Let's solve your equation step-by-step.
−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)
<em>Step 1: Simplify both sides of the equation.
</em>
−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)
−66.17738=(6.618)(4.3x)+(6.618)(1.1)+(−7.1)(x)+(−7.1)(−6.8)(Distribute)
−66.17738=28.4574x+7.2798+−7.1x+48.28
−66.17738=(28.4574x+−7.1x)+(7.2798+48.28)(Combine Like Terms)
−66.17738=21.3574x+55.5598
−66.17738=21.3574x+55.5598
<em>Step 2: Flip the equation.
</em>
21.3574x+55.5598=−66.17738
<em>Step 3: Subtract 55.5598 from both sides</em>.
21.3574x+55.5598−55.5598=−66.17738−55.5598
21.3574x=−121.73718
<em>Step 4: Divide both sides by 21.3574.
</em>
21.3574x
21.3574
=
−121.73718
21.3574
<u>x=−5.7</u>
Answer:
Yes, the mean age of onset of anorexia nervosa in women has decreased.
Step-by-step explanation:
When constructing confidence intervals, remember the acronym PANIC.
P (p definitions)
let p = the newly recorded mean age of the onset of anorexia nervosa in women
A (assumptions)
There is no evidence in the problem that the women were randomly or independently selected, but we will proceed as if they were. It is reasonable to assume that there are over 200 women in the world, so this sample is less than 10% of the total population. We will assume that the onset of anorexia nervosa has a fairly normal distribution, so the smaller sample size will suffice.
N (name the test)
Because the required conditions are met, we can construct a 95% confidence interval.
I (interval)
Interval = 
Interval = 
Interval = 
Interval = (13.5874, 14.9126)
C (conclusion)
Based on this interval, I am 95% confident that the true mean age of the onset of anorexia nervosa in women is between 13.58 and 14.91 years. Since 15 is not included in this interval, I believe that the mean age of the onset of anorexia nervosa in women has decreased.
(2, 4) is the correct answer
Answer:
Step-by-step explanation:

Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line p is
y = x - 1
Comparing with the slope intercept form, slope = 1
If two lines are parallel, it means that they have the same slope. Therefore, the slope of line q passing through (- 2, 8) is 1
To determine the y intercept, we would substitute m = 1, x = - 2 and
y = 8 into y = mx + c. It becomes
8 = 1 × - 2 + c
8 = - 2 + c
c = 8 + 2 = 10
The equation becomes
y = x + 10