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KengaRu [80]
2 years ago
5

What number is part of the solution set to the inequality below? z ≥ I -6 I (2,3,4,5,6)

Mathematics
2 answers:
babunello [35]2 years ago
7 0
Uhh 6 just the positive of | |
777dan777 [17]2 years ago
7 0
Yeah the other guy is correct well done
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A manufactured product has a length that is normally distributed with a mean of 12 cm. The product will be unusable if the lengt
Sav [38]

Answer:

a) σ  = 0,1612

b) P [ 11,75 < X < 12,35] = 0,92,44   or    92,44 %

Step-by-step explanation:

NOTE: I assume the unusable length s 11,5 and less

a) For a normal distribution, the probability of P = 0,01 corresponds to z(score) =  -3,1 then:

- 3,1 = ( X - μ₀ ) / σ

- 3,1 = (11,5 - 12 )/ σ

-3,1 = - 0,5 / σ

σ  = 0,1612

b) If σ = 0,1612

P [ 11,75 < X < 12,35]

z₁ (score)  = ( 11,75 - 12 ) / 0,1612

z₁  = - 0,25/ 0,1612

z₁  = -1,55

From z table  P [ 11,75 < X] = 0,0606

z₂ (score) = ( 12,35 - 12) / 0,1612

z₂ = 0,35 / 01612

z₂ = 2,17

From z table  P [ X < 12,35] = 0,9850

Finally P [ 11,75 < X < 12,35] = 0,9850 -  0,0606

P [ 11,75 < X < 12,35] = 0,92,44   or    92,44 %

5 0
3 years ago
Look at the figure shown below:
boyakko [2]

These are the steps, with their explanations and conclusions:


1) Draw two triangles: ΔRSP and ΔQSP.


2) Since PS is perpendicular to the segment RQ, ∠ RSP and ∠ QSP are equal to 90° (congruent).


3) Since S is the midpoint of the segment RQ, the two segments RS and SQ are congruent.


4) The segment SP is common to both ΔRSP and Δ QSP.


5) You have shown that the two triangles have two pair of equal sides and their angles included also equal, which is the postulate SAS: triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.


Then, now you conclude that, since the two triangles are congruent, every pair of corresponding sides are congruent, and so the segments RP and PQ are congruent, which means that the distance from P to R is the same distance from P to Q, i.e. P is equidistant from points R and Q


6 0
3 years ago
Read 2 more answers
13) The side length of the following cube is 8 cm. what is the length of the diagonal through its center?​
Scorpion4ik [409]

Answer: \sqrt{3} x 8 = 13.8564064606

Step-by-step explanation: The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3 (\sqrt{3}). Therefore, square root 3 (\sqrt{3}) is multiplied by the length (8 in our case) of either 6 faces of the cube.

Hope it helped!

5 0
3 years ago
Read 2 more answers
PLEASE HELP! I WILL GIVE BRAINIEST TO THE CORRECT ANSWER!
Readme [11.4K]
(b) because when you change 215% into a decimal it’s 2.15 then multiply that by 50 you get 170.5 and you move the decimal to get 1.705 so it’s b
5 0
3 years ago
Can someone pleaseeee help and if you’re correct i’ll give brainliest
bagirrra123 [75]

......Answer: V = 1046.6

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3 years ago
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