As noted in an earlier chapter, Mars Inc. says that until very recently yellow candies made up 20% of its milk chocolate M&M’s, red another 20%, and orange, blue, and green 10% each. The rest are brown. On his way home from work the day he was writing these exercises, one of the authors bought a bag of plain M&M’s. He got 29 yellow ones, 23 red, 12 orange, 14 blue, 8 green, and 20 brown. Is this sample consistent with the company’s stated proportions? Test an appropriate hypothesis and state your conclusio

Answer:

2/1 or 2

Step-by-step explanation:

m(slope)= y2-y1/ x2-x1

i hope this helps

Answer:

c. She has more money in the subcategories than she budgeted for the main category

Explanation:

First, let's check the budget she set for the main category:

We are given that Maureen has net spendable income of $2,100.

The minimum amount she budgeted for transportation is 15% which can be calculated as follows:

Minimum budget for transportation = 15% * 2,100 = 0.15 * 2,100 = $315

Then, let's check her subcategories:

$150 for car payments, $120 for gas/oil, $60 for insurance, $2 for licence/registration, $5 taxes and $50 for maintenance/repair

This means that:

Minimum amount she will spend = 150 + 120 + 60 + 2 + 5 + 50 = $387

Now, let's compare:

Minimum budget set by Maureen is $315

Minimum amount she needs to spend on subcategories is $387

It is obvious that the minimum amount she needs is higher than the minimum budget she set for transportation, i.e., she has more money in subcategories than she budgeted in the main category.

This means that she needs either to increase her minimum budget for transportation or to lower the minimum amount she needs to spend.

Hope this helps :)

Answer:

Option C is correct.

Step-by-step explanation:

Given information is :

Net monthly spendable income = $2100

Transportation budget set up = $350 that lies between 15 to 20 percent of the net spendable.

Now adding her subcategories budget we get:

But Maureen has set $350 for this category. It clearly shows that the subcategories have more budget. So, either Maureen can increase her main category budget(this option is not given) or she can cut few of her subcategory budget to fall under $350.

Hence, Option c: She has more money in the subcategories than she budgeted for in the main category - is correct.

Answer:

36 grams

Step-by-step explanation:

To do this, you first convert 15% into a decimal.

15% = 0.15.

Next, all you have to do is multiply 0.15 * 240 = 36 grams

Answer:

36 grams

Step-by-step explanation:

15 percent means .15. When you multiply .15 and 240, you get 36. So its 36 grams.

The ratio of the numbers is 5 : 3 and the numbers are 10 and 6.

Given data:

The first number is x and the second number is y.

The ratio of the two numbers is 5 to 3, which can be expressed as x/y = 5/3.

The sum of the numbers is 16, which can be expressed as x + y = 16.

From the ratio x/y = 5/3:

3x = 5y (equation 1)

From the sum x + y = 16:

x = 16 - y (equation 2)

Now , substitute equation 2 into equation 1 to solve for y:

3(16 - y) = 5y

48 - 3y = 5y

48 = 8y

y = 48/8

y = 6

Substituting the value of y back into equation 2:

x = 16 - y

x = 16 - 6

x = 10

Hence, the numbers are x = 10 and y = 6.

To learn more about proportion click :

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