Answer is in the file below
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Answer:
The baker ended up with 22 extra donuts.
Step-by-step explanation:
Since the baker had 24 boxes and made 526 donuts, to split them evenly between the total number of boxes means that we need to divide the number of total donuts by the number of boxes:
526 ÷ 24 = 21 remainder of 22
Since 24 x 21 = 504 and 24 x 22 = 528 and the baker only made 526 donuts, then the most amount of donuts he can use to split them evenly with the total amount of 526 is 504. 526 - 504 = 22, so he has an extra 22 donuts that will not be in boxes.
89 tens because 8 x10 is 80 add the 9
89
Given that mean=3750 hours and standard deviation is 300:
Then:
<span>a. The probability that a lamp will last for more than 4,000 hours?
P(x>4000)=1-P(x<4000)
but
P(x<4000)=P(z<Z)
where:
z=(x-</span>μ)/σ
z=(4000-3750)/300
z=0.833333
thus
P(x<4000)=P(z<0.8333)=0.7967
thus
P(x>4000)=1-0.7967=0.2033
<span>b.What is the probability that a lamp will last less than 3,000 hours?
P(x<3000)=P(z<Z)
Z=(3000-3750)/300
z=-2.5
thus
P(x<3000)=P(z<-2.5)=0.0062
c. </span><span>.What lifetime should the manufacturer advertise for these lamps in order that only 4% of the lamps will burn out before the advertised lifetime?
the life time will be found as follows:
let the value be x
the value of z corresponding to 0.04 is z=-2.65
thus
using the formula for z-score:
-2.65=(x-3750)/300
solving for x we get:
-750=x-3750
x=-750+3750
x=3000</span>
Answer:
Please Find the answer below
Step-by-step explanation:
Domain : It these to values of x , for which we have some value of y on the graph. Hence in order to determine the Domain from the graph, we have to determine , if there is any value / values for which we do not have any y coordinate. If there are some, then we delete them from the set of Real numbers and that would be our Domain.
Range : It these to values of y , which are as mapped to some value of x in the graph. Hence in order to determine the Range from the graph, we have to determine , if there is any value / values on y axis for which we do not have any x coordinate mapped to it. If there are some, then we delete them from the set of Real numbers and that would be our Range .
