In the somewhat less than towering ski slopes of northeastern Iowa new skiers come to learn to ski. On Big Bunny Slope skiers will fail to make the turn at Big Bend. On Little Bunny Slope, skiers will sometimes tumble at Little Hill. The ski instructors send the new skiers down the two slopes in groups of 30, wait a few moments, and then send the Ski Patrol Ambulance down after them, stopping at Big Bend and then Little Hill. The skiers descend the slopes far enough apart that they don't run into each other, so their spills are all independent.

Required:
a. The probability that a random new skier in the group will need to be carried to the First Aid Station after a spill at Big Bend is 0.35. If we define the random variable B = number of new skiers needing to be driven to the First Aid Station from Big
Bend, we can model this situation as a binomial chance experiment. What is the mean and standard deviation of B?
b. The probability that a random new skier in the group will need to be carried to the First Aid Station after a spill at Little Hill is 0.15. If we define the random variable L = number of new skiers needing to be driven to the First Aid Station from Little Hill, what is the mean and standard deviation of L?

Answers

Answer 1

Answer:

A. Mean = 10.5, standard deviation = 2.61247

B. Mean = 4.5, stand deviation = 1.955761

Step-by-step explanation:

Number in a group = 30

So n= 30

A.

It follows the binomial distribution

n = 30, probability p = 0.35

The mean = n*p

= 30x0.35

= 10.5

The standard deviation = √np(1-p)

= √10.5(1-0.35)

= √10.5(0.65)

= √6.825

= 2.61247

B. Probability of a new skier carried = 0.15

n = 30

Mean = n*p

= 30x0.15

= 4.5

The standard deviation = √np(1-p)

= √4.5(1-0.15)

= √4.5(0.85)

= √3.825

= 1.955761


Related Questions

Which set of numbers is arranged in decreasing order?
A. 6.82. 26v375
B. 27.55.6.82, 137
C. 6.82.27.55.37
D. 27. 6.82, 137.55

Answers

Answer:

6.82.26v375 is the descreasing order

Answer:

it is c, 6.82 2pi 55/9 sq37

Step-by-step explanation:

11 - m = 51 - 6m solve for m

Answers

This should be the answer if not let me know

                               2/2m=8 2/2

Answer: m = 8.

Step-by-step explanation: Proof:

Which expression is equivalent to -32^3/5?

Answers

Answer:

the first one

Step-by-step explanation:

9 Darby graphed the equation y = 4x + 6 on a
graph. Samuel graphed the line defined by the
table.
x02
y 6 14
-35
-6 26
Which of the statements correctly compares the
two functions?
A. Both functions have the same y-intercept but
different slopes; therefore, Darby and Samuel
have graphed the same line.
B. Both functions have the same slope but different
y-intercepts; therefore, Darby and Samuel have
graphed parallel lines.
C. Both functions have the same y-intercept and
the same slope; therefore, Darby and Samuel
have graphed the same line.
D. Both functions have the same slope and the
same y-intercepts; therefore, Darby and Samuel
have graphed parallel lines.

Answers

Answer:

C

Step-by-step explanation:

Darby's equation in slope-intercept form: y = 4x + 6

Where,

Slope (m) = 4

y-intercept (b) = 6

Let's find the slope (m) and y-intercept (b) of the line Samuel graphed using the values of the given table.

Slope (m) using (0, 6) and (2, 14)

Slope (m) = ∆y/∆x = (14 - 6)/(2 - 0) = 8/2

Slope (m) = 4

y-intercept (b) = 6, because at x = 0, y = 6. This is where the line intercepts the y-axis.

Now, we can see that both functions has the same slope (m) = 4, and the same y-intercept (b) = 6

Both will have the same line.

2x+3y=12
if y=8
what is x

Answers

Answer:

-6

Step-by-step explanation:

2x + 3(8) = 12

2x + 24 = 12

2x = 12 - 24

2x = -12

x = -12/2

x = -6

X=-6

2x+3y=12
2x+3(8)=12
2x+24=12
-24 -24
2x=-12
\2 \2
x=-6

!!! PLEASE HELP FAST !!

please help me with one a two :)

Answers

Answer:

Question 1

Function given:

y = x² + 4x - 4

In the vertex form:

y = x² + 4x + 4 - 8 = (x + 2)² - 8

Axis of symmetry is the vertical line passing through the vertex.

The vertex is

(-2,-8)

Axis of symmetry is

x = -2

y- intercept is

x = 0 ⇒ y = -4, so the point (0, -4)

Two other points are

x = 1 ⇒ y = (1 + 2)² - 8 = 9 - 8 = 1, the point is (1, 1)x = -1 ⇒ y = (-1 + 2)² - 8 = 1 - 8 = -7, the point is (-1, -7)

See the graph with all the points plotted

Question 2

Function given:

y + 2x² - 4x - 6 = 0

In standard form:

y = -2x² + 4x + 6

In vertex form:

y = - 2x² + 4x - 2 + 8 = -2(x - 1)² + 8

The vertex:

(1, 8)

Axis of symmetry is

x = 1

y - intercept

x = 0 ⇒ y = -2(-1)² + 8 = -2 + 8 = 6, the point is (0, 6)

Two other pints:

x = -1 ⇒ y = -2(-1 - 1)² + 8 = -8 + 8 = 0, the point is (-1, 0)x = 2 ⇒ y = -2(2 - 1)² + 8 = -2 + 8 = 6, the point is (2, 6)

The graph is attached with the points plotted.

How many quarts will you get if you mix 5 gallons 5 quarts and 6 pints

Answers

Answer:

28

Step-by-step explanation:

There are 4 quarts in a gallon, and since we have 5 gallons that gives us 20 quarts. Then we add the 5 quarts to give us 25 quarts. Finally, there are 2 pints in quart, so that gives us 3 quarts. Add those last three quarts and we get 28 quarts in all.

Total quarts when you mix 5 gallons 5 quarts and 6 pints is, 28 quarts

We have to given that,

To find total quarts if you mix 5 gallons 5 quarts and 6 pints.

Since, 1 gallon = 4 quarts

Hence, 5 gallons = 5 x 4 = 20 quarts

And, 1 pints = 1/2 gallons

Hence, 6 pints = 6/2 gallons

                       = 3 gallons

So, Total quarts when you mix 5 gallons 5 quarts and 6 pints is,

20 + 5 + 3

28 quarts

Therefore, Total quarts when you mix 5 gallons 5 quarts and 6 pints is,

28 quarts.

Learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ6

Maria has 6 pizza slices and wants to split them among her and 8 other friends. If each person gets the same amount, how much of the pizza slice will each person get?

Answers

Answer:

1 if u cut  all of them in half

Step-by-step explanation:

1 if you cut them in half ok

What is the answer to 3x(2 1/5)=

Answers

Answer:

(6 3/5) * (x)

Step-by-step explanation:

3x(2 1/5)= (6 3/5) * (x)

Answer:

6 3/5

Step-by-step explanation:

HELP ASAP PLEASE I CANT FAIL THIS OR ELSE I GOTTA DO A WHOLE LESSON :( IM ALREADY SO BEHIND!!!!

Answers

Answer:

the last one on the bottom  

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

if A and B are two events, the probability of occurrence of either A or B is given as :
a) p(A) + p(B)
b) P(AuB)
c) P (AnB)
d) P(A).P(B)​

Answers

Answer:

p(A) + p(B)

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome. The probability of an event happening or another is the sum of the individual probabilities.

As such, if A and B are two events, the probability of occurrence of either A or B is given as

= p(A) + p(B)

where p(A) and p(B) are the probabilities of A happening and B happening respectively.

What is the height of a right triangle if its other two sides are 30 centimeters and 10 centimeters long?​

Answers

Answer:

Step-by-step explanation:

It depends on whether the 30 cm side is the hypotenuse, or one of the legs.

If the 30 cm side is the hypotenuse, then the third side is √(30^2-10^2) = √800 = 20√2 cm

If the 30 cm side is one of the legs, then the hypotenuse is √(30^2+10^2) = √1,000 = 10√10 cm

Lowest common multiple of 16 and 32?

Answers

Answer:

4

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

What is the great common factor between 68 and 54?​

Answers

Answer:

2

Step-by-step explanation:

Find the value of x.

Answers

Answer:

64

Step-by-step explanation:

Answer:

The answer is 61˙

Step-by-step explanation:

The total trapezoid is supposed to equal to 360

100 + 130 + 66 + x

230 + 66 + x

299 + x

360 - 299 = 61

I will mark you as brainliest if you get the question right

Answers

Answer:

103

Step-by-step explanation:

x = 180-77 = 103

because it's a straight line, so 180 - 77 to find x

Help me on question 3 pls I’ll Karl you as brainliest

Answers

I believe the answer is C

4x-y=10
y=2
Pls show work will give Brainlyest

Answers

Answer:

give y is equal to 2

substituting the value of y, we get

4x -y = 10

4x=10 +2

4x=12

x=12÷4

therefore x =3

Plz help me :) dropdowns
1) vailid/ not valid
2) unbiased/biased
3)appropriate/ inappropriate

Answers

Answer:

1

Step-by-step explanation:

what is the purpose of the dx in the integral ∫2x dx?

Answers

Answer:

[tex]dx[/tex] denotes an infinitesimal displacement along [tex]x[/tex]

Step-by-step explanation:

The integration refers to the antiderivative of a function. The inverse process of differentiation is the integration.

The integration is used to find the volume and area under the curve.

In ∫ [tex]2x\,\,dx[/tex]

∫ denotes the sign of integral,

[tex]dx[/tex] denotes an infinitesimal displacement along [tex]x[/tex],

[tex]2x[/tex] is the part to be integrated.

104º
(9y - 5)º
(12x + 2019
Solve for x

Answers

12x+20=104 (vertically opposite angles)

-20 on each side

12x=84

÷12 on each side

x=7

hope that helps^^

Answer:

x = 7.

Step-by-step explanation:

12x + 20 = 104    (Vertical angles are congruent).

12x = 84

x = 7.

8. The Johnsons are having a family reunion and they want to order T-shirts. 36 people will be
attending the reunion. There will be twice as many children as adults at the reunion. Set up a
system of equations that represents the numbers of adults and children that are attending the
reunion and solve the system to figure out how many adult and child T-shirts they need to buy.
(hint: let a=the number of adults, and c=the number of children)

Answers

Answer:

116

Step-by-step explanation:

8

=36

Guys please help! It would mean a lot if you guys tell me how did u get the answer as well.

Answers

Answer:

[tex]24a^{9}b^{4}[/tex] , so I believe the first option!

Step-by-step explanation:

6 x a to the 7th x b to the 3rd x 4 x a to the second x b =

6 x 4 x a to the (7 + 2) power x b to the (3+1) power =

[tex]24a^{9}b^{4}[/tex]

Hope that helps!

Answer:

24a^9b^4

Step-by-step explanation:

When finding the area of a rectangle, you need to multiply the length by the width:

(6a^7b^3)(4a^2b)

6 times 4 is 24.

When we multiply exponential numbers, we add their exponents:

(a^7)(a^2)=a^9

and

(b^3)(b^1)=b^4

So our completed answer is:

24a^9b^4

HTH :)

From a point 80 m from the base of a tower, the angle of elevation to the top of the tower is 28°. How tall is
the tower (remember: 3 decimal places)?
The height of the tower is [A] m.

Answers

Answer:

42.537 m

Step-by-step explanation:

Let x = height of tower

tan 28 = x/80

x = 80 tan 28

x = 42.537 m

What is the value of 21/8 divided by 3/4.

Answers

7/2 or 3 1/2 or 3.5. they are all the same answers just in different forms

Kalansız bir bölme işleminde bölünen ile bölenin farkı 385 bölüm 12 olduğuna göre bölünen kaçtır

Answers

Step-by-step explanation:

bence 32 Kalansız bölme işleminde ama yinede sen bilirsin iyi akşamlar

find the measure of the angel x​

Answers

Answer:

80°+30°=180°

=110=180

x=70°

answer

Answer:

80 - 30 = 50

Step-by-step explanation:

bcz sum of two interior angle is equal to one exterior angle

Question 5
A carpet remnant is shaped like a triangle. It has a height of 32 inches and a base of 8 inches. Find the area.
128 square inches
256 square inches
320 square inches
64 square inches

Answers

i have to go see my dog in the hospital today

Question 1
The quotient of 100 and n is equal to 20.
Write an equation to describe this situation.
Equation:

Answers

Are you sure one -662


Helpppppppp meeeeeeeee

Answers

Answer:

[tex]V = 97.911in^3[/tex]

Step-by-step explanation:

Given

Shapes: Cube and Cone

Required

Determine the volume

First we calculate the volume of the cube

[tex]V_1 = l^3[/tex]

Where

l = side length = 5.1

[tex]V_1 = 5.1^3[/tex]

[tex]V_1 = 132.651[/tex]

Next, calculate the volume of the cone using:

[tex]V_2 = \frac{\pi r^2h}{3}[/tex]

Where

h = 5.1

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]r = \frac{1}{2} * 5.1[/tex]

[tex]r = 2.55[/tex]

So, we have:

[tex]V_2 = \frac{\pi r^2h}{3}[/tex]

[tex]V_2 = \frac{\pi * 2.55^2 * 5.1}{3}[/tex]

[tex]V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}[/tex]

[tex]V_2 = \frac{729.5805}{21}[/tex]

[tex]V_2 = 34.74[/tex]

The volume of the figure is:

[tex]V=V_1 - V_2[/tex]

[tex]V_1 = 132.651[/tex]

[tex]V = 132.651 - 34.74[/tex]

[tex]V = 97.911in^3[/tex]

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