1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
denis-greek [22]
3 years ago
14

Simplify the following expression:

Mathematics
1 answer:
inysia [295]3 years ago
4 0
If you would like to simplify <span>7x − 4y + 5z − 2x − 10y + z, you can do this using the following steps:

</span><span>7x − 4y + 5z − 2x − 10y + z = 7x - 2x - 4y - 10y + 5z + z = 5x - 14y + 6z
</span>
The correct result would be <span>5x - 14y + 6z.</span>
You might be interested in
Simplify each expression
joja [24]

Answer:

14y

8x

10x

8x+4

6x+6

8x+4

8 0
3 years ago
Lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. a bank conducts inter
Otrada [13]
Part A:

Given that lie <span>detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector correctly determined that a selected person is saying the truth has a probability of 0.85
Thus p = 0.85

Thus, the probability that </span>the lie detector will conclude that all 15 are telling the truth if <span>all 15 applicants tell the truth is given by:

</span>P(X)={ ^nC_xp^xq^{n-x}} \\  \\ \Rightarrow P(15)={ ^{15}C_{15}(0.85)^{15}(0.15)^0} \\  \\ =1\times0.0874\times1=0.0874
<span>

</span>Part B:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.25
Thus p = 0.15

Thus, the probability that the lie detector will conclude that at least 1 is lying if all 15 applicants tell the truth is given by:

P(X)={ ^nC_xp^xq^{n-x}} \\ \\ \Rightarrow P(X\geq1)=1-P(0) \\  \\ =1-{ ^{15}C_0(0.15)^0(0.85)^{15}} \\ \\ =1-1\times1\times0.0874=1-0.0874 \\  \\ =0.9126


Part C:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.15
Thus p = 0.15

The mean is given by:

\mu=npq \\  \\ =15\times0.15\times0.85 \\  \\ =1.9125


Part D:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.15
Thus p = 0.15

The <span>probability that the number of truthful applicants classified as liars is greater than the mean is given by:

</span>P(X\ \textgreater \ \mu)=P(X\ \textgreater \ 1.9125) \\  \\ 1-[P(0)+P(1)]
<span>
</span>P(1)={ ^{15}C_1(0.15)^1(0.85)^{14}} \\  \\ =15\times0.15\times0.1028=0.2312<span>
</span>
8 0
3 years ago
1 hour = 3600 seconds and 1 mole = 5,280 feet. Make a conjecture about how you could convert a speed of 15 miles per hour to fee
Keith_Richards [23]
We know that speed (rate) is equal to distance over time.

The current unit of distance is miles, and we want to convert it to feet. The unit of time is hours, and we want seconds. In order to do this, we need to create a conversion factor.

Since 1 \ mi = 5,280 \ ft and 1 \ hr = 3,600 \ s, we will use these are our conversion factors.

The goal in a dimensional analysis problem like this is for your units to work out. Remember, we want feet per second.

We write speed =  \dfrac{15 \ mi}{hr} *  \dfrac{5,280 \ ft}{1 \ mi} *  \dfrac{1 \ hr}{3,600 \ s} \\  \\ speed =  \dfrac{22 \ ft}{s}.

You may wonder why in the conversion factor, we chose to put feet over miles and hours over seconds. This is again because we want our units to cancel. If you have one unit the numerator and the same one in the denominator, the units cancel out.

In sum, the answer is 22 ft/s.
3 0
3 years ago
Help me please thank you
Licemer1 [7]
Not sure if it’s A or C because both of them seem to have the same sides and angles, or maybe it’s just the camera quality. I have a feeling it’s C because if I look closely the two triangles on A look a little different size wise but I don’t know.
7 0
3 years ago
Algebra 2. Help! <br><br> Which grows faster as x increases, x3 or 3x? Explain.
lesya692 [45]
X^3 grows much faster. Definition of exponential growth vs linear growth
6 0
3 years ago
Other questions:
  • Jacob is ordering custom T-shirts for his soccer team. Long-sleeved shirts cost $15 each and short-sleeved shirts cost $10 each.
    10·2 answers
  • Help plz. I hope you can tell with the picture says because I’m looking at it right now and I definitely can.
    5·1 answer
  • What is the difference between assets and liquid assets? a. All assets represent money, but only liquid assets can be easily tur
    12·2 answers
  • 58:27
    14·2 answers
  • HELP I NEED HELP ASAP
    10·1 answer
  • Please answer and explain I’ll mark brainliest!!!!!
    7·1 answer
  • WILL GIVE BRAINLIEST AND 30 POINTS
    10·2 answers
  • Write the equation of a line with the slope of -7 and passing through the point (2, 2).​
    6·1 answer
  • Kuvvet bir şeyi olçen şeye kuvvet denir​
    6·1 answer
  • Solve the inequality for w.<br> Simplify your answer as much as possible.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!