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3 years ago

MZYX=pi/3 radians. Covert this radian measure to its equivalent degree measure.

Mathematics

2 answers:

vitfil [10]3 years ago

7 0

Answer:

60°

Step-by-step explanation:

Angles can be converted from radians to degrees by multiplying by 180/π.

π/3 * 180°/π = 180°π /3π = 180/3 = 60°

60° is the measure of ZYX in degrees.

Rom4ik [11]3 years ago

6 0

Answer: 60°

Step-by-step explanation:

To convert a radian measure to its equivalent degree measure, we need to multiply 180° and divide by π .

Now, Given : $m\angle{ZYX}=\dfrac{\pi}{3}\text{ radians}$

Then , its equivalent degree measure would be :

$m\angle{ZYX}=\dfrac{\pi}{3}\times\dfrac{180^{\circ}}{\pi}\\\\\Rightarrow\ m\angle{ZYX}=60^{\circ}$

Hence, the equivalent degree measure of $m\angle{ZYX}=\dfrac{\pi}{3}\text{ radians}$ is 60°.

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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

What are the measures of the angles in the triangle?

Ierofanga [76]

Answer:

u need to put a picture so we know what your talking about

8 0

3 years ago

four friends attended a painting class together. They each paid for a ticket and $15 for food. At the end of the night, the tota

tigry1 [53]

Answer:

The answer is $36.25

Step-by-step explanation:

First minus $15 from $160

=145

second divide by the amount of friends which is four

so 145 divided by 4 equals 36.25

each ticket cost $36.25

6 0

2 years ago

You have been assigned a nine-digit identification number.

garik1379 [7]

Answer:

Step-by-step explanation:

A tree diagram? I don't think so. Probably it would take a year's supply of paper to record all the possibilities. The question really is do you allow duplications and is 0 allowed to be the first digit.

I would think that both are fine.

So the total number for this number would be 10^9. There probably some sort of algorithm to reduce the number and to check if it is a legitimate choice for this number.

3 0

2 years ago

나<br> How do you do this

Ratling [72]

Answer:

나

I am correct

7 0

3 years ago

Read 2 more answers