How do you use an exponent to represent a number such as 16

Vesnalui [34]

3x - 1 = 3x + 1

subtract 3x from both sides to get (-1 = 1). This is a false statement so it is: CONTRADICTION

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4x - 11 = 7

add 11 to both sides and then divide both sides by 4 to get $(x = \frac{18}{4} = \frac{9}{2})$ . This statement is true only when x = $\frac{9}{2}$ so it is: CONDITIONAL

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2 - 8x = 2 - 8x

add 8x to both sides to get (2 = 2). This is a true statement so it is: IDENTITY

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x + 1 = -x + 4

add x to both sides, subtract 1 from both sides, and divide both sides by 2 to get $(x = \frac{3}{2} )$ . This statement is true only when x = $\frac{3}{2}$ so it is: CONDITIONAL

Answer: B, A, C, A

6 0

3 years ago

The daily revenues of a cafe near the university are approximately normally distributed. The owner recently collected a random s

lbvjy [14]

Answer:

The sample size to obtain the desired margin of error is 160.

Step-by-step explanation:

The Margin of Error is given as

$MOE=z_{crit}\times\dfrac{\sigma}{\sqrt{n}}$

Rearranging this equation in terms of n gives

$n=\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2$

Now the Margin of Error is reduced by 2 so the new M_2 is given as M/2 so the value of n_2 is calculated as

$n_2=\left[z_{crit}\times \dfrac{\sigma}{M_2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{\sigma}{M/2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{2\sigma}{M}\right]^2\\n_2=2^2\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4n$