o study the population of consumer perceptions of new technology, sampling of the population is preferred over surveying the entire population because ______. Multiple Choice sampling is more accurate we can compute z-scores it is quicker sampling methods are simple

Chen was wrong with the explanation the voter of a quadratic equation is at v(h, k) where

The quadratic equation of the form ax² + bx  + c can be compared with the equation of the form a(x - h)² + k which is the vertex form

In the vertex form, the vertex is easily seen an it is

v ( h, k ) and the value of h and k is defined to be

h = b / 2a

k = -(b² - 4ac) / 4a

Hence we can say that k is not equal to c and this makes Chen wrong

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Answer:

Step-by-step explanation:

Given the algebraic equation of a line, we are able to graph it in a number of ways. In this section, we will be given a geometric description of a line and be asked to find the algebraic equation. Finding the equation of a line can be accomplished in a number of ways, the first of which makes use of slope-intercept form,  

y

=

m

x

+

b

. If we know the slope, m, and the y-intercept, (0, b), we can construct the equation.

Example 1: Find the equation of a line with slope  

m

=

−

5

8

and y-intercept (0, 1).

Solution: The given y-intercept implies that  

b

=

1

. Substitute the slope m and the y-value of the y-intercept b into the equation  

y

=

m

x

+

b

.

Answer:  

y

=

−

5

8

x

+

1

\(\tt{}2x + 3x + 5x\)

\(\tt{}(2 + 3 + 5)x\)

\(\tt{}10x\)

Answer:

10x

Step-by-step explanation:

2x + 3x + 5x

Simplify the terms by subtracting or adding.

(2 + 3 + 5)x

Calculate the sum of positive numbers.

Answer:

\(\\ m=3\)

Step-by-step explanation:

\(\\ m=\frac{y_2-y_1}{x_2-x_1}\\\\ m=\frac{2-(-1)}{0-(-1)}\\\\ m=\frac{2+1}{1}\\\\ m=3\)

Hope this helps you. Have a nice night.

Answer:

y = -3x + 4

Step-by-step explanation:

y = mx + c

y = gradient(x intercept) + y intercept

y = -3x + 4

Answer:

y = 2x + 4

Step-by-step explanation:

4x - 2y = -8

Then subtract 4x from both side which will give you

-2y = -4x - 8

then divide -2 from both sides which will give you

y = 2x + 4

slope: 2

y intercept: 4

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 in^2 = 5 mi * 5 mi = 25 mi^2

2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2

Answer:

Dimension of the extended stage is; length = 6 m and width = 2x m

Step-by-step explanation:

Area of the rectangular outdoor = length x width

New area = area of the outdoor + area of the extended stage

                = 216 + 12x

                = 6(36 + 2x)

New area = 6 (36 + 2x)

So that;

The dimension of the rectangular outdoor = 36 x 6

i.e length = 36 m and width = 6 m

So that the dimension of the extended stage = length x width

                                     = (6 x 2x) m

i.e length = 6 m and width = 2x m

The ratio of c:d:e is 1:3:2.

To find the ratio, you can multiply the first ratio by the second ratio: 1 * 2 = 2 and 3 * 3 = 9, so the ratio becomes 2:9:6, which can be simplified to 1:3:2.

A ratio is a comparison between two values. To calculate a ratio, divide the first value by the second value. For example, if you have three apples and seven bananas, the ratio of apples to bananas would be 3/7.

You can also simplify a ratio by dividing both values by their greatest common divisor. For example, if the ratio of apples to bananas is 6/14, you could simplify it to 3/7.

It's also possible to express a ratio as a fraction, decimal, or percentage. To convert a ratio to a fraction, simply divide the two values. To convert a ratio to a decimal, divide the numerator by the denominator. To convert a ratio to a percentage, multiply the ratio by 100.

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Answer:

-7°F/hour.

Step-by-step explanation:

If the total change is -28°F, and we know it took 4 hours, we just have to divide the total change by hours taken to get the change per hour.

So we do the following: \(\frac{-28F}{4} = -7F/h\)

So the temperature changes (drops) by -7°F/hour.

Answer:

least common multiple is 180

Answer:

90 days.

Step-by-step explanation:

if he had to read a 1,620 paged book, and 18 pages a day, it would take him 90 days to read the book.

1,620 divided by 18 = 90

Answer:

This is worth more than 15

Step-by-step explanation:

Image of a right triangular prism and 2 nets. The triangle bases have base 4, height 3, and diagonal side 5. The length of the prism from the bases is 8.6. Net A has 3 rectangles in a row. The middle one has sides AC and CD. This middle one has triangle ABC on top and identical triangle below. Net B is the same except that the triangle base ABC is on top of the last rectangle which has sides AC and CD. Units are in inches.

Step-by-step explanation:

Mu has walked 15 laps to raise a total of $105. Mu is walking laps to raise money for charity.

For each lap, her sponsors will donate $7. Mu has walked lll laps and raised a total of $105.

To write an equation that can describe the situation, we can use the formula \(y = mx\),

where y represents the total amount raised, m represents the amount raised for each lap, and x represents the number of laps walked.

Therefore, the equation that describes the situation is:

y = 7x (Mu's sponsors will donate $7 for each lap she walks).

Since Mu has walked lll laps and raised a total of $105,

we can substitute these values into the equation and solve for x. 105 = 7 × lll

To find lll, we can divide both sides by 7.

This gives us: lll = 15

Therefore, Mu has walked 15 laps to raise a total of $105.

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A magic square is a square containing a number of integers arranged in such a way that the sum of the numbers vertically, horizontally and diagonally is always the same number.

Hope it helps.

Do comment if you have any query.

A magic square is a large square that is divided into smaller squares. In a magic square, the smaller squares that make up the diagonal, horizontal and vertical magic square add up to the same value.

Popular magic squares include:

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The values of a and b in the equations are 100 each

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =

The given equations are

a. 5x²/2 when x = 10

By substitution, a= 5(10)²/2

This implies that a=( 5 * 100)/2

a= 200/2 = 100

b = [2x²(x-5)]/10x

Substituting x=10 in the equation we have

b = 2*10²(10-5)]/[10(10)]

200(5)/100

b= 10000/100

Therefore b = 100

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Please find attached photograph for the solution to your question

Answer:

\( ({a + b})^{2} \)

\((a + b)(a + b)\)

\( {a}^{2} + 2ab + {b}^{2} \)

hope this help you

This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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Answer:

77.88

Step-by-step explanation:

just did the test!

The solution is 77.88°

The value of arc cos ( 0.21 ) is 77.88°

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the angle be represented as A

Now , the value of A is

A = arc cos ( 0.21 )

The value of arc cos ( 0.21 ) = 1.35922137 rad

The value of 1 rad = ( 180°/π ) degrees

So , 1.35922137 rad = 1.35922137 ( 180°/π ) degrees

On simplifying the equation , we get

The value of arc cos ( 0.21 ) = 77.8776478 degrees

Rounding to the nearest hundredth , we get

The value of arc cos ( 0.21 ) = 77.88 degrees

Hence , the measure of arc cos ( 0.21 ) is 77.88°

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Answer:

I would say b

Step-by-step explanation:

I choose b because the question is linear and also non linear it only told us the distance which is 500x and no time but is saying as a function of time

C. The function is linear.

The given function is y = 500x, where x represents the time and y represents the distance from Portland. In this function, y is directly proportional to x, meaning that for every unit increase in x, y increases by a constant amount of 500.

Since the function is of the form y = mx, where m (in this case, 500) is the constant of proportionality, the function is linear.

Therefore, the correct answer is:

C. The function is linear.

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The weight that corresponds to each event can be calculated using the mean and standard deviation of the normally distributed random variable.

Since the weight of a small Starbucks coffee follows a normal distribution with a mean of 390 grams and a standard deviation of 9 grams .We can use the properties of the normal distribution to find the weight corresponding to each event. To find the weight corresponding to a specific event, we can use the z-score formula: z = (x - μ) / σ, where x is the weight, μ is the mean, and σ is the standard deviation. Rearranging the formula, we have x = z * σ + μ. For example, to find the weight corresponding to an event with a z-score of -1.5, we can substitute the values into the formula:

x = (-1.5) * 9 + 390

x = 375.5 grams.

The weight corresponding to the event with a z-score of -1.5 is 375.5 grams. Using the z-score formula, we can find the weight for any desired event we can use the properties of the normal distribution to find the weight corresponding to each event.

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In the long run, if a company becomes obsolete and cannot compete effectively in the market, it will eventually exit the market.

This will lead to a reduction in the overall level of industry output and a shift in the market supply curve. As a result, the long-run average total cost (LRATC) of the remaining firms in the market may increase or decrease depending on the specifics of the situation.

If the exiting company had high production costs, its exit may lead to a decrease in the industry's LRATC as the remaining firms may experience a reduction in input prices or an increase in market share. However, if the exiting firm was a low-cost producer, its exit may lead to an increase in the industry's LRATC due to the loss of economies of scale or increased competition.

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Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

It will take 20 minutes to dissipate the queue that resulted from blockage if

the freeway has the capacity of 4000 vph.

Mean service rate(M) = 4000vph

Mean arrival rate(λ)  = 3000vph

Block time duration of queue (r) = 5min

Time taken to dissipate the queue =  t

t = (M * r)/(M-λ)

Substitute  the given values

t  =  (4000*5)/(4000-3000)

t = 20000/1000

t = 20minutes.

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The value of Blank 1 is 0.167.

The set of numbers is given as S = [-1, 0, 2, 7, 10, 13]. The following are the values of G, M, Z, and L:G = the number is greater than 0, M = the number is at most 2, Z = number is Zero, and L = number is less than 1.P(Z) = Blank 1.

The probability of Z (a number being zero) is equal to the number of elements in S that are zero, divided by the total number of elements in S (that is, the size of S).

We can observe that only one element is zero from the given set S.

Hence the probability of an element being zero is 1/6, which can be represented as a fraction or in decimal form as 0.1666667.Rounding the result to 3 decimal places, we get the answer as 0.167.

Therefore, the value of Blank 1 is 0.167.

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