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KIM [24]
2 years ago
14

30 POINTS!!!!! PLEASE HELP

Mathematics
1 answer:
Hoochie [10]2 years ago
3 0

Answer:

a) For a constant increment in x-variable, there is a constant increment in y-variable, for example, for x = 0 to x = 0.5 (increment = 0.5) y-variable goes from 60 to 62 (increment = 2); the same is valid for any couple of (x,y) values. This behaviour is characteristic of linear equations.

b) slope:

m = (increment in y-variable)/(increment in x-variable) = 2/0.5 = 4

y-intercept:

y1 = m*x1 + h

60 = 4*0 + h

60 = h

equation: y = 4x + 60

where y represents scores and x represents hours spent studying

c) The slope indicates that you need to study 1 hour to increase your score in 4 points

The y-intercept indicates that you will get at least a score of 60, even though you hadn't studied

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A poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ag
Katyanochek1 [597]

Answer:

At 5% significance level, it is statistically evident that    there is nodifference in the proportion of college students who consider themselves overweight between the two poll                                  

Step-by-step explanation:

Given that a poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ago.

Let five years ago be group I X and as of now be group II Y

H_0: p_x =p_y\\H_a: p_x \neq p_y

(Two tailed test at 5% level of significance)

                Group I            Group II              combined p

n                  270                 300                         570

favor            120                  140                          260

p                   0.4444            0.4667                   0.4561

Std error   for differene = \sqrt{\frac{0.4561(1-0.4561)}{570} } \\=0.0209

p difference = -0.0223    

Z statistic = p diff/std error =       -1.066

p value =0.2864

Since p value >0.05, we accept null hypothesis.

        At 5% significance level, it is statistically evident that    there is nodifference in the proportion of college students who consider themselves overweight between the two poll                                  

7 0
3 years ago
The Rivertown city council is attempting to choose one of four sites (A, B, C, or D) as the location for its new emergency facil
Vikki [24]

Answer:

SITE A

Step-by-step explanation:

Given :

proposed-site Area-Served

1 2 3 4

A 5.2 4.4 3.6 6.5

B 6.0 7.4 3.4 4.0

C 5.8 5.9 5.9 5.8

D 4.3 4.8 6.5 5.1

Area 1 2 3 4

Number-runs 150 65 175 92

Computing the weighted average for the 4 sites :

Site A:

((150*5.2) + (65*4.4) + (175*3.6) + (92*6.5)) / (150 + 65 + 175 + 92)

= 2294 / 482

= 4.7593

Site B:

((150*6.0) + (65*7.4) + (175*3.4) + (92*4.0)) / (150 + 65 + 175 + 92)

= 2344/ 482

= 4.863

Site C:

((150*5.8) + (65*5.9) + (175*5.9) + (92*5.8)) / (150 + 65 + 175 + 92)

= 2819.6/ 482

= 5.850

Site D:

((150*4.3) + (65*4.8) + (175*6.5) + (92*5.1)) / (150 + 65 + 175 + 92)

= 2563.7/ 482

= 5.319

From the weighted average response time computed for the different sites ;

The best location for the emergency facility would be one with the least average response time; which is SITE A.

7 0
3 years ago
5/6 divided 1 1/4 simplify complex fraction.
HACTEHA [7]

Answer: 2/3

Step-by-step explanation:

5/6 divided 5/4

5 times 4 and 6 times 5

equals 20/30

simplify 20/30 =2/3

7 0
3 years ago
What are the equivalent expressions of 1/5 ​
Firdavs [7]

Answer:   0,2 or 20%

Step-by-step explanation:

5 0
3 years ago
Use the figure to find the measures of the numbered angles. PLZZZ HELPPPP
Troyanec [42]

angle 1 = 90°

angle 2 = 90°

angle 3 = 90°

angle 4 = 90°

angle 5 = 90°

angle 6 = 90°

angle 7 = 90°

7 0
2 years ago
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