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3 years ago

Solve the following equation: x2-5=7

Mathematics

1 answer:

Yuliya22 [10]3 years ago

5 0

Answer:

x= 6

Step-by-step explanation:

Step 1: Write equation

2x - 5 = 7

Step 2: Solve for x

Add 5 to both sides: 2x = 12

Divide both sides by 2: x= 6

Step 3: Check

Plug in x to verify if it's a solution.

2(6) - 5 = 7

12 - 5 = 7

7 = 7

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$\frac{17}{60}$ and $\frac{1}{4}$ are the experimental probabilities from the table.

Solution:

Total number of times spun the spinner = 60

Number of times getting 1 = 12

Number of times getting 2 = 17

Number of times getting 3 = 15

Number of times getting 4 = 16

Experimental probabilities from the table:

Probability of getting 1 = $\frac{12}{60}=\frac{1}{5}$

Probability of getting 2 = $\frac{17}{60}$

Probability of getting 3 = $\frac{15}{60}=\frac{1}{4}$

Probability of getting 4 = $\frac{16}{60}=\frac{4}{15}$

To determine which are the experimental probabilities from the table:

Option A: 15

This is not obtained above. So, it is not the experimental probability.

Option B: $\frac{17}{60}$

This is obtained in the probability of getting 2.

So, it is the experimental probability.

Option C: $\frac{1}{4}$

This is obtained in the probability of getting 3.

So, it is the experimental probability.

Option D: $\frac{7}{15}$

This is not obtained above. So, it is not the experimental probability.

Option E: $\frac{12}{43}$

This is not obtained above. So, it is not the experimental probability.

Hence $\frac{17}{60}$ and $\frac{1}{4}$ are the experimental probabilities from the table.

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