All categories

4 years ago

Simplify c + 6 < -20

Mathematics

1 answer:

Stels [109]4 years ago

7 0

Answer:

Step-by-step explanation:

c + 6 < -20

Subtract 6 from both side

c +6 -6 < -20-6

c < -26

So value of c should be less than -26. Value of c = { - ∞ ...... -28, - 27 }

Eg:

If c = -27

-27 + 6 = - 21 . -21 is less than -20

You might be interested in

A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns shown, making the

Leno4ka [110]

Answer:
The original selling price is $520.632
Explanation:
Consider the initial selling price be $x
After marking down 10%,
Final Selling price = Selling price(1-10%)
Selling price = x – 10% of x = x – 0.1x = 0.9x
After marking 30%
Final Selling price = Selling price(1-10%)
Selling price = 0.9x – 0.3*0.9x = 0.9x – 0.27x = 0.63x
According to the question,
0.63x = 328

Therefore, the original selling price is $520.632

5 0

3 years ago

Read 2 more answers

Using PEMDAS. Trying to check my answer to see if I did this correctly. <br> 94-(5x6)/6x11

choli [55]

Answer:

Step-by-step explanation:

4 0

3 years ago

United Flight 15 from New York's JFK airport to San Francisco uses a Boeing 757-200 with 182 seats. Because some people with res

Tcecarenko [31]

Answer:

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

Step-by-step explanation:

For each passenger, there are only two outcomes possible. Either they show up for the flight, or they do not show up. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

A probability is said to be unusually low if it is lower than 5%.

For this problem, we have that:

There are 200 reservations, so $n = 200$ .

A passenger consists in a passenger not showing up. There is a .0995 probability that a passenger with a reservation will not show up for the flight. So $\pi = 0.0995$ .

Find the probability that when 200 reservations are accepted for United Flight 15, there are more passengers showing up than there are seats available.

X is the number of passengers that do not show up. It needs to be at least 18 for the flight not being overbooked. So we want to find $P(X < 18)$ , with $\pi = 0.0995, n = 200$ . We can use a binomial probability calculator, and we find that:

$P(X < 18) = 0.2927$ .

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

5 0

3 years ago

8^3*8^-5*8^y=1/8^2, what is the value of y in the product of powers below?

Aleks04 [339]

For this case we have that by definition of multiplication of powers of the same base, the same base is placed and the exponents are added:

$a ^ n * a ^ m = a ^ {n + m}$