There is a chowder eating contest in a small New England town. The distribution of the amount of chowder consumed is bell-shaped with mean 32 ounces and variance 64 ounces. If two hundred people participated in the contest, find the following.a. The number of people who consumed between 24 and 40 ounces of chowder.b. The number of people who consumed between 16 and 40 ounces of chowder.

Answers

Answer 1

Answer:

Interval ( 24 ; 40 ) has  136 participants

Interval ( 16 ; 40 ) has 163 participants

Step-by-step explanation:

Normal distribution.

As variance is 64     then  standard deviation is σ = 8

And  mean   μ₀ = 32

We can see that   μ₀ ± σ      is    32 ± 8

The interval  (  32- 8 ; 32+8 )  is  ( 24 ; 40 )

By empirical Rule we know that   μ₀ ± σ   contains 68% of the population then   200*0,68 = 136

The number of participants between 24 and 40  is 136

By symmetry of these 136   half of them are between 32 and 40 ( 136/2 = 68 )  ( between mean and 40 )

Now in the interval  ( 16 ; 40 ) we note that  16 is  32 - 16  = 16 or μ₀ - 2σ

And again by empirical rule  μ₀ ± 2σ has 95 % of the population that means 200*0.95 = 190 and by symmetry 190/2   95 are between  μ₀ - 2σ, therefore

95 people are between        μ₀ - 2σ   or between  ( 16  ; 32 ) and between  ( 32 ; 40  ) there are 68 people then

The interval  ( 16 ; 40 )  has  95 + 68  = 163 participants


Related Questions

-2 (1/3x - 1/5) please answer ASAP I have to turn this in in 30 min!!

Answers

Answer:

1/3 + 1/5 them you solve -2

Step-by-step explanation:

Answer:

-2/3x+2/5

Step-by-step explanation:

Open up parentheses

-2 x 1/3x= -2/3x

-2 x 1/5= 2/5

The sum of 2 numbers is 30. Their product is 176. What are the 2 numbers?

Answers

Answer:

Step-by-step explanation:

x, 30 - x add to 30.  The other condition says

x (30 - x) = 176.  Multiply it out.

30x - x^2 = 176, so

x^2 - 30x = -176, complete square by adding 15^2 to both sides

(x - 15)^2 = 225 - 176 = 49, take square root

x - 15 = 7,  so one number is:

x = 22 and the other is 30 - x = 8.

From midnight to 6:00 am, the temperature rose 1.55c each hour. If the temperature at 6:00 am was 4.3c, what was the temperature at midnight?

Answers

I believe that the answer is zero

A screening test for a newly discovered disease is being evaluated for its performance as a screening test. In order to determine the effectiveness of the new test, it was administered to 270 workers. A total of 42 individuals who had been diagnosed with the disease tested positive for it. Results showed a negative test for an additional 25 people with the disease. A total of 51 people without the disease tested positive. What is the sensitivity, specificity, positive predictive value, negative predictive value, and accuracy of the test

Answers

Answer:

- Sensitivity = 62.7 %

- specificity = 74.9 %

- positive predictive value = 45.2 %

- negative predictive value = 85.9 %

- Accuracy of the test = 71.9 %

Step-by-step explanation:

Given the data in th question;

                                 CONDITION POSITIVE    CONDITION NEGATIVE   TOTAL

TEST POSITIVE                   42                                       51                            93

TEST NEGATIVE                 25                                      152                          177

TOTAL                                  67                                     203                         270

so; A=42, B=51, C=25 and D=152

Sensitivity = [A / ( A + C) ]×100= [42 /( 42 + 25)]×100 = [42 / 67] 100=

Sensitivity = 62.7 %

specificity = [D / ( D + B) ]×100= [152 /( 152 + 51)]×100 = [152 / 203] 100=

specificity = 74.9 %

positive predictive value = [A / ( A + B) ]×100 = [42 /( 42 + 51)]×100 =[42/93] 100

positive predictive value = 45.2 %

negative predictive value =  [D / ( D + C) ]×100 = [152 /( 152 + 25)]×100 =[152/177] 100

negative predictive value = 85.9 %

Accuracy of the test = [A + D / ( A+B+C+D)] =  [42 + 152 / ( 42+51+25+152)]

= [ 194 / 270 ]

Accuracy of the test = 71.9 %

21=8+x (solve for x)

Answers

Answer:

X=13

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

21=8+x

Swap sides so that all variable terms are on the left hand side.

8+x=21

Subtract 8 from both sides.

x=21−8

Subtract 8 from 21 to get 13.

x=13

how do you solve y+1=2x

Answers

y =2x-1

Step-by-step explanation:

Estimate the unit rate to the nearest whole number.

74.75

Answers

Answer:

umm.... 75? id say that sooo yea

Answer:

The answer is $75.00

Step-by-step explanation:

0.75 is above fifty, so you round up. Which gets you to 75

65 POINTS!!! ANSWER ASAP PLEASE!
Computer keyboards have many different types of keys. A key may have a number, letter, or symbol (like a question mark) on it. On the keyboard shown, what percent of the keys do NOT have numbers on them?






A.
40%
B.
25%
C.
75%
D.
10%

Answers

Answer:

abt 75%

Step-by-step explanation:

The answer is D, 75%

please help :( i’ve posted like 10 times and need answerers fast but no one can help. will give thanks and mark brainlist

Answers

9514 1404 393

Answer:

  BC ≈ 9.6 mi

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle.

  Tan = Opposite/Adjacent

  tan(58°) = BC/(6 mi)

  BC = (6 mi)tan(58°)

  BC ≈ 9.6 mi

2
Simplify the expression by combining like terms.
2x + 4y + 6 + 2y - 5+ 3x
<

Answers

Answer:

5x + 6y + 1

Step-by-step explanation:

I need help with this I roll mark you if right

Answers

the answer is a. 45+2x=180

Answer:

That would be A my good Sir (or ma'am).

Step-by-step explanation:

A triangle has a total of 180 degrees in it , however we already know one side is 45, so we can add that to the solution, we also know that 2 sides are the exact same, so therefore, we will be multiplying our unknown value ( x = 67.5 btw, not so unknown) by 2, and you will always get 180 degrees, thats how you check your answer, also if you sbutract 45 from 180 and divide the product by 2 you will get the value of x ( which is 67.5).

Thats It Helps It Helps!

Find the circumference of 17 km

Answers

Answer:

23

Step-by-step explanation:

Area = π·r2 = 3.14·2.712 = 23 square kilometers(*)

given y= 1/3x+5, find y when x = -3

Answers

answer: y = 4

explanation:
y = 1/3(-3) + 5
y = (-3)/3 + 5
y = -1 + 5
y = 4

Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.

Answers

Step-by-step explanation:

a graphing calculator is more accurate then graphing by hand especially when you dont know the exactly were the point is

Answer:

a graphing calculator is just easier to graph the points than having to put every point on a piece of graph paper. the calculator also can tell you a bunch of other things like the domain or range or y intercept or x intercept. it’s just all along easier

Step-by-step explanation:

I have no clue if this is the sample response so watch out

Question 5
Calculate the perimeter of the sector
4cm
285

Answers

Circumference of circle of radius 4 cm = 8π cm
length of 285° arc = (285/360)×(circumference) = (19/24) × 8π = (19/3)π
Perimeter of sector = arc length + 2 radii = (19/3)π + 8 ≈ 27.9 cm

The arc length of the sector will be 19.89 centimeters.

What is the arc length of the sector?

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The radius of the sector is 4 cm. And the central angle is 285°.

Then the perimeter of the sector is given as,

Arc = (285° / 360°) x 2 x 3.14 x 4

Arc = 19.89 cm

The arc length of the sector will be 19.89 centimeters.

More about the arc length of the sector link is given below.

https://brainly.com/question/15955580

#SPJ2

2x^3+7x^2-4x+7/x^2+2x+2

Answers

Answer:

Step-by-step explanation:

While on vacation in Lancaster, David went out for a dinner that cost $75. If sales tax in
Lancaster is 4% and David left a 20% tip on $75, what was the total cost of his meal?

Answers

Answer:

$93.

Step-by-step explanation:

Given that David went out for a dinner that cost $ 75, the price at which a sales tax of 4% was applied, and left a 20% tip on $ 75, to determine the total cost of his meal the following calculation must be performed:

75 + (75 x 0.2) + (75 x 0.04) = X

75 + 15 + 3 = X

93 = X

Therefore, the total cost he payed for his meal was $ 93.

Answer:

ok

Step-by-step explanation:

ok

Can someone help me with this pls, it's due very soon!!

Answers

Not exactly sure if I’m understanding the question correctly, but here is my answer:

2x+20

Explanation:

I took the equation of the larger rectangle (5x+18) and subtracted the equation of the smaller rectangle (3x-2) from it.
(5x+18) - (3x-2)
Distribute the (-) to the second equation to get 5x+18 -3x+2
Combine alike terms to leave you with 2x+20

What is the equation of a line that contains the point (3, 5) and hasba slope of 3 in slope-intercept form?

Answers

Answer:

y= 3x - 5

Step-by-step explanation:

y= mx+b is slope-intercept form,

m= slope (3)

b= y-intercept (5)

Therefore, y = 3x - 5 is your form.

If you wanted to calculate it, you'd input the x value of 3, like y = 3^3 - 5 to find your slope intercept.

Distribute – 2x (-1 + 3x).

Answers

Answer:

4x

Step-by-step explanation:

2x(-1+3)

distributive property: -2x+6x

-2x+6x=4x

Remember that x times x is x^2

Please find the slope of (-2, 4) and (3, -5)

Answers

Answer:

The slope of the line = m = -9/5

Step-by-step explanation:

Given the points

(-2, 4)(3, -5)  

Determining the slope between (-2, 4) and (3, -5)

(x₁, y₁) = (-2, 4)

(x₂, y₂) = (3, -5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]  

                 =  [-5 - 4] / [3 - (-2)]

                 = [-9] / [3 + 2]

                 = -9/5

Thus, the slope of the line = m = -9/5  

Answer:

m = -9/5

Step-by-step explanation:

Taking (-2,4) as (x1,y1), and

Taking (3,-5) as (x2,y2)

Using the slope (m) formula:

[tex]m = \frac{y2-y1}{x2-x1}[/tex]

= (-5-4)/(3-(-2))

= -9/(3+2)

= -9/5

Hence, the slope is -9/5

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

What is this surface area?!!??

Answers

Answer:

132 in^2

Step-by-step explanation:

4×3×1/2×2+10×4×3=132

Factor the polynomial completely.
x^4 – 256

Answers

Answer:

(x²+16)(X+4)(x-4)

Step-by-step explanation:

x⁴ can be written as (x²)²

256 can be written as (16)²

by identity. a²-b²= (a+b)(a-b) :

(x²+16)(x²-16)

x²-16 can be written as (x)²- 4²

by identity. a²-b²= (a+b)(a-b) :

(X+4)(x-4)

Therefore, the factors altogether would be

(x²+16)(x+4)(x-4)

What is the distance between (4, 6) and (5, 0)

Answers

Answer:

6 units

Step-by-step explanation:

Given data

x1=4

y1=6

x2=5

y2=0

substitute in the formula for the distance between two points

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((5-4)²+(0-6)²)

d=√((1)²+(6)²)

d=√36)

d=6

Hence the distance is 6 units

You might need:
Calculator
y
3+
2-
2
4 -3 -2
-1
1
2
-2
-3
What is the slope of the line?

Answers

Answer:

[tex]\displaystyle m=\frac{1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Reading a Cartesian PlaneCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (5, 0)

Point (-4, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{-3-0}{-4-5}[/tex][Fraction] Subtract:                                                                                              [tex]\displaystyle m=\frac{-3}{-9}[/tex][Fraction] Simplify:                                                                                                [tex]\displaystyle m=\frac{1}{3}[/tex]

Ealuate the following example
52 + 4(6 + 4 + 2)
The value of the expresson

Answers

Answer:

I think the answer is 100

Answer:

[tex]100[/tex]

Step-by-step explanation:

1. Simplify 6 + 4 to 10.

[tex]52 + 4 \times (10 + 2)[/tex]

2. Simplify 10 + 2 to 12.

[tex]52 + 4 \times 12[/tex]

3. Simplify 4 × 12 to 48.

[tex]48 + 52[/tex]

5. Simplify.

[tex]100[/tex]

therefor, the answer is 100.

Define/explain the symmetric property.

Answers

Step-by-step explanation:

The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .

Find the unit rate for 6 and 2/5 cookies in 4 minutes ​

Answers

Answer:

Step-by-step explanation:

6 2/5 cookies in 4 mins

To find the unit rate in minutes, divide 6 2/5 and 4 by 4.

In one minute is 1.6 cookies.

To find the unit rate in cookies, we divide by 6 2/5.

For one cookie, there are 5/8 minutes.

5. Os 384 participantes de uma campanha beneficente foram igualmente distribut
dos em 16 locais de arrecadação do município. Quantos participantes ficaram em
cada local de arrecadação?​

Answers

Answer:

24

Step-by-step explanation:

384÷16= 24

HELPPP DUE IN FEW MINS ILL GIVE BRAINLESS

Answers

Answer:

C. Find the sum of all the values and then divide by the number of values

Step-by-step explanation:

Other Questions
why should there be laws against the use of cell phones while driving? The theme for Black History Month in 2017 focused on the roleof education in the history of African Americans. How does thistheme relate to Woodson's original goal for Negro HistoryWeek? -k+ 3kCombining like terms and distributing Find the quotient. h 6 h If a substance has a density of 2.545g / mL how many grams would the substance weigh if the sample has a volume of 122.1 mL? Which type of tax provides income for retired and disabled people and their families?A. Social Security taxB. Medicare taxC. Property taxD. Income tax MADAM C.J WALKER QUESTIONS1). Born/Death/Age when died 2). Education/college/major3). Siblings 4). City, State they grew up in5). Explain their upbringing? For example: MLK Jr. grew up out in the country poor and abused.6). What conflicts (problems) did they face ?7). What did they accomplice or change ? Need help asap will give brainliest Ms. Merry spent a total of $33.42 to buy 6 books. Each book was the same price. Which expression should be used to estimate the cost ofeach book? This conjugation is correct: T vienenQuestion 3 options: True False what would be yearly earnings for a person with $6000 in savings at an annual interest rate of 2.0% 4 Read the following selection from the section "Language Is Power."The decision of which language to write in could decide who could speak on Africa and how.Writing in European languages could perpetuate colonial structures after independence.What is the BEST definition of "perpetuate" as it is used in this sentence?(A) criticize or evaluate(B) maintain or continue(C) abolish or destroy(D) guard or conceal Make a visual model to show the number pattern for 5, 10, 15, 20, 25? Electrical energy is the amount of energy that an object contains due to kinetic energy Given that the function g is defined by the rule g(x)=3-2x,determine the following g(a)= plz answer fast!!! What is a corbel? quickly please im very confused 2. Which is the best example of someone who is beseeching?A. a manager asking a prospective employee to fill out an applicationB. a professor assigning students homework questions about a poemC. a child begging for a game he has wanted for a long timeD. a man giving directions to a stranger on the street Which describes an efficient outcome?Option 1,2,3,4 After you done taking a STAAR test how do you feel.CHoose two question or more question to answer.1. Do you believe the test was too long? Why? 2. What was the hardest part of the test? 3. Do you feel like you were rushed? 4. Why? Did you do your best? How so?5. How do you think you did on the writing piece? Why?6. Do you feel like you were prepared? Why? or Why not?