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KIM [24]
3 years ago
13

The sum of the first and third of three consecutive even integers is 164. Find the three even integers.

Mathematics
1 answer:
givi [52]3 years ago
7 0
The three even integers are 80, 82, and 84.

The sum of the first (80) and the third (84) integers = 80 + 84 = 164, verifying our answer.

A simple way to figure this out is to divide 164 by 2, which gives you 82. From this answer, if we subtract 2 to get the first integer and add 2 to get the third integer while keeping 82 as the second integer, we end up with the correct sum of 164.

Hope this helps!
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Evaluate the function when x = -3
Marta_Voda [28]

Answer:

10

Step-by-step explanation:

f(-3)=-2(-3)+4=6+4=10

3 0
3 years ago
Need help asap, thanks!!!ヾ(⌐■_■)ノ♪
Lelu [443]

Step-by-step explanation:

the probability of making one shot is 75% or 0.75 or 3/4.

the probability to make 2 shots is then

3/4 × 3/4 = 9/16 = 0.5625

and so on.

the probability to miss 1 shot is then 25% or 0.25 or 1/4.

the probability to make at least 4 out of 5 shots is the sum of the probability to make all 5 shots plus the probability to make 4 shots.

or the probability to miss 0 plus the probability to miss 1 shot.

anyway, we can go with the positive approach. it seems to be the same complexity as the negative approach.

the probability to make all 5 shots is

(3/4)⁵ = 3⁵/4⁵ = 243 / 1024 = 0.237304688...

the probability to e.g make the first 4 shots and miss the 5th is

(3/4)⁴×1/4 = 3⁴/4⁵ = 81 / 1024 = 0.079101563...

how many possibilities do we have to make 4 out of 5 shots ?

there is no repetition, and the sequence inside the "picked" 4 does not matter, so we need combinations :

C(5,4) = 5! / (4! × (5-4)!) = 5

so, the probability to make exactly 4 out 5 shots is

81/1024 × 5 = 405/1024 = 0.395507813...

and the total probability to make at least 4 shots is

243/1024 + 405/1024 = 648/1024 = 81/128 = 0.6328125

to control,

this plus making exactly 3 plus exactly 2 plus exactly 1 plus none must be the probability 1 (as there is no other possible outcome).

making 3 :

(3/4)³×(1/4)² = 3³/4⁵ = 27/1024

C(5,3) = 5×2 = 10

270/1024

making 2 :

3²/4⁵ = 9/1024

C(5,2) = 5×2 = 10

90/1024

making 1 :

3/1024

C(5,1) = 5

15/1024

making 0 :

1/1024

in sum

(270+90+15+1)/1024 = 376/1024

plus the 648/1024 = 1024/1024 = 1

correct.

4 0
2 years ago
The elevation of driskill mountain Louisiana is 163 meters above sea level death Valley has an elevation of -86 meters right any
timama [110]

Answer:

-86

Step-by-step explanation:

We have been given that the elevation of driskill mountain Louisiana is 163 meters above sea level. The death Valley has an elevation of -86 meters.

We can represent this information in an inequality as: -86. Our inequality means that the elevation of death valley is less than elevation of driskill mountain.  

8 0
3 years ago
Read 2 more answers
What’s the sum of 20x^2-10x-30
Vladimir [108]
10(x+1)(2x−3) I think
8 0
3 years ago
Read 2 more answers
(c) what is the probability that diameter is within 2 mm of the mean diameter? (round your answer to three decimal places.)
postnew [5]
????????????????????????????????????????????????????????????
7 0
3 years ago
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