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3 years ago

How do i use properties of exponents

1 answer:

3 0

You can use the properties of exponents in three ways: Products of Power and Power to Power

Explanation:

Product of a Power: When you multiply exponentials with the same base, you add their exponents

Power to a Power: When you have a power to a power, you multiply the exponents.
Quotient of Powers: When you divide exponentials with the same base, you subtract the exponents.

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Which of the following is the shape of a cross-section of the figure shown

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Answer:

B. Pyramid

Step-by-step explanation:

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3 years ago

Jose sold half of his comic books and then bought 25 more. He now has 45. How many did he start out with?

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3 years ago

A truck loaded with 8000 electronic circuit boards has just pulled into a firm’s receiving dock. The supplier claims that no mor

Juliette [100K]

Answer:

The 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

Let X = number of boards that fall outside the most rigid level of industry performance specifications.

In a random sample of 300 boards the number of defective boards was 12.

Compute the sample proportion of defective boards as follows:

$\hat p =\frac{12}{300}=0.04$

The (1 - α)% confidence interval for population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The critical value of z for 95% confidence level is,

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)$

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

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3 years ago

Ariana buys an ant farm from a store near her home. the ant farm price $12, and the sales tax is 7% what is the total price of t

aalyn [17]

Answer:

The total price for ant farm is $12.84

Step-by-step explanation:

The price of ant farm = $ 12

The sales tax on the price = 7%

Noe, 7% of $12 = $\frac{7}{100} \times 12 = 0.84$

⇒The tax amount on the price = $0.84

So, the Taxed amount = The original price + Tax

$ 12 + $0.84 = $12.84

Hence the total price for ant farm is $12.84

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3 years ago

What is the exponential form of log5 15,625 = 6?

Lina20 [59]

Answer:

I'm currently having the same lesson.

Exponential form:

5⁶ = 15,625

The number next to the "log" symbol is the base, which is positioned down. Next to the base of the exponent is the result of the exponent.

The number after the equal sign is the exponent.

Check the image for better clarification.

Step-by-step explanation:

6 0

3 years ago

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