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A boat capsized and sank in a lake Based on an assumption of a mean weight of 131 lb, the boat was rated to carry 60 assengers (s the load lin was 7,860 lb).
After the boat sank, the assumed mean weight for similar boats was changed from 131 lb to 173 lb Complete parts a and below.
a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mea of 176 1 lb end a standard
deviation of 40.2 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 131 ||
The probability is
(Round to four decimal places as needed)
b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,941 lb. Find the probability t at the boat is erloaded bause the
mean weight of the passengers is greater than 173 (so that their total weight is greater than the maximum capacity of 29 1 lb)
The probability is
(Round to four decimal places as needed)
Do the new ratings appear to be safe when the boat is loaded with 17 passengers? Choose the correct answer below.
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ents
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O A. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appes to be safe
OB. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with passengers
OC. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 17 passe ers:
Click to select your answer(s)
past due

Answers

Answer 1
B bebdbegsvsghshssbsh

Related Questions


What is the measure of BDC

Answers

Answer:

105 degrees

Step-by-step explanation:

180 - 75 = 105

What is the slope of a line parallel to a line whose slope is 5/2?

Answers

Answer:

5/2

Step-by-step explanation:

Parallel lines have the same slopes

Answer:

Step-by-step explanation:

because the new line is parallel, it will have the same slope as the original equation.

slope

=

3

we know the slope and a point, so we can use the point slope formula:

y

y

1

=

m

(

x

x

1

)

y

1

is the y coodinate,

x

1

is the x coordinate,

and m is the slope

plug the values in

y

+

2

=

3

(

x

+

5

)

What is the length of a segment with endpoints at F(6, 4) and G(14, 19)? Round to the nearest whole number.

Answers

Answer:

17

Step-by-step explanation:

d = √( (x₂ - x₁)² + (y₂ - y₁)² )

   = √( (14 - 6)² + (19 - 4)² )

   = √( 8² + 15² )

   = √( 64 + 225 )

   =  [tex]\sqrt{289}[/tex]

   = 17

in an experiment, the control variable is d and the response variable is e. which variable is not manipulated, but measured, and represents the data being recorded?

Answers

The control variable is used as a “normal” the response variable is the one being measured and/or recorded

Jayda bought a magazine that costs 6 and seven bags of marshmallows jayda spends a total of 34. How much did each bag of marshmallows costs ?

Answers

Answer:

4

Step-by-step explanation:

First, you need to take the cost of the magazine off the total which Jayda spent

34-6=28

Next, you know that you have seven bags of marshmallows, and the total cost of seven bags is 28. So, you need to divide 28 by the number of bags.

28÷7=4

Each bag of marshmallows costs 4

3/4of 16/27/23/14+12/18 using bodmas rule

Answers

Your answer :------

3/4 of 16/27+23/14+12/18
=4/9+23/14+12/18
= (56+207+84)/126
= 347/126 = 2.75 approx ans.

If it helps you mark me as brainlist

Thanks

Unit 4: Lesson 9: Parallel and Perpendicular Lines Unit Test Parallel and Perpendicular Lines does anyone have the answers for this 13 question test ??

Answers

What test is this question from?

Answer:

I need these answers and the ones he put in in the comments are all wrong

Lisa,Amy and Pete decided to race up the stairs that has 24 steps.Lisa takes 2 steps Every Second,Amy takes 3 steps every second. If pete starts at the bottom,what should lisa and amy start on so that all three finish in a tie? please help with strategy.

Answers

Answer:

How many steps does pete take every second? one?if so, lisa and amy wouldn't start on steps, they would start further back

What is the difference between –12 and –5?

Answers

Answer:

-7

Step-by-step explanation:

(-12)-(-5)

negative and negative make a positive

-12+5

= -7

Answer:

-7

Step-by-step explanation:

Describe the possible values of x.​

Answers

Answer:

70x - 70 if it means 5 * 7 * (2x - 2)

Step-by-step explanation:

8(3x-2)-8x=9(2x-6) find x

Answers

if i’m solving it correctly x = 4

Answer:

x=19

Step-by-step explanation:

8(3x-2)-8x=9(2x-6) Distribute.

24x-16-8x=18x-54   Combine like terms.

16x-16=18x-54         Subtract 16x from both sides (getting rid of a variable first  

-16x     -16x               is easier).

-16=2x-54                 Add 54 to both sides.

+54    +54

38=2x                       Divide both sides by 2.

/2   /2

19=x

Hope this helps!! Have a great day ^^

Given h(x) = 5x + 3. what is the value of h(-11)

Answers

Answer:

h(-11)=-52

Step-by-step explanation:

Answer:

h(x)=52

Step-by-step explanation:

so x= -11 now plug in for x and solve

5(-11)+3

-55+3= -52

A machine is used to fill 1-liter bottles of a type of soft drink. We can assume that the output of the machine approximately follows a normal distribution with a mean of 1.0 liter and a standard deviation of .01 liter. The firm uses means of samples of 25 observations to monitor the output, answer the following questions: Determine the upper limit of the control chart such that it will include roughly 97 percent of the sample means when the process is in control

Answers

Answer:

1.00434

Step-by-step explanation:

Given the following :

Given a normal distribution ;

Mean (m) = 1.0 liter

Standard deviation (σ) = 0.01 liter

Sample size (n) = 25

For 97% sample means (sm) = 0.97

Z = (m - sm) / s

Zcrit = 1 - (100% - 97%)/2

Zcrit = 1 - (0.03/2)

Zcrit = 1 - 0.015 = 0.985

The z score which corresponds to 0.985 = 2.17

Upper limit : m + z*(σ/√n)

Upper limit : 1.0 + 2.17*(0.01/√25)

Upper limit : 1. 0 + 2.17*(0.01/5)

= 1.0 + 2.17*0.002

= 1.0 + 0.00434

= 1.00434

Please help with this problem thank you.
-8 + n = 62 What is n?

Answers

Answer:

n = 70

Step-by-step explanation:

-8 + n = 62

      n = 70

Question
A line with a positive slope Is parallel to one of the lines shown. What is its slope? Use the graph shown
below.
The slope is

Answers

Answer:

¼

Step-by-step explanation:

The slope of the line which is positive, will be the same as the slope any of the given line that has a positive slope also.

Thus, how do we know which line we should we calculate the slope for? The line that shows a positive slope would be the line we are to calculate the slope.

The blue line shows a positive slope. We know this because positive slope usually slants up as from our left to our right.

The red line has a negative slope. It slants down from left to right.

Next, find the slope of the blue line using the coordinates of any two points on the line. Let's use the following points, (0, 2) and (4, 3)

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 0} [/tex]

[tex] slope(m) = \frac{1}{4} [/tex]

The slope of the line that is parallel to the blue line is ¼.

What is
f(x) = x3 – 4x2 – 7x + 10 in factored form given that 5 is a zero of the function?

Answers

Answer:

(x-2)(x+1)(x-5)

Step-by-step explanation:

K^2+k=0 what does k=

Answers

Answer:

k = K^2

Step-by-step explanation:

Subtract  K^2 from both sides of the equation.

PLEASE HELP!!!!!!!!BRAINLIEST PLUS 16 POINTS
y = −5x2 + 10x + 12.

Part A: Show your work to complete the square of the function. (1 point)

Part B: Identify the vertex of the function. (1 point)

Part C: Explain how to determine the maximum or minimum value of the function. (2 points)

Answers

Answer:

5x2=10+10=20+12= 32.

Step-by-step explanation

The correct answer is 32.

Hope I helped.

The length of a rectangle is 4 feet less than twice its width, while the perimeter is 15.

Answers

Answer:

width: 3.83

length: 3.66

Step-by-step explanation:

The perimeter of a triangle is calculating by adding all the sides together (length + length + width + width). Since we are given the formula for the length we can simply substitute that formula and solve for the width which would be the only variable in the equation.

length + length + width + width = 15

(2w-4) + (2w-4) + w + w = 15  ... combine like terms

6w - 8 = 15  ... add 8 on both sides

6w = 15 ... divide both sides by 6

w = 3.83

Now that we know the value for the width we can plug it into the formula for the length to find its value

l = 2w - 4

l = 7.66 - 4

l = 3.66

Finally, we can see that the rectangle has a width of 3.83 and a length of 3.66

A human gene carries a certain disease from the mother to the child with a probability rate of 39%. That is, there is a 39% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has four children. Assume that the infections of the four children are independent of one another. Find the probability that all four of the children get the disease from their mother. Round to the nearest thousandth.

Answers

Answer:

[tex]Probability = 0.023[/tex]

Step-by-step explanation:

Given

Represent the given probability with P(Gene)

[tex]P(Gene) = 39\%[/tex]

[tex]Children = 4[/tex]

Since all 4 children get the disease, the required probability is calculated as thus:

[tex]Probability = P(Gene)^4[/tex]

[tex]Probability = 39\%^4[/tex]

Convert % to decimal

[tex]Probability = 0.39^4[/tex]

[tex]Probability = 0.02313441[/tex]

[tex]Probability = 0.023[/tex] Approximated

The value of a car dropped from $35,600 to $30,189 over the last year. Determine the absolute and relative

change in this situation. Round your answer to the nearest hundredth.


Absolute change=


Relative change=

Answers

Step-by-step explanation:

Given data

old price= $35,600

new price=$30,189

Absolute change= old price -new price

Absolute change=35,600-30,189

Absolute change=5411

Relative change=(old price -new price)/old

Relative change=(35,600-30,189)/35,600

Relative change=5411/35,600

Relative change=0.151

the relative change is a percentage= 0.151*100= 15.1%

Can someone please help me with this, I will mark you as brainliest

Answers

Answer:

1st answer is 1/2x^5

2nd answer is m^3/16p^2q^2

3rd answer is 2r^4+9r^3

What is the length of LA?

Answers

The length of LA in the triangle will be 8.

How to calculate the triangle?

From the information given, it was stated that both the triangles are similar.

In this situation, the length of LA will be:

= (12 × 4)/6

= 48/6

= 8

Therefore, the length of LA in the triangle will be 8.

Learn more about triangles on:

brainly.com/question/17335144

#SPJ6

a positive real number is 2 more than another. if the sum of the squares of the two numbers is 14, find the numbers​

Answers

9514 1404 393

Answer:

√6 -1 ≈ 1.44949√6 +1 ≈ 3.44949

Step-by-step explanation:

Let x represent the smaller number. Then the sum of squares is ...

  x² +(x+2)² = 14

  2x² +4x +4 = 14 . . . eliminate parentheses

  2x² +4x -10 = 0 . . . put in standard form

  x² +2x -5 = 0 . . . . . divide by 2 (because we can)

  (x +1)² -6 = 0 . . . . . complete the square

  x +1 = √6  . . .   we want the positive root

  x = -1 +√6

  x+2 = 1 +√6

The numbers are √6±1.

Write the number in
standard form
6 tens+7=

Answers

Answer:

60 + 7 =

Step-by-step explanation:

its correct lol omg sjsjsjjsjsjsssjsjsnsnssn

Answer:

Answer: 67

10 x 6 + 7 = 67

Hi i need help on letters:

L,A,E,R,T,C,I,S,F,G,H,D,N,and O

Im giving 14 points if u answer all of them!!;)

Answers

Answer:

Step-by-step explanation:

E = 10:15 C = 4:5 F = 1:10 D = 1:2 R = 1:3 I = 30: 80 G = 16:48  N = 20: 40

A = 2:1 T = 6:10 S= 9:12 H = 9 O = 1: 11

(wouldve explained them but im in class :)

the other one is 27​

Answers

Answer:

the scale factor is 9 and x = 58.5

Step-by-step explanation:

to get the scale factor just do DE/AB so 27/3

A university designs its campus with a master plan of two concentric circles. All of the academic buildings are within the inner circle (so that students can get between classes in less than 10 minutes), and the outer circle contains all the dormitories, the Greek park, cafeterias, the gymnasium, and intramural fields. Assuming the center of campus is the origin, write an equation for the outer circle if the diameter is 3800 feet. Equation Editor

Answers

Answer:

[tex]x^2+y^2=36100000[/tex]

Step-by-step explanation:

Here it is mentioned that the there are two concentric circles this means that they have the same center.

The center of the circles are the origin [tex](0,0)[/tex].

Radius of the outer circle is

[tex]r=\dfrac{3800}{2}=1900\ \text{m}[/tex]

Equation of a circle

[tex](x-a)^2+(y-a)^2=r^2[/tex]

where

[tex]a\ \text{and}\ b\ \text{are the}\ x\ \text{and}\ y\ \text{coordinates of the center}[/tex]

[tex]r=\text{Radius of the circle}[/tex]

Here the equation will be

[tex](x-0)^2+(y-0)^2=1900^2\\\Rightarrow x^2+y^2=3610000[/tex]

The equation of the outer circle is [tex]x^2+y^2=3610000[/tex]

Expand the following expression 3(4−5x)

Answers

Answer:

12-15x

Step-by-step explanation:

3 × 4=12

3 × -5x=-15x

12 - 15x

The class has a ratio of 5 boys for every 8 girls. If the school has 312 students, how many are boys

Answers

Answer:

120, if I did it right

Step-by-step explanation:

In a group of 13 students, 5 are boys. Turn that into a fraction, 5 over 13 or 5/13. Just multiply 5/13 times 312 and you get your answer, 120.

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