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3 years ago

Eight trials are simulated. The results are shown in the table.

Mathematics

1 answer:

Leokris [45]3 years ago

8 0

Answer:

Margin of error for 95% = 2.895

Step-by-step explanation:

We are given a sample of size 8.

First let us find mean and std deviation for this sample.

Mean = sum/8 = 108.5

Variance = E(X^2)- Mean ^2 = 12

Std dev = sqroot of 12 = 3.464

When sample is used we use standard error instead of standard deviation to find margin of error.

Std error = std dev/sq rt n = 1.225

Since sample size is very small and <30 we can use t critical value to find margin of error.

n =8 hence df = 8-1 =7

t critical for two tailed at 95% = 2.363

Margin of error = t crit * std error

=2.363(1.225) = 2.895

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<h3>Answer: C. N </h3>

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3 years ago

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aleksandr82 [10.1K]

Answer:

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3 years ago

What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? y = (StartFraction

Dominik [7]

By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is $\frac{5y_2+y_1}{6}$

<h3>What is section formula ?</h3>

Let point P(x,y) cuts line joining point $A(x_1,y_1)$ and $B(x_2,y_2)$ in $m_1:m_2$ then coordinate of point P is equal to $(\frac{m_1x_2+m_2x_1}{m_1+m_2}, \frac{m_1y_2+m_2y_1}{m_1+m_2})$

Here given that point divides line segment from J to K into a ratio 5:1

$m_1=5\\\\m_2=1$

Now we have to fin y coordinate of point that divides the directed line segment from J to K into a ratio of 5:1

We can calculated y coordinate by applying section formula as :

$\frac{5y_2+1y_1}{5+1}\\\\\frac{5y_2+y_1}{6}$

By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is $\frac{5y_2+y_1}{6}$

To learn more about section formula visit:brainly.com/question/26433769

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3 years ago

what is the example of a product that will have the same number of zeros in the factors and the products? what is one example of

Natalka [10]

Answer:

same: 30×40 = 1200
different: 20×50 = 1000

Step-by-step explanation:

Same: 30×40 = 1200 . . . . . 2 zeros in the factors; 2 in the product

Different: 20×50 = 1000 . . . 2 zeros in the factors; 3 in the product

Same: 0.3×0.4 = 0.12 . . . . no zeros in the factors; no zeros in the product

Different: 0.2×0.4 = 0.08 . . . no zeros in the factors; 1 zero in the product after the decimal point

_____

For a product, the number of zeros will be different if the combined factors of the numbers increase the number of factors of 10 beyond the sum of the factors of 10 of the numbers being multiplied.

<u>Example</u>: neither 2 nor 5 has a factor of 10, but their product does.

For a product that is a decimal fraction, the number of leading zeros will increase if the product of the mantissas of the numbers is less than 10. The number of trailing zeros will increase under the conditions discussed above. (0.25×0.4 = 0.100)

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<em>Additional comment</em>

Here, the term "mantissa" is used to refer to the portion of the number written in scientific notation that multiplies the power of 10.

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3 years ago

If 3(x – 2) = 2x + 6, the value of x is<br> i will give you 35 points

Kryger [21]

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4 years ago