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Lorico [155]
1 year ago
8

A water skiing jump is 4.6m long. It rises 1.1m. What

Mathematics
1 answer:
lorasvet [3.4K]1 year ago
4 0

The inclination to the nearest tenth of a degree exists 0.24146

<h3>What is the inclination to the nearest tenth of a degree?</h3>

The given scenario includes a right-angled triangle where the length of the ramp exists hypotenuse and the rise of ramp exists the perpendicular.

Given: H = 4.6 m and P = 1.1 m

We have to use the trigonometric ratios to find the angle. The ratio that has to be used should involve both perpendicular and hypotenuse

Let x be the angle then

sin x = P/H

sin x = 1.1/4.6

sin x = 0.23913

$$sin^{-1} x = 0.24146

The inclination to the nearest tenth of a degree exists 0.24146

To learn more about trigonometric ratios refer to:

brainly.com/question/14033725

#SPJ9

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3 years ago
.11 A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to b
Troyanec [42]

Answer:

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

M = \frac{1.01+0.97+1.03+1.04+0.99+0.98+0.99+1.01+1.03}{9} = 1

Sample standard deviation:

Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So

s = \sqrt{\frac{(1.01-1)^2+(0.97-1)^2+(1.03-1)^2+(1.04-1)^2+(0.99-1)^2+(0.98-1)^2+(0.99-1)^2+(1.01-1)^2+(1.03-1)^2}{8}} = 0.0657

Confidence interval:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 3.355

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 3.355\frac{0.0657}{\sqrt{9}} = 0.07

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1 - 0.07 = 0.93

The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

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2 years ago
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Answer:

CD =3m

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we have

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<u>the domain of the function is the interva</u>l---------------> [0,∞)

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If a triangle has a height of 14 inches and a base of 9 inches what's the area
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