Answer:
x∈(20/3;26/3)
Step-by-step explanation:
12 < 2x-4/3 < 16
first we add 4/3 to each side
12+4/3<2x<16+4/3
we bring to the same denominator
12*3/3+4/3<2x<16*3/3+4/3
(36+4)/3<2x<(48+4/3)
40/3<2x<52/3
now we divide by 2
20/3<x<26/3
x∈(20/3;26/3)
Answer:
a) 0.71
b) 0.06
Step-by-step explanation:
We solve using Baye's Theorem
It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
We have Two events
A and B
Events A = 88% of senior citizens suffer from sleep disorders
P(A) = 0.88
Event B = 7% suffer from anxiety
P(B) = 0.07
Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
P(A and B) = 0.05
a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.
This is calculated as:
P(A and B)/P(B)
= 0.05/0.07
= 0.7142857143
Approximately = 0.71
B) Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.
This is calculated as:
P(A and B)/P(A)
= 0.05/0.88
= 0.0568181818
Approximately = 0.06
• Subtract first: 333 - 112 = 221
• Divide second: 221 ÷ 4(months) = 55.25
• Equation: (333 - 112) ÷ 4
Barb deposited $55.25 each month.
Hope this helps! :D
~PutarPotato
Answer:
7*10*10*10 = 7000
7*10 = 70
70*10 = 700
700*10 = 7000
Step-by-step explanation:
The given expression is:
7*10^3
Here 10^3 means that 10 will be multiplied 3 times:
7*10*10*10 = 7000
How did we get 7000?
7*10*10*10 = 7000
7*10 = 70
70*10 = 700
700*10 = 7000
We can also say that there are 7 1000s in 7000....
Answer:
Rs. 4266.67(approx) will be paid for gazing 20 cows for 8 weeks.
Explanation:
A shepherd is paid rs. 2400 for gazing 18 cows for 5 weeks .
⇒ Number of money paid for gazing 1 cow for 1 week is, 
then,
for gazing 20 cows for 8 weeks is= Rs. 
Therefore, the amount paid for gazing 20 cows for 8 weeks is, 
or Rs. 4266.67(approx)
