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3 years ago

10

Curtis lives 9 miles away from Jean. If Curtis can ride his bike at a constant rate of 12 miles per hour, how many minutes would

it take Curtis to ride his bike from his house to Jean's house?
Please help- 15 points

1 answer:

sasho [114]3 years ago

4 0

It will take Curtis 45 minutes to ride his bike from his house to Jean's house.

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A Blimp is 400 feet in the air. There is an angle of depression of 40 degrees to a football stadium. How far is the Blimp from t

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Answer:

Step-by-step explanation:

The diagram of the stadium and the blimp is shown in the attached photo. A right angle triangle, ABC is formed. Angle A is alternate to the angle of depression. This mean that they are equal. So angle A =40 degrees.

The distance of the the Blimp from the stadium is x feet which is the hypotenuse of the triangle.

Applying trigonometric ratio,

Sin 40 = 400/x

xsin40 = 400

x = 400/sin40 = 400 / 0.6428

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Harlamova29_29 [7]

Answer:

The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.

Step-by-step explanation:

We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.

Let us find the sample score that corresponds to z-score of bottom 4%.

From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.

Upon substituting these values in z-score formula we will get our sample scores (x) as:

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

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$-1.75*0.08=x-5.71$

$-0.14=x-5.71$

$-0.14+5.71=x-5.71+5.71$

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Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.

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$1.75=\frac{x-5.71}{0.08}$

$1.75*0.08=x-5.71$

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3 years ago

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What percentage of the data falls outside 1 standard deviation of the mean?

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We all know about the bell curve i.e. normal distribution curve. It is centered about the mean and spread equally on each side.

We describe the area of the curve with the help of standard deviations.

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So, the data that falls outside 1 standard deviation of the mean would be equal to (100% - 68%) i.e. 32%.

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Answer:

Step-by-step explanation:

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