So hmm check the picture below
using the 30-60-90 rule, we get that much.. .bear in mind, an equilateral triangle has all equal sides, and therefore, all equal angles, so each angle is 60°, run a median through it from the center, and you split it in half
Answer:
A. R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.
Step-by-step explanation:
John is predicting test scores of students on the basis of their home work averages and he get the following regression equation
y=0.2 x +82.
Here, dependent variable y is the test scores and independent variable x is home averages because test scores are predicted on the basis of home work averages.
The coefficient of determination R² indicates the explained variability of dependent variable due to its linear relationship with independent variable.
We are given that correlation coefficient r= 0.82.
coefficient of determination R²=0.82²=0.6724 or 67.24%.
Thus, we can say that 67.24% of total variability in test scores is explained by its linear relationship with homework averages.
Also, we can say that, R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.
Answer:
B. The amount of water originally in Wilson's can was 2.5 gallons.
Answer: 0.0052
Step-by-step explanation:
Total number of times experiment was performed (n)= 12
Probability of the event (that one key out of a total of 12 opens the door) = 1/12 = 0.083
Hence, p = 0.83
q = 1 - p = 11/12 = 0.917
x = 3
Since the experiment was performed n number of times, a binomial probability distribution can defined the experiment.
P(x=r) = nCr ×p^r × q^n-r
P(x=3) = 12C3 × (0.083)⁴ × (0.917)^8
P(x=3) = 220 × (0.083)⁴ × (0.917)^8
P(x=3) = 0.0052