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Korolek [52]
1 year ago
7

A conductor is mapping a trip and records the distance the train travels over certain time intervals.

Mathematics
1 answer:
leonid [27]1 year ago
6 0
In half an hour the trains travels 22.5 miles
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Marvin has a coupon the discount is the rental of a full-size car by $25 they decide to buy insurance for each day if the cost i
ipn [44]

Answer: Marvin needs approximately 19 days to rent the car.

Step-by-step explanation:

Since we have given that

Amount Marvin get on a discount coupon = $25

She decided to buy insurance for each day.

Let the number of days be x

cost of insurance = $465

According to question, it becomes,

25x=465\\\\x=\frac{465}{25}\\\\x=18.6\\\\x=19\ days

Hence, Marvin needs approximately 19 days to rent the car.

7 0
1 year ago
Read 2 more answers
A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are
kondor19780726 [428]

Answer: The number of different combinations of 2 vegetables are possible = 15 .

Step-by-step explanation:

In Mathematics , the number of combinations of selecting r values out of n values = ^nC_r=\dfrac{n!}{r!(n-r)!}

Given : Number of available vegetables = 6

Then, the number of different combinations of 2 vegetables are possible will be :

^6C_2=\dfrac{6!}{2!(6-2)!}=\dfrac{6\times5\times4!}{2\times4!}=15

Hence , the number of different combinations of 2 vegetables are possible = 15 .

5 0
2 years ago
mrs bean bought a business at the start of 2006 the business was then valued £30000 Since Mrs Beans takeover, the business gas c
Anna [14]

Answer:

38000(Rounded to nearest 100)

Step-by-step explanation:

2018-2006=12 30000X1.02^12 =38047.2538

4 0
2 years ago
Lori bought a shirt and a hat at a half off sale. If she spent a total of $21 on the two items, what was the original price of t
Bad White [126]
Do 21 divided by 2 and you’ll get 10.5 so the original price was $10 and 50 cents
6 0
1 year ago
Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts made during the week. A sample of
Thepotemich [5.8K]
<h2><u>Answer with explanation</u>:</h2>

As per given , we have

sample size : n= 65

degree of freedom : df=n-1=64

sample mean : \overline{x}=19.5

sample standard deviation : s= 5.2

Since , the population standard deviation is not given  , so we apply t-test.

Significance level  for 90% confidence : \alpha=1-0.90=0.10

t-critical value for significance level 0.10 and df = 64 would be :

t_c=t_{\alpha/2, df}=t_{0.05,\ 64}=1.6690

Formula for Confidence interval :

\overline{x}\pm t_c\dfrac{s}{\sqrt{n}}

Then , 90%  confidence intervals for the population mean number of weekly customer contacts for the sales personnel would be :

19.5\pm(1.669)\dfrac{5.2}{\sqrt{65}}

=19.5\pm1.076

(19.5-1.076,\ 19.5+1.076)=(18.424,\ 20.576)

∴ 90% confidence intervals for the population mean number of weekly customer contacts for the sales personnel : (18.424, 20.576)

Significance level  for 95% confidence : \alpha=1-0.95=0.05

t-critical value for significance level 0.05 and df = 64 would be :

t_c=t_{\alpha/2, df}=t_{0.05,\ 64}=1.9977

Then , 95%  confidence intervals for the population mean number of weekly customer contacts for the sales personnel would be :

19.5\pm(1.9977)\dfrac{5.2}{\sqrt{65}}

=19.5\pm1.288

(19.5-1.288,\ 19.5+1.288)=(18.212,\ 20.788)

∴ 95% confidence intervals for the population mean number of weekly customer contacts for the sales personnel : (18.212, 20.788)

4 0
2 years ago
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