Answer:
Step-by-step explanation:
To find the answer we have to first group the like terms:
therefore
so
X = 3
2(4x - 3) - 8 = 4 + 2x
1. Distribute
8x - 6 - 8 = 4 + 2x
2. Collect like terms
8x - 14 = 4 + 2x
3. Collect like terms again (add 14 and subtract 2x)
6x = 18
4. Divide by 6
x = 3
Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
Step-by-step explanation:
Years since tree was planted (x) - - - - height (y)
2 - - - - 17
3 - - - - 25
5 - - - 42
6 - - - - 47
7 - - - 54
9 - - - 69
Using a regression calculator :
The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08
With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.
X is the independent variable which is used in calculating the value of y.
Predicted height when years since tree was planted(x) = 100
ŷ = 7.36X + 3.08
ŷ = 7.36(100) + 3.08
y = 736 + 3.08
y = 739.08
Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.
Answer:
8
Step-by-step explanation:
Sum the parts of the ratio 4 + 2 = 6 parts
Divide 24 by 6 to find the value of one part of the ratio
24 ÷ 6 = 4 ← value of 1 part, thus
number of boys = 4 × 4 = 16
number of girls = 2 × 4 = 8
Hence there are 8 more boys than girls
