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SpyIntel [72]
2 years ago
7

A boat is traveling east across a river that is 112 meters wide at 8 meters per second. If the river has a northward current of

5 meters per second, what is the resultant speed of the motorboat rounded to the nearest tenth? A.3.0 m/s B.9.4 m/s C. 13.0 m/s D. 8.6 m/s
Mathematics
2 answers:
andreyandreev [35.5K]2 years ago
6 0
This is the concept of application of the Pythagorean theorem. The resultant speed of the motorboat which is crossing the river that has a northward current of 5 m/s at a speed of 8 m/s will be given by:
c^2=a^2+b^2
c^2=8^2+5^2
c^2=64+25
c^2=89
c=sqrt89
c=9.4 m/s
Mrac [35]2 years ago
5 0

Answer:

The answer would be 9.4m/s I can't provide the explanation sorry.

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Serena is single. She purchased her principal residence three years ago. She lived in the home until she sold it at a $300,000 g
Lesechka [4]

Answer: Long -term capital gain

Step-by-step explanation:

Serena is single, so based on the Taxpayer Relief Act of 1997, she would pay no capital gains tax on the first $250,000 gain.

Therefore, $300,000 - $250,000 =  $50,000

<em>The remaining $50,000 gain is taxable because of her being single and it has been her principal residence for three years.</em>

7 0
1 year ago
We are told that the two players, taken together, scored a total of 49 points. What is the probability that player A scored firs
mario62 [17]

Answer:

1/2 or 50% probability

Step-by-step explanation:

There are just two players, player A and player B. Since it is between this two players, for player A to score first we would have:

AB where player A is the first player to score, we wouldn't have BA since player would not be the first here

Probability = number of favorable outcomes/total number of outcomes

Therefore probability of A being the first player = number of A/total number of players

=1/2 = 0.50

There is therefore a 50% chance of A being the first player

7 0
1 year ago
A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so
otez555 [7]

Answer: (0.132132, 0.274368)

Step-by-step explanation:

Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.

i.e. n= 123

\hat{p}=\dfrac{25}{123}\approx0.203252

Critical value for 95% confidence interval : z_{\alpha/2}=1.96

Confidence interval for population :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

i.e. 0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}

0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)

Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)

5 0
2 years ago
At a local pizza parlor , game tickets can be traded for small toys . The rate is 10 tickets for 4 small toys . If meg won 55 ti
tangare [24]

Meg can trade her tickets in for 20 small toys.

6 0
2 years ago
Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.
miv72 [106K]
F(1)=4(1+1+7)-2(1)+8-4
f(1)=36+2
f(1)=38

f(2)=4(2+2+7)-2(2)+8-4
f(2)=44

4 0
2 years ago
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