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.
Solve for x by cross multiplying
Exact form: x= 191/7
Decimal form :x=27.28571428
Mixed number form:x=27 2/7
Answer:
30 = 5y - 4x or 6 + (4x/5) = y (in mx + c = y form)
Step-by-step explanation:
slope =
- 
/ 
- 
now, = 2
= -5
insert the values of these two in the slope formula and equate it with 4/5.
by cross multiplication, obtain equation.
the equation is 30 = 5y-4x.
hope this helps you!
Answer:
<em>x = 32</em>
Step-by-step explanation:
This is an isosceles triangle since two sides have length 10. The angles opposite the congruent sides are congruent. There is an angle measuring 116 deg, and two angles measuring x. The sum of the measures of the angles of a triangle is 180.
x + x + 116 = 180
2x + 116 = 180
2x = 64
x = 32
Given :
Length of ramp( Hypotenuse ), l = 10 ft .
Length of base, b = 5 ft .
To Find :
How high were the porch steps.
Solution :
Let, height is h.
By Pythagoras theorem :
Hence, this is the required solution.
