Tug of War Activity

Mathematics

1 answer:

guapka [62]3 years ago

6 0

Answer:

Round 3 the grandmas

Step-by-step explanation:

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Need help.<br> Picture has it all..<br> Correct answers only please.

Serggg [28]

Tan x degrees = 31

To find X use arctan.

x = arctan(31)

x = 88.15

x = 88.2 (rounded to the nearest tenth)

7 0

2 years ago

Scores on an exam follow an approximately bell shaped distribution with a mean of 76.4 and a standard deviation of 6.1 points. A

Crazy boy [7]

Answer:

b) 95%

Step-by-step explanation:

We have been given that scores on an approximately bell shaped distribution with a mean of 76.4 and a standard deviation of 6.1 points. We are asked to find the percentage of the data that is between 64.2 points and 88.6 points.

First of all, we will find z-scores of each data point as:

$z=\frac{x-\mu}{\sigma}$

$z=\frac{64.2-76.4}{6.1}$

$z=\frac{-12.2}{6.1}$

$z=-2$

Let us find z-score corresponding to normal score 88.6.

$z=\frac{88.6-76.4}{6.1}$

$z=\frac{12.2}{6.1}$

$z=2$

To find the percentage of the data is between 64.2 points and 88.6 points, we need to find area under a normal distribution curve that lie within two standard deviation of mean.

The empirical rule of normal distribution states that approximately 95% of data points fall within two standard deviation of mean, therefore, option 'b' is the correct choice.

6 0

3 years ago

The radius of the front wheel of Paul's bike is 63cm. Paul goes for a cycle and travels 69.89km. How many full revolutions did P

Rudiy27

Answer: $17,649$