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Mademuasel [1]
2 years ago
11

James defines an angle as "a figure consisting of two rays." His statement is not precise enough because he should specify that

Mathematics
2 answers:
gogolik [260]2 years ago
7 0

1: The rays must have a common endpoint

2: Defined term

I took the test and got both right :))

riadik2000 [5.3K]2 years ago
3 0

James should define that the rays must be collinear. the two rays coming from the same point will form collinear rays which will form an angle at end point.

The statement of james should be precise in order to clearly explain the angle formation.

The two non collinear rays will form an angle at end point where they meet with each other.

The defined vertex will form the appropriate angle. there should be defined term for the non collinear rays.

Learn more at brainly.com/question/24373158

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Suppose that an experiment consists of flipping a coin 3 times and observing the resulting sequence of heads and tails. Find the
ki77a [65]

Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.

The probability of 3 tails is P(X = 3), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125

0.125 = 12.5% probability of observing exactly 3 tails.

More can be learned about the binomial distribution at brainly.com/question/24863377

3 0
2 years ago
Fourteen percent of the town’s population are above the age of 65. If there are about
Gennadij [26K]

Answer:

So if 14% are over 65, and 320 residents are over 65, then we can say that 14% of the town is 320. Then, we can divide by 14 to find 1%, which is 22.857142857 Now we can multiply this by 100 to get 2285.7142857.

Step-by-step explanation:

6 0
3 years ago
Write an inequality for the situation.<br> all real numbers y that are less than 4 or greater than 9
Arturiano [62]
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5 0
2 years ago
Which of the following can be modeled with an exponential function? Select all that apply.
bogdanovich [222]

Answer: The answers are

(ii) The cost to attend Universal Studios increases by 1% each year,

(iii) An endangered species population is decreasing by 12% each year,

(iv) The population of a town that is growing by 5% each year.

Step-by-step explanation:  We are given five functions and we are to select those which can be modelled with an exponential function.

(i) Here, height is varying with respect to time, so it will be a linear function.

(ii) Here, the cost to attend Universal Studios is increasing by 1% every year, so this will be an exponential function.

(iii) Here, an endangered species population is decreasing by 12% each year.

So, this will also be an exponential function.

(iv) Since we are considering the distance travelled by the bicycle at a constant speed of 25 mph, so this will be a linear function.

(v) Here also the population is growing by 5% each year. So, the function will be exponential.

Thus, the correct answer is second, third and fifth.

3 0
3 years ago
Read 2 more answers
If you are given the graph of h(x) = log. x, how could you graph m(x) = log2(x+3)?
Agata [3.3K]

Answer:

Option (d).

Step-by-step explanation:

Note: The base of log is missing in h(x).

Consider the given functions are

h(x)=\log_2x

m(x)=\log_2(x+3)

The function m(x) can be written as

m(x)=h(x+3)           ...(1)

The translation is defined as

m(x)=h(x+a)+b           .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

a=3,b=0

Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).

Hence, option (d) is correct.

3 0
2 years ago
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