Answer:
Step-by-step explanation:
Hello!
X: Cholesterol level of a woman aged 30-39. (mg/dl)
This variable has an approximately normal distribution with mean μ= 190.14 mg/dl
1. You need to find the corresponding Z-value that corresponds to the top 9.3% of the distribution, i.e. is the value of the standard normal distribution that has above it 0.093 of the distribution and below it is 0.907, symbolically:
P(Z≥z₀)= 0.093
-*or*-
P(Z≤z₀)= 0.907
Since the Z-table shows accumulative probabilities P(Z<Z₁₋α) I'll work with the second expression:
P(Z≤z₀)= 0.907
Now all you have to do is look for the given probability in the body of the table and reach the margins to obtain the corresponding Z value. The first column gives you the integer and first decimal value and the first row gives you the second decimal value:
z₀= 1.323
2.
Using the Z value from 1., the mean Cholesterol level (μ= 190.14 mg/dl) and the Medical guideline that indicates that 9.3% of the women have levels above 240 mg/dl you can clear the standard deviation of the distribution from the Z-formula:
Z= (X- μ)/δ ~N(0;1)
Z= (X- μ)/δ
Z*δ= X- μ
δ=(X- μ)/Z
δ=(240-190.14)/1.323
δ= 37.687 ≅ 37.7 mg/dl
I hope it helps!
Answer:
the slope of the line is 2
Step-by-step explanation:
3-1
1-0
=
2
1
=
2
Answer:
perimeter = 43.98cm
area = 76.96cm^2
Step-by-step explanation:
You take into account that the shaded regions are perfect circles, then, the total perimeter of the shaded regions are given by the circumference of both circles.
You calculate the circumferences, by using the following formula:
(1)
r: radio of the circles = (7/2)cm = 3.5cm
The total perimeter is twice the value of C in the expression (1). You replace r in (1), and calculate the total perimeter:
The perimeter of the shaded region is 43.98cm.
The area of the shaded region is twice the area of one of the circle, which is given by:
The total area of the shaded region is 76.96cm^2
Answer:
Therefore 9th term of the geometric sequence is 
Step-by-step explanation:
Given first term(a) = 6
and common ratio = 
Therefore 9th term of the geometric sequence is
Answer:
- 8x - 6
Step-by-step explanation:
2(- 4x - 3)
- 8x - 2 × - 3
- 8x - 6
