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3 years ago

What is 9pi/5 concerted to degrees? A) 162 B) 350 C) 324 D) 5.7

Mathematics

1 answer:

Charra [1.4K]3 years ago

7 0

Answer:

C) 324

Step-by-step explanation:

A full circle is 2pi radians and 360 degrees. That means that pi radians equals 180 degrees.

$\dfrac{9 \pi}{5} \times \dfrac{180^\circ}{\pi} = 324^\circ$

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Use inverse operations to complete the second equation each time

ratelena [41]

Answer:

a) 55-42=13

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c) 65÷5=13

d) 72÷8=9

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2 years ago

A sixth-grade math teacher can grade 25 homework assignments in 20minutes. What is the rate per minute? He can grade assignments

baherus [9]

Answer:

He can grade 1.25 assignments in 1 minute.

Step-by-step explanation:

Because the teacher can grade 25 assignments in 20 minutes, we can dive 25 by 20 to get the constant rate.

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So he can grade 1.25 assignments in 1 minute.

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2 years ago

Prove the polynomial identity.

Kaylis [27]

Answer:

Proven

Step-by-step explanation:

We prove the polynomial with factorization. We must first simplify the expression before we can factorize:

$(4\cdot{x^2}-2)\cdot{(4\cdot{x^2}-2)}-16\cdot{x^4}$

$16\cdot{x^4}-8\cdot{x^2}-8\cdot{x^2}+4-16\cdot{x^4}$

$4-16\cdot{x^2}$

4 is the common number and we can take it out of the expression:

$4\cdot{(1-4\cdot{x^2})}$

We can factorize further with the x term being zero. For this to be true we must have -2x and 2x to cancel out and therefore the expression is proven:

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2 years ago

What is 1 4/5 + 1 1/5??

Rudik [331]

$1\dfrac{4}{5}+1\dfrac{1}{5}=(1+1)+\left(\dfrac{4}{5}+\dfrac{1}{5}\right)=2+\dfrac{1+4}{5}=2+\dfrac{5}{5}=2+1=3$

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2 years ago

Data collected at Toronto Pearson International Airport suggests that an exponential distribution with mean value 2725hours is a

Ivan

Answer:

a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?

We want this probability"

$P(X >2) = 1-P(X\leq 2) = 1-(1- e^{-0.367 *2})=e^{-0.367 *2}= 0.48$

At most 3 hours?

$P(X \leq 3) = F(3) = 1-e^{-0.367*3}= 1-0.333 =0.667$

b) What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?

$P(X > 2.725 + 2*5.540) = P(X>13.62) = 1-P(X$

What is the probability that it is less than the mean value by more than one standard deviation?

$P(X$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}$