Question

1. a second - grade political candidate, rex slater, predicted he would win 55 percent of the class vote. the results of the election are shown in the bar graph. was he correct? write your answer on the line below
2. a standard deck of playing cards has 52 cards, with 13 cards each of hearts, diamonds, clubs, and spades. if a card is drawn randomly from the deck, what is the probability that it will be either hearts or diamonds? a. 1 in 2 b. 1 in 4 c. 1 in 8 d. 1 in 16

questions 48, 49 and 50 refer to the following graph
the birthday months of boys and girls in one class are plotted as a dual bar chart below: birthdays by month of girls and boys in one class

1. how many girls are there in the class? write your answer on the line below
2. how many more boys than girls have their birthdays in either july or august? write your answer on the line below
3. describe the differences in the birthdays of boys and girls in this class. write your answer on the line below

Explanation:

Step1: Calculate probability for question 47

The number of hearts is 13 and the number of diamonds is 13. The total number of favorable outcomes (hearts or diamonds) is $13 + 13=26$. The total number of cards is 52. The probability $P=\frac{26}{52}=\frac{1}{2}$.

Step2: Calculate number of girls for question 48

Sum the frequencies of girls' birthdays in each month: $2 + 3+5 + 3+1=14$.

Step3: Calculate difference for question 49

Number of boys with birthdays in July/August is 6. Number of girls with birthdays in July/August is 3. The difference is $6 - 3 = 3$.

Step4: Describe differences for question 50

Boys have more birthdays in July/August. Girls have more birthdays in May/June. Overall, the distribution of birthdays is different between boys and girls.

Answer:

1. A. 1 in 2
2. 14
3. 3
4. Boys have more birthdays in July/August. Girls have more birthdays in May/June. Overall, the distribution of birthdays is different between boys and girls.