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Alex is constructing a square in which two of its vertices are points X and Y. He has already used his straightedge and compass to construct the lines and arcs shown.
What should Alex do for his next step?
A. Use a straightedge to draw a horizontal line that contains point Z.
B. Place the point of the compass on point X and draw any arc above it.
C. Use a straightedge to draw XZ¯¯¯¯¯ .
D. Place the point of the compass on point Y and draw an arc that intersects YZ¯¯¯¯¯ , using XY as the width of the opening of the compass.
Alex is constructing a square in which two of its vertices are points X and Y. He has already used his straightedge and compass to construct the lines and arcs shown.
What should Alex do for his next step?
A. Use a straightedge to draw a horizontal line that contains point Z.
B. Place the point of the compass on point X and draw any arc above it.
C. Use a straightedge to draw XZ¯¯¯¯¯ .
D. Place the point of the compass on point Y and draw an arc that intersects YZ¯¯¯¯¯ , using XY as the width of the opening of the compass.
2 answers:
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Answer:
C) a sample distribution of a sample mean with n = 10
and
Step-by-step explanation:
Here, the random experiment is rolling 10, 6 faced (with faces numbered from 1 to 6) fair dice and recording the average of the numbers which comes up and the experiment is repeated 20 times.So, here sample size, n = 20 .
Let,
= The number which comes up on the ith die on the jth trial.
∀ i = 1(1)10 and j = 1(1)20
Then,
=
= 3.5 ∀ i = 1(1)10 and j = 1(1)20
and,
=
=
=
15.166667
so, =
= 2.91667
and =
Now we get that,
We get that are iid RV's ∀ j = 1(1)20
Let,
So, we get that
= for any i = 1(1)10
= 3.5
and,
Hence, the option which best describes the distribution being simulated is given by,
C) a sample distribution of a sample mean with n = 10
and
Answer:
38,38,380
Step-by-step explanation:
GIVEN: A club is considering changing its laws. In an initial straw vote on the issue, of the
members of the club favored the change and
did not. A committee of six is to be chosen from the
club members to devote further study to the issue.
TO FIND: How many committees of six can be formed from the club membership.
SOLUTION:
Total number of members
Total members to be chosen
To select committee of members from
Hence 38,38,380 different committee can be formed.