in a recent survey 60% of those surveyed indicated that they preffered walking to running. a.if 540 people preffered walking how many people were surveyed?? b.how many people preferred running??​

The percentage of the guests ordered food is 40%

"Information available from the question"

In the question:

There were 425 guests at a hotel. 170 guests ordered food.

To find the what percentage of the guests ordered food?

Now, According to the question:

Total guests in hotel is 425

and, 170 guests ordered food

=> Divide 170 by 425

= 170/ 425 = 0.4

The percentage of the guests ordered food:

=> 0.4 x 100 = 40%

Hence, The percentage of the guests ordered food is 40%

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Answer:

a² + 5a - 8

Step-by-step explanation:

If the construction paper has a length of a² + 7a - 3, and Katelyn cut a piece 2a + 5 long, the amount of construction paper that would be left is,

a² + 7a - 3 - (2a + 5)

= a² + 7a - 3 - 2a - 5

collecting like terms, we have

= a² + 7a - 2a - 3 - 5

simplifying, we have

= a² + 5a - 8

Answer:

x=9 and y=3

Step-by-step explanation:

Let's solve your system by substitution.

−4x+6y=−18 and y=−2x+21

Rewrite equations:

y=−2x+21;−4x+6y=−18

Step: Solve  y=−2x+21for y:

y=−2x+21

Step: Substitute−2x+21foryin−4x+6y=−18:

−4x+6y=−18

−4x+6(−2x+21)=−18

−16x+126=−18(Simplify both sides of the equation)

−16x+126+−126=−18+−126(Add -126 to both sides)

−16x=−144

−16x

−16

=

−144

−16

(Divide both sides by -16)

x=9

Step: Substitute9forxiny=−2x+21:

y=−2x+21

y=(−2)(9)+21

y=3(Simplify both sides of the equation)

Answer:

x=9 and y=3

Answer:

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

Step-by-step explanation:

Here is the complete question. Please find attached a diagram showing the scaled and real drawing

Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long

C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long

D. side a is 175 inches long,side b is 150 inches long, and side c is inches long

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

The scaled drawing is an enlarged image of the original triangle.

It is enlarged at a ratio of 5:1

original dimensions

a = 35/5 = 7

b = 30 / 5 = 6

c = 15/5 = 3

ANSWER

Step-by-step explanation:

DEGREE =2

The total surface area of the square pyramid is approximately 5436.8 square millimeters.

A square pyramid is a three-dimensional geometric shape that has a square as its base and four congruent triangular faces that meet at a common vertex (apex). The pyramid can be unfolded or flattened to form a two-dimensional shape called a net. In this case, the net of the square pyramid consists of the square base and four congruent triangles that make up the lateral faces of the pyramid. To find the surface area of the pyramid, we need to calculate the area of the base and the area of each lateral face and add them together. The area of the square base can be found by multiplying the length of one side by itself. In this case, the length of each side is 40 mm, so the area of the base is 40 x 40 = 1600 mm².

To find the area of each lateral face, we need to use the formula for the area of a triangle, which is ½ base x height. In this case, the base of each triangle is one of the sides of the square base, which is 40 mm. The height of each triangle can be found by using the Pythagorean theorem, which states that the square of the hypotenuse (the slant height of the pyramid) is equal to the sum of the squares of the other two sides (half the length of the base and the height of the pyramid). We know that the length of the base is 40 mm, so half the length is 20 mm. The height of the pyramid can be found by using the formula h = √(l² - (½b)²), where l is the slant height and b is half the length of the base. In this case, the slant height is given as 50 mm, so:
h = √(50² - 20²) = √2300 ≈ 47.96 mm
Now we can calculate the area of each lateral face:
Area = ½ x base x height
Area = ½ x 40 x 47.96
Area ≈ 959.2 mm²
Since there are four congruent lateral faces, the total area of the lateral faces is:
Total lateral area = 4 x 959.2
Total lateral area ≈ 3836.8 mm²
Finally, we can find the total surface area of the pyramid by adding the area of the base and the area of the lateral faces:
Total surface area = Base area + Lateral area
Total surface area = 1600 + 3836.8
Total surface area ≈ 5436.8 mm

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the value of y is -1

Answer:

Step-by-step explanation:

28xy

Answer:

zero residual equals zero mean

A line of best fit is a straight line that shows the appropriate correlation among scatter plots of a given data. It is majorly used when the plotted points are not linear, it can be used to express the relationship between dependent and independent variables.

The sum of the residuals should be close to zero because it shows that the line of best fit is accurately drawn. Thus, it implies that there is a linear relationship between the two variables. Since he residual is close to zero, the graph could be said to be a linear graph.

Answer:

-5+3....................

The industry Lerner index is approximately 0.8113. This indicates that the industry has a moderate level of market power in setting prices for its goods.

The industry Lerner index measures the degree of market power that a firm has in setting prices for its goods. It is calculated as the difference between the price a firm charges and the marginal cost of producing an additional unit of output, divided by the price. The formula for the Lerner index is:
Lerner Index = (P - MC) / P

To find the industry Lerner index, we need to know the markup factor used to price goods. In this case, the industry suggests using a markup factor of 5.3.
Let's assume the marginal cost (MC) of producing a good is $10. Using the markup factor, we can calculate the price (P) as:
P = MC * Markup factor
P = $10 * 5.3
P = $53
Substituting these values into the Lerner index formula, we have:
Lerner Index = ($53 - $10) / $53
Lerner Index = $43 / $53
Lerner Index ≈ 0.8113

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The stem plot for the given data is 3 4 5 6.

A stem and leaf plot, also known as a stem and leaf diagram, is a technique to arrange data such that it is simple to see how frequently certain sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.

Arranging the given data in ascending order,

30, 34, 34, 35, 35, 36, 39, 39, 40, 40, 41, 42, 42, 43, 43, 43, 44, 46, 46, 48, 49, 49, 50, 52, 53, 58, 59, 61, 66, 68

The stem plot = 3 4 5 6

Calculated Statistics:

Minimum:30

Maximum:68

Range:38

Count:30

Sum:1365

Mean:45.5

Median:43

Mode:43

Standard Deviation:9.616

Variance:92.47

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Answer:

\({ \tt{sum = \frac{a(r {}^{n - 1} )}{n - 1} }} \\ 27 = \frac{a(r {}^{2 - 1} )}{2 - 1} \\ { \bf{27 = ar - - - (i)}} \\ \\ 54 = \frac{a( {r}^{3 - 1} )}{3 - 1} \\ { \bf{108 = a {r}^{2} - - - (ii) }} \\ { \tt{(ii) \div (i) : }} \\ r = \frac{108}{27} \\ { \bf{common \: ratio = 4}} \\ { \bf{first \: term = \frac{27}{4} }}\)

Answer:

See explanation

Step-by-step explanation:

Given

\(n = 5\) --- number of questions

Required

The time spent on each question

The question has missing details, as the required plot to calculate the total time is not given.

However, the formula to use is as follows

\(Each = \frac{Total}{n}\)

Substitute 5 for n

\(Each = \frac{Total}{5}\)

Assume the calculated total time is 60 minutes; The equation becomes

\(Each = \frac{60}{5}\)

\(Each = 12\ mins\)

Answer:

9 minutes

Step-by-step explanation:

I got it wrong from the other guy so i put get help and that's the Awnser LOL

Required standard form for given circle is \((x-2)^{2}+(y+9)^{2}=4\)

Standard form of circle is expressed as\((x-h)^{2}+(y-k)^2=r^{2}\) ,where h,k are the coordinate of the center of circle and r is radius.

Center (h, k) = (2, -9)

radius = 2 units

Using standard form of equation,

\((x-h)^{2}+(y-k)^2=r^{2}\)

Putting the given values,we get

\((x-2)^{2}+(y-(-9))^{2}=2^{2}\)

⇒ \((x-2)^{2}+(y+9)^{2}=4\)

Hence, the standard form of equation of circle is \((x-2)^{2}+(y+9)^{2}=4\) .

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Answer:

15 feet

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

Notice how the common ratio is -1/3, which means the series passes part 1 of the convergence test because -1/3 is in between -1 and 1.

We can also represent this as a summation series of

\(Σ3( - \frac{1}{3} ) {}^{n - 1} \)

Since we can represent this a summation series, we can use that convergent value is equal to

\( \frac{a _{1} }{1 - r} \)

where a1 is initial term and r is common ratio.

R is -1/3

A1 is 3.

\( \frac{3}{1 - \frac{ - 1}{3} } = \frac{3}{ \frac{4}{3} } = 2.25\)

So the answer is 2.25

Domain: the set of all possible x values of the function.

Since there are no radicals and denominators, the domain of the function is all the real numbers.

Domain= all real numbers

Range = the set of all possible y values of the function

Range= (-2; ∞)

Graph of the function:

Step-by-step explanation:

6×(2.5)+1.5

15+1.5

16.5

or

f(x)= 6x+1.5

f(2.5)= 6(2.5)+15

f(2.5)=16.5

You're welcome please add me as ur friend and brainiest please

To determine the distance between the buildings, we can use trigonometry and the given information. Let's consider the triangle formed by Sari, building A, and building B. The side opposite the 40° angle is the distance between the buildings that we want to find.

Using the tangent function, we can set up the following equation: tan(40°) = opposite/adjacent. tan(40°) = distance between the buildings/20 meters. To find the distance between the buildings, we rearrange the equation: distance between the buildings = 20 meters * tan(40°). Using a calculator, we can evaluate the expression: distance between the buildings ≈ 20 meters * 0.8391 ≈ 16.782 meters. Therefore, the buildings are approximately 16.782 meters apart. To determine the distance between the buildings, we can use trigonometry and the given information. Let's consider the triangle formed by Sari, building A, and building B. The side opposite the 40° angle is the distance between the buildings that we want to find.

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Answer:

18

Step-by-step explanation:

a^2 + b^2 = c^2

in this case 24 is a and 30 is c

24^2 = 576

30^2 = 900

900 - 576 = 324

the square root of 324 is 18

Answer:

x = 6

Step-by-step explanation:

11 = 1/2x + 8

-> Move 8 to left side

11 - 8 = 1/2x

3 = 1/2x

->We can switch sides so 1/2x is on the left and 3 is on the right

1/2x = 3

x = 3 x 2/1

x = 6

Answer:

x=6

Step-by-step explanation:

11=1/2x+8

subtract 8 from both sides first.

11-8=1/2x

3=1/2x

Now, multiply by 2 or divide by 1/2 from both sides (your pick)

3*2=x

Therefore the answer is x=6

Answer:

  FALSE

Step-by-step explanation:

The transformation is a reflection across the line x=1.

In order from shortest to longest, the sides of the left triangle are in counterclockwise order. In the right triangle, they are in clockwise order. This indicates a reflection. A rotation does not change the (CW/CCW) orientation of the triangle.

It is False that the transformation is a rotation.

Answer:

5 english students in each team

Step-by-step explanation:

So there are multiple ways to do this, you could do trial and error or you could factor out common numbers between the two.

Through trial and error, the lowest possible number of groups that could be divided between the number of students whilst still being able to maintain a whole # was 16 groups

The other way to solve this is to factor out common numbers between the two:

Answer:

\(-9x-10y\)

Step-by-step explanation:

\(10yi^2-9x \\ \\ =10y(-1)-9x \\ \\ =-9x-10y\)

We can say that the two means are significantly different from one another.

The critical t-scores refer to the t-values that represent the boundaries of the rejection region in a t-test. In this case, the critical t-scores are +/- 1.995. These values are obtained from a t-table with the degrees of freedom (df) equal to the smaller of the two sample sizes minus 1.

The t statistic is the calculated value from the t-test, which measures the difference between the sample means in standard error units. In this case, the t statistic is 2.55.

Since the t statistic lies outside the critical region (i.e., it is greater than 1.995), we can reject the null hypothesis that there is no difference between the means of the two populations. We can conclude that the difference between the means is statistically significant at the chosen significance level.

Therefore, we can say that the two means are significantly different from one another.

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Answer:

1/ 75

Step-by-step explanation:

I think, because 1/ 125-1/ 5=75 and then the the 1 stays the same