Answer:
47.06% of the population has an IQ between 85 and 105.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What percent of the population has an IQ between 85 and 105?
This is the pvalue of Z when X = 105 subtracted by the pvalue of Z when X = 85. So
X = 105
has a pvalue of 0.6293.
X = 85
has a pvalue of 0.1587
So 0.6293 - 0.1587 = 0.4706 = 47.06% of the population has an IQ between 85 and 105.
Answer:
We need to flip the symbol at the end of the question.
answer: x<= 6.5
Step-by-step explanation:
Given inequality: 2(x-4)+5<=4(x-4)
Distribute: 2x-8+5<=4x-16
Undo a constant term from left side: 2x-3<= 4x-16
Combining the like terms: 2x-4x<=-16+3
Undo the coefficient term from left: -2x<=-13
Undo the variable term: x<=(13/2)=6.5
Now checking if this is write: Lets take x=6<6.5
Put x=6 in given inequality:
2(6-4)+5<=4(6-4)
2(2)+5<=4(2)
4+5<=8
9<=8 (which is not possible)
so we need to flip the inequality
2(x-4)+5>=4(x-4)
9>8
The answer is 7/10. I hope this helps you, have a good day!
Answer:
Gary can go 4.9 miles in 84 minutes.
Step-by-step explanation:
First, you need to determine the amount of hours 84 minutes represent considering that 60 minutes are equal to an hour:
60 minutes → 1 hour
84 minutes → x
x=(84*1)/60=1.4 hours
Now, 1.4 hours would be the time which is x and you can replace the value on the formula to find y:
y=3.5x
y=3.5(1.4)
y=4.9
According to this, the answer is that Gary can go 4.9 miles in 84 minutes.
Answer:
no answer
Step-by-step explanation:
big brain
