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oksano4ka [1.4K]
3 years ago
15

A researcher asks participants to taste each of three meals and to choose the one they like best. The same foods are in each mea

l, however the calorie total of each meal is different. One is low in calories, one is moderate in calories and one is high in calories. Based on the observed frequencies given below, what is an appropriate conclusion for this test at a .05 level of significance?
Type of Meal
Low Calorie Moderate Calorie High Calorie
fo 6 7 17
fe 10 10 10

A. Participants liked the high calorie meal more than the low calorie meal.
B. Participants liked the low calorie meal less than the moderate calorie meal.
C. Participants liked the high calorie meal more than was expected.
D. All of the above
Mathematics
1 answer:
Margarita [4]3 years ago
3 0

Answer:

D. All of the above

Step-by-step explanation:

By the given data, some persons were in the experiment and each of them was given with three meals, Low Calorie, Moderate Calorie and High Calorie. They results for the meal they liked is as below:

Low Calorie Meal got likes = 6

Moderate Calorie Meal got likes = 7

High Calorie Meal got likes = 17

so,

Option A is correct as High Calorie meal got 17 likes while Low Calorie meal got 6 likes.

Option B is also correct as Low Calorie meal got 6 likes while Moderate Calorie meal got 7 likes.

Option C is correct too as High Calorie meal got largest number of likes even more than the double of Low calorie and Moderate calorie meal so it was more than expected.

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Find x, y and ab and how to check if the answer is right ​
iris [78.8K]

Answer:

  x = 2, y = -2, AB = 142

Step-by-step explanation:

The fact that X is the midpoint gives you two relations:

  AX = XB

  AX + XB = AB

Since you have two unknowns, this number of equations is sufficient to find their values. Substituting the given expressions in the above equations, you have ...

  • 8(3x+5) -3(y-7) -22x = 5x +y +23 -4(x-12)
  • 8(3x+5) -3(y-7) -22x + 5x +y +23 -4(x-12) = 2x -5y +128

Simplifying the first of these can make simplifying the second one easier.

  24x +40 -3y +21 -22x = 5x +y +23 -4x +48

  2x -3y +61 = x +y +71 . . . . . . we can use this simplification

  x -4y = 10 . . . . . . . . . . . . . . . . subtract x+y+61

Now, we can simplify the second equation to ...

  2x -3y +61 +x +y +71 = 2x -5y +128

  3x -2y +132 = 2x -5y +128 . . . . . simplify the left side

  x +3y = -4 . . . . . . . . . . . . . . . add -2x+5y-132

Then the two equations we need to solve are ...

  • x -4y = 10
  • x +3y = -4

Subtracting the second from the first, we get

  -7y = 14

  y = -2

Substituting into the first of these simplified equations, we get

  x -4(-2) = 10 . . . . substitute for y

  x +8 = 10 . . . . . . .evaluate

  x = 2 . . . . . . . . . .subtract 8

So, the solution is (x, y) = (2, -2).

Now, the values of AX and XB are ...

  AX = 2x -3y +61 = 2·2 -3(-2) +61 = 71

  XB = x+y+71 = 2 +(-2) +71 = 71 . . . . . . . . matches AX, a good sign

  AB = 2x -5y +128 = 2·2 -5(-2) +128 = 142 . . . . = AX+XB, another good sign

The desired values are x = 2, y = -2, AB = 142.

_____

You check the answer by filling the values into the expressions given in the problem statement and seeing if you get consistent results. Here, we used the simplified expressions, rather than the original expressions, so if we did the simplification wrong, we may have the wrong answer. It is always best to use the original equations. (A machine solver working with the original equations confirms our result, so "confidence is high.")

4 0
3 years ago
Can somebody help me?
nikdorinn [45]

Answer:

D

Step-by-step explanation:

3 0
3 years ago
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Triangle ABC is shown below.
inna [77]

Answer:

the answer is 14 C

Step-by-step explanation:

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3 0
3 years ago
John bought 18 pizzas. Mitchel bought 12 pizzas. What percent of the total number of pizzas Mitchel buy?
mina [271]

Answer: 40%

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7 0
3 years ago
a 16-ounce can of cashews cost $6.72. A 10 ounce can cost $4.50. Which can is better buy? How do you know
Nikitich [7]
16/6.72 = 2.38... ounces per dollar
10/4.5 = 2.222... ounces per dollar
The 16 ounce deal is better, as you get more ounces per dollar
3 0
3 years ago
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