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3 years ago

Solve the inequality. Graph the solution.

Mathematics

2 answers:

Umnica [9.8K]3 years ago

7 0

$-14(d+1)-\dfrac{8}{7}$

mr Goodwill [35]3 years ago

5 0

Answer:

d> -8/7

Step-by-step explanation:

−14(d+1)<2

Distribute

-14d -14 <2

Add 14 to each side

-14d -14+14 <2+14

-14d < 16

Divide by -14 Remember to flip the inequality since we are dividing by a negative

-14d/-14 >16/-14

Divide the top and bottom by 2

d> -8/7

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How do you calculate a nation's per capita income? A. Divide the total income by the size of the population. B. Divide the size

lara [203]

Answer:

Step-by-step explanation:

The per capita income is the income of a person in a nation. The per capita is calculated by dividing the gross income of the nation by total population.

Let

Pci = Per Capita Income

I = Total income

and

P = Total population

Then,

Pci = I/P

3 0

3 years ago

Read 2 more answers

A soap manufacturer advertises that it has increased the size of their bottle of dishwashing soap to 18.4 ounces, which is 5% mo

miskamm [114]

Based on the information given the original size of the bottle is 17.5 ounces.

Using this formula

Original size of the bottle =New bottle size / Percentage increase

Where:

New bottle size=18.4 ounces

Percentage increase=(1+0.05)=1.05

Let plug in the formula

Original size of the bottle=18.4/(1+0.05)

Original size of the bottle=18.4/1.05

Original size of the bottle=17.5 ounces

Inconclusion the original size of the bottle is 17.5 ounces.

Learn more about original size of the bottle here:brainly.com/question/25001466

7 0

2 years ago

what is the slope of the line that passes through the points -10, 8 and -15 , -7 write your answer in simplest form 20 points

murzikaleks [220]

Answer: -3 fraction form

-5

Step-by-step explanation:

3 0

3 years ago

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.

Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

$f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}$

The probability for exponential distribution is given as:

$P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}$

a) P( time between the next two calls will be 54 seconds or less)

$P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763$

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

b) P(time between the next two calls will be greater than 118.5 seconds)

$p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285$

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

6 0

4 years ago

When tolls on the Dulles Airport Greenway were reduced from $2.25 to $1.50, traffic increased from 18,000 to 20,000 trips a day.

BaLLatris [955]

Answer:

The price elasticity demand for the Dulles Airport Greenway = -0.33

Step-by-step explanation:

Price elasticity of demand is the ratio of how much the quantity of good demanded changes compared to the original demand divided by the change in price compared to the original price of the good.

Mathematically,

Price elasticity of demand = (ΔQ/Q) ÷ (ΔP/P)

ΔQ = Change in quantity demanded = 20000 - 18000 = 2000

Q = initial quantity demanded = 18,000

ΔP = Change in price = 1.5 - 2.25 = -$0.75

P = Original price = $2.25

price elasticity of demand

= (2000/18000) ÷ (-0.75/2.25)

= - 0.3333

Hope this Helps!!!

8 0

4 years ago