Answer:
2.28 %
Step-by-step explanation:
It is stated that battery life distribution is normal. First we need to find out where 65 hour battery life in this distribution falls by finding its z-score. We can use the following formula
z(x)=
where
- X the point we are looking to find its z-score, which is 65
- M is the mean of the sample, which is 75
- s is the standard deviation of the sample, which is 5
Replacing these numbers in the formula, z-score of the 65 hour battery life :
z(x)=
=-2
All the batteries fail within the first 65 months if their z-score is smaller than -2. Or we can state this also as: P(z≤-2) which is 0.0228
Thus 2.28 % of the batteries will fail within the first 65 months of use.
Answer: 4/9
Step-by-step explanation:
The probability that annie picks a duck Pt= the probability of picking a duck without accounting for the added one (Po)+ probability of picking the added bird and it's a duck(Pi)
Pt = Po+Pi
Since the total number of birds in the right pond is 10 after the addition of one by john
Po= 4/10
Pi= the of john adding a duck × the probability of annie picking the added bird
Pi= 4/9 × 1/10
Pi = 4/90
Pt= 4/10 + 4/90
Pt = (36+4)/90
Pt=40/90
Pt= 4/9
(This implies that the probability of picking a duck remain the same even after the addition of one bird from the left ponds because they both have equal proportions of duck and geese i.e the initial number of duck and geese in both right and left ponds are 4 and 5 respectively)
Thanks.
Answer:
Using SAS they are congruent.
Step-by-step explanation:
E is the point where the diagonals AC and BD meet.
Side: AB = CD
Angle: ∠ABE = ∠EDC
Side: BE = DE
Hence by SAS theorem the two triangles are congruent.
When her lung had been reduced below $5000 she could pay the rest and must know how many payments were left because there's a grand total of 10 payments. So let's, uh let's plot these out. Um, so I'm gonna plot a line of why equals 5000 and I'm gonna plant a line, someone have a Y equals 5000. And then there's a formula for that was found in the text to find the amount left over as our times one minus one plus I to the negative in minus X. However, I will tell us how much is left to be paid. So what I'm gonna put into my why equals as I'm gonna put 24 65 82 times one minus 1.0 for to the negative 10 minus sex all over 0.4 Okay, so let's go put that in into our computations. Just clearing my wine menus. 5000 and I'm going to have our values. 24 65.82 times one minus 1.0 for to the negative parentheses. 10 minus acts and divided by zero You hear before. And so that happens at 7.816 payments. So somewhere after her seventh payment on before her eighth payment eso when she goes under, that will be for her eighth payment. Um, so eighth payment puts her under 5000 on, then. Now the eight payments air done. That means, uh that she will have to payments left over. And I think that's what the question was asking. So there were two payments left.
Answer:
Oh! We should start with finding the lngths of the "curvy sides". As you can see there are 2 semi circles which we can combine to make one circle with a diameter of 7. The formula for the circumference of the circle is 2πr which is also equal to the diameter x π. SO the circumeference is 7π which is this case equals 22 since they are telling us to use π as 22/7. I'm not sure about the rest but I hope this helped a little!!
Step-by-step explanation:
