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larisa [96]
2 years ago
6

Fill in the table using this function rule y=4x-12

Mathematics
1 answer:
AleksAgata [21]2 years ago
5 0
Very top one is 8
Second from top is 12
Third from top is 20
Fourth from top is 28
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In a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and again at age 35. The followi
Naddika [18.5K]

Answer:

112

Step-by-step explanation:

Given that in a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and again at age 35.

Age 18: average score = 100, SD = 15

Age 35: average score = 100, SD = 15, r = 0.80

Let us obtain regression equation of y on x.

Let y be the scores at age 35 and x at age 18

Slope = r(s_y/s_x) = 0.8(\frac{15}{15} )=0.80

The line passes through (100,100) being average of x and y

Hence regression line would be

y-100=0.8(x-100)\\y = 0.8x+20

a) Here given that x =115

Hence y=0.80(115)+20\\=112

the average score at age 35 for all the individuals who scored 115 at age 18, would be 112.

b) Prediction also would be the same 112.

5 0
3 years ago
A boat is 400 feet away from one dock and 500 feet away from the another dock. the angle between the paths is 45°. what is the a
FinnZ [79.3K]

Answer:

  • The approximate distance between the docks is 357 feet

Step-by-step explanation:

Let the distance between docks be d.

This is the opposite side to 45° angle of triangle with other sides 400 ft and 500 ft.

Use the law of cosines to find the value of d:

  • d = \sqrt{400^2+500^2-2*400*500*cos45} =357 (rounded)
8 0
2 years ago
List 2 common multiples of 2 , 5
neonofarm [45]

Answer:

2: 2, 4, 6, 8, 10

5: 5, 10

lcm: 10

3 0
3 years ago
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find the value of the trigonometric function sin (t) if sec t = -4/3 and the terminal side of angle t lies in quadrant II
kodGreya [7K]

Answer:

sin(t) =\frac{\sqrt{7}}{4}

Step-by-step explanation:

By definition we know that

sec(t) = \frac{1}{cos(t)}

and

cos ^ 2(t) = 1-sin ^ 2(t)

As sec(t) = -\frac{4}{3}

Then

sec(t) = -\frac{4}{3}\\\\\frac{1}{cos(t)} =-\frac{4}{3}\\\\cos(t) = -\frac{3}{4}

Now square both sides of the equation:

cos^2(t) = (-\frac{3}{4})^2

cos^2(t) = \frac{9}{16}\\\\

1-sin^2(t) =\frac{9}{16}\\\\sin^2(t) =1-\frac{9}{16}\\\\sin^2(t) =\frac{7}{16}\\\\sin(t) =\±\sqrt{\frac{7}{16}}

In the second quadrant sin (t) is positive. Then we take the positive root

sin(t) =\sqrt{\frac{7}{16}}

sin(t) =\frac{\sqrt{7}}{4}

8 0
3 years ago
Anyone plz help me fin d this answer
Ivanshal [37]

Answer:

w......................

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3 years ago
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