Answer:
0.15%
Step-by-step explanation:
We have been given that IQ scores have a bell-shaped distribution with a mean of 97 and a standard deviation of 12. We are asked to find the percentage of IQ scores that are greater than 133 using the empirical rule.
First of all, we will find z-score for given sample score of 133 as z-score tells us a data point is how many standard deviation away from mean.
, where,
= Z-score,
= Sample score,
= Mean,
= Standard deviation.
We know that according to the empirical rule 68% of data lies within one standard deviation of mean, 95% of data lies within two standard deviation of mean and 99.7% of data lies within one standard deviation of mean.
Since 133 is 3 standard deviation above mean, so 0.3% lies above and below 3 standard deviation.
Since we need IQ scores above 133, so we will divide 0.3% by 2 as:
Therefore, 0.15% of IQ scores are greater than 133.
47 and 48 are the integers.
Step-by-step explanation:
Let,
x and x+1 be the integers, therefore, according to statement;
2nd Integer = x+1
2nd Integer = 47+1
2nd integer = 48
47 and 48 are the integers.
Keywords: Addition
Learn more about addition at:
#LearnwithBrainly
Answer: : it’s 40
hope this helps :)
Step-by-step explanation: Just substitute the variable with the number and use pemdas.
First you have to multiply 5/13 by -26, then add 50 to what you get.
Answer: probability of Jake took 2 reds marbles = 3/52
probability of John took 1 blue marble = 1/8
Step-by-step explanation:
Okay, I will assume in this problem that the sample is not replacement, which means after Jake took 2 marbles, he didn't put it back into the sample.
The total of the sample = 20 + 10 +5 +5
Probability of Jake took the 1st red marble is 10/40 because there are 10 marbles in a whole bag of 40 marbles. Once Jack picked the 1st red marble out, there are only 9 red marbles left, thus the probability of the 2nd red marble is 9/39.
=> probability of Jake took 2 reds marbles = (10/40) *(9/39) = 3/52
and it goes the same way for John, except we only need to find 1 blue marble so we don't have to multiply anything here.
=> probability of John took 1 blue marble = 5/40 = 1/8
Answer:
3/8
Step-by-step explanation:
