Grandma Gertrude’s Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. In order to determine the mean % cacao in its dark chocolate products, quality inspectors sample 30 pieces. They find a sample mean of 4% with a standard deviation of 2%. What is the margin of error at 90% confidence?
a. 1.49%
b. 1.24%
c. 0.62%
d. 0.75%
e. 1.36%

Answers

Answer 1

Answer:

c. 0.62%

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 30 - 1 = 29

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 29degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.6991

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

Sample of 30, standard deviation of 2%.

Then

[tex]M = T\frac{s}{\sqrt{n}} = 1.6991\frac{2}{\sqrt{30}} = 0.62[/tex]

0.62%, so option c.


Related Questions

What is the radius of a sphere with a volume of 3675 m^3, to the nearest tenth of a meter?

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Answer:

9.57m

Step-by-step explanation:

Answer:

Other person's wrong, I tried their answer. It's actually 9.6. They would've been right but they rounded to the nearest HUNDREDTH. Not tenth.

Graph the inverse of the line provided on the graph. (just say where I should put the 2 dots)

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should be (0,-5) and (2,5)

Please give the rigbt answer ill give brainliest

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16 is the answer I know I’m late but i hope this helps someone
Seems someone has answered but if it helps I’d agree that 16 is the answer ☺️

Find the mean absolute deviation (MAD) of the data in the pictograph below. home runs - 1 home run Home runs hit by each team in a baseball league​

Answers

The mean absolute deviation of the data in the image given is: 1.5.

What is the Mean Absolute Deviation?

The mean absolute deviation can be described as the average distance between each data value of a data set and its mean.

Thus:

Let's find the average of the data set:

Each data in the data set are 7, 2, 4, 3.

Mean = (7 + 2 + 4 + 3)/4

Mean = 4

Therefore:

Mean absolute deviation = (|x1 - mean| + |x2 - mean| + ...)/N

(|x1 - mean| + |x2 - mean| +...) = (|7 - 4| + |2 - 4| + |4 - 4| + |3 - 4|) = 6

N = 4

Thus:

Mean absolute deviation = 6/4 = 1.5

Therefore, the mean absolute deviation of the data in the image given is: 1.5.

Learn more about mean absolute deviation on:

https://brainly.com/question/17381861

Answer:

1.5 i did it on khan

Step-by-step explanation:

PLEASE HELP IM DESPERATE

Answers

Answer:

20

Step-by-step explanation:

You can write the equation x+(3x+1)+(x-11)=90 and then isolate x

x+(3x+1)+(x-11)=90

5x-10=90 (combine like terms)

5x-10+10=90+10 (add 10, addition property of equality)

5x=100

5x/5=100/5 (divide by five, division property of equality)

x=20

A row of plaques covers 252 square feet of space along a wall. If the plaques are 6 feet tall, what length of the wall do they cover?

Answers

Answer:

yeah boy

Step-by-step explanation:

They cover 252

they cover up the wall

42 feet ugycucuvuvchcycvyyv

Which equation represents a function of x that is not linear?

Answers

Answer:

y = 4x+3x^2

Step-by-step explanation:

For an equation to be linear, x must have a power of 1

y = 4x+3x^2 has a power of x that is not x  ( x^2) so this is not linear  ( it is quadratic)

f(x)=3x+4 and g(x) 4x^(2)-x
Find f(-5) and g(-2)

Answers

f(-5)=3(-5)+4=-11
g(-2)=4(-2)^2+2=18

f(x) = x3 + 6x2 – x


f(x) = 30?

Answers

Answer and Step-by-step explanation:

The answer is 2 (which is equal to x).

If you were to plug 2 in to the function, the result if 30.

[tex]x^{3}+ 6x^{2} -x\\\\\\\\(2)^3+6(2)^2 - 2 = 30 = f(2)[/tex]

#teamtrees #PAW (Plant And Water)

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Mira inserts a key into a keyhole to open the door. She turns the key through 156 one-degree angles.

What is the angle measure of the turn that the key made?

Answers

9514 1404 393

Answer:

  156°   or   13π/15 radians

Step-by-step explanation:

156 times 1° is 156°.

In radians, the angle measure is (156°)(π/180°) = 13π/15 radians.

1. Which equation should be used to find the area of the triangle below? *
1 point
5 inches
-5 inches
2 inches

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

Expression for area of triangle

This is calculated using

[tex]Area = \frac{1}{2} * base * height[/tex]

Assume that:

[tex]base = 5cm; height = 2cm[/tex]

The equation becomes

[tex]Area = \frac{1}{2} * 5* 2[/tex]

PLS HELP! The question is down below!

Answers

The answer will be option D. -6

How is the product of 2 and -5 shown on a number line? ​

Answers

Answer:

C

Step-by-step explanation:

because it is two sets of -5

Answer:

4th option as it's 2 × -5

so we'll jump -5 from zero 2 times and end up at - 10

please help. is due today. Thank you​

Answers

I hope that helps! Good luck

The measures of the first and second angles in a triangle are equal.The third angle measures 9 times the sum of the equal angles. Find the measurements of the three angles

Answers

9514 1404 393

Answer:

  9°, 9°, 162°

Step-by-step explanation:

Let x represent the measure of the first angle. Then the sum of all of the angles in the triangle is ...

  x + x + 9(x+x) = 180°

  20x = 180° . . . . . . . . . . collect terms

  x = 180°/20 = 9° . . . . . divide by 20

  9(x+x) = 162° . . . . . . . find the third angle

The three angle measures are 9°, 9°, and 162°.

sam ran 63,756 feet in 7 hours. what is sam's miles per hour

Answers

Answer:

1.725 mph

There are 5280 feet in a mile, so you divide by that and get 12.075. Since it's seven hours, you divide by 7 and get 1.725.

Answer: 9108

Step-by-step explanation: To solve ur problem u hsd to do 63756 divided by 7 to find out how much sam ran per hour. I hope it helps u! ItzofficallySriSri signing off!

PLEASE HELP 15 POINTS,

It is now time to complete the Utilities Discussion. Research the cost of some sort of household bill. Examples are natural gas, electricity, water, etc. Find one that models a linear function and write a function to represent the cost of this utility.

Explain how you found your information and wrote your function. Be sure to define your variables, use function notation.

Answers

Step-by-step explanation:

I take gas consumption as example.

Consider the followings,

Let M be the gas meter reading per month

A be the fuel adjustment fee

B be monthly maintenance fee

Y be unit cost per Joule

Let X be monthly bill

( 1 meter reading unit = 48 unit of Joule )

Monthly bill payment :

X = Mx48xY + A + B

in function notation, the monthly bill is f(M, Y, A, C)

which statement is true about theese triangles is true?

A)There are exactly three acute triangles

B)There are exactly three isosceles triangles

C)There are exactly three right triangles

D)There are exactly three scalene triangles ​

Answers

Answer:

D is the answer. because their are three scalene triangles

Answer:

D)There are exactly three scalene triangles

Step-by-step explanation:

Freddy wants an average grade of 93 from his four algebra exams. The scores for his first three exams are 94, 89, and 96. What grade would Freddy need to earn on his fourth exam to have an average grade of 93?

Answers

He would need a 93% on his fourth exam.

94+89+96+93= 372, 372 divided by 4= 93

pls help on number 2!!

Answers

Answer:

Step-by-step explanation:

the given figure is rectangle

area of rectangle=l*b

=5*6

=30 ft^2

Answer:

Area = 30 ft²

Step-by-step explanation:

This figure is a rectangle, therefore;

Area of a rectangle = B*W

A = 5*6

A = 30

Therefore the area of the given rectangle is 30 ft²

Hope this helps!

A cuboid with a volume of 924 cm^3 has dimensions
4 cm, (x + 1) cm and (x + 11) cm.
Find the longest length of the Cuboid.

Answers

Answer:

21

Step-by-step explanation:

Volume of a cuboid is given by

V = l*w*h

924 = 4 (x+1) (x+11)

FOIL

924 = 4(x^2 +11x+x+11)

924 = 4(x^2+12x+11)

Divide each side by 4

231 = (x^2+12x+11)

Subtract 231 from each side

0 = x^2 +12x +11-231

0 = x^2 +12x - 220

Factor

0 = (x+22) (x-10)

Using the zero product property

x+22 =0  x-10 =0

x=-22  x=10

We cannot have a negative length

x=10

The side lengths are 4, 10+1, 10+11

4,11,21

The longest is 21

PLEASE HELP I WILL GIVE THE BRAINLIEST ANSWER FAST

second attachment has the diagram

Answers

Answer: B and E apply. I know for sure.

Which question will give data that has a measure of center and variation?

Answers

Is there a pic ? I’m

Melissa got 18 out of 20 on a math quiz. Tom got 85% on the quiz. Whose mark was greater? (Show all of your proof

Answers

Answer:

Melissa

Step-by-step explanation:

Melissa: 18/20

Tom: 85/100

Find the common denomenater so multiply 18*5 and 20*5

Melissa: 95/100

95>85

Melissa has the greater mark

Find the circumference of the given circle given a diameter of 9 in
use 3.14

Answers

Answer:

28.26

Step-by-step explanation:

Circumference= 2 pi x r

Diameter= 9 (double the radius)

Radius= 4.5

Pi= 3.14

2 x 3.14= 6.28

6.28 x 3.14= 28.26

:D

28.6

look up the circumference formula, and then plug the numbers in

remember radius is diameter divided by 2

A train traveled for T = 2.0 hours at a constant speed of R = 36 miles per hour. Use the formula D = R · T to find the total distance the train traveled (in miles). Do not include the units in your answer.

Answers

Answer:  T=1700

Step-by-step explanation:

Please show work. What is the volume of the figure?

Answers

Answer:

Volume = 288 in.³

Step-by-step explanation:

Volume of the solid = volume of the cube + volume of the square pyramid

V = a³ + ⅓*a²*h

a = 6 in.

h = 12 - 6 = 6 in.

Plug in the values into the volume formula

Volume = 6³ + ⅓*6²*6

Volume = 216 + 72

Volume = 288 in.³

1. The equation y = x + 5 shows the total dollar amount, y, Jason receives in a week by completing x chores.

2. The equation y = 15x shows the total miles, y, Bree travels riding her bike x hours.

3. The equation y = 6x represents the total miles Kayla runs in x hours.

PLEASE HELP

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

The three equations

Required

Label the x and y-axes

The general rule is to place the independent variable (x) on the x-axis and the dependent (y) on the y-axis.

What x and y represented are always stated after writing the equation.

So, we have:

[tex](a)\ y = x + 5[/tex]

[tex]x \to[/tex] Number of chores

[tex]y \to[/tex]Amount

[tex](b)\ y =15x[/tex]

[tex]x \to[/tex] Time (hours)

[tex]y \to[/tex]Miles traveled

[tex](c)\ y = 6x[/tex]

[tex]x \to[/tex] Time (hours)

[tex]y \to[/tex]Miles traveled

I need help with this please

Answers

Answer:

B) 9x² + 6x + 1

Step-by-step explanation:

use the FOIL method:

(3x + 1)(3x + 1)

F:  3x(3x) = 9x²

O:  3x(1) = 3x

I:  3x(1) = 3x

L:  1(1) = 1

combine the 'like terms' in the middle to get 6x

answer: 9x² + 6x + 1

Answer:

the answer is B. 9x^2 + 6x+1

Help with both of these please!​

Answers

1.) down three to the right three
2.) turn to the right 2, flip, down 2
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