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Karolina [17]
2 years ago
10

A 0.143-Henry Inductor is connected in series with a variable resistor to a 208-volt 400-cycle source. For what value of capacit

ance will the current be (a) 1.04 ampere lagging and (b) 1.04 ampere leading?
Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
8 0

Answer:

A.)359.2, B.)2.5 uf

Step-by-step explanation:

E / I = R

208 / 1.04 = 200 ohms

2*pi*f*L = Xl

6.28*400*.143 = 359.2 ohm

1 / (2*pi*f*Xc) = c

1 /(6.28*400*159.2) = 2.5 uf

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An increase in walking has been shown to contribute to a healthier life-style. A sedentary American takes an average of 5000 ste
Zielflug [23.3K]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 5000

For the alternative hypothesis,

H1: µ > 5000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 5000

x = 5430

σ = 600

n = 40

z = (5430 - 5000)/(600/√40) = 4.53

Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.

6 0
1 year ago
Given right triangle XYZ, what is the value of tan(60°)?
Svetlanka [38]

we know that

Step 1

in the right triangle XYZ

Applying the Pythagorean Theorem

Find the value of ZY

XY^{2}=XZ^{2} +ZY^{2} \\   ZY^{2}=XY^{2}-XZ^{2}\\ ZY^{2}=42^{2}-21^{2}\\ ZY^{2}=1,323\\ ZY=\sqrt{1,323}\ units

ZY=21\sqrt{3}\ units

Step 2

in the right triangle XYZ

Find tan60°

we know that

tan\ 60=\frac{opposite\ side\ angle\ 60}{adjacent\ side\ angle\ 60}

in this problem

opposite side angle 60 is ZY

adjacent side angle 60 is XZ

so

tan\ 60=\frac{ZY}{XZ} \\ \\ tan\ 60=\frac{21\sqrt{3}}{21}  \\ \\  tan\ 60=\sqrt{3}

therefore

the answer is

\sqrt{3}


3 0
1 year ago
Read 2 more answers
A given set of values is found to be a normal distribution with a mean of 140 and a standard deviation of 18.0. Find the value t
Alisiya [41]

Answer:

The value that is greater than 45% of the data values is approximately 137.84.

Step-by-step explanation:

The key is transforming values from this distribution to a z-score range and finding the corresponding value using a z-score table.

We are looking for a value x which attains a critical z-score that corresponds to the (100-45)%=55-th percentile:

z_{0.55} = \frac{x-\mu}{\sigma}=\frac{x-140}{18}\implies x = 18\cdot z_{0.55}+140

The critical z value (from z-score table, online) is: -0.12, so:

x = 18\cdot z_{0.55}+140=18\cdot(-0.12)+140\approx137.84

The value that is greater than 45% of the data values is approximately 137.84.


5 0
2 years ago
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Sasha is solving a multi-step equation. Her first step is shown below.
MrRissso [65]

Answer:

On the left side,  she used commutative property

On the right side, she used distributive property

Step-by-step explanation:

5 0
2 years ago
Which number, when substituted for x, makes the equation 4x+8=164x+8=16 true?
ra1l [238]
X = 2

4x + 8 = 16
      -8     -8
----------------
4x= 8
--     --
4     4
------------
x=2
7 0
1 year ago
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