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Anna007 [38]
3 years ago
6

A boat traveled 189 miles downstream and back. The downstream trip took 7 hours. The trip back took 21 hours. Find the speed of

the boat in still water and the current.
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0
 7hrs/ =x
21hrs 189
1323=7x
7       7
189=x
the speed of the boat in still water is 189
i got the answer by setting a proportion.
hope it work
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Marcela is registering for her college classes, which cost $105 per unit. How many units can she take to have a maximum cost of
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Answer:

Marcela can take up to 13 units.  

Step-by-step explanation:

In order to find the number of units that Marcela can take for her college classes, we can set up an inequality and solve for the variable.  Since each unit costs $105, we can say that 105u ≤ 1365 where u = the number of units.  The number of units multiplied by the cost per unit, must be less than or equal to $1,365.  In order to solve for 'u', we can use inverse (opposite) operations and get rid of the coefficient by dividing both sides of the inequality by 105.  1365÷105 = 13.  So, the number of units that Marcela can take must be less than or equal to 13 units.  

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3 years ago
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Please Someone I need Help With 1-8
lina2011 [118]
5) k/35=3/7 : cross multiply
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     18t=24*3  :simplify
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7) 10/8.4 = 5/m  :cross multiply
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3 years ago
A tree grows in height by 21% per year. It is 2m tall after one year. After how many years will the tree be over 20m tall?
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7. License Plate Laws The Chapter Problem involved passenger cars in Connecticut and passenger cars in New York, but here we con
sergejj [24]

Yes it is true that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars because null hypothesis is rejected.

Given among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates.

let p_{1} be the probability that commercial cars have rear license plates and p_{2} be the probability that connected trucks have rear license plates.

                         Cars                     Trucks                         Total

Total                  2049                    334                             2383

x                          239                      45                                284

p                        0.1166                   0.1347                          0.1191

α=0.05

Hypothesis will be  :

H_{0}:p_{1} =p_{2}

H_{1} :p_{1} < p_{2}

It is a left tailed test at 0.05 significance.

Standard errors of p=\sqrt{p(1-p)/n}

=\sqrt{(0.1191*0.8809)/2383}

=\sqrt{0.1049/2383}        

=0.0066

Test statistic Z=p difference/standard error

=(0.1166-0.1347)/0.0066

=-0.0181/0.0061

=-2.967

p value=0.001505<5%

Since p is less than 5% we reject null hypothesis.

We cannot calculate standard deviation so  we cannot calculate confidence interval.

Hence there is statistical evidence at 5% significance level to support that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

Learn more about z test at brainly.com/question/14453510

#SPJ4

5 0
2 years ago
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