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4 years ago

Determine the length arc of JL

Mathematics

2 answers:

Novosadov [1.4K]4 years ago

7 0

Answer:59/12 pie

Step-by-step explanation:

I just took the test.

Paladinen [302]4 years ago

5 0

Answer:

The solution is

π.

Step-by-step explanation:

Arc Length=

m(ARC)

360

· 2πr

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What is the value of x in the equation? 2/3 (x + 6) = -18

Law Incorporation [45]

The answers to the question is -33

4 0

3 years ago

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If you have a rectangular bathtub, what would represent the volume?

zlopas [31]

The amount of water that fills up the tub !

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2 years ago

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A research study uses 800 men under the age of 55. Suppose that 30% carry a marker on the male chromosome that indicates an incr

ss7ja [257]

Answer:

a) There is a 12.11% probability that exactly 1 man has the marker.

b) There is a 85.07% probability that more than 1 has the marker.

Step-by-step explanation:

There are only two possible outcomes: Either the men has the chromosome, or he hasn't. So we use the binomial probability distribution.

Binomial probability

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem, we have that:

30% carry a marker on the male chromosome that indicates an increased risk for high blood pressure, so $\pi = 0.30$

(a) If 10 men are selected randomly and tested for the marker, what is the probability that exactly 1 man has the marker?

10 men, so $n = 10$

We want to find P(X = 1). So:

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 1) = C_{10,1}.(0.30)^{1}.(0.7)^{9} = 0.1211$

There is a 12.11% probability that exactly 1 man has the marker.

(b) If 10 men are selected randomly and tested for the marker, what is the probability that more than 1 has the marker?

That is $P(X > 1)$

We have that:

$P(X \leq 1) + P(X > 1) = 1$

$P(X > 1) = 1 - P(X \leq 1)$

We also have that:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

$P(X = 0) = C_{10,0}.(0.30)^{0}.(0.7)^{10} = 0.0282$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0282 + 0.1211 = 0.1493$

Finally

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.1493 = 0.8507$

There is a 85.07% probability that more than 1 has the marker.

3 0

3 years ago

If ABCD is a parallelogram find the value of unknow size

Keith_Richards [23]

Step-by-step explanation:

Hey, there!!

As it is a parallelogram, remember basic properties of parallelogram,

Their opposite sides are parallel and equal to eachother.
Their opposite angles are equal.
They have properties of parallel lines too.

Now, lets solve your question.

b = (7×10)°

Therefore, b= 70°.

now, (3x+10°)+b=180° { co- interior angle of a triangle sum is 180°}.

or, 3x= 180°-80°

or, x= 100°/3

Therefore, x= 33° { rounding off we get 33}.

w+ b =180°

w+70°=180° { coointerior angles are equal}.

Therefore, w =110°

Hope it helps....

5 0

4 years ago

Solve these equations for x. 1. 12+6x = 5-2 2. X-4 = {(6x – 54) 3. – (3x – 12) = 9x – 4

Fynjy0 [20]

X for the equations are:

1.-1.5
2.10
3.1.333

8 0

3 years ago