spiral review (6.g.2, 6.sp.4, 6.sp.5c)\n3. a rectangular fish tank is 20 inches long, 12 inches wide, and 20…

spiral review (6.g.2, 6.sp.4, 6.sp.5c)\n3. a rectangular fish tank is 20 inches long, 12 inches wide, and 20 inches tall. if the tank is filled halfway with water, how much water is in the tank?\n4. look at the histogram below. how many students scored an 81 or higher on the math test?\n5. the little league coach uses a radar gun to measure the speed of several of kyle’s baseball pitches. the speeds, in miles per hour, are 52, 48, 63, 47, 47. what is the median of kyle’s pitch speeds?\nmath test scores\nfrequency\n14\n12\n10\n8\n6\n4\n2\n0\n61 - 70 71 - 80 81 - 90 91 - 100\nnumber of students

Answer

3.

Explanation:

Step1: Find the volume formula for a rectangular - prism

The volume of a rectangular prism is $V = l\times w\times h$, where $l = 20$ inches, $w = 12$ inches, and $h = 20$ inches.

Step2: Calculate the full - volume of the fish tank

$V=20\times12\times20=4800$ cubic inches.

Step3: Calculate the volume of water

Since the tank is filled halfway, the volume of water $V_{water}=\frac{1}{2}\times V$. So $V_{water}=\frac{1}{2}\times4800 = 2400$ cubic inches.

Answer:

2400 cubic inches

4.

Explanation:

Step1: Identify the relevant intervals in the histogram

The intervals for scores 81 or higher are 81 - 90 and 91 - 100.

Step2: Read the frequencies from the histogram

The frequency for the 81 - 90 interval is 10, and the frequency for the 91 - 100 interval is 4.

Step3: Calculate the total number of students

Add the frequencies: $10 + 4=14$.

Answer:

5.

Explanation:

Step1: Arrange the data in ascending order

The data set is $47,47,48,52,63$.

Step2: Find the median

For a data set with $n = 5$ (odd number of data points), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{5+1}{2}=3$-rd value. The 3 - rd value in the ordered data set is 48.