Write an equivalent expression for 8(1/7y - 7)​

well, clearly is 4 :).

now, if we take 25 to be the 100%, what is 4 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 25 & 100\\ 4& x \end{array} \implies \cfrac{25}{4}~~=~~\cfrac{100}{x} \implies 25x=400\implies x=\cfrac{400}{25}\implies x=16[/tex]

The company fails to reject H0, making a Type II error. So the option B is correct.

In the given question,

Mars candy company is testing one of its machines in the factory to make sure it is producing more than 98% high-quality candy (H0: p = 0.98; Ha: p > 0.98; α = 0.05).

The test results in a p-value of 0.15.

However, the company is unaware that it is actually producing 99% high-quality candy.

We have to find MOST likely happens as a result of the testing.

The given options are:

A. The company rejects H0, making a Type I error.

B. The company fails to reject H0, making a Type II error.

C. The company rejects H0, making a Type II error.

D. The company fails to reject H0, making a Type I error.

E. The company rejects H0 correctly.

The company will not be rejecting the null hypothesis when it should have been, given the P-value is approaching 0.05.

Hence, the business commits a Type II error by failing to reject H0.

So the option B is correct.

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A treaty is a series of higher-level business agreements or contracts involving two or more corporations, governments, royalty, or organizations of any kind.

Contract Basics :

To understand the basics of contracts, it is important to first know what a treaty is. Firstly, it is the first stage of a treaty, treaty, alliance, or agreement. It consists of the agreements, rights and obligations between two or more parties and the terms and conditions mutually agreed upon by all parties.

Treaties as a source of International law . The treaties are considered one of the most important sources of international law. If there is a treaty between two countries, the rights and obligations under that treaty become the laws of both countries.

The sources of international law are:

International treaty law derives from the 1969 Vienna Convention on the Law of Treaties. Treaties and their enforceability. The contract will be interpreted in accordance with international law. Types of Treaties : The treaties are classified into two he following types

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The consumer surplus is $5.

Consumer surplus is defined as the amount saved based on the estimated value and actual paid price. It is the difference between the amount that customer wants to pay and the amount that customer has to pay based on the final price.

Leon is willing to pay $10. The discount offered of $10 item is 50%. Hence, the final price will be -

Final price = 10 - 50%×10

Final price = 10 - 5

Final price = 5

Surplus amount = 10 - 5

Surplus amount = $5

Thus, the surplus amount for Leon is $5.

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The complete question is -

Determine the amount of consumer surplus generated: Leon goes to the clothing store to buy a new T-shirt, for which he is willing to pay up to $10. He picks out one he likes with a price tag of exactly $10. When he is paying for it he learns that the T-shirt has been discounted by 50%

Answer:

36√3

Step-by-step explanation:

Given a=36 and ∠α=30°,

b = √c^2 - a^2

= √72^2 - 36^2

= √3888

= 62.35383 = 36√3

Thanks.

The x-intercept is a point of the form (x,0)

What is the x-intercept?

The intersection of a function or equation's graph with the x axis is known as the x intercept. This can be compared to a point having a value of 0.

For any given curve, the x-intercept is a coordinate that is plotted on the x-axis. To put it another way, the x-intercept is the value of the x coordinate at the point where the graph crosses the x-axis, or we can say that it is the value of the x coordinate at a point where the value of the y coordinate equals zero.

Due to its location on the horizontal axis, this is also known as the horizontal intercept.

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Total time(arithmetic) taken by app to show nearest charging port will be 30 seconds.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division.

Main body:

As the driving directions algorithm requires searching through many possible routes to calculate the optimal route. the other operations, like incrementing the index and comparing the distances, take only a few nanoseconds.

Hence total time will be 30 seconds.

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The congruent postulate in which two corresponding angles and non-Included side of the two triangles are congruent is AAS. AAS is an abbreviation of angle angle side postulate.

Triangles are said to be congruent if they are of  identical sides and angles. The three sides of first triangle are exactly equal in measure to the three sides of second triangle. The three angles of first are each the same angle as the second triangle.

Triangles are said to be congruent when all corresponding sides and interior angles are congruent. The triangles will have same shape and size, but the first triangle may be a mirror image of the other triangle.  

The definition of Angle Angle Side Theorem also states that-

If two angles and the non-included side of first triangle are congruent to the corresponding parts of second triangle, then the  triangles are said to be congruent.

Other theorems which triangles follow are Side Angle Side, Side Side Angle, Angle Side Side, Side Side Side, Angle Angle Angle etc.

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The output of the function is -1 when the input is 0

The value is -1

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be  y - y₁ = m ( x - x₁ )

Now , let us find two points from the graph

Let the two points in the graph be A ( x₁ , y₁ ) and B ( x₂ , y₂ )

And ,

A ( x₁ , y₁ )  = A ( 2 , 0 )

B ( x₂ , y₂ ) = B ( -4 , -3 )

In order to find the slope of the line ,

The equation for slope is

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values , we get

Slope m = ( -3 - 0 ) / ( -4 - 2 )

              = -3 / -6

              = 1/2

So , the slope of the line is m = 1/2

To find the equation of line

y - y₁ = m ( x - x₁ )

Substituting the values , we get

y - 0 = 1/2 ( x - 2 )

y = x/2 - 1

So , the equation of line is y = x/2 - 1

Now , when the input is 0 , the value of x = 0

So , the output will be

y = x/2 - 1

y = 0 - 1

y = -1

Hence , the output of the function is -1 when the input is 0

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The explicit formula to represent the given  situation is

Explicit: pn = 14 + 9*n

Here we want to express the number of pizza delivered. Lets try to understand the case.

If we buy one pizza (p1) the cost is 14 because of the delivery plus 9 for the cost of the pizza. So:

p1 = 14 + 9 = 23

If we buy 2 pizzas (p2) we have to pay 14 for the delivery and 9 for each pizza:

p2 = 14 + 9 + 9 = 14 + 2*9 = 32

If 3 pizzas are bought (p3) the reasoning is the same, 14 for the delivery and 9 for each pizza:

p3 = 14 + 9 + 9 + 9 = 14 + 3*9 = 41

Here we can see a pattern: for any amount of pizzas n the cost will be 14 plus n-times 9, the price of a pizza. It is:

pn = 14 + 9*n

But we can separate the last equation in such a way:

pn = 14 + 9*(n-1) + 9 , as 9*(n-1) + 9 = 9*n

But if our general formula it true, the first to terms on the right are the vost of buying n-1 pizzas, so:

pn = pn-1 + 9

We can keep on separating terms as we did to arrive to this form, this is, separating the 9n in  9*(n-2) + 9*2,  9*(n-3) + 9*3, ...,  9*(n-m) + 9*m for any m < n . Here I will keep pn = pn-1 + 9 as the Recursive Formula, but you could use other formulation with, e.g., pn-2, pn-3, etc, using the above recursion.

Now, the explicit formula is such that gives as the value of any amount, finding all the terms of the sequence with those not depending on previous terms (contrary to the recursive). This formula was showed above and is: pn = 14 + 9*n. This is, given any number of pizzas we can find the cost without knowing the cost of previous values.

So, we have:

Recursive: pn = pn-1 + 9

Explicit: pn = 14 + 9*n

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In a systematic sample, the only samples possible are those including every k^th item from the random starting position.

Simple random sampling otherwise called probability sampling involves selecting a subset of a part of a population in which each member of the population has equal chances of being selected while systematic sampling involves the use of sampling interval which is determined by dividing the population by the sample size and a random starting point is selected. for example let say we have a population of 1000 people and we want to systematically select 50 people, 1000 /  50 = 20, it means after choosing a random starting point, we select every 20th person after the starting point until the desire sample size has been attained.

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The height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

The volume of the cylinder can = 1000 cubic cm

Consider the height of the cylinder as h and the radius of the base is r

Volume of the cylinder = π[tex]r^2[/tex]h = 1000

h = 1000 / π[tex]r^2[/tex]

The surface area of the cylinder

A = 2π[tex]r^2[/tex] + 2πrh

A = 2π[tex]r^2[/tex] + 2πr(1000 / π[tex]r^2[/tex] )

A = 2π ( [tex]r^2[/tex] + 1000 / π[tex]r^2[/tex])

Differentiate the terms

A' =  2π (2r + 1000 / π[tex]r^3[/tex])

When the minimum surface area

2π (2r + 1000 / π[tex]r^3[/tex]) = 0

r = [tex](1000/2\pi )^\frac{1}{3}[/tex]

r = 5.41 cm

Then,

h =  1000 / π[tex]r^2[/tex]

= 1000 / (π × 5.41 × 5.41)

= 1000 / 91.94

= 10.87 cm

Hence, the height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

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The sum for each geometric sequence is 62.

Given:

Geometric sequence,

2 4 8 16 32

Number of terms n = 5

First term a = 2

common ratio r = 4/2

= 2

Sum [tex]S_5 = a(r^n-1)/r-1[/tex]

= 2(2^5 - 1)/2-1

= 2(32 - 1)/1

= 2(31)/1

= 2*31

= 62

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Answer:

11,520

Step-by-step explanation:

If the cost of carpeting 1 sq.m of floor is Rs 120 , what is the cost of carpeting 96 sq. m of floor​?

120 * 96 = 11,520

When there is relationship between two variable is in table it represents a function.

A function assigns only output to each input. The value that is put into a function is the input. The result is the output.

Relationships between input values and output values can also be represented using tables. The values in the first column are the input values. The values in the second column are the output values. The relationship represents a function if each input value is paired with only one output value.

For examples :

In Given table below , Since each input value is paired with only one output value, the relationship given in the above table is a function.

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Answer:

D). x+17=32

Step-by-step explanation:

32 is the total

and Geraldine and Felicia together would get 32

so, Felicia ran D). x+17=32 in an equation

We can reject the null hypothesis at the 0.05 level and accept the alternative hypothesis.

A one-sided test will test using the full alpha to test whether the result is far enough in one direction. A two-sided test will split the alpha in half to test whether the result is too big or too small.

The null hypothesis is:

[tex]\mathit{H}_{0}: \mu= 2.5[/tex]

The alternative hypothesis is:

[tex]\mathit{H}_{1}: \mu > 2.5[/tex]

The z-score for a mean of 3 is:

[tex]z = (x- \mu)/ (\sigma/ \sqrt{n})) \\ = (3-2.5)/(1.8/\sqrt{n})) \\ = (.5)/(1.8/6)) \\ = (.5)/(.3)) \\ = 1.666666667[/tex]

The z-score for the 0.05 significance level is 1.645, which is less than the mean of 3 z score of 1.67.

Hence, we can go ahead and reject the null hypothesis

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If the hypotenuse of a right angle is 26 ft one leg is 10 ft, and the length of the other leg is 24 feet.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that, the hypotenuse of a right angle is 26 ft one leg is 10 ft.

We have to find the length of the other leg in feet,

To the Pythagoras theorem, the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

h²=p²+b²

26²=10²+b²

b²=576

b=24

Thus, if the hypotenuse of a right angle is 26 ft one leg is 10 ft, and the length of the other leg is 24 feet.

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The development of information applicable to activity that upholds by the fundamental elements of scientific inquiry is referred to as practical research.

In the given question we have to define practical in research.

The development of information applicable to activity that upholds by the fundamental elements of scientific inquiry—clearly specified research questions, reliable patterns of thought, methodical data collecting and analysis, and acceptable conclusions—is referred to as practical research.

Practical research aims to advance knowledge through scientific theories, concepts, and ideas in order to benefit society. Establishing hypotheses, gathering data, evaluating, etc. all serve practical research purposes.

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The solution to the given system of equations y=-3x-2 and 5x+2y=15  is given by the coordinates as [tex](-19,55)[/tex]

What is a System Of Equations ?

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Define Subsitution Method .

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

Define Elimination Method.

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

The solution to the system of equations y = -3x - 2 and 5x + 2y = 15

Given:

[tex]y=-3x-2[/tex]       - (1)

[tex]5x+2y=15[/tex]       - (2)

Here we are using substitution method to proceed with the given problem ,

So,

⇒[tex]5x+2(-3x-2)=15[/tex]

⇒[tex]5x-6x-4=15[/tex]

By further calculation

⇒[tex]-x=15+4[/tex]

⇒[tex]x=-19[/tex]

Substituting x value in (1)

⇒[tex]y=(-3)(-19)-2[/tex]

By further calculation

⇒[tex]y=57-2[/tex]

⇒[tex]y=55[/tex]

Therefore, the solution is [tex](-19,55)[/tex].

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The steps for solving inequality is consisting of four  steps which are elaborated  below :

The first step of solving an inequality is to Eliminate divisions by multiplying all terms by the slightest common denominator of all fractions, then the next step is to Simplify by combining like terms on each side of the inequality, then subtract or add quantities to get the unknown on one side and the numbers on the other, the next step is to divide each term of the inequality by the coefficient of the unknown, just  In case the coefficient is positive, the inequality will stay the same or if the coefficient is negative, the inequality will be reversed.

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Total subscribers that Netflix must sample to obtain the interval to estimate the proportion of their current subscribers who would pay extra for a premium membership including access to more movies and TV shows are 385 subscribers.

For the Wald-type confidence interval, the confidence limits are:

[tex]p-[/tex][tex]z_{\alpha /2}[/tex][tex]\sqrt{\frac{p(1-p)}{n} }[/tex] , [tex]p+[/tex][tex]z_{\alpha /2}[/tex][tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

Where p is the sample proportion attended, n is the sample size, and z∗α/2 is the upper α/2 quantile of the standard normal distribution for a 100 (1−α) % confidence interval. If a 95% CI is needed, this corresponds to α = 0.05, thus

[tex]z_{\alpha /2}[/tex] ≈ 1.96

And, the quantity

ME = [tex]z_{\alpha /2}[/tex][tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

is studied as the margin of error. Since we also need ME ≤ 0.05, we solve for n to acquire

n ≥ p (1 − p) [tex](\frac{z \alpha /2}{ME} )^{2}[/tex]

The only undetermined quantity is p; but since p (1 − p) ≤ 1/4 for all p ∈ [0,1], we identify that a sample size of at least

n ≥ [tex](\frac{z \alpha /2}{2ME} )^{2}[/tex]

undertakes the Wald interval will have a margin of error less than the needed margin no matter the sample proportion checked. Alternating the given values results in

n ≥ [tex](\frac{1.96}{2(0.05} )^{2}[/tex] = 384.16

for that we need to round up to guarantee the sample size is enough, thus n = 385.

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3750 tons of SO₂ are produced for one million tons of coal burned.

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The only price at which consumer and producer plans can be reconciled is the equilibrium price, which is reached when the quantity of the good that consumers wish to purchase, or quantity demanded, equals the quantity that producers wish to sell, or quantity supplied. The equilibrium quantity is the name given to this common quantity..

What is  equilibrium quantity?

What are the equilibrium quantity and price?

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Boxes used in one month is 221/8 as fraction.

What is mixed fraction?

A fraction portrayed with its quotient and remainder may be a mixed fraction. as an example, two 1/3 may be a mixed fraction, wherever two is that the quotient, one is that the remainder. So, a mixed fraction may be a combination of a full range and a correct fraction.

Main body:

Initial boxes with kevin = 55 1/4

converting mixed fraction in simple fraction = 55[tex]\frac{1}{4}[/tex]

= 221/4

Total boxes left = 27[tex]\frac{5}{8}[/tex]

converting it ,

=27 [tex]\frac{5}{8}[/tex] = (27*8+5)/8

=221/8

Total boxes used = 221/4 - 221/8

taking L.C.M , we get

=442-221/8

= 221/8

Hence total boxes used = 221/8

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Answer:

144

Step-by-step explanation:

This is the counting principle.

Multiply the numbers of the items together.

6 × 4 × 3 × 2 = 144

The distance between the two towns Townville and Villaville is 350 miles.

Use the formula d = st, or distance equals speed times time, to find the distance.

Since both represent a certain amount of distance per unit of time, such as miles per hour or kilometers per hour, rate and speed are comparable.

If speed s and rate r are equal, then r = s = d/t.

So, the average speed is 70 miles per hour and 50 miles per hour.

The total time taken is 12 hours.

So, the distance between 2 tows will be:

2*70*50/(70+50)

= 700/12

= 175/3 mi/hr

Then,

TR distance = r*t = (175/3)*12

700 miles/2

350 miles each way

Therefore, the distance between the two towns Townville and Villaville is 350 miles.

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In general, 62% of the values in a data set lie at or below the 62th percentile. 76% of the values in a data set lie at or above the 76th percentile. If a sample consists of 900 test scores, 504 of them would be at or below the 56th percentile. If a sample consists of 900 test scores, 540 of them would be at or above the 40th percentile.

A percentile is a comparison score among a particular score and the scores of the rest of a group. It presents the percentage of scores which a particular score surpassed. For example, if you score 85 points on a test, and are ranked in the 75th percentile, this means that the score 85 is higher than 75% of the scores. In general, percentile defines the percentage of a data set which is below or at a value which is being considered.

Thus, the percentage of the values of a data set that lies below or at the 62th percentile is 62%.

And also, the values of a data set that lies below or at the 76th percentile is 76%.

Given a sample of 900 test scores, the number of test scores that will be at or below the 56th percentile is 56% of 900 which is mathematically represented as:

n = 56% x 900

n = 56/100 x 900

n = 504 test scores

Given a sample of 900 test scores, the number of test scores that will be above the 40th percentile is (100 - 40 = 60) % of 900 which is mathematically represented as:

n = 60% x 900

n = 60/100 x 900

n = 540 test scores

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40 x 7 = _________ x 10 x 7

280 = ? x 70

280 = 4 x 70

check: 280 = 280

4 goes in the blank

Answer:

4

Step-by-step explanation:

40×7=280

10×7=70

280:70=4