Answer: The answer is 
Step-by-step explanation: Given that the penguin nursery is open two times in a day, where the number of hours open at the noon and afternoon are respectively given by
Therefore, the total number of hours 't' penguin nursery open every day is given by
Thus, the answer is
Answer: C
First you have to get rid of the 8 because it is a constant. -4-8=-12. Then, you multiply out the denominator to isolate the variable. This means -12*3=-36
T probability of rolling doubles after 45 tosses is 0.156
<h3>How to determine the regression equation?</h3>
To do this, we enter the data values in a graphing calculator.
From graphing calculator, we have the following summary:
- Sum of X = 550
- Sum of Y = 87
- Mean X = 55
- Mean Y = 8.7
- Sum of squares (SSX) = 8250
- Sum of products (SP) = 1375
The regression equation is
y = bx + a
Where
b = SP/SSX = 1375/8250 = 0.16667
a = MY - bMX = 8.7 - (0.17*55) = -0.46667
So, we have:
y = 0.16667x - 0.46667
Approximate
y = 0.167x - 0.467
When the number of tosses is 45, we have:
y = 0.167 * 45 - 0.467
Evaluate
y = 7.048
Approximate
y = 7
45 tosses gives 7 doubles.
So, the probability is:
P = 7/45
Evaluate
P = 0.156
Hence, the probability of rolling doubles after 45 tosses is 0.156
Read more about regression equation at:
brainly.com/question/14184702
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Its a rectangle cut the corners
