If x = 3 cm and z = 5 cm, what is the length of y?

Answers

Answer 1

Answer:

Answer:

15cm

Step-by-step explanation:

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In 1970, 36% of first year college students thought that being "very well off financially is very important or essential." By 2000 the percentage had increased up to 74%. These percentages are based on nationwide multistage cluster samples.a) Is the difference important? Or does teh question make sense?b) Does it make sense to ask if the difference is statisically significante? Can you answer on the basis of the informations given?c) Repeat b), assuming the percentages are based on independant simple random samples of 1,000 first year college students drawn each year.
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A stock brokerage has four computers that are used for making trades on the New York Stock Exchange. The probability that a computer fails on any single day is 0.005. Failures occur independently. Any failed computers are repaired after the exchange closes, so each day can be considered an independent trial.(a) What is the probability that all four computers fail on one day?(b) What is the probability that at least one computer fails on a day?(c) What is the mean number of days until a specific computer fails?

Answers

Answer:

A) 0 , B) 0.0199 , C) 200

Step-by-step explanation:

Let X denotes no. of computers fail on day

X ~ Bin (n = 4 , p = 0.05)

A] P (X = x) = (n c x) p^x q^n-x

P (X = 4) = (4 c 4) (0.005)^4 (0.995)^0

(0.05)^4 ~ 0

B] P (X > 1) = 1 - P (X < 1) = 1 - P (X = 0)

1 - { ( 4 c 0) (0.005)^0 (0.995)^ 4 }

1 - (0.995)^ 4 ~ 0.0199

C] Let Y depict mean number of days until a specific computer fails

Y ~ Geom (p = 0.005)

Mean = E (Y) = 1/p = 1/0.05 = 200

Consider a colony of E.Coli bacteria that is growing exponentially. A microbiologist finds that, initially, 1,000 bacteria are present and 50 minutes later there are 10,000 bacteria. a) Find expression for the number of bacteria Q(t) after t minutes. b) When will there be 1,000,000 bacteria?

Answers

Answer:

a) $Q(t)=Q_(0)e^((ln10/50)t)$

b) 150min

Step-by-step explanation:

a) Using the formula for colony growth $Q(t)=Q_(0)e^(kt)$ we need to find the specific value of k, to do this you'll use the time, initial and final number of colonies provided in your problem.

$Q(t)=Q_(0)e^(kt)\n\n10000=1000e^(k(50)) \n\n(10000)/(1000)=e^(50k) \n\n10=e^(50k)\n ln(10=e^(50k))\n\nln10=50k\n\nk=ln10/50\n\nQ(t)=Q_(0)e^((ln10/50)t)\n\n$

b) Once we have our expression we only have to use our final and initial number of bacteria to find t.

$Q(t)=Q_(0)e^((ln10/50)t)\n\n\n1000000=1000e^(0.046t)\n 1000=e^(0.046t)\nln( 1000=e^(0.046t))\nln1000=0.046t\nt=ln1000/0.046\nt=150 minutes$

I hope you find this information useful! good luck!

Driving along, terry notices that the last four digits on his car's odometer are palindromic. a mile later, the last five digits are palindromic. after driving another mile, the middle four digits are palindromic. one more mile, and all six are palindromic. what was the odometer reading when terry first looked at it? form a linear system of equations that expresses the requirements of this puzzle.

Answers

Designate the initial digits, left to right, as {a, b, c, d, d, c}.

After adding one mile, the digits are {a, b, c, d, c, b}, so the relevant equation is
10c +b = 10d +c +1

After adding another mile, the digits are {a, b, c, c, b, e}, so the relevant equation is
100c +10b +e = 100d +10c +b +1

After another mile, the digits are {a, b, c, c, b, a}, so the relevant equation is
a = e +1

In summary, we have 3 equations in 5 unknowns.
b + 9c -10d = 1
9b +90c -100d +e = 1
a - e = 1
along with the constraints {a, b, c, d, e} ∈ {0, ..., 9}

_____
These have the solution {a, b, c, d, e} = {1, 9, 8, 8, 0}, so the odometer readings were
198888
198889
198890
198891

3x-165=7x=105
What is x?

Answers

Answer:

tutoring is available right now

A motorist left Lagos at 11:30 am and arrived at Ibadan at
1:30pm. If the distance
between Lagos & Ibadan is
168km, what was the average
speed of the motorist?

Answers

Answer:

60 miles prh because that is the amount of speed it takes to get there

What does (2,7) look like on the coordinate plane.

Answers

Answer: from (0,0) (2,7) is 2 right from (0,0) and 7 up from (2,0)

Step-by-step explanation: go right 2 and 7 up

Answer:

okay so your coordiantes are in the form of (x,y) on a graph.You start at the origin and go to the right 2 units and up 7 units.

Step-by-step explanation:

Hope this helps!

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