how induction coil work​

Answer:

4/7 > 2/10

Step-by-step explanation:

4/7 is close to 1/2

2/10 is close to 0

4/7 > 2/10

Answer:

The first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.

Step-by-step explanation:

Since Clara made two investments, and Investment A has an initial value of $ 500 and increases by $ 45 every year, while Investment B has an initial value of $ 300 and increases by 10% every year, and Clara checks the value of her investments once to year, at the end of the year, to determine what is the first year in which Clara sees that Investment B's value has exceeded investment A's value, the following calculation must be performed:

500 + (45 x X) = A

300 x 1.1 ^ X = B

A = 500 + 45 x 5 = 500 + 225 = 725

B = 300 x 1.1 ^ 5 = 483.15

A = 500 + 45 x 10 = 950

B = 300 x 1.1 ^ 10 = 778.12

A = 500 + 45 x 15 = 1175

B = 300 x 1.1 ^ 15 = 1253.17

A = 500 + 45 x 14 = 1,130

B = 300 x 1.1 ^ 14 = 1,139.25

Therefore, the first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.

Answer:

(8.608, 9.392)

Step-by-step explanation:

We have the following information

Population standard deviation = 1.8

Sample mean = 9 hours

Sample n = 81

C I = 95%

So level of significance

Alpha = 1-0.95

= 0.05

Z critical at 0.05/2

Z(0.025) = 1.96

The 95% c.i =

9+-(1.96)(1.8/√81)

9+-(1.96)(0.2)

(9-0.392)(9+0.392)

(8.608, 9.392)

This is the confidence interval at 95%.

I hope you find my solution useful. Good luck!!!

Answer:

yefeihuerijohiftv3ugrhoerfujfy

Step-by-step explanation:

Answer:

The 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years is (0.1627, 0.1887).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years.

This means that [tex]n = 2322, \pi = \frac{408}{2322} = 0.1757[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1757 - 1.645\sqrt{\frac{0.1757*0.8243}{2322}} = 0.1627[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1757 + 1.645\sqrt{\frac{0.1757*0.8243}{2322}} = 0.1887[/tex]

The 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years is (0.1627, 0.1887).

The first or second one because a function can't have the x value repeating

Answer:

100$or 20.4 that is the answer

Answer:

x≤16

Step-by-step explanation:

1/2x - 3 ≤5

Add 3 to each side

1/2x -3+3 ≤5+3

1/2x≤8

Multiply each side by 2

1/2x*2 ≤8*2

x≤16

Answer:

Relationship exists between price and overall score

Step-by-step explanation:

Given the data:

Brand Price Score

Bose 180 76

Scullcandy 160 76

Koss 95 69

Phillips/O'Neill 70 58

Denon 80 50

JVC 35 26

Using the correlation Coefficient calculator ; the correlation Coefficient, R = 0.875

H0 : no relationship exists

H1 : relationship exists

Using the R Coefficient ;

The test statistic :

T = r / √(1 - r²) / (n - 2)

n = 6

The test statistic :

T = 0.875 / √(1 - 0.875²) / (4)

T =0.875 / 0.05859375

T = 0.9333

The Pvalue from test statistic :

df = n - 2 ; 6 - 2 = 4

Pvalue(0.933, 4) = 0.02246

At α = 0.05

Pvalue < α ; We reject H0 ; and conclude that relationship exists between price and overall score

Answer: x² - (3/4)x + 9/64 = (x + 3/8)²

Step-by-step explanation:

Concept:

Here, we need to know the idea of completing the square.

Completing the square is a technique for converting a quadratic polynomial of the form ax²+bx+c to the form (x-h)²for some values of h.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

If we expand (x - h)² = x² - 2 · x · h + h²

Given equation:

Since [x² - (3/4)x +___] is the expanded form of (x - h)², then (-3/4)x must be equal to 2 · x · h. Thus, we would be able to find the value of h.

Finally, we plug the final value back to the equation.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(0.123 ; 0.277)

Step-by-step explanation:

Given :

Sample size, n = 180

x = 36

Proportion, p = x / n = 36/180 = 0.2

Confidence interval for sample proportion :

Confidence interval :

p ± Zcritical * √p(1 - p) / n

Zcritical at 99% = 2.576

0.2 ± 2.576 * √0.2(1 - 0.2) / 180

0.2 ± 2.576 * 0.0298142

0.2 ± 0.0768013792

(0.123 ; 0.277)

Answer:

third option

Step-by-step explanation:

Brainliest please~

y=-4x²-8x+1

а<0 so we will be looking for maximum

х=-b/2a=8/-8=-1

у=4+8+1=13

Maximum point (-1;13)

Step-by-step explanation:

pandemic times: Potential ... - CAF

have shown evidence that the effect of corruption on real GDP per capita is more pronounced in countries with low levels of8

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

Given [tex]3x+7=22[/tex], our goal is to isolate [tex]x[/tex] such that will have an equation that tell us [tex]x[/tex] is equal to something.

Start by subtracting 7 from both sides:

[tex]3x+7-7=22-7,\\3x=15[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3}=\frac{15}{3},\\x=\frac{15}{3}=\boxed{5}[/tex]

Therefore, the value of [tex]x=5[/tex] makes the equation [tex]3x+7=22[/tex] true.

Answer:

x = 5

Step-by-step explanation:

Subtract 7 from both sides:  3x + 7- 7 = 22 - 7

Simplify: 3x = 15

Divide both sides by 3

Simplify: x = 5

Hope this helps:)

Answer:

D. 9n = 27

Step-by-step explanation:

If we need one adult for every 9 students, we can represent that as 9n:

if n is the number of adults.

Because we have 27 students, the equation 9n = 27 works.

A better way of formatting the equation is:

n = 27/9

Because it directly shows what the number of adults is, but with some reformatting, it is clearly the same equation.

Answer:

[tex] \frac{1}{1 + \cos(x) } [/tex]

Step-by-step explanation:

[tex]y = \frac{ \sin(x) }{1 + \cos(x) } [/tex]

differentiating numerator wrt x :-

(sinx)' = cos x

differentiating denominator wrt x :-

(1 + cos x)' = (cosx)' = - sinx

[tex] (\frac{u}{v} )' = \frac{v. \: (u)' - u.(v)' }{ {v}^{2} } [/tex]

here,

[tex] = \frac{((1 + \cos \: x) \cos \: x )- (\sin \: x. ( - \sin \: x) ) }{( {1 + \cos(x)) }^{2} } [/tex]

[tex] = \frac{ \cos(x) + \cos {}^{2} (x) + \sin {}^{2} (x) }{(1 + \cos \: x) {}^{2} } [/tex]

since cos²x + sin²x = 1

[tex] = \frac{ \cos \: x + 1}{(1 + \cos \: x) {}^{2} } [/tex]

diving numerator and denominator by 1 + cos x

[tex] = \frac{1}{1 + \cos(x) } [/tex]

The required value of m for the given triangle is given as m = 12.

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,
Applying Pythagoras' theorem,
n² = m² - 6² - - - - (1)

m ² + base² = 24²
base² = 24² - m² - - - - (2)

n² + 18² = base²
From equation 1 and 2
m² - 6² + 18² = 24² - m²
2m² = 24² + 6² - 18²
m = 12

Thus, the required value of m for the given triangle is given as m = 12.

Learn more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ2

9514 1404 393

Answer:

Step-by-step explanation:

Let x and y represent the weights of the large and small boxes, respectively. Then the two delivery weights give rise to the equations ...

  3x +5y -79 = 0

  12x +2y -199 = 0

Using the "cross multiplication method" of solving these equations, we find ...

  d1 = (3)(2) -(12)(5) = 6 -60 = -54

  d2 = 5(-199) -(2)(-79) = -995 +158 = -837

  d3 = -79(12) -(-199)(3) = -948 +597 = -351

1/d1 = x/d2 = y/d3

x = d2/d1 = -837/-54 = 15.5

y = d3/d1 = -351/-54 = 6.5

The large boxes weigh 15.5 kg; the small boxes weigh 6.5 kg.

_____

Additional comment

My preferred quick and easy way to solve equations like this is using a graphing calculator. In addition to that, an algebraic method is shown.

The "cross-multiplication method" shown here is what I consider to be a simplified version of what you would find in videos. It is a variation of Cramer's rule and the Vedic maths methods of solving pairs of linear equations. I find it useful when "elimination" or "substitution" methods would result in annoying numbers. In such cases, it uses fewer arithmetic operations than would be required by other methods.

Short description: writing the coefficients of the general form equations in 4 columns, where the last column is the same as the first, a "cross multiplication" is computed for each of the three pairs of columns. Those computations are of the form ...

  [tex]\text{column pair: }\begin{array}{cc}a&b\\c&d\end{array}\ \Rightarrow\ d_n=ad-cb[/tex]

The relationship between the differences d₁, d₂, and d₃ and the variable values is shown above.

Answer:

$150

Step-by-step explanation:

discount=60%

let the price=x

(100-60)% of x=$60

40% of x=60

x=60×(100/40)=150

2 hours=160

1 hours=160÷2=80

30 minutes=80÷2=40

Answer:She can paste 40 stamps in 30 minutes

Answer:

9876

Step-by-step explanation:

7:5

x:4115

To find x mulitply 7 by 823 (because this is what we multiplied 5 by in order to get 4115)

7*823= 5761

Take the sum to find the total number of votes

4115+5761= 9876

Here is your Answer

Step-by-step explanation:

Ravi bought rice = 50kg

Rate it =40kg

Sold it at the rate = = 44kg

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Starting from right to left...

9 is in the ones place

8 is in the tenths place

4 is in the hundreds place

7 is in the thousands place.

I hope this helps!

Answer: No, The goal when testing a hypothesis is to to guess a large significant level to possibly have the answer correct based upon evidence. False. It needs to be a large significant level

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  x = 0.25, 0.75, 1.25, 1.75

Step-by-step explanation:

The asymptotes of tan(α) are found at ...

  α = π/2 +nπ

We want to find x such that ...

  2πx = α = π/2 +nπ

Dividing by 2π gives ...

  x = 1/4 +n/2 . . . . . . . for integers n

In the desired range, the values of x are ...

  x = 0.25, 0.75, 1.25, 1.75

Answer:

[tex]5\sqrt{5}[/tex]

Step-by-step explanation:

1. [tex]5^2 + 10^2 = c^2[/tex]

2.[tex]125 = c^2[/tex]

3. [tex]c=5\sqrt{5}[/tex]