Answer:
When a negative base is raised to the power of an even number, the answer is always positive.
Step-by-step explanation:
Step-by-step explanation:
Confidence interval = 90% = 0.90.
1 - 0.90 = 0.10
Mean of 15 batch:
724+718+776+760+745+759+795+756+742+740+761+749+739+747+742 = 11253/15
= 750.2
Mean of second batch:
735+775+729+755+783+760+738+780
= 6055/8
= 756.875
Sd = 20
Z-alpha/2 = 1.64
= (750.2-756.875)-1.64*√20²/15 + 20²/8
= -21.0348
(750.2-756.875)+1.64*√20²/15 + 20²/8
= 7.68
2. The upper limit of the interval is less than 10 so in conclusion the difference in mean batch viscosity is about 10 or less than 10
<span>Hollis travels 0.05 miles per minute faster than Charmaine.
First, convert to the same units for both Hollis and Charmaine. So Hollis takes 18.5 minutes and Charmaine takes 0.5*60 = 30 minutes. Both girls travel 2.4 miles, so calculate how many miles per minute each takes
Hollis = 2.4 / 18.5 = 0.13 miles per minute.
Charmaine = 2.4 / 30 = 0.08 miles per minute.
Finally determine the difference in speed between the two girls.
0.13 - 0.08 = 0.05 miles per minute.</span>
Answer:
y = - 6x + 5
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 )
y = x + 3 ← is in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = - 6, hence
y = - 6x + c ← is the partial equation of the perpendicular line.
To find c substitute (- 3, 23) into the partial equation
23 = 18 + c ⇒ c = 23 - 18 = 5
y = - 6x + 5 ← equation of perpendicular line