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3 years ago

What is the slope of the line described by the equation below?

1 answer:

4 0

Y = -6x + 3
In y = mx + b form, the slope will be in ur m position...

y = mx + b
y = -6x + 3

so ur slope (the number in the m position) is -6

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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.

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

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

I need help with this problem. <br>

Zina [86]

Answer:

(1,4)

Step-by-step explanation:

Let's this of $y=\sqrt{x}$ which is it's parent function.

How do we get to $y=-\sqrt{x-1}+4$ from there?

It has been reflected about the a-axis because of the - in front of the square root.

It has been shifted right 1 unit because of the -(1) in the square root.

It has been moved up 4 units because of the +4 outside the square root.

In general:

$y=a(x-h)^2+k$ has the following transformations from the parent:

Moved right h units if h is positive.

Moved left h units if h is negative.

Moved up k units if k is positive.

Moved down k units if k is negative.

If $a$ is positive, it has not been reflected.

If $a$ is negative, it has been reflected about the x-axis.

$a$ also tells us about the stretching factor.

The parent function has a starting point at (0,0). Where does this point move on the new graph?

It new graphed was the parent function but reflected over x-axis and shifted right 1 unit and moved up 4 units.

So the new starting point is (0+1,0+4)=(1,4).

6 0

3 years ago

Read 2 more answers

In right triangle XYZ, XY = 21 and<br> XZ = 35. Find YZ.<br><br> What is the answer

mart [117]

Answer:

Step-by-step explanatio

7 0

3 years ago

2. Water is leaking from a faucet at a constant rate of gallon per minute.

Alex Ar [27]

64 gallons per minute

7 0

3 years ago

Please help, will mark you as brainleist!!!

svet-max [94.6K]

Answer:

(1.) 50 (2). 112.5

Step-by-step explanation:

multiply the both sides and then divide ( for each one)

8 0

3 years ago