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Bogdan [553]
3 years ago
15

15% as mixed number in simplest form​

Mathematics
1 answer:
exis [7]3 years ago
3 0

Answer:

The simplified fraction form of 15% is 320

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Suppose that you wish to cross a river that is 3900 feet wide and flowing at a rate of 5 mph from north to south. Starting on th
vodka [1.7K]

Answer:

  a) 297°

  b) 4.52 minutes

Step-by-step explanation:

a) Consider the attached figure. The boat's actual path will be the sum of its heading vector BA and that of the current, vector AC. The angle of BA north of west has a sine equal to 5/11. That is, the heading direction measured clockwise from north is ...

  270° + arcsin(5/11) = 297°

__

b) The "speed made good" is the boat's speed multiplied by the cosine of the angle between the boat's heading and the boat's actual path. That same value can be computed as the remaining leg of the right triangle with hypotenuse 11 and leg 5.

  boat speed = √(11² -5²) = √96 ≈ 9.7980 . . . . miles per hour

Then the travel time will be ...

  time = distance/speed

  (3900 ft)×(1 mi)/(5280 ft)×(60 min)/(1 h)/(9.7980 mi/h) ≈ 4.523 min

7 0
3 years ago
Will give BRIANLY <br> Select the equivalent expression.
11Alexandr11 [23.1K]
The answer is C. It’s because you distribute the exponent on the outside by multiplying each exponent on the inside of the parenthesis.
6 0
3 years ago
Researchers gave 40 index cards to a waitress at an Italian restaurant in New Jersey. Before delivering the bill to each custome
rjkz [21]

The test statistic and p-value of the given data are 6.274 and 0.0001 respectively.

<h3>Test Statistic</h3>

The test statistic can be calculated using the formula below

t = \frac{x-\mu}{\sigma / \sqrt{n} }

Solving for the mean and standard deviation, we can substitute the values into the above equation which will be

t = \frac{x-\mu}{\sigma / \sqrt{n} } = 6.274

<h3>P-Value</h3>

Using the data from the test statistic, we can calculate the p-value of the data

p-value = p(z < 6.274)= 0.0001 = 0.00

From the calculation above, the test statistic and p-value of the given data are

  • 6.274
  • 0.0001

Learn more on test statistic and p-value here;

brainly.com/question/4621112

3 0
2 years ago
A game starts by flipping a coin. If you get heads, then you get to roll a die and, if you roll a 4, you win the jackpot. If you
Mariana [72]

\frac{5}{24}

Step-by-step explanation:

There are two ways to win a jackpot.

Let p_{1} be the probability for first method and p_{2} be the probability for second method.

Probability to get a head=p_{head}=\frac{1}{2}

Probability to get a 4 in the die=p_{4}=\frac{1}{6}

Probability to get a head and get a 4 in die=[p_{1}tex]p_{head}\times p_{4}[/tex]=\frac{1}{2}\times \frac{1}{6} =\frac{1}{12}

Probability to get a tail=p_{tail}=\frac{1}{2}

Probability to get a heart=p_{heart}=\frac{13}{52} =\frac{1}{4}

Probability to get a tail and get a heart in the deck=p_{tail} \times p_{heart}=\frac{1}{2}\times \frac{1}{4}=\frac{1}{8}

Total probability to win a jackpot=p_{1}+p_{2}=\frac{1}{12}+\frac{1}{8}=\frac{5}{24}

So,probability to win a jackpot is \frac{5}{24}

3 0
3 years ago
Can someone please give me the (Answers) to this? ... please ...<br><br> I need help….
Veronika [31]

Answer:

I just did for your previous posting.

3 0
2 years ago
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