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hjlf
4 years ago
5

Three students are preparing information packets about an upcoming fundraiser event.

Mathematics
1 answer:
gizmo_the_mogwai [7]4 years ago
3 0
Rate=amountdone/time

convert everybody to minutes
1 hour=60 minutes
45 mins=45 mins
1.5 hour=1.5 times 60=90mins
1hour and 10mins=60+10=70mins

laurenrate= 270packets/45mins=6ppm (packets per minute)
hannahrate=450packets/90mins=5ppm
jakobrate=280packets/70mins4ppm


whoever worked the fastest, has the highest ppm

lauren is winner


answer is A. lauren
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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
Maymona book club is ordering new novels, She knows that the total cost of 6 books is $90, and 10 books cost $150. Write an equa
aleksandr82 [10.1K]

Answer:

Y=15x

Step-by-step explanation:

<h2>Okay so let's approach this problem!</h2><h2 />

X is books and Y is total cost

Let's find the slope!

Y2-Y1/ X2-X1

Just replace

\frac{150 - 90}{10 - 6}

\frac{60}{4}  = 15

The slope is 15

y = 15x + b

Now replace x and y with coordinates and solve

150 = 15(10) + b \\ 150 = 150 + b \\  - 150 \\ 0 = b

The final equation:

y = 15x

That's it! If you have any questions please ask! Brainliest Appreciated.

6 0
2 years ago
Find the area of quadrilateral ABCD
LenaWriter [7]

Answer:

it can be solved using the formula hope it will hep you

3 0
3 years ago
The sum of the measures of angle Y and angle Z is 180 degrees. Angle Y measures (3x + 20) degrees and Angle Z measures x degrees
Minchanka [31]
A)
The question tells us that
y + z = 180
And
y=3x+20
z=x

So we put them in the first formula:

y + z = 180
(3x + 20) + x = 180

Add and get x to one side:
4x + 20 = 180
4x + 20 - 20 = 180-20
4x = 160
Divide both sides by 4
x = 40

B)
Put x back in to equation to get size of each angle:

Y =3x +20
Y=3(40)+20
Y=120+20
Y=140

Z=x
Z=40

Verify: y+z=180
140+40=180
180=180
8 0
3 years ago
What is the length of side x?
nikklg [1K]

Answer:

11 because as you see 3 and 6 if you divide it the scale factor is 1/2 so you just do 5.5 times 2 and get 11

Step-by-step explanation:

6 0
3 years ago
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