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kolezko [41]
2 years ago
10

A ship leaves the Port of Miami and travels due east toward the Bahamas for 3 miles. The ship turns due south and travels for so

me distance. The captain then looks back and determines that the ship is directly 10 miles from the starting point at the Port of Miami. How many miles did the ship travel south before the captain checked the distance to the Port of Miami? Round your answer to the nearest tenth. the
Mathematics
1 answer:
Anettt [7]2 years ago
5 0
The answer is to the question is 20.1
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Determine the probability of having 2 girls and 3 boys in a 5-child family assuming boys and girls are equally likely.
Andrew [12]
The correct answer is 5/16.
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2 years ago
Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit
Phantasy [73]

Answer:

y=-2.95836 x +234.56159

Step-by-step explanation:

We assume that th data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 48, 22, 35, 43, 171, 13, 185, 25

a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =50+ 55+ 50+ 79+ 44+ 37+ 70+ 45+ 49=479

\sum_{i=1}^n y_i =152+ 48+ 22+ 35+ 43+ 171+ 13+ 185+ 25=694

\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897

\sum_{i=1}^n y^2_i =152^2 + 48^2 + 22^2 + 35^2 + 43^2 + 171^2 + 13^2 + 185^2 + 25^2=93226

\sum_{i=1}^n x_i y_i =50*152+ 55*48+ 50*22+ 79*35+ 44*43+ 37*171+ 70*13+ 45*185+ 49*25=32784

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.556

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=32784-\frac{479*694}{9}=-4152.22

And the slope would be:

m=-\frac{-4152.222}{1403.556}=-2.95836

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.222

\bar y= \frac{\sum y_i}{n}=\frac{694}{9}=77.111

And we can find the intercept using this:

b=\bar y -m \bar x=77.1111111-(-2.95836*53.22222222)=234.56159

So the line would be given by:

y=-2.95836 x +234.56159

7 0
2 years ago
The graphs of f(x) and g(x) are shown below:
Alekssandra [29.7K]

Your Answer: G(x) = (x − 5)²

I just finished my semester exam, and this was one of the questions. I guessed on this question because I had no clue of what the answer was, and lucky me, I got the question right :D

Hope this helps y'all with your test :)

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2 years ago
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Ally sliced 32 kg of watermelon for a party. She divided the watermelon slices equally between 8 large bowls.
igor_vitrenko [27]

Answer:

4000g

Step-by-step explanation:

32kg=32000g

32000/8 bowls=

4000g

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The amount of time Ricardo spends brushing his teeth follows a Normal Distribution with unknown mean and standard deviation. Ric
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THE ANSWER IS 42 I THINK THAT HE DONE IT 42 TIMES AND THAT IS SO GOOD HE HAD 42 MIN ON THE CLOCK HE DONE PRETTY GOOD YOU ARE AT LEAST TO DO IT 3 TIMES A DAY MORNING ,AFTERNOON AND THE EVENING THAT IS PRETTY DANG GOOD
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