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DedPeter [7]
2 years ago
5

The time that a butterfly lives after emerging from its chrysalis can be modelled by a random variable T, the model here taking

the probability that a butterfly survives for more than t days as P(T>t)=36(6+t)2, t≥0. For these problems, please ensure your answers are accurate to within 3 decimals. Part a) What is the probability that a butterfly will die within 6 days of emerging? 0.75 Part b) If a large number of butterflies emerge on the same day, after how many days would you expect only 6 % to be alive? 18.494 Part c) Calculate the mean lifetime of a butterfly after emerging from its chrysalis?
Mathematics
1 answer:
olasank [31]2 years ago
8 0
Xd answer is d I hope u find the answer
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Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing
Veronika [31]

Answer:

(13/10)H

got it on khan academy brainliest pls thx uwu

Remember that 30% in fraction form is 33/100

The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:

(30/100)H

And since it would add that to the current total we can right the current total as:

(100/100)H

So our equation would be

=(30/100)H + (100/100)H

=(130/100)H

=(13/10)H

5 0
2 years ago
Read 2 more answers
In a class, 4/5 of the students have mathematical instruments. 1/4 of these students have lost their protractors. What fraction
Novay_Z [31]

Answer:

\frac{11}{20}

Step-by-step explanation:

\frac{4}{5} - \frac{1}{4}          <em>Subtract the students who don't have protractors from the students who have mathematical instruments.</em>

\frac{11}{20}

6 0
2 years ago
Read 2 more answers
LeAnn wants to giftwrap a present she got for her little brother. How many square inches of giftwrap will be needed to cover a b
Sloan [31]
For this case we must find the surface area of a rectangular prism.
 We have then:
 A = 2 * (w * l) + 2 * (w * h) + 2 * (l * h)&#10;
 Where,
 w: width
 l: long
 h: height
 Substituting values we have:
 A = 2 * (4 * 6) + 2 * (4 * 2) + 2 * (6 * 2)&#10;&#10;A = 88 in ^ 2
 Answer:
 
There will be needed 88 in ^ 2 of giftwrap to cover the box
8 0
2 years ago
Here are seven tiles: 1,1,3,3,3,5,5. Tom takes a tile at random. He does not replace the tile. Tom then takes a second tile. A)
zzz [600]

Answer:

a) 2/42

b)16/42

Step-by-step explanation:

a) 2/7 x 1/6 = 2/42

b) (1,2)  (1,3) (2,3)

   P(1,2) = 2/7 x 3/6 = 6/42

   P(1,3) = 2/7 x 2/6 = 4/42

   P(2,3) = 3/7 x 2/6 = 6/42

Add all = 6/42 + 4/42 + 6/42 = 16/42

4 0
2 years ago
Tesla wanted to determine the average miles per kWh that their vehicles get across all models and variations. They took a sample
LiRa [457]

Answer:

\mu_{\bar x} = \mu = E(X) =30KWh

\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{100}}=0.3

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

For this case we select a sample of n =100

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

So then the sample mean would be:

\mu_{\bar x} = \mu = E(X) =30KWh

And the standard deviation would be:

\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{100}}=0.3

6 0
1 year ago
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