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3 years ago

9

to determine whether a number is written in scientific notation what test can you apply to the first factor and what test can yo

u apply to the second factor

1 answer:

pashok25 [27]3 years ago

6 0

Answer:

Step-by-step explanation:

The first term must have one number before decimal point

the second term (factor) must be 10 having some power.

example;

5.0 ×10³

7.002×10^41

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Lady bird [3.3K]

D should be the correct answer

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3 years ago

Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It

Inessa [10]

Answer:

old town has 150 steps

Step-by-step explanation:

Let the number of steps in the old tower be m

Mathematically, time = distance/speed

In this case, the distance is the number of steps while the speed is the rate of climbing or descending

For climbing, time spent = m/3

For descending time spent = m/2

Since it took her 25 longer when descending;

This means that;

m/2 - m/3 = 25

(3m-2m)/6 = 25

m/6 = 25

m = 6 * 25

m = 150 steps

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3 years ago

Solve the inequality<br> x/3 - 2 <4

Afina-wow [57]

Answer:

brainliest please

Step-by-step explanation:

x/3-2<4

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3 years ago

The dwarves of the Grey Mountains wish to conduct a survey of their pick-axes in order to construct a 99% confidence interval ab

Dmitry_Shevchenko [17]

Answer:

The minimum sample size needed is 125.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

$\pi = 0.25$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

What minimum sample size would be necessary in order ensure a margin of error of 10 percentage points (or less) if they use the prior estimate that 25 percent of the pick-axes are in need of repair?

This minimum sample size is n.

n is found when $M = 0.1$

So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.1 = 2.575\sqrt{\frac{0.25*0.75}{n}}$

$0.1\sqrt{n} = 2.575{0.25*0.75}$

$\sqrt{n} = \frac{2.575{0.25*0.75}}{0.1}$

$(\sqrt{n})^{2} = (\frac{2.575{0.25*0.75}}{0.1})^{2}$

$n = 124.32$

Rounding up

The minimum sample size needed is 125.

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4 years ago

how long will it take for an investment of 2000 to double given an annual interest rate of 6% compounded monthly

Agata [3.3K]

It will take about 16.66 months for the investment to double.
Hope this helps.

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3 years ago