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Alexeev081 [22]
1 year ago
5

What is the mean for Doctor A’s data set on contacts? What is the mean for Doctor B’s data set on contacts? Write a sentence com

paring the number of people who wear contacts in the two data sets.

Mathematics
1 answer:
jolli1 [7]1 year ago
8 0

Answer:

The mean for Doctor A's set of contacts is <u>107.7</u> and the mean for Doctor B's set of contacts is <u>118.6</u>. I'll let you do the rest :)

A little reminder about mean: mean is when you add up all the numbers then divide by how many numbers there are, hoped this helped (*^▽^*)

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Given the position of the particle, what the position(s) of the particle when it’s at rest
choli [55]

The position function of a particle is given by:

X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t

The velocity function is the derivative of the position:

\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}

The particle will be at rest when the velocity is 0, thus we solve the equation:

2t^2-9t-18=0

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

Substituting:

\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}

We have two possible answers:

\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

undefined

6 0
1 year ago
The graph represents the data cost for monthly internet service for a cell phone. Which function, C(x), respresent the monthly c
Tanya [424]

Answer:

Correct option: first one

Step-by-step explanation:

The graph has 3 different parts:

Cost = 15 when the Gigabytes used is lesser than or equal 2,

Cost from 20 to 40 when the Gigabytes used is greater than 2 and lesser than or equal 6.

An increase of 4 gigabytes caused an increase of 20 in the cost, so the slope is 20/4 = 5, and the y-intercept is:

20 = 5*2 + b -> b = 10

Cost = 50 when the Gigabytes used is greater than 6.

So the correct option is the first one

3 0
3 years ago
HELP PLEASE ASAP<br> I will mark brainliest if you explain
scoray [572]

Answer:

y - 5, (x, y) - (0,5)

3 0
2 years ago
Using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equ
Nimfa-mama [501]

Answer:

In year 2030 the population is predicted to be 71.75 million

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Using data from 2010 and projected to 2020, the population of

 the United Kingdom (y, in millions) can be approximated by the

 equation  10.0 y − 4.55 x = 581

- x is the number of years after 2000

- We need to know in what year the population is predicted to be

  71.75 million

* <em>Lets substitute the value of y in the equation by 71,75</em>

∵ The equation of the population is 10.0 y - 4.55 x = 581

∵ y = 71.75

∴ 10.0(71.75) - 4.55 x = 581

∴ 717.5 - 4.55 x = 581

- Subtract 717.5 from both sides

∴ - 4.55 x = - 136.5

- Divide both sides by - 4.55

∴ x = 30

∵ x represents the number of years after 2000

∵ 2000 + 30 = 2030

∴ In year 2030 the population is predicted to be 71.75 million

6 0
3 years ago
Solve for x. 3x ^2 -4 = 8
LenKa [72]

Answer:

x = ±2

Step-by-step explanation:

3x ^2 -4 = 8

Add 4 to each side

3x ^2 -4+4 = 8+4

3x^2 =12

Divide each side by 3

3x^2 =12

3x^2/3 = 12/3

x^2 = 4

Take the square root of each side

sqrt(x^2) = ±sqrt(4)

x = ±2

5 0
3 years ago
Read 2 more answers
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