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Zolol [24]
3 years ago
15

What is the area of a circular plate if the circumference is 24.5 inches.

Mathematics
1 answer:
Irina18 [472]3 years ago
6 0
A = c^2/(4π) = (24.5 in)^2/(4π) ≈ 47.766 in^2
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If the resistance of an electric circuit is 12 ohms and the voltage in the circuit is 60 V, the current flowing through the circ
Lena [83]

Option C

<u>Answer: </u>

The current flowing through the circuit is 5 A

<u>Solution: </u>

Given that resistance of an electric circuit is 12 ohms and the voltage in the circuit is 60 V.

We have to find the current flowing through the circuit.

By Ohms law, the relation between the resistance, voltage and current in the circuit is given as,

\bold{V=I \times R} ---- eqn 1

where, V = voltage in the circuit

I = current flowing through the circuit

R = resistance of the electric circuit

From question given that, R = 12 ohms; V = 60 V

By using eqn 1, the current flowing through the circuit is given as  

60 = I \times 12

I = \frac{60}{12} = 5

Hence the current flowing through the circuit is 5A.

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3 years ago
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Take a look at the picture, I coloured the lines and saw that the red and green angles are actually the same. And since the 90° angle is given, just subtract it from 140° to get your answer.

x = 50°

3 0
2 years ago
Read 2 more answers
What is the probability that a randomly selected member of a normally distributed population will lie more than 1.8 standard dev
Helen [10]

Answer:

P(X> \mu +1.8\sigma)=P(\frac{X-\mu}{\sigma}>\frac{\mu +1.8\sigma-\mu}{\sigma})=P(Z>1.8)

And we can find this probability using the complement rule:

P(z>1.8)=1-P(z

And using the normal standard distirbution table or excel we got:

P(z>1.8)=1-P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable if interest of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sigma)  

We are interested on this probability

P(X>\mu +1.8 \sigma)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X> \mu +1.8\sigma)=P(\frac{X-\mu}{\sigma}>\frac{\mu +1.8\sigma-\mu}{\sigma})=P(Z>1.8)

And we can find this probability using the complement rule:

P(z>1.8)=1-P(z

And using the normal standard distirbution table or excel we got:

P(z>1.8)=1-P(z

5 0
3 years ago
Identify the determinants for the given linear system: 5x + 2y = 14 −3x − 5y = 3
sergeinik [125]

Answer:

Step-by-step explanation:

|A|= 5, 2, -3, -5

|Ax|= 14, 2, 3, -5,

|Ay|= 5, 14, -3, 3

8 0
3 years ago
3<br> 个<br> 2x<br> 38<br> V-2<br> 24<br> 丰<br> 36<br> Z+88<br> X=
Yuki888 [10]

Answer:

no

Step-by-step explanation:

ni

nni

n

5 0
3 years ago
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