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3 years ago

5. Use the equation shown to answer a-b.

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

4 0

Answer:

a. No

b. 2.25 days

Step-by-step explanation:

0.75x + 3 = 0.25x + 5.25

a......................

Constants are $3 and $5.25 respectively

Topping costs $0.75 and $0.25 respectively

To have same cost the toppings number would be different as cost is different.

Suppose the number of toppings is x in one shop and y in the other, then the spending if same, we get this equation:

0.75x + 3 = 0.25y + 5.25

The answer is NO due to two different variables in the equation

b.......................

Constants are $3 and $5.25 respectively

Joseph adds $0.75 each day and Kelsey spends $0.25 each day

Number of days should be same in this case, so variable will be same and the result (amount left in bank) is same.

So the equation for this case is:

3 + 0.75x = 5.25 - 025x

Solving, we get:

0.75x + 0.25x = 5.25 - 3
x = 2.25

This is the solution to equation despite being a whole number.

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To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

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