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3 years ago

Express 52 thousandths in scientific notation

Mathematics

1 answer:

Alexus [3.1K]3 years ago

8 0

Answer:

5.2 x 10^-2

Step-by-step explanation:

Scientific notation is used to simplify very large or very small numbers.

The formula for scientific notation is (a x 10^ n)

(a) is a number that is both greater than 1 and less than 10

(n) is the number of places the decimal place moves. This number can be positive or negative depending on the number you are converting. If the original number is greater than 1 (n) will be positive, and if the number is less than 1 (n) will be negative.

First you should write out the number.

0.052

Then, you should determine the number places the decimal point must move, and create a number greater than 1 and less than 10. (You should also pay attention to the direction the decimal point moves)

For this problem you will move the decimal place 2 places to the right to create the number 5.2.

Last, substitute the values into the formula. For this problem (a)= 5.2 and (n)= -2. This gives us the expression 5.2 x 10^-2.

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aliya0001 [1]

Answer:

P-value = 0.4846

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4.73

Sample mean, $\bar{x}$ = 4.35

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Alpha, α = 0.05

Sample standard deviation, s = 3.88

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 4.73\\H_A: \mu \neq 4.73$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{4.35 - 4.73}{\frac{3.88}{\sqrt{51}} } = -0.699$

Now, $z_{critical} \text{ at 0.05 level of significance } = \pm 1.96$

We can calculate the p-value with the help of standard normal table.

P-value = 0.4846

Since the p-value is higher than the significance level, we fail to reject the null hypothesis and accept it.

We conclude that this college has same drinking habit as the college students in general.

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3 years ago

You estimated a length to be 10 ft, but when you actually measured, you found it to be 8.75 ft. What was your percent error for

kotykmax [81]

Answer:

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Step-by-step explanation:

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2 years ago

I really really need help with this please.

11111nata11111 [884]

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= 1 + 3 + 3^2 + 3^3 + 3^4
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