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kakasveta [241]
2 years ago
7

How do I solve the equation?

Mathematics
1 answer:
trapecia [35]2 years ago
5 0

Answer:

(-3, 5) radius- r= 5

Step-by-step explanation:

x^2+6x+y^2-10y=-9

Rewrite ^2+6x+y^2-10y=-9 in the form of the standard circle equation

(x-(-3))^2+(y-5)^2= 5^2

Therefore the circle properties are:

(a, b)=(-3, 5), r= 5

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Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou
RSB [31]

Answer:

b) 0.2961

c) 0.2251

d) Mean = 11.25, Standard deviation =  1.667  

Step-by-step explanation:

We are given the following information:

We treat trucks undergoing a brake inspection passin as a success.

P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

  1. There are n independent trial.
  2. Each trial have a success probability p
  3. The probability of success is same for all trials.

Then the number of trucks undergoing a brake inspection follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

b) P(proportion of groups will between 8 and 10 trucks pass the inspection)

We have to evaluate:

P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961

c) P( exactly 3 trucks fail the inspection)

p = 0.25

P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251

d) Mean and standard deviation

\mu = np = 15(0.75) = 11.25\\\sigma = \sqrt{np(1-p)} = \sqrt{15(0.75)(1-0.75)} = 1.667

6 0
3 years ago
What 3D shapes can you find around your kitchen? e.g. a tin of baked bean , a box of careal
Paul [167]

Answer:

i would a say Microwave

Step-by-step explanation:


7 0
3 years ago
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I really need help with this its past due
zloy xaker [14]
Sorry but grade math is this so I can have a better understanding
7 0
2 years ago
??????????????????????
gtnhenbr [62]

Answer:

110 degrees

Step-by-step explanation:

I don't know if that is correct.

6 0
3 years ago
1.5(x+4)-3=4.5(x-2)?
lukranit [14]

Answer:

x=4

Step-by-step explanation:

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2 years ago
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