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3 years ago

Find the value of x in the kite below. 60° O x = [?]

Mathematics

1 answer:

EastWind [94]3 years ago

3 0

Answer:

Step-by-step explanation:

The given is right triangle with angle measure 90-60 and 30 degrees as we can see on the image.

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If 12 counters are three-fourths of a set of counters, draw a full set of these counters.

lapo4ka [179]

We are given:

12 counters which are three-fourths of a set of counters, meaning the total number of counters in a set is determined by:

total number of counters in a set = 12/(3/4) = 16 counters

Therefore, we need to draw 16 counters and shade 12 of them to represent the three-fourths of the set.

5 0

3 years ago

There has been a great deal of controversy over the last several years regarding what types of surveillance are appropriate to p

alexira [117]

Answer:

Given that a person was identified as a future terrorist, there is a 2.8544% probability that he/she actually is a future terrorist.

Step-by-step explanation:

There are 1000 future terrorists in a population of 300,000,000. So the probability that a randomly selected person in this population is a terrorist is:

$P = \frac{1,000}{300,000,000} = 0.000003 = 0.0003%$

So, we have these following probabilities:

A 99.9997% probability that a randomly chosen person is not a terrorist.

A 0.0003% probability that a randomly chosen person is a terrorist.

A 98% probability that a future terrorist is correctly identified

A 99.9% chance of correctly identifying someone who is not a future terrorist. This also means that there is a 0.01% probability of someone who is not a terrorist being identified as one.

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

Here we have:

What is the probability that the person is a terrorist, given that she was identified as a terrorist.

P(B) is the probability that the person is a terrorist. So $P(B) = 0.000003$

P(A/B) is the probability that the person was identified as a terrorist, given that she is a terrorist. The problem states that the system has a 98% chance of correctly identifying a future terrorist, so $P(A/B) = 0.98$

P(A) is the probability of a person being a identified as a terrorist. So

$P(A) = P_{1} + P_{2}$

$P_{1}$ is the probability that a person is a terrorist and was identified as one. So:

$P_{1} = 0.000003*0.98 = 0.00000294$

$P_{1}$ is the probability that a person is not a terrorist and, but was identified as one. So:

$P_{2} = 0.999997*0.0001 = 0.0000999997$

$P(A) = P_{1} + P_{2} = 0.00000294 + 0.0000999997 = 0.000103$

The answer is:

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.000003*0.98}{0.000103} = 0.028544$

Given that a person was identified as a future terrorist, there is a 2.8544% probability that he/she actually is a future terrorist.

3 0

3 years ago

Does someone knows how to do this i need help ASAPPP!!!!

Ivahew [28]

Answer:

In point number 3 the angles shown are alternate angles and in point number 4 it is saying that the lines PQ and SR are equal. In point 5 it is saying that the two triangles SRT and QPT are equal because of A. A. S. axiom from statement 3 and 4.

4 0

3 years ago

identify the initial amount,a,and the growth factor,b,in each exponential function.Break b into (1+r)where r is the rate of grow

Alla [95]

Given function : $y=1.05(1.46)^x$

We need to identify a " initial amount", b "growth factor", r " rate of growth".

We know, exponential growth formula

$y=a(b)^x$ , where a is initial amount, b is growth factor. On comparing with given function let us find values of a and b.

$y=1.05(1.46)^x$ ⇔ $y=a(b)^x$ .

We can see a= 1.05 and b = 1.46.

Now, b=1+r.

Therefore, 1+r =1.46.

Subtracting 1 from both sides, we get

1+r-1 =1.46-1

r = 0.46.

On converting 0.46 into percentage, we get

0.46 × 100 = 46.

Therefore, intial amount a = a= 1.05 , growth factor b = 1.46, and the rate of growth r= 46%.

5 0

3 years ago

A biologist begins working with a sample containing 20,000 bacteria. The population size doubles every 10 days according to the

sammy [17]

Answer

p(t) = 20,000^10 root of 2^t/10 root of 2^7. i think

Step-by-step explanation:

5 0

3 years ago

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