As a company’s stocks increases, the production, sales, and investments also increase. Which of the following is the independent variable?
Sales
Stocks
production
investments
Correct Answer : B
An independent variable is a variable that when changed result in a change to other variables under investigation. From the given scenario, if the stock of the company increases, then the production, sales, and investment increase. Therefore, stock is the independent variable while other variables are dependent.
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Correct Answer is D
Explanation
: we are needed to find the portion of burger the two other friends share between themselves. A whole burger is 1, and we know that,
One friend=1/4 of 1=1/4*1=1/4
Remaining amount=1-1/4=4/4-1/4=3/4
Thus, ¾ of burger is left for two friends to share among themselves. Then, each friend will get
So, the other two friends will each get 3/8 of the burger.
Correct Answer is A
Explanation
In this scenario, we use the given chart and scale provided to find the number of each coin and select the right number of coins the student collected.
It is clear that the first choice if the correct answer. The child collected 250 pennies, 200 nickels, 125 dimes, and 25 quarters.
Correct Answer is D
Explanation
Here we need to find the actual values of the additions and see the trend the student will use to estimate the given problem. The exact sum is as follows
35+192=227
258+350=608
947+1032=1979
From the above calculations, it is evident that the student rounds up or down the ones place values. So, in the problem we need to approximate 694+7618.
694+7618=8312
We can approximate 8312 based on the provided choices is 8310.
Correct Answer is D
Explanation
Looking at the give curve, we analyze each statement as:
- For statement 1: the points per game decreased five times between 1996 and 2015. So, the statement is false.
- For statement 2: the lowest points scored per game was in 1998-99 season and not in 2003-04 season. So, the statement is false.
- For statement 3: 2008-09 was the season the chargers scored the greatest number of points per game. So, this statement is false.
- For statement 4: the two season which no change in the points were 2012-13 and 2013-14. So this is true according to given curve.
Correct Answer is D
Explanation
We need to find how many mL are in 5.5 teaspoons. We are told that 1 teaspoon is about 4.93 mL, which we interpret as follows:
     Â
Or
    Â
Since we are looking for mL, we use the second option.
    Â
Thus, 5.5 teaspoons can hold approximately 27 mL.
Correct Answer is B
Explanation
Histograms are used to present frequency of data of one variable over the other. On the other hand, a bar graph is used to compare the two variables with the rectangles not touching one another as in histograms. Scatter plots are used to show the correlations between two variables. In this case, the teacher will be able to use scatter plot to establish the correlation between test scores and the subjects.
Correct Answer is C
Explanation
We are needed to find the amount Jacob will be left with after spending and reinvesting the rest using the given information.
Amount Jacob spends=87% of $100=87/100*100=$87
Amount left to invest=$(100-87)=$13
Jacob is left with $13, which she invests and earns a profit of 75%.
Profit earned on invested amount=75% of $13=75/100*13=$9.75
So, Jacob will have $13+$9.75=$22.75
Correct Answer is A
Explanation
The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. Letting the unknown side to be x, the labelled rectangle becomes: The unknown length of the triangle is about 16.7 feet.
The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. Letting the unknown side to be x, the labelled rectangle becomes:
The unknown length of the triangle is about 16.7 feet.
Correct Answer is D
Explanation
The net income is the salary of the teacher gets after deducting total taxes.
Weekly net income=weekly gross income-total tax
Total tax=federal income tax+state income tax+Social Security tax
Total tax=$(72.00+35.00+65.00)
Total tax=$172.00
Weekly net income=$(730.00-172.00)=$558.00
The net income the teacher gets in 4 weeks is what she gets in one week multiplied by 4
     Â
The teacher will earn a net income of $2,232.00 in 4 weeks after taxes are deducted.
Correct Answer is A
Explanation
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a negative correlation
Option c is a negative correlation
Option d is a positive correlation
Thus, the correct statement is a.
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