MATHEMATICS COLLEGE

Explain how to write 2 dividid 5 as a fraction

Answers

Answer 1

Answer:

Answer:

2/5

Step-by-step explanation:

Two divided by 5 is simply written as 2/5.

Hope I helped!

Answer 2

Answer: 2/5 is how it’s written as a fraction, 2 is over 5, 2 goes inside and 5 outside when you write the division expression

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Which cannot be the angle measurements of triangle ABC? OmZA = 55°, mZB = 65°, mZC = 60° OmZA = 60°, mZB = 60°, mC = 60° MZA= 57°, MZB = 58°, mZC = 65° MZA = 61°, mZB = 57°, mZC = 61°
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Answers

Answer:

Option D

Step-by-step explanation:

We already have two reasons to support two sides. We have the reflexive property and that the base is divided by a midpoint. So we will need an angle.

Also, AC is the median so it divides into two congruent angles and parts

Option D, because the reflexive property is then included in that part

According to a recent survey of households, the poll found that 41 % of the adults watching a special event on TV enjoyed the commercials more than the event itself. Consider a random sample of nine adults who watched the special event. Complete parts a through d below.a. For this experiment, define the event that represents a "success".
i. A success is an adult who did not enjoy the commercials more than the event on TV itself.
ii. A success is an adult who enjoyed the commercials more than the event on TV itself.

b. What is the probability that less than four people enjoyed the commercials more than the event?
c. What is the probability that exactly six or seven people enjoyed the commercials more than the event?
d. What is the mean for this binomial distribution?

Answers

Answer:

a) ii. A success is an adult who enjoyed the commercials more than the event on TV itself.

b) P(X < 4) = 0.4576

c) P(X=6) + P(X=7) = 0.1064

d) Mean = 3.69

Step-by-step explanation:

a) The population parameter stated in the survey is the event that represents a success. Hence, A success is an adult who enjoyed the commercials more than the event on TV itself.

b) The probability that less than four people enjoyed the commercials more than the event

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of adults sampled = 9

x = Number of successes required = number of people that enjoyed the commercial more than the event on TV = less than 4

p = probability of success = probability of enjoying the commercial more than the event = 0.41

q = probability of failure = probability of NOT enjoying the commercial more than the event = 1 - 0.41 = 0.59

P(X < 4) = P(X=0) + P(X=1) + P(X=2) + P(X=3) = 0.00866299582 + 0.05418043148 + 0.15060323326 + 0.24419846296

P(X < 4) = 0.45764512351 = 0.4576

c) The probability that exactly six or seven people enjoyed the commercials more than the event = P(X=6) + P(X=7)

Using the Binomial distribution formula

P(X=6) + P(X=7) = 0.08194801935 + 0.02440582659 = 0.106353846 = 0.1064

d) Mean = expected value of people that would enjoy the commercial more than the main event = np = 9×0.41 = 3.69

Hope this Helps!!!

Answer:

a) ii. A success is an adult who enjoyed the commercials more than the event on TV itself.

b) $P(X=0)=(9C0)(0.41)^0 (1-0.41)^(9-0)=0.0087$

$P(X=1)=(9C1)(0.41)^1 (1-0.41)^(9-1)=0.0.54$

$P(X=2)=(9C2)(0.41)^2 (1-0.41)^(9-2)=0.151$

$P(X=3)=(9C3)(0.41)^3 (1-0.41)^(9-3)=0.244$

And adding we got:

$P(X<4) = P(X\leq 3) = P(X=0)+P(X=1) +P(X=2)+P(X=3)=0.0087+0.054+0.151+0.244=0.458$

c) $P(6 \leq X \leq 7)$

$P(X=6)=(9C6)(0.41)^6 (1-0.41)^(9-6)=0.082$

$P(X=7)=(9C7)(0.41)^7 (1-0.41)^(9-7)=0.0244$

And adding we got:

$P(6 \leq X \leq 7)=0.082+0.0244=0.106$

d) $\mu = np =9*0.41=3.69$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=9, p=0.41)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^(n-x)$

Where (nCx) means combinatory and it's given by this formula:

$nCx=(n!)/((n-x)! x!)$

Part a

The success on this case is:

ii. A success is an adult who enjoyed the commercials more than the event on TV itself.

Part b

For this case we want this probability:

$P(X<4) = P(X\leq 3) = P(X=0)+P(X=1) +P(X=2)+P(X=3)$

And we can find the individual probabilities and we got:

$P(X=0)=(9C0)(0.41)^0 (1-0.41)^(9-0)=0.0087$

$P(X=1)=(9C1)(0.41)^1 (1-0.41)^(9-1)=0.0.54$

$P(X=2)=(9C2)(0.41)^2 (1-0.41)^(9-2)=0.151$

$P(X=3)=(9C3)(0.41)^3 (1-0.41)^(9-3)=0.244$

And adding we got:

$P(X<4) = P(X\leq 3) = P(X=0)+P(X=1) +P(X=2)+P(X=3)=0.0087+0.054+0.151+0.244=0.458$

Part c

For this case we want this probability:

$P(6 \leq X \leq 7)$

$P(X=6)=(9C6)(0.41)^6 (1-0.41)^(9-6)=0.082$

$P(X=7)=(9C7)(0.41)^7 (1-0.41)^(9-7)=0.0244$

And adding we got:

$P(6 \leq X \leq 7)=0.082+0.0244=0.106$

Part d

For this case the mean is given by:

$\mu = np =9*0.41=3.69$

Please help I need these quickly. Please answer sensibly! I will give brainliest to the correct answer.

Answers

Answer:

n+n= 2n

$(3n) ^(2) = 9n ^(2)$

5(n+2)=5n+10

2(n+1)=2n+1

$n / 4 = (n)/(4)$

$n(n - 2 = n{2} - 2n$

Based on a Comcast survey, there is a 0.8 probability that a randomly selected adult will watch prime-time TV live, instead of online, on DVR, etc. Assume that seven adults are randomly selected. Find the probability that fewer than three of the selected adults watch prime-time live.

Answers

Answer: Our required probability is 0.004672.

Step-by-step explanation:

Since we have given that

Number of adults = 7

Probability of getting adult will watch prime time TV live = 0.8

We need to find the probability that fewer than 3 of the selected adults watch prime time live.

We will use "Binomial Distribution":

here, n = 7

p = 0.8

So, P(X<3)=P(X=0)+P(X=1)+P(X=2)

So, it becomes,

$P(X=0)=(1-0.8)^7=0.2^7=0.0000128$

$P(X=1)=^7C_1(0.8)(0.2)^6=0.0003584\n\nP(X=2)=^7C_2(0.8)^2(0.2)^5=0.0043$

So, probability that fewer than 3 of the selected adult watch prime time live is given by

$0.0000128+0.0003584+0.0043=0.004672$

Hence, our required probability is 0.004672.

Final answer:

This problem relates to the binomial distribution and requires us to find the sum of binomial probabilities for 0, 1, and 2 successes (adults watching live TV) out of seven trials (the seven randomly selected adults).

Explanation:

This question is utilizing the concept of binomial distribution. The probability of a randomly selected adult watching prime-time TV live is 0.8. We want to find the probability that fewer than 3 out of 7 randomly selected adults watch prime-time live.

We find this by adding up the probabilities for 0, 1, and 2 adults watching live TV using the binomial distribution formula: P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k)), where C(n, k) denotes the number of combinations of n items taken k at a time, p is the probability of success, and n is the number of trials.

We get:

P(X=0) = C(7, 0) * (0.8^0) * ((1-0.8)^(7-0))
P(X=1) = C(7, 1) * (0.8^1) * ((1-0.8)^(7-1))
P(X=2) = C(7, 2) * (0.8^2) * ((1-0.8)^(7-2))

Adding these up will give the total probability that fewer than three adults out of seven watch prime-time live.

Learn more about Binomial Distribution here:

brainly.com/question/33656163

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Convert x2 + y2 = 16 to polar form.r = 16

r = 4

θ = 16

θ = 4

Answers

The polar form of the equation x² + y² = 16 is x = 4 or y = 4 or r = 4 ( x = y = r = 4) option (B) is correct.

What is the polar equation?

A polar coordinate system is a two-dimensional coordinate system in which a distance from a reference point and an angle from a reference direction identify each point on a plane.

It is given that:

The rectangular form of an equation is:

x² + y² = 16

The above equation representing a circle equation:

We can write the above equation as follows:

x² + y² = 4²

As we know, the polar form of the equation is:

x = r cos(θ)

y = r sin(θ)

r is the radius of the circle

r = 4

θ is the angle made by the component of x and y:

tanθ = y/x

tanθ = r/r; x = y = r

tanθ = 1

θ = 45 degrees

Thus, the polar form of the equation x² + y² = 16 is x = 4 or y = 4 or r = 4 ( x = y = r = 4) option (B) is correct.

Learn more about the polar form here:

brainly.com/question/13640455

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The Correct Answer is Option B

r = 4

Ex. CONVERT 2 + 2 = 4 x 4 = 16

If the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will be hired in their first 6 months out of college is 59%, what is the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will not get hired in the first 6 months out of college?

Answers

Answer: The required probability is 41%.

Step-by-step explanation:

Since we have given that

Probability that he will be hired in their first 6 month out of college = 59% = 0.59

So, we know that

total probability = 100% = 1

Probability that he will not get hired in the first 6 months out of college would be

$P(H')=1-P(H)=1-0.59=0.41=41\%$

Hence, the required probability is 41%.

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