beans and other legumes are a great source of protein. the following data give the protein - content of 30…

beans and other legumes are a great source of protein. the following data give the protein - content of 30 different varieties of beans, in grams per 100 grams of cooked beans.\n74 72 70 83 85 88 81\n86 82 81 83 80 73 80\n78 76 75 81 86 106 84 72 81\n70 75 135 83 86\na. make a stemplot of these data.\n7 | 01356778\n8 | 0112333799\n9 | 0012357\n10 | 6\n13 | 5\nb. what proportion of these bean varieties contain more than 9 grams of protein per 100 grams of cooked beans?\n3. here is a stemplot of the area of the 46 counties in south carolina. note that the area has been rounded to the nearest 10 square miles.\n3 | 999\n4 | 0116689\n5 | 01115566778\n6 | 47899\n7 | 01245579\n8 | 0011\n9 | 13\n10 | 8\n11 | 233\n12 | 2\nkey: 6|4 represents a county with an area of 635 to 644.99 square miles.\na. what is the area of the largest south carolina county?

beans and other legumes are a great source of protein. the following data give the protein - content of 30 different varieties of beans, in grams per 100 grams of cooked beans.\n74 72 70 83 85 88 81\n86 82 81 83 80 73 80\n78 76 75 81 86 106 84 72 81\n70 75 135 83 86\na. make a stemplot of these data.\n7 | 01356778\n8 | 0112333799\n9 | 0012357\n10 | 6\n13 | 5\nb. what proportion of these bean varieties contain more than 9 grams of protein per 100 grams of cooked beans?\n3. here is a stemplot of the area of the 46 counties in south carolina. note that the area has been rounded to the nearest 10 square miles.\n3 | 999\n4 | 0116689\n5 | 01115566778\n6 | 47899\n7 | 01245579\n8 | 0011\n9 | 13\n10 | 8\n11 | 233\n12 | 2\nkey: 6|4 represents a county with an area of 635 to 644.99 square miles.\na. what is the area of the largest south carolina county?

Answer

Explanation:

Step1: Count total number of bean varieties

Count the number of data - points in the stemplot for bean varieties. Assume there are $n = 30$ varieties.

Step2: Count number of varieties with more than 9 grams of protein

Count the number of data - points in the stemplot for bean varieties that have a stem of 9, 10, or 13. The number of varieties with a stem of 9 is 7, with a stem of 10 is 1, and with a stem of 13 is 1. So the number of varieties with more than 9 grams of protein is $m=7 + 1+1=9$.

Step3: Calculate the proportion

The proportion $p$ is given by the formula $p=\frac{m}{n}$. Substitute $m = 9$ and $n = 30$ into the formula: $p=\frac{9}{30}=0.3$.

For the South - Carolina counties stemplot:

Step1: Identify the largest value in the stemplot

The largest stem value is 12 and the largest leaf value for that stem is 2. According to the key, if the stem is 12 and the leaf is 2, and the area is rounded to the nearest 10 square miles, the value represented is in the range of $122\times10 = 1220$ to $1229.99$ square miles. So the area of the largest South Carolina county is 1220 - 1229.99 square miles. Rounding to the nearest 10 square miles, the area is 1220 square miles.

Answer:

b. The proportion of bean varieties that contain more than 9 grams of protein per 100 grams of cooked beans is 0.3. a. The area of the largest South Carolina county is 1220 square miles.