A certain brand of candies have a mean weight of 0.8616g and a standard deviation of 0.0518 based on the sample of a package containing 447 candies. The package label stated that the net weight is 381.8g If every package has 447 candies the mean weight of the candies must exceed 381.8/447=0.8542 for the net contents to weight at least 381.8g.
a) If 1 candy is reandomly selected, find the probability that it weights more than 0.8542g.
The probability is ________.
(round to four decimal places as needed)
b) If 447 candies are reandomly selected find the probability that their mean weight is at least 0.8542 g.
the probability that a sample of 447 candies will have a mean of 0.8542g or greater is __________.
(round to four decimal places as needed)
c) Given these results does it seem that the candy company is providing consumers with the amount claimed on the label?

Answer: 621 cm

A = bh

A = 27 x 23

A = 621

Answer:

D

Step-by-step explanation:

Let the number be n.  Then "a number divided by 22" would be n/22 (Answer D)

The number divided by 22 can be written as x / 22, so option D is correct.

It is a fundamental operation in mathematics where you divide a number into smaller parts.

Given:

A number divided by 22,

Here, the divisor = 22

Assume the number is x

Then, dividend = x

Thus, expression can be written as,

dividend/divisor = x / 22

To know more about division:

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#SPJ2

Answer:

A) (x - 5)² = 36

Step-by-step explanation:

x² - 10x - 11 = 0

A) CORRECT

(x - 5)² = 36

x² - 10x + 25 = 36

x² - 10x + 25 - 36 = 0

x² - 10x - 11 = 0

Answer:

sorry bro i need points i got 10 minutes left on dis quiz but i recommond course hero bro have a good day

Step-by-step explanation:

Answer:

1.24

Step-by-step explanation:

i subtracted 1-1

Answer:

Can you upload this as a jpg, I can't open it to asnwer. Also, you listed 10 points not 20.

Step-by-step explanation:

Answer: 61.4

Step-by-step explanation:

Answer:

nothing

Step-by-step explanation:

Answer:

Look at my explanation

Step-by-step explanation:

The circumference of a circle is 2πr, so you can set it up like this since the circumference was 22π.

2πr = 22π

divide both sides by 2

πr = 11π

divide both sides by π

you get r = 11

So your radius is 11.

To find the area, you must do πr^2 ("^2" means squared)

if you substitute 11 for r you get

11π^2

you can do 11 squared first

11^2 = 121

the area of the circle = 121π

Keep in mind that they said to use 3.14 for π

so you can do 121 x 3.14

Final Answer: 379.94

Answer:

[tex]A=7569\pi \ ft^2[/tex]

Step-by-step explanation:

The diameter of a sphere is 87 feet.

We need to find its surface area. The formula for surface area is given by :

[tex]A=4\pi r^2[/tex]

Where

r is the radius of the sphere

[tex]A=4\pi \times (\dfrac{87}{2})^2\\\\=7569\pi \ ft^2[/tex]

So, the surface area of the sphere is equal to [tex]7569\pi \ ft^2[/tex].

Answer:

A family buys 6 tickets to a show. they also pay a $3 parking fee. they spend $27 total.

Answer: 10

Step-by-step explanation:

Answer:

9x + 1

Step-by-step explanation:

Combine like terms. Like terms are terms with the same amount of the same variables.

Add 5x and 4x:

5x + 4x + 1

(5x + 4x) + 1

9x + 1

9x + 1 is your answer.

~

Answer:

1 5/6

Step-by-step explanation:

Answer:

It is 276.32

The equation is 2 times pi times radius times height, plus 2 times pi times radius squared.

r=radius

h=height

π=pi (3.14)

The radius is half the diameter and is given. It is 4.

The height is also given. It is 7.

So, follow GEMDAS and plug it in.

(2 x 3.14 x 4 x 7) + (2 x 3.14 x 4^2)

Plug it into the calculator and it will give you 276.32.

Hope this helps!

Have a great day and please rate and put thanks if it helped.

Also, if you can, mark me!

Answer:

3x+4

Step-by-step explanation:

Answer:

The answer is: 26

Step-by-step explanation:

How i got this answer is i used a method called P.E.M.D.A.S ( parenthesis, exponents, multiplication, division, addition, subtraction). So i first did what was in the parenthesis (75 / 3= 25). Next I did division ( 25 / 5=5). Lastly, I did Subtraction ( 31-5 = 26) and so your left off with the answer 26.

~I really hope this explanation helped, have a gr8 day/night my friend!~

Answer:

I got 26 hope this helps

hehdhfhjsje

Answer:

-1/6

Step-by-step explanation:

Hope this helps down below! Pls mark brainliest

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(12×33)−(23×22)=?

Complete the multiplication and the equation becomes

36−46=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

3−46=−16

This fraction cannot be reduced.

Therefore:

12−23=−16

Solution by Formulas

Apply the fractions formula for subtraction, to

12−23

and solve

(1×3)−(2×2)2×3

=3−46

=−16

Therefore:

12−23=−16

Answer:

It is not linear

Step-by-step explanation:

If you plug that function into Desmos graphing Calculator, you can see there are two leparate lines and they are not straight.

Answer: The answer would be 3/7.

Step-by-step explanation:

9514 1404 393

Answer:

  7.  4 cm

  8.  206 paper cups

  9.  175pi cm³

Step-by-step explanation:

7. The formula for the volume of a cone can be used.

  V = 1/3πr²h

  h = 3V/(πr²) = 3(48π cm³)/(π(6 cm)²) = 144/36 cm = 4 cm

The height of the cone is 4 cm.

__

8. The volume of the cone with the given dimensions is ...

  V = 1/3π(4 cm)²(11 cm) = 176/3π cm³ ≈ 184.307 cm³

The number of times this volume can be filled by 10 gallons is ...

  (10 gal)(3785 cm³/gal)/(184.307 cm³/cup) = 205.3 cups

206 paper cups are needed.

__

9. We know from the formula for the volume of a cone that it has the same volume as a cylinder 1/3 its height. The composite figure is equivalent to a cylinder with a height of ...

  3 cm +(12 cm)/3 = 7 cm

Then the volume is ...

  V = πr²h

  V = π(5 cm)²(7 cm) = 175π cm³

__

For this, we recognize that the triangle with sides h, 5, and 13 will be a 5-12-13 right triangle, so the height of the conical part of the figure is h=12 cm. If you haven't remembered that Pythagorean triple, you can find the height from the Pythagorean theorem:

  h² +5² = 13²

  h = √(169 -25) = √144 = 12

The similarity ratio of two similar triangles is equal to the ratio of their corresponding sides :

Similarity ratio = BA / GF = BC / GH = CA / HF

Similarity ratio = 18 / 9 = 14 / 7 = x / 6

x / 6 = 2

multiple sides by 6

6 × x / 6 = 6 × 2

simplification

x = 12

Answer:

$18.51

Step-by-step explanation:

23.42×.21= 4.91 then 23.42-4.91= your sale price which is $18.51

Answer:

8ml

Step-by-step explanation:

Answer:

A. Translation

Step-by-step explanation:

Given

Preimage

[tex]J = (-6,9)[/tex]

[tex]K = (-6,4)[/tex]

[tex]L = (-3,4)[/tex]

Image

[tex]J' = (2,9)[/tex]

[tex]K' = (2,4)[/tex]

[tex]L' = (5,4)[/tex]

Required

Which transformation occurred

The transformation that occurs is translation because each of the preimage were translated or shifter right by 8 units.

The rule applied here is:

[tex](x,y)=>(x+8,y)[/tex]

So, we have:

[tex]J = (-6,9)[/tex] [tex]==> (-6+8,9) = (2,9)[/tex]

[tex]K = (-6,4)[/tex] [tex]==> (-6+8,4) = (2,4)[/tex]

[tex]L = (-3,4)[/tex] [tex]==> (-3+8,4) = (5,4)[/tex]

Hence, the transformation is (a) Translation

Answer:

10 cats were at the shelter on wednesday

Step-by-step explanation:

Answer:

B) Approximately normal, with mean -0.05 and standard deviation 0.083

Step-by-step explanation:

The correct answer is (B). The shape is approximately normal since the expected number of makes and misses for both Daren and Josh are all greater than 10.

The distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083

For large enough sample, let the population proportion of a quantity be denoted by random variable [tex]p[/tex]

Then, we get:

[tex]p \sim N(\hat{p}, \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}})[/tex]

where

Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:

[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]

And if

[tex]X = X_1 + X_2 + \cdots + X_n[/tex]

Then, its distribution is given as:

[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]

Here, we're specified that:

For proportion of correct free throw attempts by Daren:

For proportion of correct free throw attempts by Josh:

And therefore, we have:

[tex]p_D \sim N\left (0.75, \sqrt{\dfrac{0.75 \times 0.25}{50}}\right )\\\\p_J \sim N\left (0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex]

And therefore, we get:

[tex]-p_J \sim N\left (-0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex] (standard deviation doesn't get affected by change of sign of the considered random variable, and mean gets affected linearly, so mean became negative 0.80 and standard deviation stays same).

Adding [tex]p_D[/tex] and [tex]-p_J[/tex], we get:

[tex]p_D + (-p_J) = p_D - p_j \sim N\left (0.75 -0.80, \sqrt{\dfrac{0.8 \times 0.2}{50} + \dfrac{0.75 \times 0.25}{50}}\right )\\\\p_D - p_J \sim N\left( -0.05, 0.0837\right)[/tex]

Thus, the distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083

Learn more about population proportion here:

https://brainly.com/question/7204089

Answer:

B. .1541

Step-by-step explanation:

Not sure why but the teacher answer key had this listed, came on here to see why