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nexus9112 [7]
3 years ago
12

When simplified, the algebraic expression (2 a - 3 b ) 2 is a binomial. True or False

Mathematics
1 answer:
scoray [572]3 years ago
7 0
True i think but i'm not postive
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After eating at your favorite restaurant, you know that the bill before
PilotLPTM [1.2K]

You should leave $10.52 for waiter.

The total bill will be $67.33 including tax and tip.

Step-by-step explanation:

Given,

Bill before tax and tip = $52.60

Tip = 20% of pre tax amount

Amount of tip = \frac{20}{100}*52.60

Amount of tip = \frac{1052}{100}\\

Amount of tip = $10.52

Sales tax = 8%

Amount of sales tax = \frac{8}{100}*52.60

Amount of sales tax = 0.08*52.60

Amount of sales tax = $4.208

Final bill = Bill + Tip + Sales tax

Final bill = 52.60 + 10.52 + 4.208 = $67.33

You should leave $10.52 for waiter.

The total bill will be $67.33 including tax and tip.

Keywords: percentage, addition

Learn more about addition at:

  • brainly.com/question/833559
  • brainly.com/question/8054589

#LearnwithBrainly

8 0
4 years ago
Which of the following could be the probability distribution for a loaded number cube?
Ierofanga [76]
<h3>Answer: Choice B</h3>

=======================================================

Explanation:

The requirements for a probability distribution are this

  1. The individual probabilities must be between 0 and 1, inclusive of both endpoints. We can say 0 \le p \le 1 where p is an individual probability.
  2. The probabilities must sum to 1.

Condition #1 shown above allows us to rule out choice C due to -0.10 not being in the interval from 0 to 1.

We can also rule out choice D since the probabilities sum to this

0.20+0.15+0.20+0.20+0.20+0.20 = 1.15

The sum is too large. The sum needs to be 1.00 or just 1.

So that leaves choice A or choice B as the possible answer. Both distributions fit conditions #1 and #2 as shown above (I'll let you confirm these facts). However, choice A is ruled out because that distribution is considered fair. Each probability for choice A is equal, so each side of the cube is equally likely to be landed on.

For choice B, the probabilities are different, so we don't have a fair cube here and it is considered loaded or biased.

7 0
3 years ago
In a trolley ride around an amusement park, a child traveled from one signpost to a second signpost at a constant speed of 125 m
Inessa05 [86]

Answer:

Given speed of trolley = 125 meters per minute

Speed= 125 meters/minute\\\\Speed =\frac{125}{60}meters/second\\\\Speed=2.083m/s

Now we know that

Distance= Speed x time

Thus for the first case since the time of travel is less than 450 seconds thus the distance traveled is less than

Distance < 2.083 x 450 =937.5 meters

hence depending on the given information we cannot come to any conclusion weather the distance travelled is less than 800 m or greater than 800 m.

For the second case

since the time of travel is greater than 400 seconds

Thus the distance traveled is

Distance>2.083\times 400=833.2meters

which is greater than 800 meters.

4 0
4 years ago
Simplify the expression:<br><br> 4(-4 + 2z)=
alisha [4.7K]

Answer:

-16 + 8z

Step-by-step explanation:

4(-4 + 2z)=

Distribute the 4

4*-4 + 4(2z)

-16 + 8z

7 0
3 years ago
Could someone help me with this? Im lost
Talja [164]

A straight angle measures 180 degrees.

Angle x and the 150-degree angle form a straight angle.

x + 150 = 180

x = 30

Angle z and the 100-degree angle form a straight angle.

z + 100 = 180

z = 80

Now you know the measures of two angles of the three angles of the triangle. The sum of the measures of the angle of a triangle equals 180 degrees.

x + y + z = 180

30 + y + 80 = 180

y + 110 = 180

y = 70

Answer: x = 30; y = 70; z = 80

6 0
4 years ago
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