Answer: option B
Step-by-step explanation:
Miguel has to take two quizzes
1) 4 true or false questions on History with a 0.5 chance of acing the quiz
Expected number of correct questions = np
n = number of questions
p = probability of acing the test
Expected number of correct questions = 4 × 0.5 = 2
2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.
Expected number of correct questions = 0.2 × 3 = 0.6
It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.
You would have no problem at all if it said "7 cows minus 2 cows", or "7 books minus 2 books". The THINGS just happen to be m's instead of cows or books.
Answer:
0.0625 Inches
Step-by-step explanation:
Divide the decrease in water level by the length of the time interval.
decrease = 7/12 inches ≅ 0.583 inches
Time interval: From 11 pm to 8:20 am you have 9:20 hours = (9 + 20/60) hours ≅ 9.33 hours
So the water drops at a rate of about
0.583/9.33 inches/hour ≅ 0.0625 inches/hour
That means that each hour it drops about 0.0625 inches.
Let’s do 3x - 8 ≤ 23 first.
You need to rearrange this so that x is on its own.
+8 to both sides
3x ≤ 31
/3 on both sides
x ≤ 31/3
Then the second, -4x + 26 ≥ 6
-26 from both sides
-4x ≥ -20
/-4 on both sides
x ≥ 5
So x is greater than or equal to 5, which can also be written as 5 ≤ x
And for the first one, x is less than or equal to 31/3, which can still be written as x ≤ 31/3, so your final answer is:
5 ≤ x ≤ 31/3