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vivado [14]
2 years ago
14

What is the scale factor of 3x + 2, 3y -1? (will give brainliest)

Mathematics
1 answer:
stira [4]2 years ago
6 0

21 Line is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line is 3x − y = 4. Determine and state an.

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Each day, Robin commutes to work by bike with probability 0.4 and by walking with probability 0.6. When biking to work injuries
kvasek [131]

Answer:

64.65% probability of at least one injury commuting to work in the next 20 years

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}


In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Each day:

Bikes to work with probability 0.4.

If he bikes to work, 0.1 injuries per year.

Walks to work with probability 0.6.

If he walks to work, 0.02 injuries per year.

20 years.

So

\mu = 20*(0.4*0.1 + 0.6*0.02) = 1.04

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}


P(X = 0) = \frac{e^{-1.04}*1.04^{0}}{(0)!} = 0.3535


P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3535 = 0.6465

64.65% probability of at least one injury commuting to work in the next 20 years

3 0
3 years ago
Which expression is not a perfect square trinomial?
puteri [66]

Answer:

Remember that a perfect square trinomial can be factored into the form (a+b)^2

or (a-b)^2

Examples:

(x+2)(x+2) is a perfect sq trinomial --> x^2+4x+4

(x-3)(x-3) is a perfect sq trinomial --> x^2-6x+9

(x+2)(x-3) is not a perfect square trinomial because its not in the form (a+b)^2 or (a-b)^2

Now to answer your question,

for the first one, x^2-16x-64, you cannot factor it so it is not a perfect square trinomial

for the second one, 4x^2 + 12x + 9, you can factor that into (2x+3)(2x+3) = (2x+3)^2 so this is a perfect square trinomial

for the third one, x^2+20x+100 can be factored into (x+10)(x+10) so this is also a perfect square trinomial

for the fourth one, x^2+4x+16 cannot be factored so this is not a perfect square trinomial

Therefore, your answer is choices 2 and 3

Read more on Brainly.com - brainly.com/question/10522355#readmore

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is 4 1/6 divided by 10 in simplest form
Scilla [17]
10/7,8 ...................
3 0
3 years ago
Read 2 more answers
HELP with Geometry PLEASES!! 100 points!!!
Igoryamba

Answer:

in order from images displayed, x = 20, x = 6, x = 5.5

Step-by-step explanation:

4x - 8 + 6x - 12 = 180

10x -20 = 180

10x = 200

x = 20

5x - 1 = 29

5x = 30

x = 6

14x - 6 = 12x + 5

2x = 11

x = 5.5

5 0
1 year ago
Read 2 more answers
What is 3/13 of 91 ?
Lunna [17]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>21</em>

▹ Step-by-Step Explanation

3/13 x 91/1

91/13 = 7

3/1 = 3

3 * 7 = 21

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

4 0
2 years ago
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