Use the information given to find the appropriate minimum sample sizes. (Round your answer up to the nearest whole number.)
Estimating the difference between two means with a 95% margin of error equal to +5. Assume that the sample sizes will be equal and that σ1 ≈ σ2 ≈ 39.7.
n1 = n2 ≥ ___
You may need to use the appropriate appendix table to answer this question.

Answer:

The answer would be $6,700

Answer:

The total cost of a bicycle after the tax = $900.8

Step-by-step explanation:

Given

To determine

The total cost of the bicycle with a sales tax include

The tax amount can be calculated by multiplying Sales tax i.e. 0.075 with the cost of bicycle before tax i.e. 837.95.

Thus,

Tax amount = 7.5% × 837.95

                    = 0.075 × 837.95

                    = $62.85

Thus, the tax amount is: $62.85

Total cost after the tax can be calculated by adding the Tax amount and the cost before tax.

Therefore,

The total cost of a bicycle after the tax = $62.85 + $837.95

                                                                 = $900.8

Hence, the total cost of a bicycle after the tax = $900.8

Answer:

The total cost of a bicycle after the tax = $900.8

Step-by-step explanation:

Describe four common ways in which individuals respond to perceived inequity are -

Equity, also known as shareholders' equity (or shareholders' equity for private companies), is the sum of money which would be handed back to a company ’s creditors if each of its assets have been liquidated and all of its debt was paid off in the event of liquidation.

Some key features regarding the equity are-

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Answer:

$21

Step-by-step explanation:

Answer:

Correct Answer: Option A

Step-by-step explanation:

cos(x + 25o) = sin 45o

using cos θ = sin(90 - θ)

cos(x + 25o) = cos(90 - 45)

cos(x + 25o) = cos 45

x + 25 = 45

x = 45 - 25

x = 20o

Hope it helps ♡＾▽＾♡

Because it only considers the worst possible outcomes, the maximin decision criterion has the least downside risk.

Wald's maximin model is a non-probabilistic decision-making model in game theory and decision theory.

It says that while choosing a course of action, the decision-maker should choose the one whose greatest (highest) loss is better than the least (minimum) loss of all other options that are feasible under the current conditions. The approach that maximizes one's own lowest payout is referred to as "maximin" in non-zero-sum games.

When given a choice between numerous options, the maximin approach instructs managers to consider each option's worst-case outcome. This presupposes that each choice has a number of possible outcomes.

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Answer:

3x^(2) - 5x - 6

Step-by-step explanation:

the answer is 3x^(2) - 5x - 6

Answer:So you want to divide your fraction 5/3 by your whole number 2, right? You're in the right place. In this simple walkthrough guide, I will show you exactly what you need to do to divide any fraction by a whole number (it's super simple). Keep reading to find out!

The number above the dividing line is the numerator, and the number below the line is the denominator. Simple stuff but sometimes we can all get a little forgetful!To visualize the question we are trying to solve, let's put 5/3 and 2 side-by-side so it's easier to see:

5

3

÷   2

So here is the incredibly easy way to figure out what 5/3 divided by 2 is. All we need to do here is keep the numerator exactly the same (5) and multiple the denominator by the whole number:

Step-by-step explanation:5

3 x 2

=

5

6

Answer:

3

10

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by its reciprocal.

For example, dividing a number by 2, is the same as finding half of it.

16

÷

2

=

16

×

1

2

=

8

In this case:

3

5

÷

2

=

3

5

×

1

2

←

there is nothing to cancel

3

10

Yes, it is possible for a plot of a partial expansion of f[x] to share ink with the plot of f[x] all the way from -[infinity] to + [infinity].

Explanation:

We can approximate f(x) as a Fourier series, as follows:

\($$f(x) = \sum_{n=0}^{\infty}a_n\cos\left(\frac{n\pi x}{L}\right)+\sum_{n=1}^{\infty}b_n\sin\left(\frac{n\pi x}{L}\right)$$\)

If f(x) is an odd function, the cosine terms are gone, and if f(x) is an even function, the sine terms are gone.

We can create an approximation for f(x) using only the first n terms of the Fourier series, as follows:

\($$f_n(x) = a_0 + \sum_{n=1}^{n}\left[a_n\cos\left(\frac{n\pi x}{L}\right)+b_n\sin\left(\frac{n\pi x}{L}\right)\right]$$\)

For any continuous function f(x), the Fourier series converges uniformly to f(x) on any finite interval, as given by the Weierstrass approximation theorem.

However, if f(x) is discontinuous, the Fourier series approximation does not converge uniformly.

Instead, it converges in the mean sense or the L2 sense. The L2 norm is defined as follows:

\($$\|f\|^2 = \int_{-L}^{L} |f(x)|^2 dx$$\)

Hence, it is possible for a plot of a partial expansion of f(x) to share ink with the plot of f(x) all the way from -[infinity] to + [infinity].

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The expression which is equivalent to \(5 log_{10}x+log_{10}20-log_{10}10\) is

\($5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(20x^5)-1\).

A logarithmic equation exists as an equation that applies the logarithm of an expression having a variable.

Product Rule Law: \(log_{a} (MN) = log_{a} M + log_{a} N\)

Quotient Rule Law: \(log_{a} (M/N) = log_{a} M - log_{a} N\)

Power Rule Law: \(log_{a}M^{n} = n log_{a} M\)

Given: \(5 log_{10}x+log_{10}20-log_{10}10\)

\(5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(x^5) +log_{10}20 -log_{10}10\)

apply the law of logarithm

\(5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(x^5*20/10)\)

\(5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(x^5*2)\)

\(5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(2x^5)\)

Another possible equivalent expression is:

\($5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(x^5*20)-log_{10}10\)

\($5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(20x^5)-log_{10}10\)

Substitute the value of \(log_{10}10 = 1\)

\($5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(20x^5)-1\)

Therefore, the correct answer

\($5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(20x^5)-1\).

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Answer:

\(4x + 4 = 4x + 4\)

Step-by-step explanation:

Given

\(4x + 4 = 4x + []\)

Required

Fill in the gap to get an infinitely many solutions

Let the gap be y

\(4x + 4 = 4x + y\)

Collect Like Terms

\(y = 4x - 4x + 4\)

\(y = 4\)

The complete equation is: \(4x + 4 = 4x + 4\)

Answer:

The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls. Then 4x+5x = 9x is the total number of students. Then the fraction of boys in the class is 4x/9x = 4/9.

Answer:

2

Step-by-step explanation:

Hey There!

When it ask for the scale factor its asking for what did you have to multiply the side length by of figure a to get the similar side length of figure b

for example in figure A the base length is 7

to get the the base length of figure B (14) they multiplied the base length of figure A by 2

7x2=14

therefore the scale factor is 2

Hi ! Dude

Answer:

20 is the correct answer

Step-by-step explanation:

After reading question we can understand that we have to find the value of expression by plugin the value of a .

\( \qquad \: \rightarrow 32 - 4a \)

Plugin value of a ,

\( \qquad \:\rightarrow \: 32 - 4(3)\)

\(\qquad \: \rightarrow \: 32 - 12\)

\(\qquad \: \rightarrow \: \underline{ \underline{20}}\)

Hence , 20 is the answer .

        - - - --  - -- - -  -- - - - - -- - - - - - - - - - - - - - - - - - - - - - - - - --

\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

Evaluate the expression for a=3

32-4a

\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

Provided Information:-

To Find:-

In order to do that, we should

 \(\tt{32-4(3)}\)

Multiply:-

\(\tt{32-12}\)

Subtract:-

\(\dashrightarrow\bigstar\boxed{\boxed{\underline{\bold{20}}}}\dashleftarrow\)

So our final solution is 20.

     - - -- - - - - - - - - - - - - - - - - -- - - - - - - -  - - -- -- -  - - - -- - - - - - - - - - - - -

Answer:

(5,2) and (6,5)

length of side = sqrt10 ~= 3.16 units

Area = 12 sq units

Step-by-step explanation:

It really helps to graph the given information. See image. The sides have the same slope bc they are parallel. If you go UP3 & OVER1 to get from the first point to the second point, then do that again on the right side. See image. Use distance formula or pythagorean thm to find the length:

c^2 = 3^2 + 1^2

c^2 = 9+1

c^2 = 10

c = root10 ~= 3.16

Area of a parallelogram is b•h

A = 4•3

= 12

see image.

Answer:

Step-by-step explanation:

Let's define the variables as follows:

Let x be the number of free throws Zoe made.

Let y be the number of two point shots Zoe made.

We know that Zoe made a total of 11 shots altogether, so we can write the equation:

x + y = 11

We also know that Zoe scored a total of 15 points. Since free throws are worth 1 point each and two point shots are worth 2 points each, we can write the equation:

x + 2y = 15

These two equations form a system of equations that can be used to determine the number of free throws Zoe made and the number of two point shots she made.

The mean longevity of people in the region is approximately 82.336 years, as calculated by finding the z-score corresponding to the 30th percentile and using the formula for a normal distribution.

Given that the longevity of people in the region is normally distributed with a standard deviation of 14 years, we can determine the mean longevity by finding the z-score corresponding to the 30th percentile.

To find the z-score, we look up the corresponding value in the standard normal distribution table. The 30th percentile corresponds to a z-score of approximately -0.524.

Using the formula for a normal distribution:

z = (x - μ) / σ

Where z is the z-score, x is the value, μ is the mean, and σ is the standard deviation.

Rearranging the formula to solve for the mean, we have:

μ = x - (z * σ)

Substituting the known values, we get:

μ = 75 - (-0.524 * 14)

μ ≈ 75 + 7.336

μ ≈ 82.336

Therefore, the mean longevity of people in the region is approximately 82.336 years.

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Step-by-step explanation:

Using the modified picture attached to this answer;

Parameters

x = Angle X

8 = x

19 = y

14 = z

Therefore,

Using Cosine rule

x² = y² + z² - 2·y·z·cos X

Masking Cos X the subject of the formula,

Cos X = (y² + z² - x²) / (2·y·z)

Cos X = (19² + 14² - 8²) / (2·19·14)

Cos X = (361 + 196 - 64) / 532

Cos X = (557 -64) / 532

Cos X = 493 / 532

Cos X = 0.92669

But, since we are looking for angle X, we have to divide both sides by Cos, therefore having;

X = Cos-¹ [0.92669]

Since 1 / Cos = Cos-¹

Therefore,

X = 22.075

And since x, our unknown, is equal to angle X, then,

x = 22.1 (to the nearest tenth)

The probability that it will be detected in the next hour is 0.04.

For a system, a fault test each hour is a Bernoulli with success defined as detecting a fault.

The probability of success is 0.78

Let 'x' denote the number of tests conducted up to and including the test that detected a fault.

Then x* - Geometry (0.78).

The probability mass function of the random variable x is;

P(x) = { P( 1 - P )ˣ⁻¹   x = 1,2, . . .

         { 0                 otherwise

The Probability that a fault will be detected on the third hour, given that it has gone undetected during the first two hours is;

P(X = 3 / x = 2) = P(X = 3 and x > 2) / P(x > 2)

                        = P( x = 3 ) / 1-  P(x ≤ 2)

                        = P( x = 3 ) /  1-P(x = 1) - P(x = 2)

                        = P(3) /  1-P(1) - P(2)

                        = (0.78)(0.2)² / 1 - (0·78)(0.2) - (0.78)(0.2)

                        = (0.78)(0.04) / 1 - (0.78)(0.2) - (0.78)(0.2)

                        = 0.0312 / 1 - 0.156 - 0.156

                        = 0.0312 / 0.688

                        = 0.04

The probability that it will be detected in the next hour is 0.04

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The parametric equation of the line which is the intersection of the planes - x+3y+z=7 and x+y=1 is-  x= 1- t,  y= t,  z= 8- 4t.

Given:  -x+3y+z=7      - (i)

            x+y=1            - (ii)

Rearrange the equation (i) and (ii),

we get,   -x+3y+z-7=0   -(iii)

               x+y-1=0       -(iv)

To find the parametric equation of the line, solve the equation (iii) and (iv) simultaneously,

On solving the equation simultaneously we get,

4y+z-8=0

arrange this equation,  z=8-4y   -(v)

Let y=t     -(vi)

putting the value of y in equation (v)

so we get,  z=8-4t     -(vii)

putting the value of y and z in equations (iii) or (iv)

-x+3t+8-4t-7=0

x=1 -t

Therefore the parametric equation of the line which is the intersection of the planes -x+3y+z=7 and x+y=1  are x = 1 - t, y = t, z = 8 - 4t.

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The volume is 1239.33 unit³

Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies. Volume is measured in cubic units like m³, cm³, in³, etc. Volume is sometimes referred to as capacity.

The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim. The quantity of space occupied by a three-dimensional object can also be used to describe volume.

Given:

l= 11

w= 13

h= 18 + 8 = 26

Now, Volume of given solid

=1/3 l x w x h

=1/3 x 11 x 13 x 26

= 3718/3

= 1239.33 unit³

Hence, the volume is 1239.33 unit³

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To find the equation of the tangent line to the curve y = 7sin(x) at x = π, we first need to find the slope of the tangent line.

We can use the derivative of y with respect to x to find the slope:

dy/dx = 7cos(x)

At x = π, the value of the derivative is:

dy/dx = 7cos(π) = -7

So the slope of the tangent line at x = π is -7.

To find the equation of the tangent line, we also need to know the y-coordinate of the point on the curve where x = π.

y = 7sin(π) = 0

So the point on the curve where x = π is (π, 0).

Now we can use the point slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is a point on the line.

Plugging in the values we found, we get:

y - 0 = -7(x - π)

Simplifying, we get:

y = -7x + 7π

So the equation of the tangent line to y = 7sin(x) at x = π is y = -7x + 7π.

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Answer:

x ≈ 2.8

Step-by-step explanation:

using the sine ratio in the right triangle

sin40° = \(\frac{opposite}{hypotenuse}\) = \(\frac{PQ}{OQ}\) = \(\frac{1.8}{x}\) ( multiply both sides by x )

x × sin40° = 1.8 ( divide both sides by sin40° )

x = \(\frac{1.8}{sin40}\) ≈ 2.8 ( to the nearest tenth )

Answer:2.8

Step-by-step explanation:

By using sine ratio , sine40°=opposite/hypotenuse

or, sine40°= 1.8/

or, x= 1.8/sine40°

or,x= 2.8003.......

or,x =2.8

Answer:

100 i think

Step-by-step explanation:

Answer:

Im pretty sure it is 2,4, and 5

Step-by-step explanation:

Answer:

That smile tho lol

anywayssssss

b= 16 mm

Step-by-step explanation:

Pythagorean theorem is a^2 + b^2= c^2, so-

12^2 +b^2= 20^2

144+b^2=400

b^2=400-144

b^2= 256

b= 16

Answer:

16 mm

Step-by-step explanation:

A²+B²=C²

12²+x²=20²

144+x²=400

x²=400-144

x²=256

√x = √256

x = 16

Accoding to the calculations , the correct answer is:

A) Depreciation charge 16,000; revaluation surplus £20,000

According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.

In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).

To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:

£400,000 / 25 = £16,000

Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.

Now, let's calculate the balance on the revaluation surplus as at that date.

The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).

Revaluation surplus = Fair value - Carrying amount

Revaluation surplus = £500,000 - £480,000

Revaluation surplus = £20,000

Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.

Based on the calculations above, the correct answer is:

A) Depreciation charge £16,000; revaluation surplus £20,000

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Answer:

46

Step-by-step explanation:

Answer:

D is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.