Answer:
its A
Step-by-step explanation:
The diameter of the circle is 17.49
Answer:
Option E) 2.68; The regression line under predicts the student's English test score.
Step-by-step explanation:
We are given the following information:
The IQ scores and English test scores of fifth grade students is given by the regression line
![y = -26.7 +0.9346s](https://tex.z-dn.net/?f=y%20%3D%20-26.7%20%2B0.9346s)
where y is the predicted English score and s is the IQ score.
Here English score is the predicted variable that is the dependent variable and the IQ score is the independent variable and plays the role of predictor.
An actual English test score for a student is 65.7 with an IQ of 96. We have to predict the English score with the help of regression equation.
Predicted or interpreted English score =
![y = -26.7 +0.9346(96)= 63.0216](https://tex.z-dn.net/?f=y%20%3D%20-26.7%20%2B0.9346%2896%29%3D%2063.0216)
Thus, predicted English score is 63.0216.
Observed value of English score at IQ 96 is 65.7
Residual = Observed value - Predicted value
= ![65.7 - 63.0216 = 2.6784 \approx 2.68](https://tex.z-dn.net/?f=65.7%20-%2063.0216%20%3D%202.6784%20%5Capprox%202.68)
Since the predicted value is less than the original or observed value we can say that the regression line under predict the English score.
Option E) 2.68; The regression line under predicts the student's English test score.
Answer:
P(47.85 < x) = 0.9987
Step-by-step explanation:
you must find the probability P(47.85 < x)
therefore, using the normal distribution:
finding z:
Z = (x-μ)/σ/() [1]
where:
x is the raw measurement
μ is the mean
σ is the standard deviation
n is the sample size
our information is:
μ = 46.2 hours, σ = 0.55 hours, n = 1, x = 47.85
so replacing:
![Z = \frac{(47.85-46.2)}{\frac{0.55}{\sqrt{1}}}\\\\Z = \frac{1.65}{0.55}\\\\Z = \frac{1.65}{0.55}\\\\Z = 3\\\\](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B%2847.85-46.2%29%7D%7B%5Cfrac%7B0.55%7D%7B%5Csqrt%7B1%7D%7D%7D%5C%5C%5C%5CZ%20%3D%20%5Cfrac%7B1.65%7D%7B0.55%7D%5C%5C%5C%5CZ%20%3D%20%5Cfrac%7B1.65%7D%7B0.55%7D%5C%5C%5C%5CZ%20%3D%203%5C%5C%5C%5C)
now you look at the normal distribution table and find Z score:
an this is 0.9987, you can check in the attached table.
so P(x<47.85) = 0.9987.or 99.87%
Answer:
Hexagon is made up of 6 equilateral triangles, side of each triangle is 40 cm. so area of hexagon is area of equilateral triangle with side a is (√3a^2)/4..so area is area of triangle *6
Step-by-step explanation:
A hexagon has 6 sides
240/6 = 40cm per side
A = s^2(N)/4tan(180/N)
A = 1600(6)/4tan(30) = 9600/2.3094 = 4160cm^2 to 3 significant figures
Please mark me brainliest :D