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VashaNatasha [74]
2 years ago
7

A student is assessing the correlation between the average number of hours of internet browsing and average score on a math test

. The table below shows the data:
Number of hours of internet browsing
(x) 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
Score on math test
(y) 95 94 93 92 91 90 89 88 87 86


Part A: Is there any correlation between the average number of hours of internet browsing and average score on the math test? Justify your answer. (4 points)

Part B: Write a function which best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate? (3 points)
Mathematics
2 answers:
Nikitich [7]2 years ago
6 0

Answer:

How does economic inequality contribute to political polarization?

Income inequality has been typically examined from an economic perspective. However, it becomes more and more politicized in recent decades, causing a wide range of detrimental political consequences. Growing inequality could undermine social mobility, induce violent conflicts, and generate political tensions.

Step-by-step explanation:

timama [110]2 years ago
5 0

Answer:

Step-by-step explanation: How does economic inequality contribute to political polarization?

Income inequality has been typically examined from an economic perspective. However, it becomes more and more politicized in recent decades, causing a wide range of detrimental political consequences. Growing inequality could undermine social mobility, induce violent conflicts, and generate political tensions.

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From a point 100 m from a building the angles of elevation of the top and bottom of a flagpole atop a building are 54.5 degrees
AnnZ [28]

Answer:60ft

Step-by-step explanation:The height of the flagpole is approximately  

60

feet.

Explanation:

Always try to draw a diagram.

enter image source here

We know that there is a right angle between the ground and the building. Therefore, we can use the 3 basic trig ratios instead of the sine or cosine law to solve this problem.

Since the angle in the corner of the larger right triangle measures  

42

˚

, the top angle in this triangle measures  

180

˚

−

90

˚

−

42

˚

=

48

˚

.

By basic trig ratios, we can find the height of the building with the flag pole on top, call it  

H

.

tan

42

˚

1

=

H

500

H

=

500

tan

42

˚

I would keep it in exact form until the last step.

We now devise an expression for the height of the building (without the flag pole). Call it  

a

tan

38

˚

1

=

a

500

a

=

500

tan

38

˚

We can now state that

h

=

H

−

a

h

=

500

tan

42

˚

−

500

tan

38

˚

h

≈

59.559

≈

60

feet

Hopefully this helps!

Answer link

EET-AP

Apr 10, 2017

The flagpole is  

60

f

t

in height to the nearest foot.

Explanation:

1) The flagpole is on top of a building.

2)Angles of elevation both measured from point  

500

f

t

from building

3) Angle of elevation to the top of building is  

38

d

e

g

4) Angle of elevation to the top of flagpole is  

42

d

e

g

The information above will provide us with two right angle triangles, one smaller one inside a larger one.

Both will have a base of  

500

f

t

.

The smaller triangle will have a base angle  

β

of  

38

deg opposite the  

90

deg, and the larger triangle will have a base angle  

β

of  

42

deg.

From this information we can find the heights of the building and the building + pole using the definition of the tangent of the two base angles  

β

:

tan

(

β

)

=

o

p

p

a

d

j

where the  

o

p

p

is the height and the  

a

d

j

is the  

500

f

t

o

p

p

(

b

u

i

l

d

)

=

tan

(

38

)

⋅

(

500

f

t

)

=

390.6

f

t

=

height of building

o

p

p

(

f

l

a

g

)

=

tan

(

42

)

⋅

(

500

f

t

)

=

450.2

f

t

=

height of building + pole

Then to the nearest foot the height of the flagpole is:

450.2

f

t

−

390.6

f

t

=

60

f

t

4 0
3 years ago
What is the value of 2 + b(a? + 4) when a = 2 and b = 4?
Rom4ik [11]

Answer:

26

Step-by-step explanation:

2+4(2+4)

=2+(4)(6)

=2+24

=26

3 0
2 years ago
The square of the product of 4 and a number.
aleksley [76]

the square root of 4x


\sqrt{4x}

8 0
3 years ago
Read 2 more answers
Using distributive property simplify 4 (3x + 7)
marysya [2.9K]

Answer:

12x+28 I think

Step-by-step explanation:

4•3x+7

12x+(4•7)

12x+28

5 0
3 years ago
The ratio of the side lengths triangle is 7:24:29 and it’s perimeter is 180 m. What are the side lengths of the triangle? Select
kakasveta [241]
Answer: Only 21:72:87


Explanation: We know that the side lengths are not simply 7, 24, and 29, as the sum of these is only 60.


Therefore, we need to find the scale factor they were multiplied by to have side lengths with a sum of 180.

We can use 7x+24x+29x=180.

This becomes 60x=180 and the scale factor is x=3.

7*3=21, 24*3=72, and 29*3=87.
6 0
2 years ago
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