I'd go with your third option, 6.
Half the diameter (the radius, also the hypotenuse for the right triangle) is 10 units.
Half of the chord given by that blue line segment is 8 units. Now we do the Pythagorean Theorem (a² + b² = c²) to find the length of x.
x² + 8² = 10²
x² + 64 = 100
x² = 36
√x² = √36
x = 6
Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:

<h3>What are the hypotheses tested?</h3>
At the null hypotheses, it i tested if the mean difference remains the same, that is:

At the alternative hypotheses, it is tested if it has decreased, hence:
.
<h3>What is the test statistic?</h3>
The test statistic is given by:

The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
- s is the standard deviation of the sample.
The parameters are given as follows:
.
Hence the test statistic is given by:


More can be learned about the t-distribution at brainly.com/question/16162795
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Answer:

Step-by-step explanation:
Given

Required
Determine the expression for s
The speed is calculated as:

Substitute S for speed

Let the number of books be b and the time be m.
The expression becomes

Hence, the expression for the scenario is:

Answer:
Triangle GAS = Triangle IOL by rule AAS
Step-by-step explanation:
The points must be ordered correctly so they correspond within the triangles. Point G = Point I, Point A = Point O, Point S = Point L.
A rule for determining Triangle Congruency is AAS. If two angles and a side of a triangle are equal to one of another triangle, the triangles are congruent.