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Serga [27]
3 years ago
10

sam lives in Massachusetts and wants to buy a television that costs $2000. the sales tax in Maine is only 5% which is less than

the 6.25% in Massachusetts. dave tells sam to just buy the television in Massachusetts. if gas costs $30 to get to maine who is correct. explain?
Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0
2000(1.0625)dave vs sam 2000(1.05)+30
2125 dave vs. sam 2,100+30
2125 dave vs. sam 2130
dave is correct, because it costs five dollars less in massachusetts than in Maine
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If three men working at the same hourly rate are paid a total of $52.08 for a day's work, how much should be paid to five men at
gladu [14]
The five men would be paid $10.41 each at the same hourly rate
4 0
3 years ago
Read 2 more answers
A simple random sample of 50 items from a population with 7 resulted in a sample mean of 35.
Vilka [71]

The 90% , 99% confidence interval for the population mean is 32.145 < \rm \mu < 35.855 and 31.093 <  \rm \mu < 36.907

<h3>What is Probability ?</h3>

Probability is the study of likeliness of an event to happen.

It is given that

Total Population = 50

Mean = 35

The confidence interval is given by

\rm CI = \mu + z \dfrac{s}{\sqrt n}

\rm \mu is the mean

z is the confidence level value

s is the standard deviation

n is the population width

(a) The 90% confidence interval for the population mean

90% \rm \alpha / 2  = 0.05

Z = 1.64

34 \rm \pm 1.64 * 8 / √50

34 \rm \pm  1.855

32.145 < \rm \mu < 35.855

(b)  The 99% confidence interval for the population mean

99% \rm \alpha / 2  = 0.005

Z=2.57

34  \rm \pm 2.57 * 8 / √50

34 \rm \pm  2.907

31.093 <  \rm \mu < 36.907

Therefore the confidence interval for population mean has been determined.

The complete question is

A simple random sample of 50 items from a population width =7  resulted in a sample mean of 35. If required, round your answers to two decimal places.

a. Provide a 90% confidence interval for the population mean

b. Provide a 99% confidence interval for the population mean

To know more about Probability

brainly.com/question/11234923

#SPJ1

8 0
2 years ago
Rounded to the nearest dime ,what is the greatest amount of money that rounds to $105.40?What is the least amount of money that
victus00 [196]
<span>$100.00 rounded  value
$105.00 rounded value
$110.00 rounded value

For example,
14,494 </span>
<span>To round off the height value to the nearest thousand we can use the expanded from to clarity the position of numbers which is: </span>
<span>10, 000 = ten thousand </span>
<span>4, 000 = thousands </span>
<span>400 = hundreds </span>
<span>90 = tens </span>
<span>4 = ones </span>
<span>Here we can notice than four thousand is the value where the nearest thousands is placed. Hence we can round off the number of 14, 494 into 14, 000. Notice 0-4 rounding off rules.<span>
</span></span>
3 0
3 years ago
According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction.
klemol [59]

Answer:

a) the expected number of tweets with no reaction is 71 tweets

b) the variance is 20.59 tweets² ( ≈ 21 tweets )and the standard deviation is

4.537 tweets (≈ 5 tweets)

Step-by-step explanation:

we can use the binomial probability distribution

P(x, N, p ) = N!/[(N-x)!x!] * p^x * (1-p)^(N-x)

where

x = number of successful events

N = population total

p = probability for success for every individual and independent event

P = probability for x successful events

in our case p = 71% = 71/100 (probability of a tweet without reaction) , N = 100 tweets

a) the expected number of tweets

E(x) = N* p = 100 tweets * 71/100 = 71 tweets

b) the variance is

V(x) = N * p * (1-p)

V = 100 * 71/100 * (1-71/100) = 71* 29/100 = 20.59 tweets² ( units of variance are [N²] )

the standard deviation is

s = √V = √20.59 tweets² = 4.537 tweets

6 0
3 years ago
One plus the product of a number y and three
slamgirl [31]
(yX3)+1 because product means multipy
8 0
3 years ago
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