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zhuklara [117]
2 years ago
13

A company famous for its nacho-flavored corn chips has developed two new formulas, A and B, which they hope their customers will

like even more than the original formula. To determine whether customers prefer one of the new formulas over the current nacho flavoring, a sample of 50 customers is obtained. Each customer tastes both formula A and formula B in a randomly assigned order and indicates which one they prefer more. Which of the following best describes this study?
This study is not well designed because there is no replication. Each customer tasted the formulas only once.

A

This study is not well designed because formulas A and B are not compared with the original formula.

B

This study is not well designed because the sample may not have been randomly selected.

C

This study is not well designed because each customer should taste the two new formulas in the same order.

D

This study is not well designed because there is not enough replication with only 50 customers.
Mathematics
1 answer:
kifflom [539]2 years ago
3 0

flavored nachos, so as to deliver it with proper mentioned reason.Hence,

Hence,  This study is not well designed because formulas A and B are not compared with the original formula.

Step-by-step explanation:

As mentioned above, the cmpany needs to check the new upcoming flavors of nachos i.e., A and B and is said that it should meeet the requirement of getting better from their regular ones as well. For this, the company must release the two new nachos flavors A and B, irrespective of quantity and let the customers compare it with along the regular nachos.This demands for a fact that the 50 nachos been tasted should be compared with the regular flavored nachos so as to meet the demand getting better than the usual ones. For this to happen,the above mentioned study describes it the best.

This is the correct explanation for the above question

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I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture. 

The hypotenuse is 9 cm. the angle is found by: 

the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60 

so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm. 

cos 60 = x/9 

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3 0
2 years ago
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Answer:

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3 0
2 years ago
Grace drew a triangle. It's sides were 12 mm, 10 mm, and 11 mm. It has one obtuse angle and two acute angles. What triangle did
Mariana [72]

Answer:

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Step-by-step explanation:

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4 0
2 years ago
In a class of 30 students (x+10) study algebra, (10x+3) study statistics, 4 study both algebra and statistics. 2x study only alg
Vladimir [108]

Answer:

1. The Venn diagrams are attached

2. When the statistics students number = 10·x + 3, we have;

The number of students that study

a. Algebra = 128/11

b. Statistic = 213/11

When the statistics students number = 2·x + 3, we have;

The number of students that study

a. Algebra = 16

b. Statistic = 15

Step-by-step explanation:

The parameters given are;

Total number of students = 30

Number of students that study algebra n(A) = x + 10

Number of students that study statistics n(B) = 10·x + 3

Number of student that study both algebra and statistics n(A∩B) = 4

Number of student that study only algebra n(A\B) = 2·x

Number of students that study neither algebra or statistics n(A∪B)' = 3

Therefore;

The number of students that study either algebra or statistics = n(A∪B)

From set theory we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 10·x + 3 - 4 = 27

11·x+13 = 27 + 4 = 31

11·x = 18

x = 18/11

The number of students that study

a. Algebra

n(A) = 18/11 + 10 = 128/11

b. Statistic

n(B) = 213/11

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 128/11 - 4 = 84/11

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 213/11 - 4 = 169/11

However, assuming n(B) = (2·x + 3), we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 2·x + 3 - 4 = 27

2·x+3 + x + 10= 27 + 4 = 31

3·x = 18

x = 6

Therefore, the number of students that study

a. Algebra

n(A) = 16

b. Statistics

n(B) = 15

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 16 - 4 = 12

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 15 - 4 = 11

The Venn diagrams can be presented as follows;

6 0
2 years ago
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Alika [10]
<h3>There are 96 roses altogether</h3>

<em><u>Solution:</u></em>

Let "x" be the number of roses

From given,

<em><u>1/4 of the roses are red</u></em>

Red\ roses = \frac{1}{4} \times x\\\\Red\ roses = \frac{x}{4}

<em><u>1/3 of the remainder are yellow</u></em>

Remaining = x - \frac{x}{4}\\\\Remaining = \frac{3x}{4}

Therefore,

Yellow\ roses = \frac{1}{3} \times \frac{3x}{4}\\\\Yellow\ roses = \frac{x}{4}

<em><u>Rest are pink</u></em>

Remaining = \frac{3x}{4} - \frac{x}{4}\\\\Remaining = \frac{2x}{4}\\\\Remaining = \frac{x}{2}

Therefore,

Pink\ Roses = \frac{x}{2}

There are 24 more pink roses than red roses

Therefore,

Number of pink roses = 24 + red roses

\frac{x}{2} = 24 + \frac{x}{4}\\\\\frac{x}{2} -  \frac{x}{4} = 24\\\\\frac{x}{4} = 24\\\\x = 24 \times 4\\\\x = 96

Thus there are 96 roses altogether

7 0
2 years ago
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