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3 years ago

Which ordered pair is the solution to the system of inequalities

Mathematics

1 answer:

Kryger [21]3 years ago

3 0

Answer:

C) $(9, 4)$

Step-by-step explanation:

$4 < 5$ ☑

$4 < 3[9] → 4 < 27$ ☑

Therefore, this solution is genuine.

I am joyous to assist you anytime.

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an isosceles triangle is drawn with base angles 24 degrees and a base of 28 cm. Find the base angles of the isosceles triangle w

Fofino [41]

Answer:

Step-by-step explanation:

height = 14tan(24°)

area = 0.5(base)(height)

Find the angle that triples the height.

tanθ = 3×14tan(24°)

θ = arctan(3×14tan(24°)) ≅ 53.2°

8 0

2 years ago

Math help pls pls help urgent

erastova [34]

Step-by-step explanation:

what is the problem ? what needs to be done ?

all that you are showing here is the definition of a number range.

it means all numbers, for which 1.3 is smaller or equal.

in short, all numbers that are greater or equal to 1.3.

4 0

1 year ago

8 - 5x3, for x = -1<br><br> The 3 after the x is a exponent plz help!!!!

zvonat [6]

Answer:

Step-by-step explanation:

$8-5x^3$ , if x = -1

$=8-5(-1)^3$

$=8+5$

$=13$

6 0

3 years ago

Assuming the incident of fires for individual reactors can be described by a Poisson distribution, what is the probability that

Maksim231197 [3]

Complete Question

The Brown's Ferry incident of 1975 focused national attention on the ever-present danger of fires breaking out in nuclear power plants. The Nuclear Regulatory Commission has estimated that with present technology there will be on average, one fire for every 10 years for a reactor. Suppose that a certain state has two reactors on line in 2020 and they behave independently of one another. Assuming the incident of fires for individual reactors can be described by a Poisson distribution, what is the probability that by 2030 at least two fires will have occurred at these reactors?

Answer:

The value is $P(x_1 + x_2 \ge 2 )= 0.5940$

Step-by-step explanation:

From the question we are told that

The rate at which fire breaks out every 10 years is $\lambda = 1$

Generally the probability distribution function for Poisson distribution is mathematically represented as

$P(x) = \frac{\lambda^x}{ k! } * e^{-\lambda}$

Here x represent the number of state which is 2 i.e $x_1 \ \ and \ \ x_2$

Generally the probability that by 2030 at least two fires will have occurred at these reactors is mathematically represented as

$P(x_1 + x_2 \ge 2 ) = 1 - P(x_1 + x_2 \le 1 )$

=> $P(x_1 + x_2 \ge 2 ) = 1 - [P(x_1 + x_2 = 0 ) + P( x_1 + x_2 = 1 )]$

=> $P(x_1 + x_2 \ge 2 ) = 1 - [ P(x_1 = 0 , x_2 = 0 ) + P( x_1 = 0 , x_2 = 1 ) + P(x_1 , x_2 = 0)]$

=> $P(x_1 + x_2 \ge 2 ) = 1 - P(x_1 = 0)P(x_2 = 0 ) + P( x_1 = 0 ) P( x_2 = 1 )+ P(x_1 = 1 )P(x_2 = 0)$

=> $P(x_1 + x_2 \ge 2 ) = 1 - \{ [ \frac{1^0}{ 0! } * e^{-1}] * [[ \frac{1^0}{ 0! } * e^{-1}]] )+ ( [ \frac{1^1}{1! } * e^{-1}] * [[ \frac{1^1}{ 1! } * e^{-1}]] ) + ( [ \frac{1^1}{ 1! } * e^{-1}] * [[ \frac{1^0}{ 0! } * e^{-1}]]) \}$