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2 years ago

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.

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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)

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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

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

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

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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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