**Which of the following is the best approximation of 10 times the positive square root of 20?**

100.0

44.7

200.0

89.4

*Correct Answer : B*

We use the calculator to determine the positive square root of 20, which is then multiplied by 20.

Using the calculator,

Multiplying the square root above with 10 becomes

The approximate value is 44.7.

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Related Questions

### Correct Answer is A

#### Explanation

We follow the order of operations to solve the given expression.

First, we start with the numerator and solve it as follows

[2(3+5*3)]

We start with multiplication in inner brackets, 5*3=15. The expression becomes

[2(3+15)]

Then, we conduct the addition of 3+15=18. Then, the expression yields

[2(18)]=2*18=36

Now, we solve for denominator, which is 12/2=6.

Thus, the expression is reduced into

The expression reduces into 6.

### Correct Answer is C

#### Explanation

We are asked to make x the subject of the formula.

First, we add z to both sides of the equation

Multiply both sides by y

The above equation can be rearranged into

Thus, the formula for finding the value of x is y(z+rw).

### Correct Answer is C

#### Explanation

We are asked to find the one of the lengths of a right-angled triangle, we use the Pythagoras theorem to find the unknown length.

First, we label the triangle as below and let the unknown length be x.

Then, we apply the Pythagoras theorem to find the value of x as:

The value of the unknown length is approximately 8.9 feet.

### Correct Answer is D

#### Explanation

The best way to display the frequency of each day of the week when students get up after 8 a.m. is by using **a bar graph**. Bar graphs are well-suited for representing categorical data, where each day of the week is a separate category, and the height of each bar corresponds to the count or frequency of students waking up late on that specific day.

Note: Histograms, on the other hand, are more appropriate for visualizing continuous or numerical data and are not ideal for categorical data like days of the week.Histograms are useful for **understanding the distribution of data**,** identifying patterns**, and **assessing the shape of the data distribution**, such as whether it's normally distributed, skewed, or has multiple modes.

As you can see below, the Histogram is used to depict a pattern/continuous/rangedata. While a bar graph does just fine even with discrete data.

### Correct Answer is D

#### Explanation

We are asked to find the number of students enrolled in the respiratory care program using the percentages in the pie chart.

If we let x represent the number of students enrolled in the respiratory care program, we can set a proportion equation with number of students on the numerator and percentages on the denominator. The whole pie chart represents 100%, which is 800 students. Then, 19% will represent

We solve the value of x by cross-multiplying the equation above.

So, 152 students will enroll for a respiratory care program.

### Correct Answer is C

#### Explanation

An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, t is an independent variable, which when changed changes the values of the f(t).

### Correct Answer is C

#### Explanation

We need to find the price changes in each day of the week in order to find the price of the stock on Thursday.

Monday’s price was $50.33

Tuesday’s price went up by $2.35 from Monday’s price. The price was $(50.33+2.35)=$52.68

Wednesday’s price decreased by $1.07 from Tuesday’s price, and so the price of the stock was $(52.68-1.07)=$51.61

Thursday’s price increased by $0.75 from Wednesday’s price, which was $(51.61+0.75)=$52.36

Therefore, the price of the stock on Thursday was $52.36.

### Correct Answer is A

#### Explanation

What fraction of the pizza the other three friends get is what is asked to find.

First, the pizza is whole, representing a value of 1. Then, one friend ate half of the pizza. Thun, the fraction of the pizza the friend gets is:

First friend eats =1/2 of 1=1/2

Remaining fraction of the pizza=1-1/2=1/2

Now, the three friends share Â½ amongst themselves equally. Then, each friend gets

The three friends each gets 1/6 of the pizza.

### Correct Answer is A

#### Explanation

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

Total test scores =100+78+47+84+93+78=480

Number of tests =6

Mean test score =480/6=80

The mean test score is 80.

### Correct Answer is B

#### Explanation

By inspection, we find the corresponding values of the given denominations in the following manner.

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