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OleMash [197]
2 years ago
11

Math help please! |120+x| x<-120

Mathematics
1 answer:
In-s [12.5K]2 years ago
4 0

Answer:

-120-x

Step-by-step explanation:

Given:

\displaystyle \large{|120+x| \quad (x < -120)}

This is the same as previous one. Recall modulus property:

\displaystyle \large{|a+x| = \begin{cases} a+x \quad (x \geq  -a) \\ -a-x \quad (x < -a) \end{cases}}

Keep in mind that |x+a| and |a+x| are equal via addition property.

Since the question gives interval of x < -120:

Therefore, the expression is -120-x

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CAN SOMEONE PLEASE HELP ME
Degger [83]

Answer:

38 degrees

Step-by-step explanation:

this is an isosceles triangle, meaning that the base angles are congruent.

the total triangle is equal to 180

so the equation would be: x=180 - (71+71)

evaluate:

x=180-142

x=38 degrees

Hope this helps :)

5 0
2 years ago
In the Ardmore Hotel, 20 percent of the guests (the historical percentage) pay by American Express credit card. (a) What is the
xxMikexx [17]

Answer:

(a) The expected number of guests until the next one pays by American Express credit card is 4.

(b) The probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of guests until the next one pays by American Express credit card

The probability that a guest paying by American Express credit card is, <em>p</em> = 0.20.

The random variable <em>X</em> follows a Geometric distribution since it is defined as the number of trials before the first success.

The probability mass function of <em>X</em> is:

P(X=x)=(1-p)^{x}p;\ x=0,1,2,3...,\ 0

(a)

The expected value of a Geometric distribution is:

E(X)=\frac{1-p}{p}

Compute the expected number of guests until the next one pays by American Express credit card as follows:

E(X)=\frac{1-p}{p}

         =\frac{1-0.20}{0.20}

         =4

Thus, the expected number of guests until the next one pays by American Express credit card is 4.

(b)

Compute the probability that the first guest to use an American Express is within the first 10 to checkout as follows:

P(X=10)=(1-0.20)^{10}\times0.20

                 =0.1073741824\times 0.20\\=0.02147483648\\\approx0.0215

Thus, the probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

3 0
3 years ago
How do you long divide step by step
atroni [7]

Answer:

https://www.wikihow.com/Do-Long-Division

Step-by-step explanation:

Hope this helps! It goes into detail. Can you make me brainliest?

5 0
3 years ago
A rectangular prism has a length of 14 cm, width of 2 cm, and height of 3 cm. What is the volume?
Cloud [144]

Answer: 84 cubic cm

Step-by-step explanation: You just do 14 times 2 and the answer times 3 which is 84 cubic cm.

4 0
3 years ago
Read 2 more answers
9. A cup of tea costs x pence. Coffee costs 20 pence more. Hermes buys 2 cups of tea and one cup of coffee. In total Hermes pays
qaws [65]

Answer:

  • £1.20

Step-by-step explanation:

<u>Given:</u>

  • Tea = x
  • Coffee = x + 0.2

<u>Comparing the total cost, work out the value of x:</u>

  • 2x + x + 0.2 = 3.80
  • 3x = 3.60
  • x = 1.20
5 0
2 years ago
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