Answer:
$4.1
Step-by-step explanation:
To find the Unit Rate, you have to find how much it cost of 1 lb. So, you have to divide 16 and 3.99
16/3.99
= 4.01002506
≈ $4.1
Make into improper fraction
5 and 1/6=5+1/6=30/6+1/6=31/6
3 and 2/4=3+2/4=3+1/2=6/2+1/2=7/2
5 and 1/6 times 2 and 2/4=
31/6 times 7/2=
217/12=
216/12+1/12=
18+1/12=
18 and 1/12
Mean = 0.497 in, SD = 0.003 in
Required diameter ranges between 0.496 in and 0.504 in
Anything other diameter obtained is not acceptable.
That is;
P(x<0.496) and P(x>0.504) are not acceptable.
Now,
P(x<0.496) = P(Z< (0.496-0.497)/0.003)) = P(Z<-0.33)
From Z tables, P(Z<-0.33) = 0.3707
Similarly,
P(x>0.504) = P(Z> (0.504-0.497)/0.003)) = P(Z>2.33)
From Z tables, P(Z>2.33) = 1-0.9901 = 0.0099
Therefore, unacceptable proportion = P(x<0.496)+P(x>0.504) = 0.3707+0.0099 = 0.3806 or 38.06%
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope (m)</u>
In the given equation, 
is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of . Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (-6,-29) and solve for b
Simplify -6 and 2
Add 15 to both sides to isolate b
Therefore, the y-intercept is -14. Plug this back into :
I hope this helps!
Percent is pars out of 100
40%=40/100=4/10=0.4
'of' means multiply
0.4 times something=56
divide both sides by 0.4
something=140
th enumber is 140
