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andreev551 [17]
4 years ago
11

The surface area of the rectangular prism can be found using the expression 6x exponent 3 + 4x exponent 2 + 12x. if the value of

x is 3, what is the surface area, in square centimeters of the prism?
Mathematics
1 answer:
kupik [55]4 years ago
7 0

Answer:

234 cm²

Step-by-step explanation:

Given expression to represent the surface area of the rectangular prism is 6x^{3} +4x^{2} +12x

The given value of x is 3.

Now, finding value of expression by sustituting value of "x" as given.

Surface area of the rectangular prism = 6x^{3} +4x^{2} +12x

Surface area of the rectangular prism= 6\times 3^{3} +4\times 3^{2} +12\times 3

∴ Surface area of the rectangular prism= 6\times 27+ 4\times 9+ 12\times 3

Surface area of the rectangular prism= 162+36+36= 234\ cm^{2}

∴ Surface area of the rectangular prism= 234 cm²

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In a city school, 60% of students have blue eyes, 55% have dark hair, and 35% have blue eyes and dark hair. What is the probabil
gulaghasi [49]

Answer:

58%

Step-by-step explanation:

This is a problem of conditional probability.

Let A represent the event that student has dark hair.

So P(A) = 55% = 0.55

Let B represents the event that student has blue eyes.

So, P(B) = 60% = 0.60

Probability that student has blue eyes and dark hairs = P(A and B) = 35% = 0.35

We are to find the probability that a randomly selected student will have dark hair, given that the student has blue eyes. Using the given formula and values, we get:

P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\ P(A|B)=\frac{0.35}{0.60}\\\\ P(A|B)=0.58

Therefore, there is 0.58 or 58% probability that the student will have dark hairs, given that the student has blue eyes.

5 0
3 years ago
How do I solve this finding the first four of the sequence?
Gemiola [76]

Answer:

300,350,400,450

Step-by-step explanation:

the formula for any n term is:

tn=a1+(n-1)d

t1= 300+(1-1)d=300

t2= 300+(2-1)50= 350

t3= 300+(3-1)50= 400

t4= 300+(4-1)50 = 450

and so on...

5 0
3 years ago
Suppose that one person in 10,000 people has a rare genetic disease. There is an excellent test for the disease; 98.8% of the pe
nirvana33 [79]

Answer:

A)The probability that someone who tests positive has the disease is 0.9995

B)The probability that someone who tests negative does not have the disease is 0.99999

Step-by-step explanation:

Let D be the event that a person has a disease

Let D^c be the event that a person don't have a disease

Let A be the event that a person is tested positive for that disease.

P(D|A) = Probability that someone has a disease given that he tests positive.

We are given that There is an excellent test for the disease; 98.8% of the people with the disease test positive

So, P(A|D)=probability that a person is tested positive given he has a disease = 0.988

We are also given that  one person in 10,000 people has a rare genetic disease.

So,P(D)=\frac{1}{10000}

Only 0.4% of the people who don't have it test positive.

P(A|D^c) = probability that a person is tested positive given he don't have a disease = 0.004

P(D^c)=1-\frac{1}{10000}

Formula:P(D|A)=\frac{P(A|D)P(D)}{P(A|D)P(D^c)+P(A|D^c)P(D^c)}

P(D|A)=\frac{0.988 \times \frac{1}{10000}}{0.988 \times (1-\frac{1}{10000}))+0.004 \times (1-\frac{1}{10000})}

P(D|A)=\frac{2470}{2471}=0.9995

P(D|A)=0.9995

A)The probability that someone who tests positive has the disease is 0.9995

(B)

P(D^c|A^c)=probability that someone does not have disease given that he tests negative

P(A^c|D^c)=probability that a person tests negative given that he does not have disease =1-0.004

=0.996

P(A^c|D)=probability that a person tests negative given that he has a disease =1-0.988=0.012

Formula: P(D^c|A^c)=\frac{P(A^c|D^c)P(D^c)}{P(A^c|D^c)P(D^c)+P(A^c|D)P(D)}

P(D^c|A^c)=\frac{0.996 \times (1-\frac{1}{10000})}{0.996 \times (1-\frac{1}{10000})+0.012 \times \frac{1}{1000}}

P(D^c|A^c)=0.99999

B)The probability that someone who tests negative does not have the disease is 0.99999

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Which equation is the inverse of y = x² - 36?
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Answer:
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Steps:
The 5 options you listed are unclear to me. But I provided the correct answer above.
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2 years ago
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Darya [45]
Use the compound interest formula: A=P(1+i)^t.

P is the initial amount of the drug, 0.3ml.
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t is in seconds.

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4 0
3 years ago
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