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2 years ago

7

The number of residents in a city is 57,000 people. The population is increasing each

1 answer:

vampirchik [111]2 years ago

8 0

Y = 0.012x + 57,000

12% translates to 0.012. That number is in front of the x because it changes yearly.

The 57,000 is added afterwards (b) because it was there from the beginning

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Slope-rate of change- “if there were 12,000 in the Atlantic Ocean in 1950 and there are 3,600 dolphins today, what is the yearly

jasenka [17]

$\bf \begin{array}{|cc|ll} \cline{1-2} \stackrel{x}{year}&\stackrel{y}{dolphins}\\ \cline{1-2} &\\ 1950&12000\\ 2018&3600 \\&\\ \cline{1-2} \end{array}~\hspace{5em}(\stackrel{x_1}{1950}~,~\stackrel{y_1}{12000})\qquad (\stackrel{x_2}{2018}~,~\stackrel{y_2}{3600}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3600-12000}{2018-1950}\implies \cfrac{-8400}{68}~~\approx~~ \stackrel{\textit{rate of change}}{-123.53}$

-8400/68 simplifies to to -2100/17, dolphins/year, so 2100 less dolphins every 17 years.

and we can just divide those to get the decimal amount of -123.53, which means, 123.53 less dolphins every year.

of course, there's no such a thing as 0.53 of a dolphin, so, we can say "about" 123 less dolphins per year.

5 0

2 years ago

A line extends from point T to point R. Point S is between points T and R. The space between T and S is labeled 3 x minus 4. The

Alenkasestr [34]

Answer:

x+5

Step-by-step explanation:

5 0

3 years ago

In the New York State Numbers Lottery, you pay $1 and can bet that the sum of the numbers that come up is 13. The probability of

Harman [31]

Answer:

The expected value of profit is -0.5125. This is expected loss as value is negative.

Step-by-step explanation:

We are given the following in the question:

P(winning) = 0.075

Thus,

P(Loosing) =

$1 - 0.075 = 0.925$

If we win we gain a profit of $5.50 and if we loose the lottery, we loose $1.

Thus, we can form the probability distribution in the following manner:

Event: Winning Loosing

Profit(x): +5.50 -1

P(x): 0.075 0.925

We have to calculate the expected value of the profit.

$E(X) = \displaystyle\sum x_i(P(x_i))\\E(x) = +5.50(0.075) + (-1)(0.925)\\E(x) = -0.5125$

Thus, the expected value of profit is -0.5125. This is expected loss as value is negative.

7 0

3 years ago

An electric company charges a certain rate per kilowatt-hour (kWh) of electricity used and an administrative fee of $3.50. The c

Triss [41]

Answer:

Variable $r$ represents the slope of the equation.

Step-by-step explanation:

Given that the administrative fees that company charge is $3.50.

Also, the Zhao has a bill of $63.25.

The equation used by Zhao is

$63.25=r(800)+3.50$

We can compare the equation of a line in the slope-intercept form.

$y=mx+c$

We can see the y-intercept is $3.50 that is a fixed cost. And the company charged $63.25 that is the dependent variable.

Also, variable $r$ that is the rate per kilowatt-hour (kWh) represents the slope of the equation.

4 0

3 years ago

Please help I need help with this question

denpristay [2]

Answer:

2.5% and 2.5 · 10^-3, 0.25, 2/5, √5

Step-by-step explanation:

0.25, 2/5, 2.5 · 10^-3, 2.5%, √5

Now let's list them all in the same form, why not decimals.

0.25 = 0.25

2/5 = 4/10 = 40/100 = 0.4

2.5 · 10^-3 = 2.5 · 0.01 = 0.025

2.5% = 0.025

√5 ≅ 2.236

5 0

2 years ago