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Ray Of Light [21]
4 years ago
5

Two data sets and their mean absolute deviations are shown.

Mathematics
2 answers:
Elena L [17]4 years ago
8 0

Answer:

what are the options

Step-by-step explanation:

Bess [88]4 years ago
7 0

first box is distant out lier

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Need answer asap!!!!!<br><br> how would i solve this?
lesya [120]

The height of the building to the nearest tenth of a meter is; 13 m

<h3>How to make use of Cosine Rule?</h3>

The slant line from the top of Trevor's head to the base of the building is gotten from Pythagoras theorem;

15/x = sin 36°

x = 15/sin 36

x = 25.52 m

Angle between that slant line and base of building is;

90 - tan⁻¹(1.5/14) = θ

θ = 83.88°

Remaining angle of the bigger triangle is;

180 - (36 + 83.88) = 60.12°

Thus, if the height of the building is h, then;

h/sin 36 = 25.52/sin 60.12

h = 13 m

Read more about Cosine Rule at; brainly.com/question/4372174

#SPJ1

5 0
2 years ago
Directions: You must answer the following questions. It is not enough to answer a question by merely listing facts. You must pre
Alexandra [31]

Binocular vision is used to perceive depth. When Brandon looks out into the forest, he uses binocular vision to determine how far away objects are in the forest. He uses the concept of the figure-ground relationship to identify trees and other figures in the forrest as separate from the background. The act of seeing or looking itself requires transduction. Light that hits his eyes undergoes a process called phototransduction in which light is converted to electrical signals which then move through different types of cells. Ultimately these signals are sent to a part of the brain called the occipital lobe where they are converted into an image in the brain.  

Brandon's dog begins to growl as a result of natural selection. Dogs who growled at potential predators were more likely to scare away the predator and survive. As a result, the dog growls when it sees a potential predator. When Brandon's dog starts growling, Brandon becomes fearful that there might be something in the forest. As a result of this fear, his body initiates a sympathetic response, releasing epinephrine into the body. This epinephrine acts on the heart and causes his pulse to increase. He also utilizes his peripheral nervous system to increase the strength of his grip on the leash

4 0
3 years ago
If a car traveled 110.5 miles in two hours, how far did it travel in one hour?
Paul [167]

Answer: 55.25

Step-by-step explanation:

Divide 110.5 by 2 which give you 55.25

So in every hour the car travels at 55.25 miles per hour

8 0
3 years ago
Which is the graph of y= cos(x-pi)
marshall27 [118]

Answer:

graph attached

Step-by-step explanation:

A graph is a pictorial representation that represent the relationship between two or more things.

Cosine function is periodic with period 2\pi . If the point (x,y) lies on the graph, point (x+2k\pi ,y) will also lie on the graph where k is any integer.

Here,

cos(x-\pi )=cos[-(\pi -x)]=cos(\pi -x)=-cos x

7 0
3 years ago
If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​? If the co
Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has ​$1600​.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

P(t) = P(0)e^{rt}

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​?

We have to find t for which A(t) = 1600 when P = 1000, r = 0.07, n = 2

A(t) = P(1 + \frac{r}{n})^{nt}

1600 = 1000(1 + \frac{0.07}{2})^{2t}

(1.035)^{2t} = \frac{1600}{1000}

(1.035)^{2t} = 1.6

\log{1.035)^{2t}} = \log{1.6}

2t\log{1.035} = \log{1.6}

t = \frac{\log{1.6}}{2\log{1.035}}

t = 6.83

Using continuous interest 6.83 years before she has ​$1600​

If the compounding is​ continuous, how long will it​ be?

We have that P(0) = 1000, r = 0.07

Then

P(t) = P(0)e^{rt}

1600 = 1000e^{0.07t}

e^{0.07t} = 1.6

\ln{e^{0.07t}} = \ln{1.6}

0.07t = \ln{1.6}

t = \frac{\ln{1.6}}{0.07}

t = 6.71

Using continuous compounding, 6.71 years.

7 0
3 years ago
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