Every​ quarter, the Food and Drug Administration​ (FDA) produces a report called the Total Diet Study. The​ FDA's report covers a variety of food​ items, each of which is analyzed for potentially harmful chemical compounds. A Total Diet Study reported that no pesticides at all were found in ​% of the domestically produced food samples. Consider a sample of food items analyzed for the presence of pesticides. Complete parts a and b. a. Compute and for the random variable​ x, the number of food items found that showed no trace of pesticide. nothing ​(Type an integer or a​ decimal.)

Answers

Answer 1

Answer:

a) Mean = 600

Standard deviation = 12.24

B)No it is not likely because our probability of no pesticide is 75%  which  means that more than half of food items are without any pesticide

Step-by-step explanation:

Total number of food items = 800

We are given that no pesticides were found at all in 75% of domestically produced food samples.

So, Probability of success = p = 0.75

Probability of failure = q = 1-p = 1-0.75=0.25

Now we are supposed to find [tex]\mu[/tex] and [tex]\sigma[/tex] for random variable x

a) Mean = E(x)= [tex]n \times p = 800 \times 0.75=600[/tex]

Standard deviation =[tex]\sqrt{npq}=\sqrt{800 \times 0.75 \times 0.25}=12.24[/tex]

b)Is it likely that you would observe fewer than half of the food items without any traces of pesticides ? Why or why not ?

No it is not likely because our probability of no pesticide is 75%  which  means that more than half of food items are without any pesticide


Related Questions

There are 454 grams in a pound. Convert 330 grams to ounces.

Answers

U have to Substract the numbers and then there your answer

11.6 ounces

330g x 1lb/454g x 16oz/1lb = 11.6 ounces

If the conversion factors are properly set up and all numbers are correct, the unwanted units cancel out leaving the units of the final answer.  (citing my source usa test prep but i worked it out.)

What is 5 to the second power

Answers

it is basically asking what is 5 squared which is 25!!

Answer:

25

Step-by-step explanation:

5 times 5

5x5=25

hope this helps

A number is equal to the difference of four times the number and 18

Answers

Answer:

X = 4x-18

Step-by-step explanation:

X = “a number”^^

if f(x) = 6(x - 2)3 + 5, what is the y- intercept?​

Answers

Answer:

y= (0, -31)

Step-by-step explanation:

Hope this helps

Using the Smith's BBQ Report, liquor sales for both weeks account for approximately what percentage of beverage sales for both weeks?
A 50%
B 40%
C 30%
D 20%

Answers

It’s a because of the beverage percentages

Answer:d

Step-by-step explanation:

4(x - 2 + y) =4(x−2+y)=4, left parenthesis, x, minus, 2, plus, y, right parenthesis, equals

ill put in 50 brainly points

Answers

Answer:

x=4 and y=2

Step-by-step explanation:

The correct equation is,

⇒ y = - x + 3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 4 (x - 2 + y) = 4

Now, Simplify the expression as;

⇒ 4 (x - 2 + y) = 4

⇒ x - 2 + y = 4/4

⇒ x - 2 + y = 1

⇒ x + y = 1 + 2

⇒ x + y = 3

⇒ y = - x + 3

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Suppose your cell phone plan charges a fixed rate of $10 per month plus 7 cents per minute. Create a table that shows the relationship between the total number of minutes you might use each month, m, and your total monthly cell phone bill, t.

Answers

Create a table =10t+7m

Calculate 3cm ,4cm, 10cm and 2cm

Answers

Answer:

19cm

Step-by-step explanation:

(chose one way)

1. way using commutativity

(3cm+4cm)+(10cm+2cm)=7cm+12cm=19cm

2. way just writing

3cm+4cm+10cm+2cm=19cm

Country A is ten to the third power times greater than Country B. Country A has a population of 230,000,000. What is the population Of Country B. Help Pls

Answers

hi! I am confident that the answer is 230,000 because if country A is 10^3 times greater it would have to be 230,000,000 divided by 1,000 since 10^3=1,000. Hope this helps


here is the equation I used: A=10^3+B

I need the right answers pls and tysmmm

Answers

Answer:

It's 21, you are correct!!

Step-by-step explanation:

A food truck sells tacos $1.25 a piece. The truck operator earned $360.00 last night.
How many tacos did the food truck sell last night?
28.8 tacos
288 tacos
300 tacos
2.88 tacos

Answers

Answer:

288

Step-by-step explanation:

Each taco is 1.25 dollars and you are trying to figure out how many tacos he sold to do this we make an equation.

Step 1

1.25 x = 360

x =is the amount of tacos sold.

Step 2

1.25 x = 360

/1.25      /1.25

to get x on its own we need to cancel out the 1.25 so we dived because it was multiplied to the x. we did the same on the other side to balance the equation.

Step 3

x = 288

we now need to identify what x is, we can see it is 288. If we trade x for what it means it is then this is your answer  the amount of tacos sold=288

i hope this helps ;)

para calcular el tanto por ciento de una cantidad tengo que​

Answers

Answer:

Your answer is: Use the percentage formula: P% * X = Y  

Step-by-step explanation:

Hope this helped : )  

Su respuesta es: Utilice la fórmula de porcentaje: P% * X = Y

Espero que esto haya ayudado :)

One side of a triangle is half the longest side. The third side is 10 meters less than the longest side. The perimeter is 45 meters. Find all three sides.
m (smallest value)
m
m (largest value)

Answers

2x+x+2x-10 = 45

2x+x+2x-10 = 55

5x = 55

X=11

Smallest - 11 m
Largest - 22 m
3rd side - 12 m

-1 1/3 divided (-1.6)

Answers

Answer:

0.8333125

Step-by-step explanation:

Answer:

0.83

Step-by-step explanation:

Will mark brainliest

Answers

Answer: The third option

y = -6 + 2√6 ÷ 5    and   y = -6 - 2√6 ÷ 5

Plz mark brainliest:)

The answer should be 3

how do you find the solution to this inequality? please explain to me step by step how to do this
x - 8 > -3​

Answers

Answer:

x > 5

Interval form: (5, infinity)

Step-by-step explanation:

Just add 8 to both sides of the inequality:

x > 5

Therefore, x must be greater than 5.

I can't solve this problem: 47 x 98= ( ? x 47)-(2 x 47)

Answers

Answer:

The answer to your question is:

2 and -49

Step-by-step explanation:

2 x -49 = -98

2 + (-49) = -47

x2 - 47x - 98 = 0

The solution to factor the quadratic equation above is:

(X + 2 ) (X - 49)

Since 2 and -49 multiply to -98 and add up -47, you know that the following is true:

x2 - 47x - 98 = (X + 2 ) (X - 49)

Which are removable discontinuities?
x = -2
x = -2 and x = 0
x = 0 and x = 4
x = -2, x = 0, and x = 4

Answers

Answer:

C

Step-by-step explanation:

Got it right on eng

Answer:C

Step-by-step explanation:

peter ​says, "If you subtract 11 from my number and multiply the difference by -2​, the result is -26." What is Peter's number?

Answers

Answer:

24

Step-by-step explanation:

Reverse

-26/-2= 13

13+11=24

Check

24-11=13

13×-2= -26

I beleive the answer is 7.5 because -26 plus 11 = -15 then -15 divided by -2 = 7.5

this is probably wrong I didnt do it on paper

g The average lifespan for a certain type of vehicle is 8 years and follows an exponential distribution. A lot contains 200 of these vehicles, brand new. What is the probability that 50 or more of them fail in the first 2 years

Answers

Answer:

The probability is [tex]P(A \ge 50 ) = 0.14321[/tex]

Step-by-step explanation:

The average life span is  [tex]\pi = 8[/tex]

The sample size is n =  200

Generally we are told that average lifespan for a certain type of vehicle follows an exponential distribution

i.e  

             [tex]X \~ \ \ \ exp(8)[/tex]

Gnerally the probability distribution function for exponential distribution is

       [tex]f(x) = \left \{ {{\lambda * e^{-\lambda * x }\ \ \ x\ge 0 } \atop {0 \ \ \ \ \ \ \ \ \ \ x < 0}} \right.[/tex]

Now [tex]\lambda[/tex] is the  constant which is evaluated as

      [tex]\lambda = \frac{1}{\pi}[/tex]

=>   [tex]\lambda = \frac{1}{8}[/tex]

=>   [tex]\lambda = 0.125[/tex]

Generally the that the vehicles will fail in less than 2 years is  mathematically represented as

         [tex]P(X \le 2 )= p= \int\limits^2_0 {\lambda e^{- \lambda * x} } \, dx[/tex]

        [tex]P(X \le 2 )= p= [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * x} } ]|\left 2 } \atop {0}} \right.[/tex]

       [tex]P(X \le 2 )= p= [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * 2} } ] - [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * 0} } ][/tex]

     [tex]P(X \le 2 )= p= -0.77880 + 1[/tex]

     [tex]P(X \le 2 )= p= 0.2212[/tex]

Generally the probability that the vehicle will fail in the first 2 years follows a binomial  distribution  with the mean evaluated as

         [tex]\mu = n * p[/tex]

=>      [tex]\mu = 200 * 0.2212[/tex]

=>      [tex]\mu = 44.24[/tex]

The standard deviation is

       [tex]\sigma = \sqrt{np(1 - p)}[/tex]    

      [tex]\sigma = \sqrt{200 * 0.2212 (1 - 0.2212)}[/tex]  

      [tex]\sigma = 5.86[/tex]

Using normal approximation of binomial  distribution the  probability that 50 or more of them fail in the first 2 years is mathematically represented as

   [tex]P(A \ge 50 ) = 1 - P(A < 50 )[/tex]

Applying continuity correction

    [tex]P(A \ge 50.5 ) = 1 - P(A < 50.5 )[/tex]

Here

    [tex]P(A < 50.5 ) = P(\frac{A - \mu }{\sigma} < \frac{50 - 44.24}{5.87} )[/tex]

Generally  

       [tex]\frac{A - \mu }{\sigma} = Z (The \ standardized \ value \ of A )[/tex]

=> [tex]P(A < 50.5 ) = P( Z < 1.0664 )[/tex]

From the z-table the probability value  of  ( Z  <  1.0664   ) is  

     [tex]P( Z < 1.0664 ) = 0.85679[/tex]

So  

   [tex]P(A \ge 50 ) = 1 - 0.85679[/tex]

=> [tex]P(A \ge 50 ) = 0.14321[/tex]

What is 1 hundredth ÷ 10?
1 hundredth ÷ 10 =

Answers

Answer:

.001 or 1 thousandth

Step-by-step explanation:

.01/10=.001

134d) Graph the hyperbola, identify the center, vertices, foci, and equations of the asymptotes

49y^2−25x^2−196y−200x−1429=0

IF YOU ARE GOOD AT MATH, PLEASE HEAD OVER TO MY PROFILE, IN THE QUESTIONS TAB AND ANSWER THE QUESTIONS STARTING FROM THE ONE MARKED 132B!

best answers get marked 'brainliest'!

Thank you!

Answers

Answer:

Step-by-step explanation:

49y^2 - 25x^2 - 196y - 200x = 1429

49y^2-196y+196 - 25x^2-200x-400 = 1429+196-400

49(y-2)^2 - 25(x+4)^2 = 1225

(y-2)^2/25 - (x-4)^2/49 = 1

So now you know that you have an hyperbola with

center at (-4,2)

foci at (-4,2±[tex]\sqrt{74}[/tex])

vertices at (-4,2±5)

asymptotes 7y±20 = ∓5x+14

what is the equation of the line for figures G and
H

Answers

Answer:

B = C + (C - A) = (51/50 + 51/50 - 2, 457/50 + 457/50 - 9) = (1/25, 232/25).

Step-by-step explanation:

what is 100,789,388,369,012 times 479,000,000

Answers

Answer:

4.8278117e+22

Step-by-step explanation:

48278117028756748000000
Pls mark brainliest

What is the solution of a - 3 = -7

Answers

Answer:

-4

Step-by-step explanation:

take -3 to other side or        add 3 to both sides

So, a=-7+3

       =-4

Is the function even, odd, or neither?

Answers

Answer:

The function is neither even or odd

Step-by-step explanation:

HELP ME get the altitude!!!!!

Answers

Add them all together

Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 12 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Charles, Margaret, and Sean are chosen?

Answers

Using the combination formula, it is found that the probability that you, Charles, Margaret, and Sean are chosen is:

[tex]p = \frac{1}{495}[/tex].

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 4 people will be chosen from a set of 12, hence the number of ways to choose them is:

[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]

The desired combination is only one, hence the probability is:

[tex]p = \frac{1}{495}[/tex].

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a maple tree shades an area of 7 1/2 m square. in the scale drawing, the maple tree shades an area of 12 1/2 cm square. in the scale drawing how many square centimeters represents 1 m squared

Answers

The number of centimeter squares in the scale drawing for each 1 m squared is 1.67.

What is Scale factor?

The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.

Given that,

The area shaded by a maple tree is 7(¹/₂) m².

And, the area shaded in scale drawing is 12(¹/₂) cm².

The required  number of square centimeters can be found by dividing the two areas as follows,

12(¹/₂) / 7(¹/₂)

= (25/2)/(15/2)

= 25 / 15

= 5 / 3

= 1.67

Hence, the number of centimeter squares in the scale area is 1.67.

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Felipe has a flower bed

Answers

Answer:

man thats cool

Step-by-step explanation:

LoL guess Pelipe is happy
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