Answer:
A normal model is a good fit for the sampling distribution.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
The information provided is:
<em>N</em> = 675
<em>X</em>₁ = bodies with low vitamin-D levels had weak bones
<em>n</em>₁ = 82
<em>p</em>₁ = 0.085
<em>X</em>₂ = bodies with regular vitamin-D levels had weak bones
<em>n</em>₂ = 593
<em>p</em>₂ = 0.01
Both the sample sizes are large enough, i.e. <em>n</em>₁ = 82 > 30 and <em>n</em>₂ = 593 > 30.
So, the central limit theorem can be applied to approximate the sampling distribution of sample proportions by the Normal distribution.
Thus, a normal model is a good fit for the sampling distribution.
Answer:
y = -1/2x-8
Step-by-step explanation:
If the lines are parallel, they have the same slope.
y = -1/2x +3 is in the form y=mx+b where m is the slope and b is the y intercept
-1/2 is the slope so the new line will have a slope of -1/2
(0,-8) is the y intercept since x=0
We can write the equation since we know the slope (-1/2) and the y intercept (-8)
y = -1/2x-8
<span>There are infinite numbers between 0.4 and 0.5. The reason is that there are infinite rational as well as irrational numbers between 0.4 and 0.5, therefore, we cannot exactly give all the numbers between 0.4 and 0.5.
</span>
These are <span>the numbers</span>
0.41,0.42,0.43.0.44,0.45,0.46,0.47,0.48,0.49
Answer:
Step-by-step explanation:
y = 2x - 3 --------------(i)
y = x² - 2x - 8 -----------(ii)
Substitute y = x² - 2x - 8 in equation (i)
x² - 2x - 8 = 2x - 3
x² - 2x - 8 - 2x + 3 = 0
x² - 2x -2x - 8 + 3 = 0
x² - 4x - 5 = 0
x² + 1x - 5x -5 = 0
x(x + 1) - 5(x + 1) = 0
(x + 1)(x - 5) = 0
x + 1 =0 ; x -5 = 0
x = -1 ; x = 5
When x = -1; y =2*(-1) - 3 = -2 -3 = -5
When x = 5; y = 2*5 - 3 = 10-3 = 7
Answer:
y = x +
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 10x - 20y = - 3 into this form
Subtract 10x from both sides
- 20y = - 10x - 3 ( divide all terms by - 20 )
y = x - , that is
y = x + ← in slope- intercept form