Answer:
3.14
Step-by-step explanation:
Given that:
Mean weight (m) = 79 ounces
Population standard deviation (s) = 13.1
Sample size = 47
Maximal margin of error associated with 90% confidence interval.
The margin of error is given by:
Zcritical * (standard deviation / sqrt(sample size)
Z critical at 90% confidence interval = 1.645
Hence,
Zcritical * (standard deviation / sqrt(sample size)
1.645 * 13.1 / sqrt(47)
1.645 * (13.1 / 6.8556546)
1.645 * 1.9108313
Hence, the margin of error is :
3.1433174885
= 3.14
X²+15x+36<0
at first solve quadratic equation
D=b²-4ac= 225-4*1*36= 81
x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3
we can write x²+15x+36<0 as (x+12)(x+3)<0
(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
1 case) x+12<0, and x+3>0,
x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set
or second case) x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3) they are crossing , so (-12, -3) is a solution of this inequality
69 is the correct answer
460 divided by 100 times 15 = 69
Megan`s plant:
Rate: ( 7 - 4.5 ) / ( 2 - 1 ) = 2.5 in per week
Suzanne`s plant:
Rate: ( 7 - 5 ) / ( 2 - 1 ) = 2 in per week
Answer:
D ) Megan`s at 2.5 inches per week
Answer:
In this question ;
key word is <em><u>descends</u></em> which means <em><u>going down</u></em>
now the position is -300 which means it's under water and it descends 115 m that means now it's even more under water
position now is -300 -115 = <u>-415m</u>
<u> </u>
