Terry has been a returning contestant on a game show for the last seven weeks. In a contestant's first seven appearances on the show they have a chance to answer one question and win anywhere between $200-$900. On their eighth appearance they get a chance to answer a question worth $10,000. Given Terry's winnings in the following table, describe what would happen to the mean and median of the data set if she were to get the Week 8 question right.

Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
$767
$477
$340
$680
$464
$207
$635
a.
The mean increases by $1,696.30, the median increases by $556.
b.
The mean increases by $1,696.30, the median increases by $79.
c.
The mean increases by $1,186.25, the median increases by $79.
d.
The mean increases by $1,186.25, the median increases by $556.

b.

The mean increases by $1,696.30, the median increases by $79.

Step-by-step explanation:

THe mean of the 7 wins is given by

: 767+477+340+680+464+207+635/7

this equals: 510,

the new mean will be

767+477+340+680+464+207+635 +10000/8

which comes out to be:

1696.25

This is bigger than the previous mean by :

1186.25

Now the median of the first 7 observations would be:

477

of the 8 observations it woulf be

477 + 635/2

which comes out to be 79

where is the graph, sweetheart?

step-by-step explanation:

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft