Ask question

Ask question

All categories

2 years ago

14

Theo recorded the means and mean absolute deviations of his language arts and Biology scores. He found the difference in the mea

ns of the scores of the two subjects. What is the approximate ratio of the difference in the means to each of the mean absolute deviations?
Means and Mean Absolute Deviations of

Theo’s Scores

Language Arts

Biology

Mean

98

90

Mean Absolute Deviation

3.5

5

a.2

b.5

c.18

d.28

2 answers:

Rina8888 [55]2 years ago

8 0

The answer is actually A.2 because I just took the test.

UNO [17]2 years ago

4 0

Answer:

Option: a is the correct answer.

a. 2

Step-by-step explanation:

We are given a table for the mean and mean absolute deviations as:

Language Arts Biology

Mean 98 90

Mean Absolute Deviation 3.5 5

Hence, the difference in the mean is:

98-90=8

Now we calculate the ratio of difference in mean with each of the mean absolute deviation score.

1)

$\dfrac{8}{3.5}=2.286$

which is approximately equal to 2.

2)

$\dfrac{8}{5}=1.6$

which is also approximately equal to 2.

Hence, the approximate ratio of the difference in the means to each of the mean absolute deviations is: 2

You might be interested in

Why does multiplying a + bi by the complex conjugate a -bi eliminate I from the expression

navik [9.2K]

<u>EXPLANATION</u>

The reason is that

$i^2=-1$

If we multiply $a+bi$ by its conjugate $a-bi$

We obtain;

$(a+bi)(a-bi)$

This is difference of two squares so we obtain;

$(a+bi)(a-bi)=a^2-(bi)^2$

This further gives us,

$(a+bi)(a-bi)=a^2-b^2i^2$

Since the $i^2=-1$ , we substite to get;

$(a+bi)(a-bi)=a^2-b^2(-1)$

The $i$ is now eliminated and we get,

$(a+bi)(a-bi)=a^2+b^2$

6 0

2 years ago

A circular rug has a radius of 3 ft. What is the circumference of the rug? Use 3.14 for mc014-1.jpg.

Pavel [41]

Hello!

We must use a certain formula to find the circumference of anything circular.

The formula is:

C = 2 × pi × r

We know that pi = 3.14 approximately and the radius is 3 feet.

Substitute:

C = 2 × 3.14 × 3

C = 6.28 × 3

C = 18.84 ft

ANSWER:

The circumference of the circular rug is 18.84 ft. (Last option)

3 0

2 years ago

Read 2 more answers

In a class, 4/5 of the students have mathematical instruments. 1/4 of these students have lost their protractors. What fraction

Novay_Z [31]

Answer:

$\frac{11}{20}$

Step-by-step explanation:

$\frac{4}{5} - \frac{1}{4}$ <em>Subtract the students who don't have protractors from the students who have mathematical instruments.</em>

$\frac{11}{20}$

6 0

2 years ago

Read 2 more answers

a ball is thrown with a slingshot at a velocity of 110ft/sec at an angle of 20 degrees above the ground from a height of 4.5 ft.

satela [25.4K]

Answer:

$t=2.47\ s$

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

$h(t) = h_0 + s_0t -16t ^ 2$

Where $h_0$ is the initial height, $s_0$ is the initial velocity and t is the time in seconds.

We know that the initial height is:

$h_0 = 4.5\ ft$

The initial speed is:

$s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s$

So the equation is:

$h (t) = 4.5 + 37.62t -16t ^ 2$

The ball hits the ground when when $h(t) = 0$

So

$4.5 + 37.62t -16t ^ 2 = 0$

We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

$at^2 +bt + c$

The quadratic formula is:

$t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}$

In this case

$a= -16\\\\b=37.62\\\\c=4.5$

Therefore

$t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}$

$t_1=-0.114\ s\\\\t_2=2.47\ s$

We take the positive solution.

Finally the ball takes 2.47 seconds to touch the ground

4 0

2 years ago

At a construction site, a builder plans to cut down an 8-foot-by-9-foot piece of plywood. She plans to discard any pieces that s

AnnZ [28]

Answer:

12 i think

Step-by-step explanation:

6 0

2 years ago