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hoa [83]
3 years ago
13

The scatter plot below shows one class of Spanish students' time spent studying for their final versus the grade that they earne

d in the final. What grade would you predict for a student who studied for 105 minutes?

Mathematics
2 answers:
IgorC [24]3 years ago
8 0
<span>If you made a line of best fit, then the score would most likely be 95.</span>
sp2606 [1]3 years ago
5 0

Answer:

The predicted grads for a student who studied for 105 minutes is 94.

Step-by-step explanation:

From the given figure the scatter points are (0,55), (0,65), (15,60), (15,65), (15,80),(30,55), (30,70), (30,80), (45,75), (45,80), (45,85), (60,80), (60,90), (60,95), (75,85), (75,90), (90,85), (90,95), (90,100), (120,80), (120, 95), (120,100).

The equation of best fit line is

y=ax+b           ... (1)

where, a is slope and b is initial value.

a=\frac{\sum_{i=1}^nx_iy_i-n\overline{x}\overline{y}}{\sum_{i=1}^nx_i^2-n\overline{x}^2}

b=\overline{y}-b\overline{x}

Using graphing calculator we get,

a\approx 0.2835

b\approx 64.3775

Substitute the value of a and b in equation (1).

y=0.2835x+64.3775

Substitute x=105 in the above equation to find the predicted grads for a student who studied for 105 minutes.

y=0.2835(105)+64.3775

y=94.145

y\approx 94

Therefore the predicted grads for a student who studied for 105 minutes is 94.

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3 years ago
Which best describes your ability to use graphs to model relationships?
alekssr [168]

Answer:

My answer is C

Step-by-step explanation:

I know how to use a graph kind of but I have trouble of calculating and stuff like that.

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2 years ago
–243 = -9(10 + w)<br><br> please help me
Verdich [7]

Answer:

w=17

Step-by-step explanation:

-243=-9(10+w)

-243=-90-9w

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hope this helps :)

8 0
2 years ago
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For the given function f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.
kakasveta [241]

Answer:

a) (f + g)(x) = 9x + 1

Domain: x ε R

b) (f - g)(x) = (-5x + 13)

Domain: x ε R

c) (f.g)(x) = 14x² + 37x - 42

Domain: x ε R

d) (f/g)(x) = (2x + 7)/(7x -6)

Domain: (x ε R except x = 6/7)

e) (f + g)(7) = 64

f) (f - g)(2) = 3

g) (f.g)(3) = 195

h) (f/g)(x) = 1/3

Step-by-step explanation:

f(x) = 2x + 7, g(x) = 7x - 6

a) (f + g)(x) = f(x) + g(x) = (2x + 7) + (7x - 6)

(f + g)(x) = 9x + 1

Since x is defined for functions f & g for all real numbers, the domain of (f + g)(x) is x ε R

b) (f - g)(x) = f(x) - g(x) = (2x + 7) - (7x - 6)

(f - g)(x) = (-5x + 13)

Since x is defined for functions f & g for all real numbers, the domain of (f - g)(x) is x ε R

c) (f.g)(x) = f(x) × g(x) = (2x + 7)(7x - 6)

(f.g)(x) = 14x² - 12x + 49x - 42 = 14x² + 37x - 42

Since x is defined for functions f & g for all real numbers, the domain of (f.g)(x) is x ε R

d) (f/g)(x) = f(x)/g(x) = (2x + 7)/(7x -6)

x is defined for functions f & g for all real numbers, the domain of (f/g)(x) will be x ε R except when the denominator vanishes (that is, goes to zero). This will cause the function to take up values of ∞.

This will happen when 7x - 6 = 0, x = 6/7.

Therefore, the domain of (f/g)(x) is x ε R except the point, x = 6/7.

e) (f + g)(7) = 9(7) + 1 = 64

f) (f - g)(2) = -5(2) + 13 = 3

g) (f.g)(3) = 14(3²) + 37(3) - 42 = 195

h) (f/g)(27) = (2(27) + 7)/(7(27) - 6) = 61/183 = 1/3

Hope this Helps!!!

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