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IgorLugansk [536]
3 years ago
5

Suppose a Pony Express rider was paid $192 for 12 weeks of work. If he was paid the same amount each week,how much was he paid f

or 3 weeks of work?
Mathematics
1 answer:
Masteriza [31]3 years ago
5 0
$192 divided by 12 is 16 so 16 x 3 is 48. That is your answer $48. Your welcome bud.
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Ruby has a bird feeder which is visited by an average of 13 birds every 2 hours during daylight hours. What is the probability t
zalisa [80]

Answer:

62.93%

Step-by-step explanation:

We have to solve it by a Poisson distribution, where:

p (x = n) = e ^ (- l) * l ^ (x) / x!

Where he would come being the number of birds that there would be in 40 minutes, we know that in 2 hours, that is 120 minutes there are 13, therefore in 40 there would be:

l = 13 * 40/120

l = 4,333

Now, we have p (x> 3) and that is equal to:

p (x> 3) = 1 - p (x <= 3)

So, we calculate the probability from 0 to 3:

 p (x = 0) = 2.72 ^ (- 4.33) * 4.33 ^ (0) / 0! = 0.01313

p (x = 1) = 2.72 ^ (- 4.33) * 4.33 ^ (1) / 1! = 0.0568

p (x = 2) = 2.72 ^ (- 4.33) * 4.33 ^ (2) / 2! = 0.12310

p (x = 3) = 2.72 ^ (- 4.33) * 4.33 ^ (3) / 3! = 0.17767

If we add each one:

0.01313 + 0.0568 + 0.12310 + 0.17767 = 0.3707

replacing:

p (x> 3) = 1 - 0.3707

p (x> 3) = 0.6293

Which means that the probability is 62.93%

5 0
3 years ago
A number added to one third of itself equals 12 . what is the number​
Drupady [299]

Answer:

9

Step-by-step explanation:

x+1/3x=12

(3x+1x)/3=12

4x/3=12

4x=12×3

4x=36

x=36/4

x=9

8 0
2 years ago
Read 2 more answers
on a mathematics test, Mary scored 27 points out of a possible 60 points. what was her percentage mark?
Oksana_A [137]

Answer:

45%

Step-by-step explanation:

\frac{27}{60}  \times 100 = 45\%

4 0
2 years ago
Read 2 more answers
Measure the distance from point A to points B, C, and D. Round to the nearest eighth of an inch. Reduce if possible.
Vlad1618 [11]

Answer:

if its on a coordinate plane the formula would be:

√(2x-1x)²+(2y-1y)²

Step-by-step explanation:

so if the coordinates were

A= (-3,2)

B= (4,2)

C= (4,-1)

D= (-3,-1)

for A to B it would be

√(4 - (-3)² + (2-2)²

√(7)² + (0)²

√(7·7) + (0·0)

√49+0

√49

or

7

I hope the explanation helped

7 0
2 years ago
1. Write the equation of the line parallel to y = 7x – 5 and going through the point (4,31).
densk [106]

Answer:

y=7x+3

Step-by-step explanation:

Hi there!

We are given the equation y=7x-5 and we want to find the equation of the line that is parallel to it, and contains the point (4,31)

First, let's find the slope of y=7x-5, since parallel lines have the same slopes

The line y=7x-5 is written slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since 7 is in the place of where m is, the slope of the line is 7

It's also the slope of the line parallel to it.

We can substitute 7 as m into the formula y=mx+b for our new line:

y=7x+b

Now we need to find b

Since the equation will pass through the point (4, 31), we can use it to solve for b; substitute 31 as y and 4 as x

31=7(4)+b

Multiply

31=28+b

Subtract 28 from both sides

3=b

Substitute 3 as b

y=7x+3

Hope this helps!

6 0
2 years ago
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