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DedPeter [7]
3 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]3 years ago
8 0
Xd answer is d I hope u find the answer
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Which of these sets could represent the side lengths of a right triangle?
Jlenok [28]

Answer:

{6, 8, 10} is a set which represents the side length of a right triangle.

Step-by-step explanation:

In a right triangle:

(Base)^{2}  + (Perpendicular)^{2}   = (Hypotenuse)^{2}

Now, in the given triplets:

(a) {4, 8, 12}

Here, (4)^{2}  + (8)^{2}   = 16 + 64  = 80\\\implies H = \sqrt{80}  =  8.94

So, third side of the triangle   8.94 ≠ 12

Hence,  {4, 8, 12} is NOT a triplet.

(b) {6, 8, 10}

Here, (6)^{2}  + (8)^{2}   = 36 + 64  = 100\\\implies H = \sqrt{100}  =  10

So, third side of the triangle  10

Hence,  {6, 8, 10} is  a triplet.

(c) {6, 8, 15}

Here, (6)^{2}  + (8)^{2}   = 36 + 64  = 100\\\implies H = \sqrt{100}  =  10

So, third side of the triangle  10  ≠ 15

Hence,  {6, 8, 15} is  NOT a triplet.

(d) {5, 7, 13}

Here, (5)^{2}  + (7)^{2}   = 25 + 49  = 74\\\implies H = \sqrt{74}  =  8.60

So, third side of the triangle  8.60  ≠ 13

Hence, {5, 7, 13} is  NOT a triplet.

4 0
3 years ago
Brian invests £1300 into his bank account.
raketka [301]

Answer:

£1690

Step-by-step explanation:

Amount invested by Brian = £1300

rate of simple interest = 10%

To find money Brian will have after three years

He will have amount invested in bank and interest earned in three years from that amount.

Simple interest for any principal amount p is given by

SI = P*R * T /100

where SI  is simple interest earned

T is time period for which simple interest is earned

R is rate of interest

Substituting value of P , R and T we have

SI = 1300*10* 3 /100 = 390

Therefor interest earned will be £390

Total money with Brian after three years = principal amount invested + interest earned in 3 years

= £1300 + £390 = £1690

3 0
3 years ago
Two similar cylinders have surface areas of 24 cm² and 54 cm². The volume of the smaller cylinder is 16ñ cm³.
kumpel [21]

Answer:54pid

just did my final

6 0
2 years ago
Round 4.93 to 1 decimal place
seropon [69]
4.93
    ^ This number is less than 5, so we round down to 4.9.
3 0
3 years ago
Read 2 more answers
2x/5 = 4 what is the value of X?
Oksi-84 [34.3K]

Answer:

x=10

Step-by-step explanation:

2x/5 = 4

2x=5×4

x=20/2=10

6 0
3 years ago
Read 2 more answers
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