Using the following data, construct and interpret a 95%
Amanda [17]

Answer:

The 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

Step-by-step explanation:

The data for the amount of money spent weekly on groceries is as follows:

S = {210, 23, 350, 112, 27, 175, 275, 50, 95, 450}

<em>n</em> = 10

Compute the sample mean and sample standard deviation:

\bar x =\frac{1}{n}\cdot\sum X=\frac{ 1767 }{ 10 }= 176.7

s= \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 188448.1 }{ 10 - 1} } \approx 144.702

It is assumed that the data come from a normal distribution.

Since the population standard deviation is not known, use a <em>t</em> confidence interval.

The critical value of <em>t</em> for 95% confidence level and degrees of freedom = n - 1 = 10 - 1 = 9 is:

t_{\alpha/2, (n-1)}=t_{0.05/2, (10-1)}=t_{0.025, 9}=2.262

*Use a <em>t</em>-table.

Compute the 95% confidence interval for the population mean amount spent on groceries by Connecticut families as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}

     =176.7\pm 2.262\cdot\ \frac{144.702}{\sqrt{10}}\\\\=176.7\pm 103.5064\\\\=(73.1936, 280.2064)\\\\\approx (73.20, 280.21)

Thus, the 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

7 0
3 years ago
Line l has a _____ slope.<br> negative<br> 0<br> positive<br> undefined
Natasha2012 [34]

Answer:

positive

Step-by-step explanation:

negative slopes go from right to left; this line goes from left to right

0; the line isn't completely horizontal

undefined; the line isn't completely vertical

8 0
3 years ago
Read 2 more answers
A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S)=0.29. They have also deter
GuDViN [60]

<u>Answer:</u>

The correct answer option is P (S∩LC) = 0.16.

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

It is known that the probability if someone is a smoker is P(S)=0.29 and the probability that someone has lung cancer, given that they are also smoker is P(LC|S)=0.552.

So using the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).

P (LC|S) = P (S∩LC) / P (S)

Substituting the given values to get:

0.552 = P(S∩LC) / 0.29

P (S∩LC) = 0.552 × 0.29 = 0.16

5 0
3 years ago
All of the following fractions are equal to
Studentka2010 [4]

Answer:

Except 4 out of 6

the answer is the third one

8 0
2 years ago
Read 2 more answers
Khan Acad
alexandr402 [8]

Answer:

7.222 (repeating)

Step-by-step explanation:

8 + 10 + 8 + 5 + 4 + 7 + 5 + 10 + 8 = 65

1      2    3    4    5    6    7    8     9

65 / 9 = 7.222 (repeating)

6 0
2 years ago
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