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3 years ago

Show that if x,y,z and w are the first four terms of an arithmetic sequence, then x+w-y=z

Mathematics

2 answers:

Rus_ich [418]3 years ago

8 0

Possible Answer

Let d be the common difference. Then, y = x + d, z = x + 2d, and w = x + 3d. Substitute these values into the expression x + w - y and simplify. x + (x + 3d) - (x + d) = x + 2d or z.

devlian [24]3 years ago

6 0

It would be 29 because of the c and the w y equal to z

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Joaquin and Trisha are playing a game in which the lower median wins the game. Their scores are shown below. Joaquin's scores: 7

alekssr [168]

Answer:

Step-by-step explanation:

Given

Joaquin's score is $75,72,85,62,58,91$

and Trisha's score is $92,90,55,76,91,74$

Arranging score in order of value we get

Joaquin's : $58,62,72,75,85,91$

Trisha's : $55,74,76,90,91,92$

as no of values is even therefore their median is

Joaquin's $=\frac{72+75}{2}=73.5$

Trisha's $=\frac{76+90}{2}=83$

Therefore median of Joaquin's is lower

Thus Joaquin wins the game

5 0

3 years ago

Read 2 more answers

Consider the equation n2+5=21.

lesya692 [45]

Step-by-step explanation:

n2+5=21

n2 =21-5

n2 = 16

n =16/2=8

6 0

2 years ago

The birth weights for twins are normally distributed with a mean of 2353 grams and a standard deviation of 647 grams. use z-sco

kirill [66]

I think that the answer is B

6 0

3 years ago

Read 2 more answers

45 POINTS!! PLEASE HELP!! Im struggling on a math assignment and if I fail the class I can't graduate. I need someone to create

Andrews [41]

Use Excel graphing. Then make histogram (a graph that represents values with columns)

6 0

3 years ago

SOLVE PLEASE THANKSS The perimeter of a rectangle is no more than 556 inches. The length is 150 inches. Write an inequality and

hoa [83]

So perimeter<556
permiter=2Legnth+2Width
so perimiter=2(legnth+width)

556/2>Legnth+width
228>legnth +width
legnth =150
so 228>150+width
subtract 150 from both sides
78>width
width cand be 78 or less but not 0 or negative

anoth way to do it is 556>2(150)+2width
556>300+2width
subtract 300 from both sides
256>2width
divide both sides by 2
78>width

8 0

2 years ago