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3 years ago

The ratio of the surface areas of two similar solids is 4:49. What is the ratio of a volumes?

Mathematics

1 answer:

Fynjy0 [20]3 years ago

6 0

Answer: 8/343

Step-by-Step:

If two similar solids have a scale factor of a:b then,

The ratio of their surface areas (2D) is- a^2:b^2

The ratio of their volume (3D) is- a^3:b^3

First you want to square root the scale factor numbers to find the original value. Then you cube the original numbers to find the answer.

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600 thousands = how many tens?

san4es73 [151]

The answer is 60,000. because it would equal six hundred thousand, and that divided by 10 is 60,000

8 0

3 years ago

15 POINTS!!! (16*4^3*8^8)^5 Find the answer and show work how you got it

777dan777 [17]

Answer:

2^170

Step-by-step explanation:

(16 x 4^3 x 8^8)^ 5

- start by converting it all to a common base

(2^4 x 2^3 x 2^24)^5

- calculate the product, by adding all the powers

(2^34)^5

= 2^170

5 0

3 years ago

Read 2 more answers

What is the probability that a random person who tests positive for a certain blood disease actually has the disease, if we know

xeze [42]

Answer:

Step-by-step explanation:

Hello!

Any medical test used to detect certain sicknesses have several probabilities associated with their results.

Positive (test is +) ⇒ P(+)

True positive (test is + and the patient is sick) ⇒ P(+ ∩ S)

False-positive (test is + but the patient is healthy) ⇒P(+ ∩ H)

Negative (test is -) ⇒ P(-)

True negative (test is - and the patient is healthy) ⇒ P(- ∩ H)

False-negative (test is - but the patient is sick) ⇒ P(- ∩ S)

The sensibility of the test is defined as the capacity of the test to detect the sickness in sick patients (true positive rate).

⇒ P(+/S) = P(+ ∩ S)

P(S)

The specificity of the test is the capacity of the test to have a negative result when the patients are truly healthy (true negative rate)

⇒ P(-/H) = P(- ∩ H)

P(H)

For this particular blood disease the following probabilities are known:

1% of the population has the disease: P(S)= 0.01

95% of those who are sick, test positive for it: P(+/S)= 0.95 (sensibility of the test)

2% of those who don't have the disease, test positive for it: P(+/H)= 0.02

The probability of a person having the blood sickness given that the test was positive is:

P(S/+)= P(+ ∩ S)

P(+)

The first step you need to calculate the intersection between both events + and S, for that you will use the information about the sickness prevalence in the population and the sensibility of the test:

P(+/S) = P(+ ∩ S)

P(S)

P(+/S)* P(S) = P(+ ∩ S)

P(+ ∩ S) = 0.95*0.01= 0.0095

The second step is to calculate the probability of the test being positive:

P(+)= P(+ ∩ S) + P(+ ∩ H)

Now we know that 1% of the population has the blood sickness, wich means that 99% of the population doesn't have it, symbolically: P(H)= 0.99

Then you can clear the value of P(+ ∩ H):

P(+/H) = P(+ ∩ H)

P(H)

P(+/H)*P(H) = P(+ ∩ H)

P(+ ∩ H) = 0.02*0.99= 0.0198

Next you can calculate P(+):

P(+)= P(+ ∩ S) + P(+ ∩ H)= 0.0095 + 0.0198= 0.0293

Now you can calculate the asked probability:

P(S/+)= P(+ ∩ S) = 0.0095 = 0.32

P(+) 0.0293

I hope it helps!

6 0

2 years ago

If Z1 and Z4 are adjacent and

Andrew [12]

<h3>Answer: B) Linear pair postulate</h3>

Explanation:

As the name implies, "linear pair" means the two angles combine to form a straight line of 180 degrees. Think of gluing the angles together.

As an example, let's say angle 1 was 50 degrees and angle 4 is 130 degrees. They combine to 50+130 = 180 which is a straight angle. I recommend using a protractor to help draw these angles.

7 0

2 years ago

Show work please! I don't understand how to get this answer! I will give brainliest to the best answer!

Marina86 [1]

Answer:

(x,y,z) = (2,-2,1)

Step-by-step explanation:

Three equations with three variables are given. Take two equations at a time to eliminate one variable.

x + y - z = -1 .....(1)

4x -3y + 2z = 16 .....(2)

2x - 2y - 3z = 5 ......(3)

Solve (1) and (3) to eliminate z.

To do that multiply (1) by 2 and add (1) and (2). We get:

4x - 5z = 3 ......(4)

Now, solve (2) and (3) and subtract them. We get:

2x + 13z = 17 ......(5)

Solve (4) and (5). Multiply (5) by 2 and subtract. We get:

z = 1

Substituting z = 1, in (4) we get: x = 2.

Now to find y, substitute values of x and y in (1).

⇒ x + y - z = -1 ⇒ 2 + y - 1 = -1

⇒ y = -2

∴ Values of (x, y, z) = (2, -2, 1).

4 0

3 years ago