At 95% confidence interval, true population mean is given by
x+/- 2sd
where x= sample mean and sd = sample standard deviation
True mean of population = 13.50 +/- 2*1.51 = 13.50+/-3.02
Interval: 13.50+3.02, 13.50-3.02 = 16.51, 10.48
Answer:
66.4°
Step-by-step explanation:
→ Find the side which is not given
Hypotenuse = 15 cm
Opposite = ?
Adjacent = 6 cm
→ Utilise the formula triangle with out opposite in it
Cos⁻¹ = Adjacent ÷ Hypotenuse
→ Substitute in the terms
Cos⁻¹ = 6 ÷ 15 ⇔ 66.4°
Answer:
- we can conclude that for every single unit of : x, y would be increased by 0.2871. and intersection of x and y will be through =1.5974
- it can be concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21
Step-by-step explanation:
WITH THE GIVEN DATA
A ) using regression to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age pf 21
to fit into a regression line we must have ∝ and β
where β =
= 0.2871
and ∝ = y - βx = - 1.5974
regression line = ∝ + β * x
insert values into regression line equation
regression line = -1.5974 + 0.2871 * x
we can conclude that for every single unit of : x, y would be increased by 0.2871. and intersection of x and y will be through =1.5974
B ) conclusion and recommendations can you derive from your analysis
it can be concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21
using the correlation coefficient ( r ) =
= 0.8394
Given:
Image of the ellipse
To find:
The equation of the image
Solution:
The given image is a ellipse.
Center of the ellipse = (0, 0)
x-axis points are (-3, 0) and (3, 0).
y-axis points are (2, 0) and (-2, 0).
Standard form of equation of ellipse:

where (h, k) is the center = (0,0)
a is the point on x-axis where y = 0. Hence a = 3.
b is the point on y-axis where x = 0. Hence b = 2.
Substitute this in the standard form of ellipse.


To make the denominator same multiply 1st term by
and 2nd term by
.



Multiply by 36 on both sides


The equation of the image is
.