Answer:
Correct statement: (a) and (b).
Step-by-step explanation:
R-squared is a statistical quantity that measures, just how near the values are to the fitted regression line. It is also known as the coefficient of determination.
The coefficient of determination is the squared value of the correlation coefficient.
That is,

The correlation coefficient between two variables is the measure of the strength and direction of the relationship between two variables.
Its values ranges from -1.00 to +1.00.
Although <em>r</em> can be negative but R² is always positive, since square of a negative number is also positive.
So the correct statements are:
a. cannot be negative
b. is the square root of the coefficient of correlation
The function is given by
y=45,200 + 1,900x
and is of the form y = mx+b , where m is the rate of change and b is the fixed value ( or we can say initial value)
Now when we compare we get m = 1,900 for our problem .
So the population increases every year by 1,900.
The answer is: "11 %" .
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There is 11% of fruit in the cake.
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Explanation:
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275g is what percent of 2.5 kg?
First, convert "275 g" into "kg".
Note the exact conversion: 1000 g = 1 kg .
So 275 g = (275/1000) kg = 0.275 kg .
0.275 kg = (n/100) * 2.5 kg ;
→ (n/100) * 2.5 = 0.275 ;
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Divide each side by "(2.5)"
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→ (n/100) = (0.275) / (2.5) ;
→ (n/100) = 0.11 ;
Multiply each side by "100" ;
n = 11 .
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The answer is: 11 % .
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Answer:
The probability that the pirate misses the captain's ship but the captain hits = 0.514
Step-by-step explanation:
Let A be the event that the captain hits the pirate ship
The probability of the captain hitting the pirate ship, P(A) = 3/5
Let B be the event that the pirate hits the captain's ship
The probability of the pirate hitting the captain's ship P(B) = 1/7
The probability of the pirate missing the captain's ship, P'(B) = 1 - P(B)
P'(B) = 1 - 1/7 = 6/7
The probability that the pirate misses the captain's ship but the captain hits = P(A) * P(B) = 3/5 * 6/7
= 0.514
The probability that a child with a speaking part is chosen randomly would be 2:5.