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solve the following equation: 4x + 19 = 43 tina spun a 4 - section spin…

Question

solve the following equation: 4x + 19 = 43
tina spun a 4 - section spinner 20 times and landed on yellow 8 times. what is the experimental probability of landing on yellow in her experiment?

Explanation:

Step1: Isolate the term with x

Subtract 19 from both sides of the equation $4x + 19=43$.
$4x+19 - 19=43 - 19$
$4x = 24$

Step2: Solve for x

Divide both sides of the equation $4x = 24$ by 4.
$\frac{4x}{4}=\frac{24}{4}$
$x = 6$

The experimental - probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step1: Identify the number of favorable outcomes and total number of outcomes

The number of times the spinner landed on yellow is 8 (favorable outcomes), and the total number of spins is 20.

Step2: Calculate the experimental probability

$P=\frac{8}{20}=\frac{2}{5}=0.4$

Answer:

$x = 6$