the math club purchases 10 squares, what is the probability that the club will win? 20throtion. Sarah is tiling a wall in her 4 feet by 7 feet. The tiles are square and measure 6 inches on each side. How many tiles does Sarah need? $$ (1) $$

Question

UpStudy AI · Accepted Answer

Sure, I can help you with both of these math problems. Let's tackle them one by one.

---

### **Problem 1: Probability of Winning**

**Statement:**  
The math club purchases 10 squares. What is the probability that the club will win?  
*(It appears there might be a typo in "20throtion." I'll assume the total number of squares available is 20.)*

**Assumptions:**  
- **Total Squares Available:** 20
- **Squares Purchased by the Math Club:** 10
- **Winning Condition:** The club wins if at least one of their squares is the winning square.
  
**Calculation:**  
Assuming there's only **one winning square**, the probability that the math club has that winning square is the number of squares they purchased divided by the total number of squares.

$$
\text{Probability} = \frac{\text{Number of Squares Purchased}}{\text{Total Number of Squares}} = \frac{10}{20} = 0.5 \text{ or } 50\%
$$

**Answer:**  
The probability that the math club will win is **50%**.

---

### **Problem 2: Number of Tiles Needed**

**Statement:**  
Sarah is tiling a wall that measures **4 feet by 7 feet**. The tiles are square and measure **6 inches on each side**. How many tiles does Sarah need?

**Conversions and Calculations:**

1. **Convert Wall Dimensions to Inches (Optional):**  
   Since tile sizes are given in inches, it's often easier to convert wall dimensions to inches to avoid dealing with fractions.

- $$ 4 \text{ feet} = 48 \text{ inches} $$
   - $$ 7 \text{ feet} = 84 \text{ inches} $$

2. **Calculate the Area of the Wall:**

- $$
     \text{Area}_{\text{wall}} = \text{Height} \times \text{Width} = 48 \text{ inches} \times 84 \text{ inches} = 4032 \text{ square inches}
     $$

3. **Calculate the Area of One Tile:**

- $$
     \text{Area}_{\text{tile}} = 6 \text{ inches} \times 6 \text{ inches} = 36 \text{ square inches}
     $$

4. **Determine the Number of Tiles Needed:**

- $$
     \text{Number of Tiles} = \frac{\text{Area}_{\text{wall}}}{\text{Area}_{\text{tile}}} = \frac{4032}{36} = 112
     $$

*Alternatively, working in feet:*

- **Wall Area in Square Feet:**
     $$
     4 \text{ ft} \times 7 \text{ ft} = 28 \text{ square feet}
     $$

- **Tile Area in Square Feet:**
     $$
     0.5 \text{ ft} \times 0.5 \text{ ft} = 0.25 \text{ square feet}
     $$

- **Number of Tiles:**
     $$
     \frac{28}{0.25} = 112
     $$

**Answer:**  
Sarah needs **112 tiles** to completely tile her 4 feet by 7 feet wall.

---

If you have any more questions or need further clarification, feel free to ask!
**Problem 1:** The probability that the math club will win is **50%**. **Problem 2:** Sarah needs **112 tiles** to tile her wall.

the math club purchases 10 squares, what is the probability that the club will win? 20throtion. Sarah is tiling a wall in her 4 feet by 7 feet. The tiles are square and measure 6 inches on each side. How many tiles does Sarah need? \( (1) \)

Solución de tutoría real

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Probability Questions