Does the equation y=14x show a proportional relationship between x and y? Explain.

a teacher has given a test to a group of students. the set of scores is: 78, 79, 79, 81, and 83. find the variance for this samp

Delvig [45]

Based on the data set, the variance for this sample of tests is 4

<h3>How to find the variance for this sample of tests?</h3>

The sample of test is given as:

78, 79, 79, 81, and 83.

Calculate the mean, using:

Mean = Sum/Count

So, we have

Mean = (78 + 79 + 79 + 81 + 83)/5

Evaluate

Mean = 80

The variance is calculated as

$\sigma^2 = \frac{\sum(x - \bar x)^2}{n-1}$

This gives

$\sigma^2$ = [(78 - 80)^2 + (79 - 80)^2 + (79- 80)^2 + (81- 80)^2 + (83- 80)^2)]/[5 - 1]

Evaluate the numerator and the denominator.

So, we have:

$\sigma^2$ =16/4

Evaluate the quotient

$\sigma^2$ = 4

Hence, the variance for this sample of tests is 4

Read more about variance at:

brainly.com/question/15858152

#SPJ1

7 0

2 years ago

Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tab

natta225 [31]

Answer:

(a) at t=2, the particle is moving toward the origin

(b) a(t) = 70(8 -9t^2)/(3t^2 +8)^3; a(2) = -0.245

(c) the particle approaches x = 1/3 as t gets large

Step-by-step explanation:

(a) The function x(t) is negative for -3 < t < 3, so at t = 2, the particle is to the left of the origin.

The velocity of the particle is given by the derivative of the position function:

$x'(t)=\dfrac{(3t^2+8)(2t)-(t^2-9)(6t)}{(3t^2+8)^2}=\dfrac{70t}{(3t^2+8)^2}$

Then, at t=2, the expression is positive, indicating the particle is moving toward the origin.

__

(b) The acceleration is the derivative of the velocity, so is ...

$a(t)=\dfrac{70(3t^2+8)^2-(70t)(12t)(3t^2+8)}{(3t^2+8)^4}=\dfrac{70(3t^2+8-12t^2)}{(3t^2+8)^3}\\\\\boxed{a(t)=\dfrac{70(8-9t^2)}{(3t^2+8)^3}}$

Then at t=2, the acceleration is ...

a(2) = 70(8 -9·4)/(3·4+8)^3 = 70(-28)/8000

a(2) = -0.245

__

(c) As t gets large, the value of x(t) approaches t^2/(3t^2) = 1/3.

7 0

4 years ago

There are 13 bagels in a baker's dozen. Hillary,Mark, and Tam share the bagels equally. Will each friend get more than or fewer

vaieri [72.5K]

Answer:

Each friend will get more than 4 whole bagels.

Step-by-step explanation:

First off, although the question asks for 13 bagels divided between 3 friends, let's use a number that results in a whole number when divided by 3, but is close to 13.

This number can be 12.

12 divided by 3 is 4, so each friend gets 4 bagels if there are a total of 12 bagels.

However, there are more than 12 bagels so we know that each of the the 3 friends will get more than 4 bagels each.

4 0

4 years ago

Can someone plz help i really need help plz help me

77julia77 [94]

Answer:b

Step-by-step explanation:

5 0

3 years ago

Ramon has started a workout program. On Monday, he did 10 push-ups. On Tuesday, he did 13 push-

nevsk [136]

Answer:

he will do 19 pushups

Step-by-step explanation:

He will do 19 push ups because the pattern Is going up by 3 each days so if you add 3 to 16 you will get 19!!!!!

Hope This Helped :)

7 0

3 years ago

Read 2 more answers

Does the equation y=14x show a proportional relationship between x and​ y? Explain.

Does the equation y=14x show a proportional relationship between x and y? Explain.