**A garden in the shape of a square has an area of 13 square feet. Each side of the garden has a length of √13 feet. Which of the following is the best decimal approximation for the length of each side?**

4.5 feet

6.5 feet

3.6 feet

2.6 feet

*Correct Answer : C*

In this problem, to find one side of the square garden, we use the calculator to find the square root of 13. Thus

Thus, the approximate side of a square garden is about 3.6 ft

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Related Questions

### Correct Answer is D

#### Explanation

We convert the given weight in pounds to ounces and find total weight. 1 pound=16 ounces, which we interpret as

Or

Use the second option to convert pounds to ounces

Now, we can ounces to ounces as: 48 oz + 5 oz= 53 oz

Therefore, 3 pounds, 5 ounces is equal to 53 oz

### Correct Answer is D

#### Explanation

We solve the problem by first finding the amount of gallons needed for the whole trip then find the cost of the gallon.

The car uses 1 gallon to cover 25 miles, which is same as:

Now, in 3000 miles, the car will use how many gallons of gasoline?

A trip of 3000 miles will need 120 gallons. And to find the cost of 120 gallons, we proceed as follows:

The family will spend $199.20 to drive for 3000 miles.

### Correct Answer is D

#### Explanation

To answer this question, we need to observe the trend of the number of days with dollars. On day 2, the dollars were 8, after 5 days, the dollars decreased to 3, after 13 days, the dollars increased to 10. After 14 days, the dollars declined to 6 and again rose to 16 dollars after 19 days.

From this observation, we cannot be able to establishany correlation between days and dollars.

### Correct Answer is A

#### Explanation

From the given problem,

49.5 pounds of fertilizer is needed to farm 1 acre of land. This can be interpreted as:

Or

Now we are needed to find the acres of land that will be farmed using 2000 pounds of fertilizers. To solve this, we use the second option as follows:

2000 pounds of fertilizers can farm approximately 40 acres of land.

### Correct Answer is D

#### Explanation

The mean is the total divided by the number of elements in the data set. From the given data set:

Total=30+29+28+30+24+12+26+33+25+23=260

Number of items, N=10

Mean=total/N=260/10=26

The mean is 26.

### Correct Answer is B

#### Explanation

we are asked to change 400 mg to g. We use the conversion 1g=1000mg, which we can write as:

So, 400 mg to g becomes

### Correct Answer is A

#### Explanation

We need to find the length of the rectangle from the given area and width of the rectangle. Let L be length if the rectangle. Then,

Area of rectangle=Length*width

Substituting area=32 in2 and w=4 inches

32=L*4

32=4L

Divide both sides by 4

32/4=4L/4

8=L

The length of the rectangle is 8 inches.

### Correct Answer is B

#### Explanation

The median temperature can be found by organizing the temperature values from the smallest to the largest value as follows:

98.6, 98.7, 99.0, 99.0,99.2, 99.3, 99.7, 100.0

### (for an even set of numbers, Median = frac{(frac{n}{2})th observation + (frac{n}{2} + 1) th observation}{2})

From the data set above, there are 8temperature values. The median is the temperature value in the middle position, which falls between the(frac{n}{2} th)and((frac{n}{2} + 1) th) position. Here N=8and median is found as:

(frac{(frac{n}{2})th + (frac{n}{2} + 1) th}{2} = )(frac{(frac{8}{2})th + (frac{8}{2} + 1) th }{2} = 4.5th position)

The element in the 4.5th position is the average of the 4th and 5th element.

(frac{99.0 + 99.2}{2} = 99.1)

Thus 99.1 is the median temperature.

### Correct Answer is A

#### Explanation

We are given a mix of fractions and decimals and to compare the numbers, we convert the given decimals to fractions.

4.4 becomes 44/10

4.25 becomes 425/100

Now the set of fractions for comparison are: 9/2, 10/3, 44/10, and 425/100. The least common denominator for 2, 3 and 10 is 300. Then,

9/2*300=1350

10/3*300=1000

44/10*300=1320

425/10*300=1275

From the above products, 9/2 gives the greatest value when the fractions are compared with the least common denominator of the given denominators.

### Correct Answer is B

#### 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 data. While a bar graph does just fine even with discrete data.

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