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3 years ago

In your own words, describe how to simply expressions.

2 answers:

7 0

First you gotta remove all parentheses by multiplying the factors next remove all grouping if the terms are containing exponents then you combine all terms and lastly you combine the constants

erik [133]3 years ago

4 0

When you walk down the street then 7 dogs start chasing you

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What's the answer to the equation of 4x^2+25 and show yor work please and thank you

padilas [110]

4x^2+25=4x^2=-25=x^2=-25/4 has no solution. because, negative number do not live under radical except complex number

4 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 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 the lie detector will conclude that all 15 are telling the truth if all 15 applicants tell the truth is given by:

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


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

 $P(X\ \textgreater \ \mu)=P(X\ \textgreater \ 1.9125) \\ \\ 1-[P(0)+P(1)]$

 $P(1)={ ^{15}C_1(0.15)^1(0.85)^{14}} \\ \\ =15\times0.15\times0.1028=0.2312$

8 0

4 years ago

Wht equation describes a parabola that opens up or down and whos vertex is at the point (h,v)

LUCKY_DIMON [66]

Answer:

$f(x)=a(x-h)^2+k$

Vertex form.

Step-by-step explanation:

You are talking about the vertex form for a parabola.

$f(x)=a(x-h)^2+k$ tells us:

A) The vertex is (h,k).

B) Open up (if a is positive) or open down (if a is negative)

C) a also tells us how much it is vertically stretched or compressed.

7 0

3 years ago

Imagine you live in a big country. There are no forests in your country, but there are lots of farms and lots of food. The count

Fed [463]

Trading your food for the neighboring country's wood. You can control how much wood they cut down, slowing down the change of climate in your country, and can help them with their food shortage at the same time.

5 0

2 years ago

Read 2 more answers

A trapezium of area 105 cm2 has parallel sides of length 5cm and 9 cm how far apart are the parallel sides

Tanzania [10]

For a trapezoid:
the area equals the product of half the sum of the two bases' length and the normal height between them

so that, we can write:
$105= \frac{5+9}{2}*h\\~\\h=15~~cm$

Hence the parallel sides are 15 cm apart.

I hope that helps!

6 0

4 years ago

In your own words, describe how to simply expressions.​

In your own words, describe how to simply expressions.