a) To obtain the equation to represent the number of students who send text messages, we will sum up the variables in the Venn diagram and equate it to 150.

$\begin{gathered} 75+x+3x+x=150 \\ x+3x+x=150-75 \\ 5x=75 \end{gathered}$

Hence, the equation is

$5x=75$

b) Solving for x

$\begin{gathered} 5x=75 \\ x=\frac{75}{5}=15 \\ \therefore x=15 \end{gathered}$

Therefore, x = 15.

c) The total number of student that uses cell phone = 75 + x = 75 + 15= 90students

The total number of students that sent messages = 150students

The formula for probability is,

$\text{Probability = }\frac{\text{Number of students that uses cell phone}}{\text{Total number of students}}$

Hence,

$P(\text{Number of students that uses cell phone)}=\frac{90}{150}=\frac{3}{5}$

Therefore, the probability that a randomly chosen student uses their cell phone to send text messages is 3/5.

7 0

1 year ago

Hannah loves to shop. She can shop in 1/9 of the mall in 1/4 of an hour. If she continues at this rate, how much of the mall can

DiKsa [7]

4/9s of the mall per hour. 1/9 + 1/9 + 1/9 + 1/9

7 0

2 years ago

Can someone help me please???​

Can someone help me please???