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tigry1 [53]
3 years ago
7

Grandma Gertrude’s Chocolates, a family owned business, has an opportunity to supply its product for distribution through a larg

e 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%
Mathematics
1 answer:
masya89 [10]3 years ago
4 0

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 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.6991

The margin of error is:

M = T\frac{s}{\sqrt{n}}

Sample of 30, standard deviation of 2%.

Then

M = T\frac{s}{\sqrt{n}} = 1.6991\frac{2}{\sqrt{30}} = 0.62

0.62%, so option c.

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Which of the following are equations for the line shown below? Check all that apply.
Nuetrik [128]

Answer: D. y+4=(x+2)

Step-by-step explanation: Once you subtract 4 from both sides, in order to solve for y (as the equation needs to be in the slope-intercept form, otherwise known as y=mx+b), you end up with y=x-2, which is the right answer. It is the correct answer because the y-intecept shown in the equation matches what is on the graph, in addition to the fact that the slope is just x.

4 0
3 years ago
Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or tha
myrzilka [38]

The measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.

<h3>What is a right-angle triangle?</h3>

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The question is incomplete:

The complete question is:

Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or that is man-made). Use a ruler or measuring tape to measure the two sides that make the right angle and measure the distance from the end of one side to the end of the other side (hypotenuse). Draw a diagram of the object including the measurements. Use your leg measurements on your diagram to calculate a theoretical hypotenuse. (Show all steps).

  • Does the hypotenuse that measured with a ruler/measuring tape equal the hypotenuse you calculated?
  • Why do you think they are or are not exactly the same?
  • What did you learn from developing this presentation?

We are assuming the length of one side x:

x = 18 cm

Length of other side y:

y = 15 cm

And length of the hypotenuse z:

z = 23.5 cm

From the Pythagoras theorem:

z² = x² + y²

z² = 18² + 15²

z² = 549

z = √54 = 23.43 cm

The measure of hypotenuse is:

Using ruler: x = 25.5 cm

Using formula: x = 23.43 cm

They are not equal due to the reading in the ruler.

The formula can be used to in the real life problems as well.

Thus, the measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ1

8 0
2 years ago
Which proportion can you use to find the value of a?
Ugo [173]

<u>Given</u>:

The given triangle is a similar triangle.

The length of the hypotenuse is 18 units.

The length of the leg is a.

The length of the part of the hypotenuse is 16 units.

We need to determine the proportion used to find the value of a.

<u>Proportion to find the value of a:</u>

We shall find the proportion to determine the value of a using the geometric mean leg rule.

Applying the leg rule, we have;

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

Substituting the values of hypotenuse, leg and part, we get;

\frac{18}{a}=\frac{a}{16}

Thus, the proportion used to find the value of a is \frac{18}{a}=\frac{a}{16}

Hence, Option D is the correct answer.

6 0
3 years ago
The area of a shape is 100cm2 what is the area if the shape is dialated with a scale factor of 1/5
Sveta_85 [38]

Answer:

20cm squared

Step-by-step explanation:

8 0
3 years ago
What is (4.25-1.75) divided by 25=
vichka [17]
4.25-1.75= 2.5

2.5/25= 0.1

The final answer is 0.1
8 0
2 years ago
Read 2 more answers
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