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IrinaVladis [17]
3 years ago
11

(9,9) (12,15) find the slope between two points

Mathematics
1 answer:
BigorU [14]3 years ago
7 0
<span>(9,9) (12,15)

Find the slope by using the slope formula. 

m = y2 - y1 / x2 - x1
m = 15 - 9/12 - 9
m = 6/ 3
m = 2

The slope = 2</span>
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The probability that a lab specimen contains high levels of contamination is 0.10. A group of 4 independent samples are checked.
galben [10]

Answer:

a) 0.6561

b) 0.2916

c) 0.3439    

Step-by-step explanation:

We are given the following information:

Let us treat high level of contamination as our success.

p = P(High level of contamination) = P(success) = 0.10

n = 4

The, by binomial distribution:

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}\\\text{where x is the number of success}

a) P(No high level of contamination)

We put x = 0, in the formula.

P(X=0) = \binom{4}{0}.(0.10)^0.(1-0.10)^{4} =0.6561

Probability that no lab specimen contain high level of contamination is 0.6561

b) P(Exactly one high level of contamination)

We put x = 1, in the formula.

P(X=1) = \binom{4}{1}.(0.10)^1.(1-0.10)^{3} =0.2916

Probability that no lab specimen contain high level of contamination is 0.6561

c) P(At least one contains high level of contamination)

p(x \geq 1) = 1 - p( x = 0) = 1 - 0.6561 = 0.3439

Probability that at least 1 lab specimen contain high level of contamination is 0.3439

8 0
3 years ago
____________ is the recruitment of new blood vessels from the network neighboring blood vessels, accelerating the growth of a tu
Hunter-Best [27]

Angiogenesis is the first one

angiogenesis Cell Respiration is the second one

7 0
3 years ago
Algebra help - asymptotes
motikmotik

Find where the equation is undefined ( when the denominator is equal to 0.

Since they say x = 5, replace x in the equation see which ones equal o:

5-5 = 0


So we know the denominator has to be (x-5), this now narrows it down to the first two answers.


To find the horizontal asymptote, we need to look at an equation for a rational function: R(x) = ax^n / bx^m, where n is the degree of the numerator and m is the degree of the denominator.


In the equations given neither the numerator or denominators have an exponent ( neither are raised to a power)

so the degrees would be equal.

Since they are equal the horizontal asymptote is the y-intercept, which is given as -2.


This makes the first choice the correct answer.

8 0
3 years ago
A system of equations is shown below. Find the solution by using substitution.
ASHA 777 [7]

Answer:

a) (-2, 0)

Step-by-step explanation:

x + 2 = 3x + 6

-3x - 3x

___________

−2x + 2 = 6

- 2 - 2

_________

4 = −2x

_ ___

−2 −2

-2 = x [Plug this back into both equations above to get the y-coordinate of 0]; 0 = y

I am joyous to assist you anytime.

5 0
3 years ago
If 2x + 5y = 21 and x + y = 3, then what is the solution
Viefleur [7K]
2x+5y=21, x+y=3
y=3-x
2x+5y=21
2x+5(3-x) =21
2x+15-5x=21
2x-5x+15=21
-3x+15=21
-3x=21-15
-x=6/3
-x=2
x=-2

8 0
2 years ago
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