n a certain wilderness area 1.4 mountain lions are seen each year, on average. what is the probability that in a given year exactly two mountain lions will be seen in this wilderness area? (assume that sightings are independent from each other and that the probability of seeing a mountain lion stays constant.)

Answers

Answer 1

Therefore  ,the probability that in a given year exactly two mountain lions will be seen in this wilderness area is P =0.2417.

How does probability work?

Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. When an event has a probability of 0, it has no possibility of happening, whereas when it has a probability of 1, it is almost certain to happen. When an event has a probability of 0.45 (45%), there are 45 out of 100 chances that it will occur.

Here,

λ=1.2

=> P(X =x) = [tex]\frac{e^{-\lambda} * \lambda^{x} }{x!}[/tex]

=> P(X=2) = [tex]\frac{e^{-1.4} * 1.4^{2} }{2!}[/tex]

=> P(X=2) = 0.2466 * 1.96 /2

=>P(X=2) = 0.2417

Therefore  ,the probability that in a given year exactly two mountain lions will be seen in this wilderness area is P =0.2417.

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Related Questions

What is 2x + 10 = 2y + 5?

Answers

Answer:

x=y+-5/2

Step-by-step explanation:

Let's solve for x.

2x+10=2y+5

Step 1: Add -10 to both sides.

2x+10+−10=2y+5+−10

2x=2y−5

Step 2: Divide both sides by 2.

2x

2

=

2y−5

2

x=y+

−5

2

x + y = 8
2x2 – y = –5

Answers

Answer:

x=-2,y=10

Step-by-step explanation:

y=8-x.............equation 1

4-y=-5..........equation 2

Now,

putting the value of y in equation 2,

4-(8-x)=-5

4-8+x=-5

-3+x=-5

x=-5+3

x=-2

Then,

putting the value of x in equation 1

y=8+2

y=10

Which inequalities have 4 as a solution? 1. X-85.2 <_ 14.6 4. 8x <_ 128 2. X/6> -23 5. X+4.7>21.6 3. X-43<37 Put the numbers together to form the code.

Answers

Given:

The inequalities are:

1. [tex]x-85.2\leq 14.6[/tex]

2. [tex]\dfrac{x}{6}>-23[/tex]

3. [tex]x-43<37[/tex]

4. [tex]8x\leq 128[/tex]

5. [tex]x+4.7>21.6[/tex]

To find:

The inequalities that have 4 as a solution.

Solution:

We need to put [tex]x=4[/tex] in each inequality, to check whether it is a solution or not.

1. The inequality is

[tex]x-85.2\leq 14.6[/tex]

Putting [tex]x=4[/tex], we get

[tex]4-85.2\leq 14.6[/tex]

[tex]-81.2\leq 14.6[/tex]

This statement is true. So, the inequality [tex]x-85.2\leq 14.6[/tex] has 4 as a solution.

2. The inequality is

[tex]\dfrac{x}{6}>-23[/tex]

Putting [tex]x=4[/tex], we get

[tex]\dfrac{4}{6}>-23[/tex]

[tex]0.67\leq -23[/tex]

This statement is true. So, the inequality [tex]\dfrac{x}{6}>-23[/tex] has 4 as a solution.

3. The inequality is

[tex]x-43<37[/tex]

Putting [tex]x=4[/tex], we get

[tex]4-43<37[/tex]

[tex]-39<37[/tex]

This statement is true. So, the inequality [tex]x-43<37[/tex] has 4 as a solution.

4. The inequality is

[tex]8x\leq 128[/tex]

Putting [tex]x=4[/tex], we get

[tex]8(4)\leq 128[/tex]

[tex]32\leq 128[/tex]

This statement is true. So, the inequality [tex]8x\leq 128[/tex] has 4 as a solution.

5. The inequality is

[tex]x+4.7>21.6[/tex]

Putting [tex]x=4[/tex], we get

[tex]4+4.7>21.6[/tex]

[tex]8.7>21.6[/tex]

This statement is false. So,4 is not a solution of the inequality [tex]x+4.7>21.6[/tex].

A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and 6 steaks. What is the experimental probability of pizza or steak?P(pizza or steak)

Answers

Answer:

To find the experimental probability you have to find the number of times the event occurred and the number of times the activity is preformed then divide the two numbers

Step-by-step explanation:

I’m not quite sure on the answer I believe it’s 1.3

have a great day!

brainliestif correct I need 4 more to rank up thanks!

Please help me I can’t figure it out NO LINKS
LINKS=REPORT

Answers

Answer:

x = 3

y = 8

Step-by-step explanation:

ok we will substitute

y = x + 5

into the second equation

4x + y = 20

4x + (x + 5) = 20

5x + 5 = 20

5x = 15

x = 3

y = x + 5 = 3 + 5 = 8

Answer:

4(3)+y=20

Step-by-step explanation:

4*3=12

Y= 3+5

3+5=8

12+8=20

What would be different if you started your day with a feeling of being in control?

Answers

it would make me feel like i’m somebody and i have power(for good use)

Answer:

I would feel like I have a lot of power and I would use that to try to help people.

8 mm: 24 cm in its simplest form is

Answers

Answer:

1mm:3cm

Step-by-step explanation:

8mm:24cm

----------------     = 2mm:6cm

       4

2mm:6cm  divided by 2 equals 1mm: 3cm

The required simplest form of 8mm; 24cm is 1mm; 3cm.

We have to determine, the simplest form of 8 mm: 24 cm.

To obtain the simplest form of the equation calculation must be done in a single unit following all the steps given below.

The ratio is just a way to compare two quantities while the proportion is an equation that shows that two ratios are equivalent.

Here, 8 mm: 24 cm.

Therefore,

[tex]8mm \ ; 24cm[/tex]

Divided by 8 both sides,

[tex]= \dfrac{8mm}{24cm}\\\\= \dfrac{1mm}{3cm}[/tex]

Hence, The required simplest form of 8mm; 24cm is 1mm; 3cm.

To know more about the Time period click the link given below.

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let f(x) = x-4 and g(x) = (x-4)^3
find the sum of the area enclosed by the graphs
Of F and g between x=3 and x=5

Answers

X=3 x 4 = 57 is the answer

Find the area, use 3.14 for pi

Answers

Answer:

113.04

Step-by-step explanation:

The formula for the area of a circle is A=(pie)r²

So the equation is 3.14 x 6² = 113.04

i cant solve this help –8x + 15 < 71

Answers

Answer:

x > -7

Step-by-step explanation:

Isolate the variable, x. Treat the < sign like an equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

First, subtract 15 from both sides:

-8x + 15 (-15) < 71 (-15)

-8x < 71 - 15

-8x < 56

Next, divide -8 from both sides of the equation. Note that when you divide by a negative number, you must flip the sign:

(-8x)/-8 < (56)/-8

x < (56)/-8

x > -7

x > -7 is your answer.

~

Answer:

Any number greater than but excluding -7.

Step-by-step explanation:

-8x + 15 < 71

-8x < 71 - 15

-8x < 56

56 divided by -8 = -7

So, that means anything greater than -7 would result in a lower number than 71.

9. Find the relative frequency of students with July birthdays given the following table:
Birth Month. Number of Students

August. 2
September. 1
October. 2
November. 5
December. 3
January. 1
February. 2
March. 2
April. 1
May. 0
june. 4
July. 2 ​

Answers

Answer:

2,5,3,2,1,0,4,this is the number of students

Help me with number two please

Answers

Number two is a type of question of what’s your opinion, but if you really want an answer from someone on the internet, take this:
I would expect the results to not be the same because not everyone has the same type of movie preference.

Rhianna took a total of 10 pages of notes during 2 hours of class. In all, how many hours will Rhianna have to spend in class before she will have a total of 15 pages of notes in her notebook? Assume the relationship is directly proportional.

Answers

Answer:

Step-by-step explanation:

if 10 pgs = 120 mins

then 15 pgs = 15 × 120÷10

                 =1800÷10

                = 180 mins

if 60 min = 1 hr

then 180 min = 180×1÷60

                      = 3 hrs

thus it will take her 3hours

10 pages 2 hrs
15 pages x hrs
x=15•2/10
x=3 hrs

which value in the set (2,3,48,96) is a solution of the equation 24+x=72

Answers

Answer:

48

Step-by-step explanation:

24+x=72

Isolate x

24+x=72

-24    -24

x=48

Solve.
Pls Need Help

Answers

Answer:

3/8

Step-by-step explanation:

Since the greatest is 3 1/2 and the least it 3 1/8

3 1/2 - 3 1/8 = 3/8

Hope with a question

Answers

Answer:

(3,7)

Step-by-step explanation:

Ryan says that a rectangle is a square because it has 4 right angles. Addy says that a rhombus is a square because it has 4 equal sides. Part A Who is correct? A. Only Addy B. Only Ryan C. Both Ryan and Addy D. Neither Ryan nor Addy Part B How are rectangles and squares related? Use the drop-down menus to complete the explanation. All Choose... are Choose... , but only Choose... with 4 equal sides are Choose...

Answers

Answer:

D. Neither Ryan nor Addy

Step-by-step explanation:

Square:

A square is a quadrilateral that has equal sides and all angles equal to 90 degrees.

Rectangle:

A rectangles is a quadrilateral that has equal or unequal  sides and all angles equal to 90 degrees. All rectangles are not squares.

Rhombus:

A rhombus is a quadrilateral that has equal sides and all angles may or may not be  equal to 90 degrees. All squares are rhombus. But all rhombus are not squares.

As both Ryan and Addy have missed out one property of square therefore both of them are incorrect.

A rectangle and a triangle have the same area.
The dimensions of the rectangle are 3 cm and 10 cm. The base of the triangle is 6 cm.
What is the height of the triangle? How do you know?

Answers

Answer:

Height of the triangle = 10 cm

Step-by-step explanation:

Given:

Dimensions of rectangle = 3 cm , 10 cm

Base of triangle = 6 cm

Find:

Height of the triangle

Computation:

Given that area of rectangle is equal to area of triangle

So,

(l x b) = (1/2)(b)(h)

(3 x 10) = (1/2)(6)(h)

30 = 3(h)

h = 10

Height of the triangle = 10 cm

Can I get some help pls and no links pls i'm getting tired of getting links

Answers

53.2

40%=.4
.4 times 38 = 15.2
15.2+38=53.2

Thank me later

PLS HELP I AM TIMED I WILL MARK BRAINLIEST///A rectangular prism has dimensions 2 feet by 3 feet by h feet.
Which of the following expressions represents the surface area, in square feet, of the
prism?
a. 5h + 6
b. 5h + 12
c. 10h + 6
d. 10h + 12

Answers

Answer:

5h+6

Step-by-step explanation:

I was litterly just doing this trust me im right lol

Answer:

D. 10h+12

Step-by-step explanation:

You have to multiply to find the area of each rectangle. There are 3 pairs of rectangles that are identical to one another.

2*h = 2h * 2 = 4h

3*h = 3h *2 = 6h

2*3 = 6 *2 = 12

10h+12

plz someone tell me what 7x2 is

Answers

Answer:

14

Step-by-step explanation:

In addition to tuition, what other costs should you plan for when considering what college to attend?

Answers

Answer:

the college application, housing expenses if you're on campus, food and groceries, extra money if you need textbooks, there's so much more too

which is a proper number ?

A. 2/3
B. 3/2
C. 1 2/3
D. 3/3

Answers

Answer:

try a if not d

Step-by-step explanation:

Can someone please help with this?

Answers

Answer:

Distance over Speed (Option 2)

Step-by-step explanation:

Clculating how long it takes to travel from one place to another requires the formula T= d/s

A poster is 3 feet long and 30 inches wide. What is the area, in feet, of the painting?

Answers

Answer:

90 feet

Step-by-step explanation:

30x3=90

Answer:

7.5 feet

Step-by-step explanation:

Convert inches to feet

30 inches as feet would be 2.5 feet

Multiply

3×2.5=7.5

What are the solutions to 4x^{2}-3x-2=0

Answers

Answer:

x = 1.175

x = -0.425

Step-by-step explanation:

Use quadratic formula (see picture)

a = 4

b = -3

c = -2

x = 1.175

x = -0.425

OR x = [tex]\frac{3 +/- \sqrt{41} }{8}[/tex]

-----------------------------

using factoring

4x^2-3x-2=0

The answer is 4x^2+3

i need help please!
what fraction divided by 3 over 4 equals 1 over 6

Answers

Answer:

1/8

Step-by-step explanation:

1/8 ÷ 3/4

1/8 × 4/3

1/2 × 1/3 = 1/6

please give a detailed explanation, im genuinely trying in this class​

Answers

Answer:

C) [tex]\frac{\sqrt{6} }{14}[/tex]

Step-by-step explanation:

We multiply the conjugate (7 √2) with the denominator and numerator:

[tex]\frac{\sqrt{3} }{7\sqrt{2} } *\frac{-7\sqrt{2}}{-7\sqrt{2}} \\\\\frac{\sqrt{6} }{14}[/tex]

I also just used my calculator and it gave me this

Can someone help me with this please

Answers

Answer:

-19, -8, 0, 1/2, 1/4

12, 1 1/2, 5, -12, -19

Step-by-step explanation:

Answer:

1) So sorry but I dont know this one.

2) -19, -8, 0, 1/4, 1/2

3) 12, 5, 3/2, -12, -19

Step-by-step explanation:

3+p=8 what the answer??

Answers

Answer: 5

Step-by-step explanation:

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