Answer:
The first quartile of the IQ scores of adults is 82.26.
Step-by-step explanation:
The first quartile is the value that is greater than 25% of the observations and less than 75% of the observation.
The formula to compute the first quartile (Q₁) of a Normal distribution is:
The mean and standard deviation of the IQ scores of adults are:
Compute the first quartile value as follows:
Thus, the first quartile of the IQ scores of adults is 82.26.
P(over 6 ft) = 8/27
P(good aim) = 7/27
P(over 6 ft of good aim) = 8/27 + 7/27 = 15/27 = 5/9
To solve a proof, you need to distinguish which is the hypothesis and which is the conclusion. The hypothesis is the starting point and the conclusion is the ending point. We go from hypothesis to conclusion. A conditional statement can be written as If A, then B. Where A is the hypothesis and B is the conclusion.
For example, take this theorem.
If two sides of a triangle<span> are congruent, then the angles opposite those sides are congruent.
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We go from Two sides of a triangle are congruent to the angles opposite those sides are congruent.
The first statement's reason is pretty much always Given.
Statement | Reason
1. Two sides of a triangle are congruent 1. Given
.... After a bunch of steps
3. the angles opposite those sides are congruent. 3. Your postulate of definition of what reason you need to complete the last step.
Sorry if this is a little confusing.
Answer:
D) y = 1/4 x^2
Step-by-step explanation:
For these functions, the leading coefficient can be considered to be either ...
the vertical scale factor (larger ⇒ narrower)
the square of the inverse of the horizontal scale factor.
In the latter case, the horizontal scale factor will be larger (wider) when its inverse and the square of its inverse are smaller.
Either way, you're looking for the smallest leading coefficient: 1/4.
To more easily graph this, convert it to slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept):
x - y = 1
-y = -x + 1
y = x - 1
The slope is 1 and the y-intercept is -1. To graph this, plot the point (0, -1) and count 1 unit down and 1 unit to the right. Do this once more, connect the points, and you have your line.
Hope this helps.
