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mixer [17]
3 years ago
13

For sketching solutions for inequalities should there be a solid line or a dotted line at `x-y=5`?

Mathematics
1 answer:
Tpy6a [65]3 years ago
4 0
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A cable installer charges $42.50 per hour plus a $45.00 service charge your father firms hires him to hook up his company find t
Fiesta28 [93]
Y = 42.5x + 45.....for 5 hrs.....x = 5
y = 42.5(5) + 45
y = 212.50 + 45
y = 257.50 <===
5 0
3 years ago
Why is it that the orthocenter of an obtuse triangle must lie on the outside of the triangle?
Taya2010 [7]
It is important to understand the meaning of orthocenter in respect to a triangle first. Ii is actually the intersection of all the altitudes within a triangle. The altitudes can be drawn from an angle to the opposite side but the line should create a right angle with the side of the triangle. In case of obtuse triangle, the three lines would meet outside the triangle. I hope the answer helps.
6 0
3 years ago
About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Annette [7]

Answer:

<em>Standard deviation  for the number of people with the genetic mutation = 4.178</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given random sample size 'n' =600

proportion of the Population 'p'=3% or  0.03

Let 'X' be the random variable in binomial distribution

Mean of the  binomial distribution

                              μ = n p

                                 = 600 X 0.03

                                = 18

<em>Mean of the  binomial distribution ' μ ' =18</em>

<em>Standard deviation of the binomial distribution</em>

<em>                                 σ = </em>\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178

<u><em>Conclusion:</em></u><em>-</em>

<em>Standard deviation  for the number of people with the genetic mutation = 4.178</em>

8 0
3 years ago
There are n machines in a factory, each of them has defective rate of 0.01. Some maintainers are hired to help machines working.
frosja888 [35]

Answer:

a) 1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k!

b) 1 - ∑^(80x/d)_k=0 ((e^-λ) × λ^k) / k!

c) ∑²⁰ˣ_k=0 (3^k)/k! = 0.99e³

Step-by-step explanation:  

Given that;

if n ⇒ ∞

p ⇒ 0

⇒ np = Constant = λ,  we can apply poisson approximation

⇒ Here 'p' is small ( p=0.01)

⇒ if (n=large) we can approximate it as prior distribution

⇒ let the number of defective items be d

so p(d) = ((e^-λ) × λ) / d!

NOW

a)

Let there be x number of repairs, So they will repair 20x machines on time. So if the number of defective machine is greater than 20x they can not repair it on time.

λ[n0.01]

p[ d > 20x ] = 1 - [ d ≤ 20x ]

= 1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k!

b)

Similarly in this case if number of machines d > 80x/3;

Then it can not be repaired in time

p[ d > 80x/3 ]

1 - ∑^(80x/d)_k=0 ((e^-λ) × λ^k) / k!

c)

n = 300, lets do it for first case i.e;

p [ d > 20x } ≤ 0.01

1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k! = 0.01

⇒ ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k! = 0.99

⇒ ∑²⁰ˣ_k=0 (λ^k)/k! = 0.99e^λ

∑²⁰ˣ_k=0 (3^k)/k! = 0.99e³

8 0
3 years ago
Will make bianleast no picture
natita [175]

Answer:  24, 24, 47

<u>Step-by-step explanation:</u>

In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations.

a + b > c       &       a + c > b        &        b + c > a

23 + 28 = 51 which is NOT greater than 55

15 + 30 = 45 which is NOT greater than  45

8 + 17 = 25 which is NOT greater than 25

24 + 24 > 47      &        24 + 47 > 24       &       24 + 24 > 27

all combinations are true so these side lengths can form a triangle

7 0
3 years ago
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