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3 years ago

Solve the equation for x. For each step, describe the operation and/or property used.

Mathematics

1 answer:

Phoenix [80]3 years ago

8 0

Answer:

x = 5

Step-by-step explanation:

Start by distributing the 5 to remove parentheses. To do this multiply the numbers and variable in the parentheses by 5.

10x - 20 - 11 = 4 + 3x

Next. you want to get the variables to one side. This is done by subtracting 3x from both sides.

7x - 20 - 11 = 4

Now solve the -20 - 11.

7x - 31 = 4

You need to have the variable all by itself. To do this, first add -31 to both sides.

7x = 35

Finally divide by 7.

x = 5

Hope this helped.

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Which graph shows the solution set of the compound inequality 1.5x-1>6.5 or 7x+3<-25

ad-work [718]

For this case we have the following inequations:
1.5x-1> 6.5
7x + 3 <-25
Clearing x from each one we have:
For 1.5x-1> 6.5:
1.5x> 6.5 + 1
1.5x> 7.5
x> 7.5 / 1.5
x> 5
For 7x + 3 <-25:
7x <-25-3
7x <-28
x <-28/7
x <-4
The solution set is:
(inf, -4) U (5, inf)
Answer:
See attached image

8 0

3 years ago

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes

andre [41]

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that $m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833$

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

$P(X > 3) = e^{-0.0833*3} = 0.7788$

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

6 0

3 years ago

Which of the following expressions could be used to find the perimeter of this figure?

Burka [1]

Answer:

Step-by-step explanation:

four of the sides are equal to 18mm, so that would be the 4(18mm), and then the two other sides are equal to 24mm, which is 2(24mm). Your full equation would be:

P= 4(18mm) + 2(24mm)

4 0

3 years ago

Read 2 more answers

3/7 × -2 1/5 i really need help i cant figure it out

Vika [28.1K]

3/7 * -2 1/5 = (turn ur mixed number into an improper fraction)
3/7 * - 11/5 = (now just multiply straight across)
(3 * -11) / (7 * 5) = -33/35 <====

5 0

3 years ago

Help me with this equation Please

kykrilka [37]

Answer:

$2598.80

Step-by-step explanation:

49 at $12.80 per ticket = $627.20

106 at $18.60 per ticket = $1971.60

Total = $2598.80

3 0

2 years ago