Ask question

Ask question

All categories

3 years ago

9

a person is standing on a cliff 120 ft high looking out to the ocean there is a boat out on the ocean 300 ft from the base of th

e cliff if the person looks down to see the boat what is her angle of depression to the nearest tenth

1 answer:

uranmaximum [27]3 years ago

3 0

Answer:

21.8°

Step-by-step explanation:

Please see the attached picture for the full solution.

You might be interested in

In the United States, 36 percent of the people have a blood type that is A positive. From a random sample of 150 people from Nor

djverab [1.8K]

Answer:

The standard deviation used in the test statistic is 0.04.

Step-by-step explanation:

A single proportion <em>z</em>-test can be used to determine whether the proportion of people in Norway with a blood type of A positive is different from that in the United States.

The proportion of people in Norway with a blood type of A positive is 36% or 0.36.

The hypothesis can be defined as:

<em>H₀</em>: The proportion of people in Norway with a blood type of A positive is 36%, i.e. <em>p</em> = 0.36.

<em>Hₐ</em>: The proportion of people in Norway with a blood type of A positive is different from 36%, i.e. <em>p</em> ≠ 0.36.

The test statistic is:

$z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}$

The information provided is:

<em>p</em> = 0.36

<em>n</em> = 150

Compute the standard deviation used in the test statistic as follows:

$\sigma=\sqrt{\frac{p(1-p)}{n}}$

$=\sqrt{\frac{0.36\times (1-0.36)}{150}}$

$=\sqrt{0.001536}\\=0.03919184\\\approx 0.04$

Thus, the standard deviation used in the test statistic is 0.04.

5 0

3 years ago

Haala buys 13 identical shirts and 22 identical ties for £363.01

Ugo [173]

Answer:

£7.43

Step-by-step explanation:

The total cost is ...

13s +22t = 363.01

13(15.35) +22t = 363.01 . . . . fill in the cost of a shirt

22t = 163.46 . . . . . . . . . . . . . subtract 199.55

t = 7.43 . . . . . . . . . . . divide by 22

The cost of a tie is £7.43.

5 0

3 years ago

The Wall Street Journal reported that Walmart Stores Inc. is planning to lay off employees at its Sam's Club warehouse unit. App

tatyana61 [14]

Answer:

a) $\bar X = 52$

$Median = 55$

b) $Q_1= \frac{44+44}{2}=44$

$Q_3= \frac{57+60}{2}=58.5$

c) $Range = Max -Min = 69-36=33$

d) $s^2 =100.1429$

$s= \sqrt{100.143}=10.0071$

e) $Lower = Q_1 -1.5 IQR = 44-1.5(58.5-44) = 22.25$

$Upper = Q_1 +1.5 IQR = 44+1.5(58.5-44) = 65.75$

A possible outlier would be the value of 69 since its above the upper limti for the boxplot.

Step-by-step explanation:

For this case we have the following dataset:

55 56 44 43 44 56 60 62 57 45 36 38 50 69 65

A total of 15 observations

Part a

We calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^{15} X_i}{15}$

And for this case we got $\bar X = 52$

For the median we ust need to order the data on increasing way like this:

36, 38,43,44,44,45,50,55,56,56,57,60,62,65,69

Since the number of observations is an odd number the median would be on the 8 position from the dataset ordered on this case:

$Median = 55$

Part b

In order to calculate the Q1 we need to select the following data:

36, 38,43,44,44,45,50,55

And the Q1 would be the average between the 4 and 5 positions like this:

$Q_1= \frac{44+44}{2}=44$

And for the Q3 we select these values:

55,56,56,57,60,62,65,69

And the Q3 would be the average between the 4 and 5 positions like this:

$Q_3= \frac{57+60}{2}=58.5$

Part c

The Range is defined as:

$Range = Max -Min = 69-36=33$

Part d

In order to calculate the sample variance we can use the following formula:

$s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

And if we replace we got:

$s^2 =100.1429$

And the deviation is just the square root of the variance:

$s= \sqrt{100.143}=10.0071$

Part e

For this case we need to find the lower and upper limits for the boxplot given by:

$Lower = Q_1 -1.5 IQR = 44-1.5(58.5-44) = 22.25$

$Upper = Q_1 +1.5 IQR = 44+1.5(58.5-44) = 65.75$

A possible outlier would be the value of 69 since its above the upper limti for the boxplot.

4 0

4 years ago

About 1.2x10^7 bytes of data makeup a single frame of an animated film. There are 24 frames in one second of a film. About how m

Alexus [3.1K]

12000000 bytes is one frame, then you multiply that by 24 to get one second (288000000 bytes). Then I just multiplied that by 60 to get one minute (17.28 billion). After that I multiplied by sixty to get 1037000000000000 (1.037 trillion) so its 1.037 trillion bytes.

7 0

3 years ago

A rectangle has a side length of 3 feet and an area of 24 square feet. A larger similar rectangle has a corresponding side lengt

Verizon [17]

Answer: The answer would be 214

3 0

3 years ago