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2 years ago

What solid is generated when the semicircle is rotated about the line?

Mathematics

2 answers:

weqwewe [10]2 years ago

6 0

<h2>Answer:</h2>

The solid which is generated when the semicircle is rotated about the line is:

Sphere.

<h2>Step-by-step explanation:</h2>

We know that when a semicircle is rotated about any line then the three dimensional figure or a solid that is formed on this rotation transformation is Sphere.

Hence, the correct option is:

Sphere.

( Also, a cylinder is obtained when a right triangle is rotated about a given line.

and a cylinder is obtained when a rectangle is rotated about a given line )

ddd [48]2 years ago

4 0

The answer is hollow sphere

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In an article about the cost of health care, Money magazine reported that a visit to a hospital emergency room for something as

ASHA 777 [7]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Assume a normal distribution :

Mean (m) = 328

Standard deviation (sd) = 92

To obtain Zscore :

Zscore = (x - m) / sd

What is the probability that the cost will be more than $500?

x = $500

Zscore = (500 - 328) / 92 = 172 / 92 = 1.869 = 1.87

1 - p(Z < 1.87) = 1 - 0.9693 = 0.0307

b. What is the probability that the cost will be less than $250?

x = $250

Zscore = (250 - 328) / 92 = - 78 / 92 = - 0.8478 = - 0.85

p(Z < - 0.85) = 0.1977

c. What is the probability that the cost will be between $300 and $400?

x = 300

Zscore = (300 - 328) / 92 = - 28/ 92 = -0.30

p(Z < - 0.3) = 0.3821

x = 400

Zscore = (400 - 328) / 92 = 72/ 92 = 0.783

p(Z < 0.783) = 0.7823

0.7823 - 0.3821 = 0.4002

d. If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patient’s emergency room visit?

Probability is lower 8%

P (Z < Zscore) = 0.08

Zscore of 0.08 corresponds to - 1.41 on the z table

Zscore = (x - m) / sd

-1.41 = (x - 328) / 92

-129.72 = x - 328

-129.72 + 328 = x

x = 198.28

4 0

3 years ago

Find the limit as limit x->0, tan2x/x

kiruha [24]

We are given with the expression <span>tan2x / x</span> and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. The answer is zero over zero. This is indeterminate so we derive the terms accdg to L'hopital's rule. The derivative is 2 sec^2 2x/1. cos 2x is 1 so is sec^2 2x. Hence the answer is 2.

3 0

3 years ago

The population of a school and is increasing at a rate of 2%per year;6yearsPLEASE HElp <br> Thanks

Shkiper50 [21]

Answer:

It can be modeled with the equation $A=P(1.02)^6$ but needs a starting population number to finish.

Step-by-step explanation:

To find the population in a future year, use the formula:

$A = P (1+/-r)^t$

where A is the amount, p is the starting population, r is 2% or 0.02, and t is the number of years.

Since the population is increasing it is addition. Substitute r=0.02 and t=6. Without a starting population, we cannot find the population in 6 years.

$A = P (1+r)^t\\A=P(1+0.02)^6\\A=P(1.02)^6$