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iragen [17]
3 years ago
13

Please please help :(

Mathematics
1 answer:
Vinvika [58]3 years ago
6 0
-6 7/8 /(-3 3/4)
55/8X4/15
11/6
1 5/6
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In 1898, L. J. Bortkiewicz published a book called The Law of Small Numbers, where using data he collected for twenty years, he
julia-pushkina [17]

Answer:

given : 0.61 per year

formula poisson probability : p(x=k)=xke-x/k!

(a) The parameter λ is the product of the rate per year and the number of years. The number of years is 1 year in this case.

λ=0.61×1=0.61

Evaluate the formula of the Poisson probability at k=0,1:

P(X=0)= 0!

(0.61)

0

e

−0.61

​

≈0.5434

P(X=1)=

1!

(0.61)

1

e

−0.61

​

≈0.3314

Add the corresponding probabilities:

P(X≤1)=P(X=0)+P(X=1)=0.5434+0.3114=0.8748

Use the complement rule:

P(X>1)=1−P(X≤1)=1−0.8748=0.1252

Note: The solution in the back of the book is the probability of at least one death instead of more than 1 death, thus the solution in the back of the book is not correct.

Step-by-step explanation:

this is prob wrong so im sorry in advance!

6 0
2 years ago
Annie has 377 papers to deliver on her paper route. By 8 a.m. she had only delivered 189 of them.
Rasek [7]

Answer:

B: 200

Step-by-step explanation:

377-(100+189)=88

(200+189)-377=12

(300+189)-377=112

(400+189)-377=212

3 0
3 years ago
Are the equations m+3=-5 and m-4=-12$ equivalent?
Eddi Din [679]

Answer:

Yes They Are Equivalent

Step-by-step explanation:

I checked by multiplying them.

8 0
3 years ago
Read 2 more answers
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each.
Minchanka [31]

Answer:

a. i) Please see the  included graph of the equation $10·x + $12·y = $300

ii) The intercepts give the maximum number of either short-sleeve (x-intercept) long-sleeved (y-intercept) that can be ordered

Step-by-step explanation:

The given information are;

The cost of each short-sleeved shirt = $10

The cost of each long-sleeved shirt = $12

The amount available in the budget = $300

The equation for the total cost = $10·x + $12·y = $300

Where;

x = The number of short-sleeved shirts

y = The number of long-sleeved shirts

Rewriting the equation given in slope and intercept form, we have;

$10·x + $12·y = $300

$12·y = $300 - $10·x

y = $300/$12 - $10·x/$12

y = 25 - 5/6·x

Please find attached, the graph of the equation made with Microsoft Excel

The values of the data that can calculated to plot the graph are;

x, y

(0, 25 )

(5, 20.83 )

(10, 16.67)

(15, 12.5 )

(20, 8.33)

(25, 4.17)

(30, 0 )

The x-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget, while the y-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget.

8 0
3 years ago
Describe the region enclosed by the circle x^2 +y^2 = 11x in polar coordinates.
vivado [14]

Answer:

the region of the circle in polar coordinate can be expressed as:

\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}

Step-by-step explanation:

Given that:

x^2 +y^2 = 11x

This implies that :

(x-5.5)^2 + y^2 = 5.5^2

center (5.5, 0) and radius = 5.5

The relation between the cartesian coordinates (x,y) and the polar coordinates (r, θ) is as follows:

x = rcosθ

y = rsinθ

Thus, x^2 + y^2 = r^2

x^2 + y^2 = 11x

(rcos \theta)^2 + (r sin \theta)^2 = 11(rcos \theta)

r^2 = 11r cos \theta

Thus, the angle θ runs between - \dfrac{\pi}{2} to \dfrac{\pi}{2}

Therefore, the region of the circle in polar coordinate can be expressed as:

\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}

7 0
3 years ago
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