MATHEMATICS COLLEGE

A theorem in geometry states that the measure of an inscribed angle is half the measure of its intercepted arc. In the figure, angle C intercepts arc AB and line AB is the diameter of the circle. Which equation is a step in showing that the measure of angle C=90 degrees?

Answers

Answer 1

Answer:

Answer:The fourth option

Step-by-step explanation:

Answer 2

Answer:

Answer:

The Fourth Answer

Step-by-step explanation:

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N f(x) =10-2( x ), Solve when given f(12) function notation

Answers

Answer:

-14

Step-by-step explanation:

$10 - 2(12) = - 14$

Help me please!!!!!!!!!!!!!

Answers

Step-by-step explanation:

0 < X < 24

.....................

Simplify 12x7y3 divided by 6x3y

Answers

Answer:

12x7y3

----------- = 6x4y3

6x3y

Step-by-step explanation:

In dividing these numbers, you simply subtract 6x from 12x and subtract 3y from 7y because 6x and 3y are both in the denominator. 3 is left alone.

Consider an unreliable communication channel that can successfully send a message with probability 1/2, or otherwise, the message is lost with probability 1/2. How many times do we need to transmit the message over this unreliable channel so that with probability 63/64 the message is received at least once? Explain your answer. Hint: treat this as a Bernoulli process with a probability of success 1/2. The question is equivalent to: how many times do you have to try until you get at least one success?

Answers

Answer:

6 times we need to transmit the message over this unreliable channel so that with probability 63/64.

Step-by-step explanation:

Consider the provided information.

Let x is the number of times massage received.

It is given that the probability of successfully is 1/2.

Thus p = 1/2 and q = 1/2

We want the number of times do we need to transmit the message over this unreliable channel so that with probability 63/64 the message is received at least once.

According to the binomial distribution:

$P(X=x)=(n!)/(r!(n-r)!)p^rq^(n-r)$

We want message is received at least once. This can be written as:

$P(X\geq 1)=1-P(x=0)$

The probability of at least once is given as 63/64 we need to find the number of times we need to send the massage.

$(63)/(64)=1-(n!)/(0!(n-0)!)(1)/(2)^0(1)/(2)^(n-0)$

$(63)/(64)=1-(n!)/(n!)(1)/(2)^(n)$

$(63)/(64)=1-(1)/(2)^(n)$

$(1)/(2)^(n)=1-(63)/(64)$

$(1)/(2)^(n)=(1)/(64)$

By comparing the value number we find that the value of n should be 6.

Hence, 6 times we need to transmit the message over this unreliable channel so that with probability 63/64.

Which expression has a value of 15 when p = 12?

Answers

Answer:p+3

Step-by-step explanation:

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Answers

Answer: 151

Step-by-step

you need to first find the area of each piece of the tent

the 2 rectangular flaps would be 6*8= 48 each

the bottom would be 4*8=32

to find the area of the triangular pieces we need to know the height of each triangle, right now we only know sides. To find the height (the altitude) you draw a line straight down to make a 90 degree angle.

that will also cut your base in half (2 instead of 4) and make 6 your hypotenuse

now use the Pythagorean theorem to find the height of the triangle

$a^(2) +b^(2) =c^(2) \n\na^(2) +2^(2) =6^(2) \na^(2) +4=36\na^(2) =32\na=√(32) = 5.66$

Area of a triangle is

$(1)/(2) bh\n(1)/(2) (4)(5.66)= 11.31$

the area of one triangle is 11.31

so together it is 48+48+32+11.31+11.31= 150.6

round up to 151

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A study compared surgery and splinting for subjects suffering from carpal tunnel syndrome. It was found that among 73 patients treated with surgery,there was a 92% success rate. Among 83 patients treated with splints, there was a 72% success rate. Calculations using those results showed that ifthere really is no difference in success rates between surgery and splints, then there is about 1 chance in 1000 of getting success rates like the onesobtained in this study. Which statement cannot be said?The better treatment for carpal tunnel syndrome is surgery.The result has practical significance.The recommended treatment for carpal tunnel syndrome is splinting.The result has statistical significance.