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olga_2 [115]
3 years ago
6

M is the midpoint of YZ. If YM = x + 3, and YZ = 3x -1, find MZ

Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0

Answer:

MZ =2x - 4


Step-by-step explanation:

YM = x +3

YZ = 3x -1

YZ =YM +MZ

3x - 1  =  x +3 +MZ

MZ = 3x -1  - [x+3]

MZ =  3x -1 -x -3

MZ = 2x -4

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A manufacturing process is designed to produce bolts with a 0.25-in. diameter. Once each day, a random sample of 36 bolts is sel
Troyanec [42]

Answer:

0.6170

Step-by-step explanation:

Given that a manufacturing process is designed to produce bolts with a 0.25-in. diameter.

i.e. no of bolts which are produced as per standard is X means then

X is normal with mean = 0.250 and std dev = 0.04

No of bolts tested = 36

If this mean falls outside the interval (0.230,0.270) the production would be shut down.

i.e. P(|x-25|>0.20) =production shut down probability

P(|x-25|>0.20)\\=P(|Z|>0.5)\\=2(0.5-0.1915)\\= 0.6170

3 0
3 years ago
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quester [9]

Answer:

\sqrt{2\frac{7}{8} } =\\\sqrt{\frac{25}{8} } =\\\sqrt{\frac{25*2}{16} } =

±5√2/4

5 0
3 years ago
Find the prime factorization of each number 891
cricket20 [7]

Answer:

The prime factorization of 891 is 9^2*11

Step-by-step explanation:

Divide 891 by 9, 9, and finally, 11. Or use a factorization calculator.

6 0
3 years ago
Kindlyy solve this question..
Bas_tet [7]

Answer:

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Step-by-step explanation:

Volume of a sphere : V=4/3πr³

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3 years ago
F(n+1)=f(n)-5. If f(1)=100, what is f(6)
PilotLPTM [1.2K]

Answer:

<em>75</em>

Step-by-step explanation:

Given:

f(1) = 100

f(n+1) = f(n) - 5

Solve for:

f(6)

Solution:

f(1) = 100

f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5

f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1)  - 2 x 5

...

f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5

=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75

Hope this helps!

8 0
3 years ago
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