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Alenkinab [10]
2 years ago
15

A ferry traveled \dfrac16 6 1 ​ start fraction, 1, divided by, 6, end fraction of the distance between two ports in \dfrac37 7 3

​ start fraction, 3, divided by, 7, end fraction hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour?
Mathematics
2 answers:
Ugo [173]2 years ago
5 0

Answer:

<em>The ferry can travel \frac{7}{18} of the distance between the two ports in one hour.</em>

Step-by-step explanation:

A ferry traveled \frac{1}{6} of the distance between two ports in \frac{3}{7} hour.

Suppose, the ferry traveled x of the distance between the two ports in one hour.

So, the <u>equation according to the ratio of "distance" to "time"</u> will be.......

\frac{\frac{1}{6}}{\frac{3}{7}} =\frac{x}{1} \\ \\ x=\frac{1}{6}\times \frac{7}{3}= \frac{7}{18}

Thus, the ferry can travel \frac{7}{18} of the distance between the two ports in one hour.

3241004551 [841]2 years ago
5 0

Answer:

7/18

Step-by-step explanation:

if it is in khanacademy it's 7/18

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Two unique letters are chosen at random from the alphabet. What is the approximate probability that the first letter chosen is A
guapka [62]

Answer:

The approximate probability that the first letter chosen is A = 0.0385....

Step-by-step explanation:

The given statement is two unique letters are chosen at random from the alphabet.

The total number of ways that the two letters would be chosen from alphabets = 650

26*25 = 650

For the first draw there are 26 letters but for the second draw there are only 25 letters left thats why we have multiplied 26 by 25.

The number of ways letters are chosen such that the first one is A, is

1*25 = 25

Thus the probability that the first letter chosen is A:

P(A)25/650 =  0.03846

By rounding off it becomes 0.0385.

Thus the approximate probability that the first letter chosen is A = 0.0385....

8 0
2 years ago
George put some cards into a basket. Then he drew 3 cards out of the basket. Is this a random sample of cards in the basket? Why
alexgriva [62]

Answer:

It is because he doesn’t know exactly which cards are in the basket and he doesn’t know the exact three he is going to pick out

Step-by-step explanation:

7 0
2 years ago
) What is the difference between a sequence and a series? A sequence is an ordered list of numbers whereas a series is an unorde
vivado [14]

Answer:

a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers; b) A series is divergent if it is not convergent. A convergent series is a series for which lim n → ∞ an exists.

Step-by-step explanation:

A sequence is a pattern; it is an ordered list of numbers.  A series, however, is the sum of a sequence.

A convergent series is a series for which the sequence of its partial sums tends to a limit; this means the limit exists.  A divergent series is a series that is not convergent.

7 0
2 years ago
Solve the triangle. A = 19°, C = 102°, c = 6
GrogVix [38]
We know that

Law of sines established
a/sin A=b/sin B=c/sin C

then
a/sin A=c/sin C------------> a=c*sin A/sin C---------> a=6*sin 19/sin 102
a=1.91 units <span>≈2 units

A+B+C=180</span>°----------> B=180-(A+C)-----> B=1180-(19+102)
B=59°
a/sin A=b/sin B-----------> b=a*sin B/sin A----->2*sin 59/sin 19
b=5.27 units <span>≈5.3 units</span>

the answer is the option 
B = 59°, a ≈ 2, b ≈ 5.3 

7 0
2 years ago
According to government​ data, the probability that an adult was never in a museum is 10​%. In a random survey of 60 ​adults, wh
lutik1710 [3]

Answer:

\text{Mean}=)=6\\\\\text{Standard deviation}=2.324

Step-by-step explanation:

Given : The probability that an adult was never in a museum is : p=0.10

The number of adults randomly surveyed: n = 60

In Binomial distribution , the formula to find the mean and the standard deviation is given by :-

\text{Mean}=np\\\\\text{Standard deviation}=\sqrt{np(1-p)}

Then , the mean and standard deviation of the number that were never in a​ museum will be :-

\text{Mean}=60(0.10)=6\\\\\text{Standard deviation}=\sqrt{60(0.10)(1-0.1)}=2.3237900077\approx2.324

5 0
2 years ago
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