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Solve the inequality

guajiro [1.7K]

Answer:

c > 9

Step-by-step explanation:

$\dfrac{2c}{3}+1 > 7$

Subtract 1 from both sides:

$\implies \dfrac{2c}{3} > 6$

Multiply both sides by 3:

$\implies 2c > 18$

Divide both sides by 2:

$\implies c > 9$

7 0

3 years ago

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There are two types of farming tractors on the market, the FT250 and the FT500. The only difference between the two is that the

irina [24]

Answer:

The statistical value farmers place on avoiding a tractor accident is $200,000.

The statistical value farmers place on avoiding a tractor fatal accident is $15,000,000.

Step-by-step explanation:

We have two tractors, with different probabilities of non-fatal and fatal accidents, and also different prices.

We will use this price difference to estimate how it is valued a non-fatal and fatal accident.

The difference in prices is:

$\Delta P=125,000-137,000=-12,000$

The expected non-fatal accidents for each tractor is

$FT500\rightarrow 1/10=0.1\\\\FT250 \rightarrow 1/25=0.04$

The difference in expected non-fatal accidents is:

$\Delta NFA = 0.10-0.04=0.06$

For a 6% more chance of having an accident, the farmers discounts 12,000 for the price of the less safe of the tractors.

Then, we can calculate the statistical value farmes place on avoiding a tractor accident as:

$V_{NFA}=\frac{-\Delta P}{\Delta NFA} =\frac{12,000}{0.06} =200,000$

The expected fatal accidents for each tractor is

$FT500\rightarrow 1/1,000=0.0010\\\\FT250 \rightarrow 1/5,000=0.0002$

The difference in expected fatal accidents is:

$\Delta NFA = 0.0010-0.0002=0.0008$

For a 0.08% more chance of having an fatal accident, the farmers discounts 12,000 for the price of the less safe of the tractors.

Then, we can calculate the statistical value farmes place on avoiding a tractor accident as:

$V_{FA}=\frac{-\Delta P}{\Delta FA} =\frac{12,000}{0.0008} =15,000,000$

8 0

3 years ago

Plz help me !!!!!!!!!!!

Elodia [21]

Answer:

Step-by-step explanation:

Only (-3)(-5) = + 15, so the fourth answer is the correct one.

7 0

3 years ago

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1 7/8 divided by 2 2/5

Elan Coil [88]

Answer:1 23/62

Step-by-step explanation:

17

8

22

5

=1

23

62

7 0

3 years ago

In a school,2/3 of the students study a language.

Cloud [144]

Answer:

The ratio is 4/11

Step-by-step explanation:

Let

x ----> the total number of students in a school

we know that

1) 2/3 of the students study a language.

so

(2/3)x ----> number of students studying a language

and

x-(2/3)x=(1/3)x ---->number of students who do not study a language

2) Of those who study a language 2/5 were studying french

so

(2/3)x(2/5)=(4/15)x ----> number of students studying French

and

(2/3)x(3/5)=(6/15)x ----> number of students studying a language but not studying French

3) we know that

The number of students who do not study French is equal to the number of students who do not study a language plus the number of students who study a language but do not study French.

(1/3)x+(6/15)x=(11/15)x ----> number of students who not study French

(4/15)x ----> number of students who study French

4 ) Find the ratio of students who study french and who do not

(4/15)x/(11/15)x=4/11

7 0

3 years ago