Answer:
x=-21
Step-by-step explanation:
1/3x + 9 = 2
subtract 9 on both sides
1/3x = -7
multiply 3 on both sides bc its the reciprocal of 1/3
and you get -21
Im assuming it to mean square root of 3
= 5 sqrt6 + 4*3
= 12 + 5 sqrt6
Answer:
z score for officer1 is 1, he will be promoted.
z score for officer2 is 0.33, she will not be promoted.
Step-by-step explanation:
Officer 1 get 74 points. O1=74
Officer 2 get 68 points. O2=68
Mean of the exam is 65 and standart deviation is 9 . M=65 and s=9
1) z-score for O1 can be found using the formula:
=1
2) z-score of O2 is
=0.33
Promotion is gained if an officer (O), scores higher than 80% of the officers taking the exam. This means they need to be at least in the top 20% of the exam. Therefore we look for the corresponding z score for the P(z)=0.2 which is 0.8416. Since z-score of O1 is bigger that 0.8416, he promotes. Officer2 who got 68 from the exam cannot promote since corresponding z-score is less than 0.8416
Answer: 3
Step-by-step explanation:
Answer:
On the sixth day (10 - 4), the worm was 2.5mm long.
Step-by-step explanation:
Giving the following information:
Future Value= 40mm
Present Value= 2.5mm
Number of periods (n)= ?
Growth rate= 100% per day
<u>First, we need to calculate the number of days it will take to grow from 2.5mm (PV) to 40mm (FV):</u>
<u></u>
n= ln(FV/PV) / ln(1+i)
n= ln (40 / 2.5) / ln (2)
n= 4
It will take 4 days.
On the sixth day (10 - 4), the worm was 2.5mm long.