12 students
40% earned a B; 20% earned an A, so (40%+20% =) 60% got a "B or better."
60% of 20 students is ...
... 60/100 × 20 students = 1200/100 students = 12 students
Answer: tan W= opposite/adjacent = 7/24
Step-by-step explanation:
Answer:
A is correct
Step-by-step explanation:
Answer:
71.63 kilowatts hours
Step-by-step explanation:
We are told in the question:
John's electricity bill costs $20.90 per month plus $1.23 per kilowatt hour.
We are to find, How many kilowatt hours can he use and keep his monthly cost no more than $109.
Step 1
$109 - $20.90
= $88.1
$88.1 is the amount left to spend on killowatts of electricity per hour after removing the normal monthly electricity bill in a month
Step 2
$1.23 = 1kilowatts per hour
$88.1 = y kilowatts per hour
Cross Multiply
= $1.23 × y kilowatts per hour = $88.1 × 1 kilowatts per hour
y kilowatts per hour = $88.1 × 1 kilowatts per hour/ $1.23
= 71.62601626kilowatts hour.
Approximately = 71.63 kilowatts hour
Therefore, John can use 71.63 kilowatts per hour and keep his monthly cost no more than $109
Answer:
71
kilowatt hours can he use and keep his monthly cost no more than $109
Answer:
C.
Step-by-step explanation:
Answer:
The value of Q is 350.
Step-by-step explanation:
Denote the events as follows:
X = the test is positive
Y = the test is negative
A = the person is telling the truth
B = the person is telling a lie.
It is provided that:
P (B ∩ X) = 0.90
P (A ∩ Y) = 0.50
Then:
P (B ∩ Y) = 1 - P (B ∩ X) = 1 - 0.90 = 0.10
P (A ∩ X) = 1 - P (A ∩ Y) = 1 - 0.50 = 0.50
To test the accuracy of lie-detector a police officer tests 1000 suspected criminals.
It is assumed that 700 per 1,000 suspected criminals tell the truth during polygraph tests.
The table needed to be completed is:
Truth (A) Lie (B) TOTAL
Positive (X) Q __ __
Negative (Y) __ P __
TOTAL __ __ __
For the 1000 suspected criminals selected complete the table as follows:
Given:
Truth (A) Lie (B) TOTAL
Positive (X) Q __ __
Negative (Y) __ P __
TOTAL 700 300 1000
n (A ∩ X) = P (A ∩ X) × n (A)
= 0.50 × 700
= 350
n (A ∩ Y) = P (A ∩ Y) × n (A)
= 0.50 × 700
= 350
n (B ∩ X) = P (B ∩ X) × n (B)
= 0.90 × 300
= 270
n (B ∩ Y) = P (B ∩ Y) × n (B)
= 0.10 × 300
= 30
n (X) = n (B ∩ X) + n (A ∩ X)
= 270 + 350
= 620
n (Y) = n (B ∩ Y) + n (A ∩ Y)
= 30 + 350
= 380
Complete table is:
Truth (A) Lie (B) TOTAL
Positive (X) Q = 350 270 620
Negative (Y) 350 P = 30 380
TOTAL 700 300 1000
Thus, the value of Q is 350.