Answer:
The probability that 75% or more of the women in the sample have been on a diet is 0.037.
Step-by-step explanation:
Let <em>X</em> = number of college women on a diet.
The probability of a woman being on diet is, P (X) = <em>p</em> = 0.70.
The sample of women selected is, <em>n</em> = 267.
The random variable thus follows a Binomial distribution with parameters <em>n</em> = 267 and <em>p</em> = 0.70.
As the sample size is large (n > 30), according to the Central limit theorem the sampling distribution of sample proportions (
) follows a Normal distribution.
The mean of this distribution is:
The standard deviation of this distribution is: 
Compute the probability that 75% or more of the women in the sample have been on a diet as follows:
**Use the <em>z</em>-table for the probability.
Thus, the probability that 75% or more of the women in the sample have been on a diet is 0.037.
Answer:
No.
Step-by-step explanation:
(x+1)^2=(x+1)(x+1)=x^2+x+x+1=x^2+2x+1
This is different from x^2+1.
Thus, they are not equivalent.
Answer:
what's the equation??
Step-by-step explanation:
I'll help anytime
Answer:
d. The median and the IQR
Step-by-step explanation:
The median separates the upper half from the lower half of a set. So 50% of the values in a data set lie at or below the median, and 50% lie at or above the median. This means that the median is the appropriate numerical measure to describe the center.
The first quartile(Q1) separates the lower 25% from the upper 75% of a set. So 25% of the values in a data set lie at or below the first quartile, and 75% of the values in a data set lie at or above the first quartile.
The third quartile(Q3) separates the lower 75% from the upper 25% of a set. So 75% of the values in a data set lie at or below the third quartile, and 25% of the values in a data set lie at or the third quartile.
The quartiles are used to measure the spread of a data-set.
The interquartile range(IQR), is Q3-Q1.
So the correct answer is:
d. The median and the IQR
The original statement is true by the definition of what constitutes a right angle. It's simply set up this way.
The contrapositive would be the statement "if the angle does not measure 90 degrees, then the angle is not a right angle" which is also a true statement. Example: a 37 degree angle is not a right angle.
Note: the original conditional "If P, then Q" would have the contrapositive be in the form "If not Q, then not P". We flip P and Q, and stick "not"s in front of both parts.
So this is why the answer is choice D
