(6x+y)(6x-7) What is the answer?

A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constar

Masteriza [31]

Answer:

<u>5.2 kg per month.</u>

<u></u>

Explanation:

The measure of how fast the wrestler gained weight, in kg per month, is the weight gain rate.

The table is:

Time (months) Weight (kg)

0.5 80.6

2 88.4

3.5 96.2

The weight gain rate, WGR, for a period may be calculated as:

WGR = [ weight gain ] / [period]

WGR = [final weight - initial weight] / [final time - initial time]

WGR₁ = [88.4 kg - 80.6 kg] / [2 month - 0.5 month] = 7.8 kg / 1.5 month = 5.2 kg / month

WGR₂ = [96.2 kg - 88.4 kg] / [3.5 month - 2 month] = 7.8 kg / 1.5 month = 5.2 kg / month.

As you see, the wrestler gained weight at a constant rate of 5.2 kg per month.

7 0

3 years ago

Help plz!

sergejj [24]

Answer:

Step-by-step explanation:

5 0

3 years ago

In a state's Pick 3 lottery game, you pay $1.15 to select a sequence of three digits (from 0 to 9), such as 966. If you sel

m_a_m_a [10]

Answer:

A) 1000 different selections

B) probability of winning = 0.001

C) Net profit on winning = $257.20

D) E(y) = -0. 89165

E) Option B - The Pick 4 game is a better bet because it has a larger expected value.

Step-by-step explanation:

A) For the different selections possible, since each of the digits from 0 - 9 can take a total of 10 digits, then the different selections possible will be = 10³ = 1000 different selections

B) To find the probability of winning, since only one pick can be a winning one. Thus probability of winning = 1/1000 = 0.001

C) Net profit on winning = Amount won - Amount staked

Amount won = $258.35

Amount staked = $1.15

Thus;

Net profit on winning = $258.35 - $1.15

Net profit on winning = $257.20

D) If we call the net profit "y", then Expected value is:

E(y) = 257.2(0.001) - 1.15(1 - 0.001)

E(y) = 0.2572 - 1.14885

E(y) = -0. 89165

E) We are told that:If you bet $ 1.15 in a certain state's Pick 4 game, the expected value is negative −$0.89

The expected value of -0.89 in pick 4 is better than that in pick 3 because it's larger.

6 0

3 years ago

The private school enrollment of a city is 12.000. Enrollment is increasing at a rate of 4.5% annually. What would the

irakobra [83]

Answer:

28940.568

Step-by-step explanation:

3 0

2 years ago

A regional planner employed by a public university is studying the demographics of nine counties in the eastern region of an Atl

Brilliant_brown [7]

Answer:

Step-by-step explanation:

Hello!

Given the variables:

X₁: Median Age

X₂: Median Income

b) Considering it from a logical point of view, income changes with age, for example, the more experienced the worker is you would think he would get a better paying job than a younger worker who is just starting. Then the dependent variable will be the median income and the independent variable will be the median age.

a) and c)

To see if there is a linear regression between the median income and median age you have to conduct a hypothesis test for the slope. If the slope is equal to zero, there is no linear regression between the two variables, if it is different to zero, there is a regression between the two of them:

H₀: β=0

H₁: β≠0

α: 0.05

$t= \frac{b-\beta }{Sb} ~~t_{n-2}$

The estimated regression equation for this regression ^Yi= 20.01 + 0.50X

The standard deviation for the slope is Sb= 0.11

$t_{H_0}= \frac{0.50-0}{0.11} = 4.545$

And the p-value for the test is 0.0022

The p-value is less than the level of significance I choose, so the decision is to reject the null hypothesis. You can conclude that there is a linear regression between these two variables.

The correlation coefficient between the median income and the median age is r= 0.87 ⇒ This means you could expect a positive and strong linear correlation between the two variables.

d)

The slope represents how much the variable Y is modified whenever the variable X increases one unit.

In this example: Is the modification of the population mean of the median income, when the median age increases one year.

5 0

3 years ago