Answer: The correct answer is option C: Both events are equally likely to occur
Step-by-step explanation: For the first experiment, Corrine has a six-sided die, which means there is a total of six possible outcomes altogether. In her experiment, Corrine rolls a number greater than three. The number of events that satisfies this condition in her experiment are the numbers four, five and six (that is, 3 events). Hence the probability can be calculated as follows;
P(>3) = Number of required outcomes/Number of possible outcomes
P(>3) = 3/6
P(>3) = 1/2 or 0.5
Therefore the probability of rolling a number greater than three is 0.5 or 50%.
For the second experiment, Pablo notes heads on the first flip of a coin and then tails on the second flip. for a coin there are two outcomes in total, so the probability of the coin landing on a head is equal to the probability of the coin landing on a tail. Hence the probability can be calculated as follows;
P(Head) = Number of required outcomes/Number of all possible outcomes
P(Head) = 1/2
P(Head) = 0.5
Therefore the probability of landing on a head is 0.5 or 50%. (Note that the probability of landing on a tail is equally 0.5 or 50%)
From these results we can conclude that in both experiments , both events are equally likely to occur.
Answer:
x = 3
Step-by-step explanation:
Given
- 3x + 2 = - 7 ( subtract 2 from both sides )
- 3x = - 9 ( divide both sides by - 3 )
x = 3
confidence interval for the mean battery life in the new model is [7.9489, 8.3045].
What is confidence interval ?
A confidence interval, in statistics, refers to the chance that a population parameter can fall between a collection of values for an exact proportion of times.
Main body:
Formula for confidence interval is =
CI = x- bar ± z*s/√n where,
CI = confidence interval
x- bar = sample mean
z = confidence level value
{s} = sample standard deviation
{n} = sample size
given ;
n = 6
mean = (8.23+7.89+8.14+8.25+8.30+ 7.95)/6
= 8.127
value of z for 95% C.I. = 1.96
C.I. = 8.127 ± 1.96 * 0.22/√6
C.I. = 8.127 ± 0.1781
C.I. =[7.9490, 8.3044]
Hence correct option is A.
To know more about confidence interval , visit:;
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381 meters because you divide 1250 by 3.281 and you get 381 meters
