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3 years ago

Define and compare radian measure to degree measure

1 answer:

7 0

Radian: is the standard unit of angular measure, used in many areas of mathmatics.
degree: is a measuement of plane angle, defined by representing a full rotation as 360 degrees.

Both are two units for measuring angles. There are at least four such units, but degrees and radians are most likely to encounter high school and college.

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Each day, Robin commutes to work by bike with probability 0.4 and by walking with probability 0.6. When biking to work injuries

kvasek [131]

Answer:

64.65% probability of at least one injury commuting to work in the next 20 years

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}
$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Each day:

Bikes to work with probability 0.4.

If he bikes to work, 0.1 injuries per year.

Walks to work with probability 0.6.

If he walks to work, 0.02 injuries per year.

20 years.

$\mu = 20*(0.4*0.1 + 0.6*0.02) = 1.04$

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}
$

$P(X = 0) = \frac{e^{-1.04}*1.04^{0}}{(0)!} = 0.3535
$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3535 = 0.6465$

64.65% probability of at least one injury commuting to work in the next 20 years

3 0

3 years ago

Please help me asap thank you!

vlabodo [156]

Answer:

25a-20

Step-by-step explanation:

15a+10a-20=

25a-20

8 0

3 years ago

What is the answer please please help me

zmey [24]

Part A: the answer is C. They only converted milligrams to grams instead of going to kilograms. There are 6 steps between milligrams and kilograms, so 25,000 should've been divided by 1,000,000.
Part B
9.58 kg+1.25 kg+0.025 kg = 10.855 kg
So the bag, water bottle, and sleeping bag weigh 0.145 kg less than 11 kg

3 0

3 years ago

Jason has 14 raspberry scones and 35 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag

Natali5045456 [20]

Answer:

7 is the greatest number of bags Jason can fill.

Step-by-step explanation:

Given: Jason has 14 raspberry scones and 35 blackberry scones.

Now, finding the maximum number of bags Jason can fill with equal number of raspberry scones and blackberry scones.

∴ we will be using Greatest common factor (GCF) for knowing the number of bags.

$14 = 2\times 7\\\\35= 5\times 7$

∴ $GCF= 7$

7 is the greatest number of bags that Jason can fill with equal number of raspberry and blackberry scones.

5 0

3 years ago

James wants to build a frame around a circular clock like the one shown. He is trying to determine how much material he needs to

stealth61 [152]

Answer:

Step-by-step explanation:

Just did it

4 0

3 years ago