Answer: All real numbers (choice A)
We can replace x with any real number we want without worrying about restrictions. There won't be any issues such as dividing by zero or applying the square root to a negative number.
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: f(x)=2^x
Step-by-step explanation: The f(x) value is 2 to the power of X. This means that the first few f(x) values are:
2,4,8,16,32.......
This shows that this function is growing in an exponential way
Answer:
α= 22°
β= 100°
Y= 50°
Step-by-step explanation:
Given are three different triangles,
In the first triangle, two of the angles are 38° and α° and the third angle would be 120°(using vertical opposite angle equal property).
We know sum of all three angles of a triangle
°
Substituting,

Similarly,
In the second triangle, two of the angles are 40° and 60° and the the angle we have to find is outside(β).
We know the outside angle is equal to the sum of opposite inside angles of a triangle.
Therefore,
β
In third triangle,'Y' is inside angle of the triangle and 70° and 160° are outside.
° makes linear pair,
sum of linear pair angles=
°
Therefore the angle of triangle next to
° would be
°
We see 'Y' is outside and opposite to both the inside angles
. thus applying the property,
°
Therefore 'Y' = 
A hundredth is two numbers behind the decimal, but you have 3. The last two numbers round up to 8, which would be your hundredth. 4 stays as your tenth. That makes your decimal .48. The answer is 5.48.