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2 years ago

Calculate Alberts average speed time:12 minutes distance:100 meters

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

4 0

8.33333333 meters a minute

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10# A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like

ella [17]

ANSWER:

104

STEP-BY-STEP EXPLANATION:

Given:

Standard deviation (σ) = 700

Confidence level = 95%

Mean error (Eμ) = 135

We have for a confidence level of 95%:

$\begin{gathered} \alpha=100\%-95\%=5\%=0.05 \\ \\ \alpha\text{/2}=\frac{0.05}{2}=0.025 \\ \\ \text{ The corresponding Z value for \alpha/2 = 0.025 is as follows:} \\ \\ Z_{\alpha\text{/2}}=1.96 \end{gathered}$

Now, we calculate the minimum value of the sample size as follows:

$\begin{gathered} n=\left(\frac{Z_{\alpha\text{/2}}\cdot\sigma}{E}\right)^2 \\ \\ \text{ We replacing:} \\ \\ \:n=\left(\frac{1.96\cdot 700}{135}\right)^2 \\ \\ \:n=103.2858\cong104 \end{gathered}$

The minimum sample size needed is 104

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1 year ago

How much do I have to deposit today in order to have $5000 in 5 years if interest is 8.5% compounded annually?

alina1380 [7]

Answer:

PV= $3,402.9

Step-by-step explanation:

Giving the following formula:

Future Vale (FV)= $5,000

Number of years (n) 5 years

Interest rate (i)= 8.5% compounded annually

<u>To calculate the initial investment (PV), we need to use the following formula:</u>

PV= FV / (1 + i)^n

PV= 5,000 / (1.085^5)

PV= $3,402.9

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2 years ago

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givi [52]

Answer:

The 1,3,and 4.

Step-by-step explanation:

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