Domain: {(-3)}
Range: {(9,8,7,6)}
This is not A function because the input, x, or -3, has multiple outputs, or y.
The formula is correct but I do not see any of the other statements. so yes the formula is true.
Daniel is rollerblading at 15 miles per hour
Daniel can go 3 miles in 12 minutes so we do 12÷3 to find out how many minutes it takes to go 1 mile which is 4 now we do 60÷4 to get 15
Alternatively we could do 60÷12 to get 5 then do 3×5 to get 15
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:
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Given: w²+9=6w [0, 3, 6, 9]
We need to substitute each number for w and find which works
Sub Zero: 0²+9=6×0
Simplify: 9=0. 9 does not equal 0, so it is not 0
Sub Three: 3²+9=6×3
Simplify: 9+9=18
Addition: 18=18
The statement 18=18 is true, therefore we have our answer.
Answer: The second option is correct. 3 would be the correct number to substitute to make the equation correct.
