Because of bad weather, the number of days next week that the captain of a charter fishing boat can leave port is uncertain. The following probability distribution for the number of days that the boat is able to leave port per week was determined based on historical data when the weather was poor: The number of days the boat can leave port per week Probability 0 0.20 1 0.05 2 0.05 3 0.05 4 0.15 5 0.10 6 0.15 7 0.25 Based on the probability distribution, what is the expected number of days per week the captain can leave port. Group of answer choices 3.55 4.00 3.50 4.05 2.85

Answers

Answer 1

Answer:

The expected number of days per week the captain can leave port is 4.05.

Step-by-step explanation:

We are given the following distribution:

[tex]P(X = 0) = 0.2[/tex]

[tex]P(X = 1) = 0.05[/tex]

[tex]P(X = 2) = 0.05[/tex]

[tex]P(X = 3) = 0.05[/tex]

[tex]P(X = 4) = 0.15[/tex]

[tex]P(X = 5) = 0.1[/tex]

[tex]P(X = 6) = 0.15[/tex]

[tex]P(X = 7) = 0.25[/tex]

What is the expected number of days per week the captain can leave port.

We multiply each outcome by its probability. So

[tex]E = 0*0.2 + 1*0.05 + 2*0.05 + 3*0.05 + 4*0.15 + 5*0.1 + 6*0.15 + 7*0.25 = 4.05[/tex]

The expected number of days per week the captain can leave port is 4.05.


Related Questions

The temperature changes from 9°F to -5°F. Which of the following expressions model the distance on thermometer between 9°F and -5°F? Choose all the correct answers

A I -5 -9 I

B I 9 -5 I

C I 9- (-5) I

D I -5 (-9) I

E I -9 - (-5) I

Answers

Answer:

[tex]d = |- 5- 9|[/tex]

Step-by-step explanation:

Given

[tex]Initial = 9^\circ F[/tex]

[tex]Final = -5^\circ F[/tex]

Required

Determine the difference

Represent this with d.

d is calculated using

[tex]d = |Final - Initial|[/tex]

The equation becomes

[tex]d = |- 5- 9|[/tex]

2) The difference of two numbers is 13. Their sum is 85. Find the numbers.
What’s the answer

Answers

Answer:

49 and 36

Step-by-step explanation:

49 - 36 = 13

49 + 36 = 85

Answer:solving we get y=6  x+y=85

x-y=13

add the equations

2x=98

x=98/2

x=49

85-49=36

the numbers are 49 and 36

Hope this helps have a awesome night/day❤️✨

Step-by-step explanation:

what is the shape and direction of f(x)=(x+7)(x+11)

Answers

Given:

The function is

[tex]f(x)=(x+7)(x+11)[/tex]

To find:

The shape and direction of the given function.

Solution:

We have,

[tex]f(x)=(x+7)(x+11)[/tex]

It can be written as

[tex]f(x)=x^2+11x+7x+77[/tex]

[tex]f(x)=x^2+18x+77[/tex]

It is a quadratic function and the power of [tex]x[/tex] is 2 so the graph of this function is a vertical parabola.

The leading coefficient is positive so the parabola opens upward.

Therefore, the given function is a vertical parabola that opens upward.

What is the slope of the line X=-3?

Answers

Answer:

undefined

Step-by-step explanation:

Answer:

The slope is undefined

Step-by-step explanation:

help me please
bddbdbbdbd​

Answers

35 cats (70%) 15 dogs (30%)

50 x 70% = 35

50 - 35 = 15 (remaining 30%)

1. Find the amount of cats.
2. There are 50 dogs and cats, 30% are dogs.
3. multiplication
4. Formula shown above

Hope this helps!

Which figures always have right angles

Answers

Answer:

rectangles, squares, and right triangles

A traveling circus with thrill rides Charge 7$ For admission $1.50 For each ride you take. If you pay $29.50 total, how many rides did you take?

Answers

Answer:

15 rides

Step-by-step explanation:

Subtract $7 from $29.50

and then divide what you got ($22.50) from $1.50

what fraction is 15 minutes of 1 hour​

Answers

Answer:

1/4

Step-by-step explanation:

Convert 1 hour to minutes

1 hour = 60 minutes

Then you can find the fraction

15/60

simplifies to 1/4

15 minutes is 1/4 of 60 minutes/1 hour

What is the least common denominator of 3/5 and 9/10?​

Answers

Answer:

9/10

Step-by-step explanation:

3/5 = 6/10 = 9/10 = 9/10

I'm not 100% sure of this answer someone please correct me if I'm incorrect.

Mick paid $2.94 in sales tax on an item that cost $42.00 before tax. At that percent rate, how much would he pay in sales tax for an item that costs $58.00 before tax?

Answers

Answer:

4.06

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

qsSDASD

write 194.218 in expanded form


Answers

One hundred ninety four and two hundredth eighteenths

can someone help me with this

Answers

90000
Haha boogaloo booga

Help me plzzzzzzzzzz.z.z.z.z.z.z..z.z.z.z

Answers

Answer:

Area of rectangle = 10 in.²

Area of triangle = 0.5 in.²

Square inches of plastic in bookmark = 9.5 in.²

Step-by-step explanation:

✔️Area of rectangle = Length × Width

Length = 5 in.

Width = 2 in.

Area of rectangle = 5 × 2 = 10 in.²

✔️Area of Triangle = ½*bh

b = 1 in.

h = 1 in.²

Area of triangle = ½*1*1

Area of triangle = 0.5 in.²

✔️Square inches of plastic in bookmark = area of rectangle - area of triangle

= 10 - 0.5 = 9.5 in²

PLS HELP I ONLY NEED PART B

Kari and Julie are practicing for basketball tryouts. Kari makes 3 less than twice as many baskets as Julie.
Part A Write an expression with two terms for the number of baskets that Kari makes. Explain how you found your expression.
Part B Write an expression with three terms for the number of baskets that Kari and Julie make in all. Explain how you found your expression.

Answers

Answer:

X= 2y - 3  

Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3

Julie makes y tryouts and twice would be 2y.

Step-by-step explanation: hope this helps!!! :)

Answer:

X= 2y - 3  

Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3

Julie makes y tryouts and twice would be 2y.

Step-by-step explanation:

please help i need help​

Answers

Answer:

(9×3÷4)+y

Step-by-step explanation:

(9×3÷4)+y = y+9 × 3/4

3/4 = 3:4

9× 3/4 = 9×3÷4

there is y+ (9× 3 ÷ 4)

in a grocery store, a $21 case of toilet paper is labeled, “get a 20% discount” what is the discount? what is the sale price of the toilet paper?

Answers

Answer:

$16.8

Step-by-step explanation:

put 20% into decimal form 20/100 = 0.2

0.2 x 21 = $4.2

21-4.2 = $16.8

The Discount will be "$4.2" and the Sale price will be "$16.8".

According to the question,

Labeled case of toilet paper,

$21

Get discount,

20%

or,

0.2

Now,

20% of $21 will be:

= [tex]0.2\times 21[/tex]

= [tex]4.2[/tex] ($) (Discount)

→ The sale price will be:

= [tex]Labeled \ case - Discount[/tex]

By substituting the values, we get

= [tex]21-4.2[/tex]

= [tex]16.8[/tex] ($)

Thus the above approach is right.

Learn more:

https://brainly.com/question/11672774

Given the points (8,9) and (2,7) find the slope I need help

Answers

Answer:

1/3

Step-by-step explanation:

7-9=-2

2-8=-6

2/6 is 1/3 when simplified

A pet store sold 12 siamese cats. If the ratio of siamese cats to house cats sold was 2 : 1, what is the combined amount of cats sold?

Answers

Answer:

32 cats in total

Step-by-step explanation:

so 18 siamese

the ratio was9:7=siameese:house

18=9 units

divide 9

2=1 unit

house=7 units

7 times 2=14

14 house cats

combined=siameese+house=18+14=32

so 18 siamese
the ratio was9:7=siameese:house
18=9 units
divide 9
2=1 unit
house=7 units
7 times 2=14
14 house cats

combined=siameese+house=18+14=32

For the polynomial function, describe the end behavior of its graph.
f(x) = 2x3 + 5x

Answers

falls to the left and rises to the right

Based on information from the periodic table, what does this image represent? HE 4 Protons e 5 Neutrons = 2 Electrons A. A negatively charged beryllium ion
B. A neutral boron atom
C. A neutral beryllium atom
D. A positively charged beryllium ion​

Answers

Answer:

D. A positively charged beryllium ion

This image represents A positively charged beryllium ion.

We have given that,

He 4 Protons e 5 Neutrons = 2 Electrons

A. A negatively charged beryllium ion

B. A neutral boron atom

C. A neutral beryllium atom

D. A positively charged beryllium ion​.

We have to determine, Based on information from the periodic table what does this image represent?

What is the periodic table?

A table of the chemical elements arranged in order of atomic number, usually in rows, so that elements with similar atomic structure (and hence similar chemical properties) appear in vertical columns.

This image represents A positively charged beryllium ion.

To learn more about the periodic table visit:

https://brainly.com/question/15987580

#SPJ2


y
is directly proportional to
x
2
.
If
y
=
12
when
x
=
2
find
y
when
x
=
6

Answers

Answer:

y=54+7

Step-by-step explanation:

difference quotient for f (x) = 2x + 3 /5x

Answers

Answer:

1 and -0.6

Step-by-step explanation:

If I'm building a dog house that is 3ft by 2ft, and I only want to line the floor with tile, and the tiles are 1.5 square feet each, how many do I need?

Answers

Answer:

4

Step-by-step explanation:

PLEASE HELP WITH THE FOLLOWING. WILL GIVE BRAINLIEST. THANK YOU

Answers

Answer:

50.8°

Step-by-step explanation:

First, we need to use the Pythagorean Theorem to find the third side. We will then use the law of cosines to find the angle.

2√15² = 2√6² + b²

60 = 24 + b²

Subtract 24

36 = b²

b = 6

Now, that we have all three sides, we will use the law of cosines to figure out the angle.

c² = a² + b² - 2abCosC°

Substitute the values in.

6² = 2√15² + 2√6² - 2(2√15)(2√6)CosC°

36 = 60 + 24 - 2(37.947331922)CosC°

36 = 60 + 24 - 75.894663844CosC°

36 = 84 - 75.894663844CosC°

Subtract 84

-48 = -75.9CosC°

0.63241106719 = CosC°

Arccos (0.63241106719) = 50.77176844°

The largest acute angle is approximately 50.8°

Which techniques can be used to evaluate the expression 12.75 = 1.5? Select all that apply.

Answers

What is the apply??? Put all of the select all that apply so I can help you

there are only two lines of symmetry in a circle true or false​

Answers

Answer:False

Step-by-step explanation: a circle has infinite lines of symmetry an oval has two

hey guys I need help on maths. ​

Answers

Answer:

x=122°

Step-by-step explanation:

sum of all interior angles in a quadrilateral = 360°

then ,

119+105+78+m = 360

m = 58

....

m+ x = 180 ( linear pair)

58+x = 180

x = 122

PLEASE HELP ILL MARK BRAINLY FOR CORRECT ANSWER

Answers

Answer:

120 minutes

Step-by-step explanation:

12 x 10 = 120

10 x 12 = 120

15 x 8 = 120

You will put the muffins in 10 times and you will put the cookies in 12 times then you will put the scones in 8 times. If you have different numbers, you can first start out with one number and times all of the numbers by that one number. For example I picked 5 to start out with:

12 x 5 = 60 minutes 10 x 5 = 50 minutes 15 x 5 = 75 minutes.

Then I did 12 x 6 = 72 minutes, 10 x 6 = 60 minutes, 15 x 6 = 90 minutes

Since I still don't have the numbers to add up to the same answer, I went to timing them by 7:

12 x 7 = 84 minutes, 10 x 7 = 70 minutes, 15 x 7 = 105 minutes

They are still not the same answer so lets try 8:

12 x 8 = 96 minutes, 10 x 8 = 80 minutes, 15 x 8 = 120 minutes.

Since I don't want to go farther than 120 minutes, I will keep trying different numbers for the other ones besides 15.

12 x 9 = 108 minutes, 10 x 9 = 90 minutes

12 x 10 = 120 minutes, 10 x 10 = 100 minutes

Now we will focus on getting 10 to 120 because we got 12 to 120.

10 x 11 = 110 minutes

10 x 12 = 120 minutes

To sum all of this, it took 8 trips to get 15 minutes to 120 minutes, 10 trips to get 12 minutes to 120 minutes, and 12 trips to get 10 minutes to 120 minutes.

One more way to think about this is:

10, 12, and 15 can go into 120 evenly.

[tex]12\sqrt{120} = 10[/tex]

[tex]10\sqrt{120} = 12\\15\sqrt{120} = 8[/tex]

Please!!!!! help!!!!!

Answers

Answer:

유퓨요ㅛㅜㅑㅑㅅ재 내 8 ㅓㅕ를펴 16 ㅐㅏ?

Step-by-step explanation:

2 to the third power minus the quantity of (2x3) +(-4) =
could show the step by step process of working this problem

Answers

2 is the correct answerhdhhd
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