**A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. Which of the following is the estimated gratuity?**

$4.00

$6.00

$5.00

$7.00

*Correct Answer : B*

When dealing with percent problems, the following is utilized to find the unknown variable.

- Is means equals
- Of means multiply
- What means unknown (variable)

From the problem above, we are looking for the amount of gratuity the couple can leave.

Let t be the amount of gratuity. Translating into an equation, we have

The gratuity is 15% of the total bill, which becomes

Here, of means multiply and we also convert percent into decimal before multiplying.

So, the value of t=5.76

Thus, a couple will leave a gratuity of $5.76, which is about $6.00.

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Related Questions

### Correct Answer is B

#### Explanation

Since the distribution is symmetric, the mean, mode, and median will all be equal. The shape of the distribution will be **bell-shaped.**

### Correct Answer is D

#### Explanation

a ratio can be converted to a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.

From the given information, the class has 15 girls and 13 boys. Thus, the ratio of girls to boys becomes:

In ratio form, girls: boys=15:13

Thus, the ratio of girls to boys in a class of 28 students is 15 to 13.

### Correct Answer is A

#### Explanation

The initial step is to establish the relationship between area of a circle and the radius. The area of the circle is given by the formula

Now, substituting the 49* **Ï€**Â in2 *in place of A in the equation above becomes:

We want to find r, therefore, we rearrange the equation as

Divide both sides by

Take square root both sides of the equation

The radius of the circle is 7 in, and the circumference of the circle is determined as follows

Substituting the value of r=7 becomes

Thus, the circumference of a circle whose area is 49* **Â in2* is 14* **Â
*

*
*

### Correct Answer is C

#### Explanation

to convert fraction to percent, we multiply the fraction with 100. Therefore, the percent equivalent of 5/8 is

Thus, 5/8 is equal to 62.5%.

### Correct Answer is C

#### Explanation

To find the true statement we need to analyze the given statements.

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. 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 true.

### Correct Answer is D

#### 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

### Correct Answer is C

#### Explanation

the median of a data set is the element that is found on the middle position. It is found by organizing the elements from the smallest to largest.

The data set above arranged from the smallest to largest is:

11, 12, 12, 12, 13, 14, 17, 17, 18, 22, 26

The number of elements is odd and the median is found in the (N+1)/2 th position. Here N=11, and the median falls in (11+1)/2=12/2=6 th position.

The element 14 falls in the 6th position, which is our median of the given data set.

### Correct Answer is C

#### Explanation

scatter plots can of three types: positive, negative and no correlation. A positive correlation scatter plot shows that as one variable increase, the other variable increases. A positive correlation can be visually depicted below.

In a negative correlation, the change in one variable is inversely proportional to another variable. That is, as one variable increases, the other variable decreases as shown below.

The third type of scatter plot is a no-correlation scatter plot. In this type of plot, there is no defined relationship between one variable and another one as in the curve below.

If we look at the relationship between the time the student listens to music and his test score, it is evident that no relationship exists between the two variables. Thus, this is a type of **no correlation** scatter plot.

### Correct Answer is A

#### Explanation

from the given estimations, we can find the actual addition of the numbers and see a trend the student utilizes to find their estimates. The exact sum is as follows

24+190*=*214

151+319*=*470

974+1022*=*1996

From the above evaluation, we can clearly see the students approximates the value in the ones values. So, in the problem we need to approximate 452+5017.

452+5017=5469

We can approximate 5469 based on the provided choices to 5470.

### Correct Answer is D

#### Explanation

The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. We label the triangle from the given data as shown below

Â Let the unknown length be x.

Applying the Pythagoras theorem, the value of x is found as:

The unknown length of the triangle is approximately 8.9 feet.

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