A bag contains six green balls, eight red balls, and three yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is green?

Here, we are required to find the unit of measuring mass. The SI unit of mass is kilogram but other derived units are grams, milligrams, microgram and more.

A kilogram is a large quantity for measuring heavier objects but grams can used to measure small and light objects such as the mass of the mobile phone. Therefore, gram is the appropriate unit for measuring weight of a mobile phone.

To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then

Width of the rectangle= w

Length of rectangle=(w+5)

Area of the rectangle, A= Length*width=(w+5)*w

A=w(w+5)

Thus, the area of the rectangular room is w(w+5).

Based on the given scenario, the outcome of measuring the daily dollar rate is the decline in investment, stock prices, and forex exchange. The three outcomes are dependent variables while the dollar rate is the independent variable.

We are asked to find the number of cups of flour that will be used to make 90 cookies.

First, we convert 2 ¼ into improper fraction as:

Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:

Solve the value of x by cross-products

Dividing both sides by 60, the above equation result to

Thus, the number of cups of flour needed to make 90 cookies is 81/16 cups, which is equal to 5 1/16 cups.

A dependent variable is one that depends on the independent variable. An independent variable is one that when changed result in a change of another variable.

In this problem, if we change the brand of laptop, tax rate, and memory size, the price of the laptop changes. Thus, the cost of the laptop is the dependent variable.

We are tasked to find the stock price on Thursday from the given information. Here, we need to find the stock of each day from the price increase or decrease. If the price increases, we add to the previous day’s price and subtract if the price decreases.

Monday’s stock price=$65.50

Tuesday’s stock price is Monday’s plus $1.50=65.50+1.50=$67.00

Wednesday’s stock price went down by $2.57 from Tuesday’s=67.00-2.57=$64.43

Thursday’s stock price went up by $2.25 from Wednesday’s =64.43+2.25=$66.68

From the above evaluation, the stock price on Thursday was $66.68

We use the relation 1 L=1000 mL to convert L to mL.

The two options for converting between L and mL are

And

We use the first option to convert 6.5 L to mL as follows:

Thus, 6.5 L is 6500 mL.

The mean of a data set is the sum of all scores divided by the number of tests.

Total test scores = 83+86+76+88+97 = 430

Number of tests = 5

Mean test score = 430/5 = 86

The mean test score is 86.

The number of cups of milk to make a bigger batch, we proceed as follows:

First convert the mixed number 1 2/5 as

Then, we let the unknown number of cups of milk to be x and we set a proportion equation with number cups of floor as numerator and cups of milk as denominator

Find the value of x by cross-products

2 as a fraction is 2/1 which is then used to find the product of the numerator as follows.

Per means division. The above equation becomes

When dividing fractions, we multiply the first fraction with the reciprocal of the second. The reciprocal of 2/9 is 9/2. Thus

The numbers of cups of milk required is 63/5, which when converted to mixed fraction becomes 12 3/5.

The probability of finding a green ball is given by

Total number of balls in the bag=6+8+3=17 balls

Therefore, the probability of drawing a green ball from the bag containing 17 balls is 6/17.