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Damm [24]
3 years ago
7

Subtract- a(b-5) from b(5-a)

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

Answer:

5b - 5a

Step-by-step explanation:

b(5 - a) = 5b - ab

- a(b - 5) = - ab + 5a

Subtracting gives

5b - ab - (- ab + 5a) ← distribute parenthesis by - 1

= 5b - ab + ab - 5a ← collect like terms

= 5b - 5a

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A data scientist studying a manufacturing process classifies each item produced by the process as either Poor, Acceptable, or Ex
Genrish500 [490]

Answer:

0.214 ; 0.064 ; 0.3859 ; 0.9966 ; 0.135

Step-by-step explanation:

Given the distribution :

Poor ___ Acceptable ____ Excellent

0.25 _____ 0.6 _________ 0.15

The data scientist receives three items produced by the manufacturing process.

Find the chance that:

a. all of items are Acceptable

0.6 * 0.6 * 0.6 = 0.6^3 = 0.214

b. none of the items is Acceptable

P(not acceptable) = 1 - p(acceptable) = 1 - 0.6 = 0.4

0.4 * 0.4 * 0.4 = 0.4^3 = 0.064

c. at least one of the items is Excellent

P(atleast one) = 1 - P(none)

P(not excellent) = 1 - 0.15 = 0.85

P(none is excellent) = 0.85^3 = 0.614125

Hence,

P(atleast one is excellent) = 1 - 0.614125 = 0.3859

d. not all of the items are Excellent

P(not all) = 1 - p(All)

P(all excellent) = 0.15^3 = 0.003375

P(not all are excellent) = 1 - 0.003375 = 0.9966

e. there is one item of each class:

P(poor) * p(acceptable) * p(excellent) * (number of classes)!

0.25 * 0.6 * 0.15 * 3!

= 0.135

3 0
3 years ago
A hospital prepares a 100mg supply of technetium-99m which has a half-life of 6 hours. what is the decay factor?
SashulF [63]
For a half- life, the formula is
A(t) = A0(0.5)^( t / t_0.5)
where A(t) is the amount of substance at time t
A0 is the initial amount of subtance
t_0.5 is the time it will reduce its amount to half
t is the time

substitute the given to the formula
A(t) = 100(0.5)^( t/6 )
so the decay factor is 0.5^( t/6 )
6 0
3 years ago
40% of what number is 28
Leto [7]
70
0.4x=28
x=28/0.4
x=70
7 0
3 years ago
Read 2 more answers
PLS HELP ME ASAP FOR 1 and 2 (SHOW WORK!) LOTS OF POINTS
netineya [11]
Well, number 1 is A, or p = 6t. This is because the number of points is equal to the number of touchdowns times six. *6 = (6)(1) *12 = (6)(2) *18 = (6)(3), etc
8 0
3 years ago
Can someone please help me with this?
ycow [4]

Answer:

the answer would be B) no solution

Step-by-step explanation:

The two equations are parrael and that makes it have no solution.

Hope this helps. just let me know if you have any questions about my answer.

3 0
2 years ago
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