A) There are 36 possible outcomes.
b) The probability of a sum of 6 is 5/36.
c) She should roll a sum of 7 45 times.
d) She should roll a sum of 10 45 times.
Explanation
a) There are 6 outcomes for the first die and 6 outcomes for the second one. By the fundamental counting principle, there are 6*6 = 36 outcomes for both dice together.
b) The ways to get a sum of 6 are:
1&5; 2&4; 3&3; 4&2; 5&1. There are 5 possibilities out of a total of 36, or 5/36.
c) The ways to get a sum of 7 are:
1&6; 2&5; 3&4; 4&3; 5&2; 6&1. There are 6 out of 36, or 6/36=1/6. Since she is rolling the dice 150 times, she should get a sum of 6
1/6(150) = 150/6 = 45 times.
d) The ways to get a sum of 10 or more are:
4&6; 5&5; 6&4; 5&6; 6&5; 6&6
There are 6 ways out of 36, or 6/36 = 1/6. Since she is rolling the dice 150 times, she should get a sum of 10 or more
1/6(150) = 150/6 = 45 times.
Answer: It will take 8 hours to reach this temperature.
Step-by-step explanation:
Given: At a desert resort, the temperature at 7 a.m. was 3°C.
The temperature increased by an average of 3.4°C each hour until it reached 30.2°C.
Let x be the number of hours taken to reach 30.2°C..
As per given ,
Initial temperature +(average increase in temperature) (Number of hours) = 30.2
⇒3+3.4x=30.2
⇒3.4x=30.2-3
⇒3.4x=27.2
⇒ x=8 [Divide both sides by 3.4]
Hence, it will take 8 hours to reach this temperature.
1/2 * 1/2 = 1/4 there is a 25% chance that they will both occur
Answer:
626 and 654
Step-by-step explanation:
Given that a television sports commentator wants to estimate the proportion of citizens who "follow professional football."
Part I:
p = 0.48
Margin of error =
Sample size should be >626
Part II:
If unknown we take p = 0.5 because maximum std error for this
Here everything would be the same except insted of 0.48 we use 0.5
Margin of error = 
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a and b are too close because 0.46 proportion is close to part b proporti0n 0.5
