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3 years ago

Which angles are vertical to each other

Mathematics

2 answers:

igor_vitrenko [27]3 years ago

6 0

Answer:

right

Step-by-step explanation: because ones left and 1 right

topjm [15]3 years ago

3 0

Answer:

You need to attach the picture of the angles

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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!}
$

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!}
$

$\simeq 0.7408182207$ ------------------------------------(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!}
$

$\simeq 0.2222454662$ ------------------------------------(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

2(100x+26) using distributive property and the rectangle

EastWind [94]

Answer: 200x+52

Step-by-step explanation:2*100x= 200x

2*26=52

So...........200x+52

4 0

3 years ago

Which equation is in standard form?

Sauron [17]

Standard form is

ax + by = c

Only choice A is in that form.

6 0

3 years ago

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Brianna goes to the movies and must pay a 7% tax on the items she gets. She gets popcorn, soda, and twizzlers. These items come

alina1380 [7]

Find the amount of tax money she needed to pay

7% of 17.50

=7/100 * 17.50

=122.50/100

=1.22

Find the final sales price

17.50+1.22 = 18.72

5 0

3 years ago

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Victor is a mechanic who wants to ensure he has enough funds during his old age. Which account will be of benefit to Victor?

vitfil [10]

Answer:

individual retirement account

Step-by-step explanation:

The account that will be beneficial to Victor, to ensure he has enough funds during his old age, is the individual retirement account(IRA).

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3 years ago

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Which angles are vertical to each other​

Which angles are vertical to each other