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Lesechka [4]
3 years ago
7

Eborah finds that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 ti

mes, she calculated that she flipped "heads" 45 times. What is the percent difference in theoretical and experimental probability?
Mathematics
1 answer:
eimsori [14]3 years ago
3 0

Answer:

5%

Step-by-step explanation:

Given that:

Theoretical probability = 50%

The experimental probability = number of desired outcome / number of trials

Hence, experimental probability = 45 / 100 = 0.45

0.45 = 0.45 * 100% = 45%

Percentage difference in theoretical and experimental probability :

Theoretical - experimental

50% - 45% = 5%

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What is the volume of a sphere with a surface area of ​ 16π ​ft²?
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4 0
3 years ago
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What is the equation of the best-fitting regression line? Find this in two ways. First, using the regression analysis part of th
Lemur [1.5K]

Step-by-step explanation:

Regression analysis is used to infer about the relationship between two or more variables.

The line of best fit is a straight line representing the regression equation on a scatter plot. The may pass through either some point or all points or none of the points.

<u>Method 1:</u>

Using regression analysis the line of best fit is: y=\alpha +\beta x+e

Here <em>α </em>= intercept, <em>β</em> = slope and <em>e</em> = error.

The formula to compute the intercept is:

\alpha =\bar y-\beta \bar x

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\bar y=\frac{\sum y_{i}}{n} \\\bar x=\frac{\sum x_{i}}{n}

The formula to compute the slope is:

\beta =\frac{\sum (x-\bar x)(y - \bar y)}{\sum (x=\bar x)^{2}}

And the formula to compute the error is:

e=y-\alpha -\beta x

<u>Method 2:</u>

The regression line can be determined using the descriptive statistics mean, standard deviation and correlation.

The equation of the line of best fit is:

(y-\bar y)=r\frac{\sigma_{x}}{\sigma_{y}} (x-\bar x)

Here <em>r</em> = correlation coefficient = r=\frac{Cov (x,y)}{\sqrt{\sigma^{2}_{x}\sigma^{2}_{y}} }

\sigma_{x} and \sigma_{y} are standard deviation of <em>x</em> and <em>y</em> respectively.

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3 0
3 years ago
Need help thank you:)
inna [77]

Answer:

F = 1.8C + 32

Step-by-step explanation:

Given

The attached table

Required

The relationship between both temperatures

<em>This implies that we calculate the table equation</em>

First, we calculate the slope (m)

m = \frac{F_2 - F_1}{C_2 - C_1}

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m = \frac{68 - 32}{20 - 0}

m = \frac{36}{20}

m = 1.8

The equation is then calculated using:

F = m(C - C_1) + F_1

This gives:

F = 1.8(C - 0) + 32

F = 1.8(C ) + 32

F = 1.8C + 32

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3 years ago
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