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astraxan [27]
2 years ago
6

Please help with this.

Mathematics
1 answer:
Tamiku [17]2 years ago
7 0

Answer:

2

Step-by-step explanation:

See attachment

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If a line is 10 feet long but needs to be reduced to 80% of its original, how long will the new line be?
motikmotik

Answer:

8 feet

Step-by-step explanation:

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A​ salesperson's commission rate is 5 ​%. What is the commission from the sale of 32,000 worth of​ furnaces? Use pencil and pape
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Answer: Answer:

Its sad that you have to uses this app to get the right answers.

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Do it yourself, Because if you try..You'll have a better answer then I ever could. Or anyone TBH

6 0
3 years ago
13. Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine v
suter [353]
Since the Power is directly proportional to the velocity, their ratio \frac{P}{v^{3} } is constant.

<span>Therefore </span>\frac{500}{ 10^{3} } = \frac{x}{ 12^{3} } which is a proportion:

500 : 1000 = x : 1728

that can be easily solved:

x = (500×1728)/1000 = 864kW

8 0
3 years ago
Read 2 more answers
Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1
alexandr1967 [171]

Answer:

a) \simeq 0.3012   b) \simeq 0.0494 c) \simeq 0.2438

Step-by-step explanation:

Rate of collision,

1.2 collisions every 4 months

or, \frac{1.2}{4}

= 0.3 collisions per  month

So, the Poisson distribution for the random variable no. of collisions per month (X) is given by,

          P(X =x) = \frac{e^{-\lambda}\times {\lambda}^{x}}}{x!}&#10;

                                                           for x ∈ N ∪ {0}

                       =  0 otherwise --------------------------------------(1)

here, \lambda = 0.3 collision / month

No collision over a 4 month period means no collision per month or X =0

Putting X = 0 in (1) we get,

         P(X = 0) = \frac{e^{-0.3}\times {\0.3}^{0}}{0!}&#10;

                      \simeq 0.7408182207 ------------------------------------(2)

Now, since we are calculating  this for 4 months,

so, P(No collision in 4 month period)

     =0.7408182207^{4}

     \simeq 0.3012  -----------------------------------------------------------(3)

2 collision in 2 month period means 1 collision per month or X =1

Putting X =1 in (1) we get,

           P(X =1) = \frac{e^{-0.3}\times {\0.3}^{1}}{1!}&#10;

                      \simeq 0.2222454662 ------------------------------------(4)

Now, since we are calculating this for 2 months, so ,

P(2 collisions in 2 month period)

                =0.2222454662^{2}

                \simeq 0.0494 -----------------------------------------(5)

1 collision in 6 months period means

                                \frac{1}{6} collision per month

Now, P(1 collision in 6 months period)

= P( X = 1/6]  (which is to be estimated)

=\frac {P(X=0)\times 5 + P(X =1)\times 1}{6}

= \frac {0.7408182207 \times 5 + 0.2222454662 \times 1}{6}[/tex]

\simeq 0.6543894283-------------------------------------------(6)

So,

P(1  collision in 6 month period)

  =  0.6543894283^{6}

   \simeq 0.0785267444 ------------------------------------------------(7)

So,

P(No collision in 6 months period)

  = (P(X =0)^{6}

   \simeq 0.1652988882 ---------------------------------(8)

so,

P(1 or fewer collision in 6 months period)

= (8) + (7 ) = 0.0785267444 +0.1652988882

\simeq  0.2438 ---------------------------------------------(9)          

7 0
3 years ago
The tens digit of a certain number is five more than the units digit. The sum of the digits is 9. Find the number.
Leokris [45]
<span>the tens digit = n
</span><span>the units digit = n-5

n + n-5 = 9
2n = 9+5
2n = 14
n = 7  </span>←  the tens digit

the units digit = n-5 = 7 - 5 = 2

<span>the number is 72</span>
4 0
3 years ago
Read 2 more answers
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