Mathematics, 26.02.2021 01:20 enriqueliz1680

THIS IS FOR chrissy7905: Consider a set S = {2, 4, 6, 8, x, y} with distinct elements. If x and y are both prime numbers and 0 < x < 40 and 0 < y < 40, which of the following MUST be true? A. I only
B. I and II only
C. I and III only
D. III only
E. I, II, and III

Answers: 1

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Answer from: gsmgojgoss9651

the answer would be e

Step-by-step explanation:S = {2, 4, 6, 8, x, y}

x and y are both prime numbers and 0 < x < 40 and 0 < y < 40

I. The maximum possible range of the set is greater than 33.

The biggest prime number < 40 is 37 . To obtain the max possible range either x or y has to be 37

Range = 37-2 = 35

True

II. The median can never be an even number.

S = {2, 4, 6, 8, x, y}

If x and y are prime numbers greater than 8 , then median will be (6+8)/2 = 7

If x and y are 3 and 5 , then set S = {2,3,4,5,6,8} , then median will be = 9/2

If x = 3 , then set S = { 2,3,4,6,8, y} , then median will be = 5

If x = 5 , then set S = { 2,4,5,6,8,y} , then median will be = 11/2

If x = 7 , then set S ={ 2,4,6,7,8,y} , then median will be = 13/2

Median will either be an odd number or a decimal .

True

III. If y = 37, the average of the set will be greater than the median.

S = {2, 4, 6, 8, x, 37}

The average will be least when x is smallest

S = {2, 3, 4, 6, 8, 37}

If x=3 , then average will be 60/6 = 10 and median will be 5 .

The median will be highest when x>8 , median = 7 , now the average will be more than 10 .

Answer from: dbethel8408

im not good at theseee ;( give me any algebra equation and i can do it in like 5 seconds heh

Step-by-step explanation:

Answer from: Quest

the naturalist literary movement was an extension of the realist literary movement, a movement that strove to portray life as it really was hope it

step-by-step explanation:

Answer from: Quest

we have three similar triangles, because each has a right angle and shares an angle. let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

$(5 + x)/6 = 6/x$

$x(x+5) = 36$

$x^2 +5x - 36 = 0$

$(x+9)(x-4) = 0$

we reject the negative root and conclude x=4

answer: 4

If bc = 6 and ad = 5, find dc. a) 4 b) 4.5 c) 7.2

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THIS IS FOR chrissy7905: Consider a set S = {2, 4, 6, 8, x, y} with distinct elements. If x and y ar...