Step-by-step explanation:
Consider the provided information.
Part (A) We need to find the confidence coefficient.
The given value or percentage of probability is known as the confidence coefficient that the interval contains the parameter.
Hence, the confidence coefficient is 0.90
Part (B) Practical interpretation of both of the 99% confidence intervals.
It means that there is 99% confident that the mean of population HRV for officers diagnosed hypertension which lies between 6.9 and 122.9
There is 99% confident that the mean of population HRV for officers those are not hypertensive which lies between 144.2 and 184.9.
Part (C)
If you are saying 99% confident that means the 99% of the similarly generated confidence intervals will contain the true value of the population mean in repeated sampling.
Part (D)
If We want to reduce the width of each confidence interval, you need to use smaller confidence coefficient.
D(-1,-1), E(-8,-4), F(-8,-8)
5. m=3 because 6/2 is the slope. b= 1
6. m= -4 because -20/5 is the slope. b= 140
Answer:
Slope: 3 Y-intercept: 6
Step-by-step explanation:
You want to put this equation into y=mx+b form so it's easier to tell.
Add 3x on both sides.
y = 3x + 6
The slope is always the coefficient (number) in front of the x in the y = mx + b form. 6 is the y-intercept (reason: the y-intercept is when x=0, and when you substitute 0 for x in this, you get y=6).
Answer:
x = theta = 0°
Step-by-step explanation:
Given the trigonometry function
Tan²x/2-2 cos x = 1
Tan²x-4cosx = 2 ... 1
From trigonometry identity
Sec²x = tan²x+1
tan²x = sec²x-1 ... 2
Substituting 2 into 1, we have:
sec²x-1 -4cosx = 2
Note that secx = 1/cosx
1/cos²x - 1 - 4cosx = 2
Let cosx. = P
1/P² - 1 - 4P = 2
1-P²-4P³ = 2P²
4P³+2P²+P²-1 = 0
4P³+3P² = 1
P²(4P+3) = 1
P² = 1 and 4P+3 = 1
P = ±1 and P = -3/4
Since cosx = P
If P = 1
Cosx = 1
x = arccos1
x = 0°
If x = -1
cosx = -1
x = arccos(-1)
x = 180°
Since our angle must be between 0 and 1 therefore x = 0°
