When people are discharged from a hospital, they are surveyed about the quality of their stay. The hospital asks each person to turn in the survey before leaving. Is this a simple random sample?

Yes, because each person has the opportunity to respond to the survey.

Yes, because each person is equally likely to get the survey.

No, because not everyone has the same opportunity to answer the survey.

No, because each person is asked to fill out the survey, so this is not a sample.

Answer:

what's the question though??

Answer:

5600

Step-by-step explanation:

70 x 80.

( i just assumed u wanted to know the cost of all the 80 tickets if each costed 70 dollars)

Therefore , the solution of the given problem of area comes out to be the force of 60 kN applies 5 kN/m2 of pressure to a 12 m² is 5 kN/m².

Calculating how much room is needed to fully cover the outside will reveal its overall size. When calculating a trapezoidal shape's surface, the immediate environs are taken into account. The surface area of something determines its overall measurements. The internal water capability of a cuboid is given by the total of the borders connected to each of its six rectangular edges.

Here,

The following method determines the pressure P that a force F exerts on an area A:

=> P = F/A

Inputting the numbers provided yields:

=> P = 60 kN / 12 m²

If we simplify, we get:

=> P = 5 kN/m²

As a result, the force of 60 kN applies 5 kN/m2 of pressure to a 12 m² is 5 kN/m².

To know more about area visit:

https://brainly.com/question/2835293

#SPJ1

The total number of bikes that can be painted in an hour would be 60 bikes.

With three identical machines,

the number of bikes machine can paint per hour = 20,

the number of machines bought again = 2,

so the total number of machines will be = 3,

when there are two same machines the productivity will be = 20 * 3 = 60 bikes.

This is because each machine works independently and can paint bikes simultaneously.

By adding two additional machines to the existing one,

the productivity of the painting process can be significantly increased. The new machines will not only increase the overall capacity but also reduce the turnaround time required for painting a large number of bikes.

By investing in additional machines,

the business can increase its output and generate more revenue,

which can be used to expand the operations further.

It's important to note that the investment in additional machines needs to be justified by the demand for painted bikes and the expected return on investment.

Learn more about investment here:

https://brainly.com/question/21007291

#SPJ4

Answer:

The area of the semi-circle

                                  A = 1320.37 cm²

Step-by-step explanation:

Explanation:-

Given the diameter of the circle 'd' = 58cm

The radius of the circle 'd' = 2r

                                       \(r = \frac{d}{2} = \frac{58}{2} = 29\)

The area of the semi-circle

                           \(A = \frac{1}{2} \pi r^{2}\)

                           \(A = \frac{1}{2} (3.14) ((29))^{2}\)

                          A = 1320.37 cm²

We are given a path c, and a vector field f. The path c is defined by r(t) = (t³, t², -2t) for 0 ≤ t ≤ 1. The vector field f = (-4sin x, 5cos y, 10xz). We are required to evaluate the line integral ∫cf ⋅ dr using the given information.To evaluate the line integral, we use the following formula:∫cf ⋅ dr = ∫abf(r(t)) ⋅ r'(t) dt.

Here, we can see that r(t) is already in vector form, so we don't need to convert it. We just need to find r'(t).Differentiating r(t) with respect to t, we get:r'(t) = (3t², 2t, -2)Substituting the given values of f and r'(t), we get:∫cf ⋅ dr = ∫₀¹ (-4sin t³, 5cos t², -20t³) ⋅ (3t², 2t, -2) dt= ∫₀¹ (-12t⁴ sin t³ + 10t cos t² - 20t⁴) dt= (-3t⁴ cos t³ + 5t³ sin t² - 5t⁵) from 0 to 1= -3 cos 1 + 5 sin 1 - 5The final answer is -3 cos 1 + 5 sin 1 - 5.

To know more about vector visit :-

https://brainly.com/question/24256726

#SPJ11

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.

This question is about ratios. Initially, 8 people have enough water for 9 days. When 4 more people join, the water supply will now last for 6 days.

This question involves a concept of Mathematics, specifically in the area of ratios or proportions. The initial premise is that 8 people on a trek have enough water to last them for 9 days. We can express this ratio as 8:9, which means for every 8 persons, the group can sustain its water supply for 9 days.

Now, we must calculate what would happen if 4 more people join the trek. Since now there are 12 people (8 original + 4 new), the new ratio becomes 12:9. However, the amount of water remains fixed. We can find the number of days the water will now last by dividing the quantity of water by the increased number of people, i.e., 9 days * (8 people/12 people) = 6 days.

So, when 4 more people join the group, the water supply will last the whole group for 6 days.

https://brainly.com/question/32531170

#SPJ2

A) The point estimate for the proportion of all homeowners in the city who would support a ban on nonnatural lawn fertilizers is 0.297.

B) The 95% confidence interval for the proportion of all homeowners in the city who would support a ban on nonnatural lawn fertilizers is (0.266, 0.328).

A) The point estimate is the best estimate for the proportion of all homeowners in the city who would support a ban on nonnatural lawn fertilizers to protect fish in the local waterways. We can find this by taking the proportion of homeowners in the sample who said they would support a ban:

point estimate = x/n = 22/74 = 0.297

Therefore, the point estimate for the proportion of all homeowners in the city who would support a ban on nonnatural lawn fertilizers is 0.297.

B) The margin of error is ±3.1%. To find the lower and upper limits of the confidence interval, we can use the following formula:

lower limit = point estimate - margin of error

upper limit = point estimate + margin of error

Substituting the values we know, we get:

lower limit = 0.297 - 0.031 = 0.266

upper limit = 0.297 + 0.031 = 0.328

Therefore, the 95% confidence interval for the proportion of all homeowners in the city who would support a ban on nonnatural lawn fertilizers is (0.266, 0.328).

learn more about "Proportion":- https://brainly.com/question/1496357

#SPJ11

\( \frac{3x + 9}{6} = x - 3 \\ \)

\(3x + 9 = 6(x - 3)\)

\(3x + 9 = 6x - 18\)

\(6x - 3x = 9 + 18\)

\(3x = 27\)

\(x = \frac{27}{3} \\ \)

answer: \(x = 9\)

The lengths of the opposite sides of a rectangle are equal

The length of \(\overline{PT}\) is 15.8 cm

The reason why the above length is correct is as follows

\(The \ area \ of \ a \ triangle = \dfrac{1}{2} \times Base \ length \times Height\)

\(The \ area \ of \ a \ triangle \ \Delta STU= \dfrac{1}{2} \times \overline {TU} \times \overline {SV}\)

The area of triangle ΔSTU = 210 cm² (given)

\(\overline{TU}\) = 30 cm (given)

Therefore;

\(The \ area \ of \ a \ triangle \ \Delta STU= 210 \ cm^2 = \dfrac{1}{2} \times 30 \ cm} \times \overline {SV} = 15 \ cm} \times \overline {SV}\)

\(\overline {SV} = \dfrac{210 \ cm^2}{15 \ cm} = 14 \ cm\)

Area of PQRST = Area of PWQR - Area of TWSZ

Area of PQRST + Area of TWSZ = Area of PWQR

Area of TWSZ = \(\overline{TV}\) × \(\overline{SV}\)

In rectangle TWSV, \(\overline{TV}\) = \(\overline{SW}\)

In rectangle PWQR, \(\overline{PQ}\) = \(\overline{WR}\)  = \(\overline{SW}\) + \(\overline{SR}\) = 50

\(\overline{SR}\) = 15 cm (given)

\(\overline{SW}\) = 50 cm - 15 cm = 35 cm = \(\overline{TV}\)

Area of TWSZ = 35 cm × 14 cm = 490 cm²

Area of PWQR = 1,000 cm² + 490 cm² = 1,490 cm²

Area of PWQR = \(\overline{PQ}\) × \(\overline{PW}\)

\(\overline{PW} = \dfrac{Area \ of \ PWQR}{\overline{PQ}} = \dfrac{1,490 \ cm^2}{50 \ cm} = 29.8 \ cm\)

\(\overline{PW}\) = \(\overline{PT}\) + \(\overline{TW}\)

\(\overline{TW}\) = \(\overline{SV}\)

∴ \(\overline{PW}\) = \(\overline{PT}\) + \(\overline{SV}\)

\(\overline{PT}\) =  \(\overline{PW}\) - \(\overline{SV}\)

\(\overline{PT}\) =  29.8 cm - 14 cm = 15.8 cm

\(\overline{PT}\) = 15.8 cm

Learn more about the rectangle and triangle properties here:

https://brainly.com/question/19013019

Answer:0=0

Step-by-step explanation:

The correct equation of the line joining (-2,4) and (-1,3) is y = -x + 6.

To find x in the given equations:

wx + 4y = 2x - 7

Let's rearrange the equation to isolate x:

wx - 2x = -7 - 4y

Factor out x:

x(w - 2) = -7 - 4y

Divide both sides by (w - 2):

x = (-7 - 4y) / (w - 2)

zx = h/x

Multiply both sides by x:

\(zx^2 = h\)

Divide both sides by z:

\(x^2 = h/z\)

Take the square root of both sides:

x = ±√(h/z)

Now, let's find the equation of the line joining (-2,4) and (-1,3):

We can use the point-slope form of a linear equation:

y - y₁ = m(x - x₁)

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

Using the points (-2,4) and (-1,3):

Slope (m) = (y₂ - y₁) / (x₂ - x₁)

= (3 - 4) / (-1 - (-2))

= -1 / 1

= -1

Choosing (-2,4) as our reference point:

y - 4 = -1(x - (-2))

y - 4 = -1(x + 2)

y - 4 = -x - 2

y = -x + 2 + 4

y = -x + 6

Therefore, the equation of the line joining (-2,4) and (-1,3) is y = -x + 6.

Learn more about linear algebra here:

https://brainly.com/question/2030026

#SPJ11

Answer:

3 + 2 = 5

Step-by-step explanation:

Remember Commutative Property by thinking about what happens when someone has to "commute" (driving back and forth to work or school) If the numbers in the addition MOVE then it is Commutative Property.

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

Answer:

C

Step-by-step explanation:

There are 3 pairs of corresponding sides with proportional lengths.

The ratios of the lengths of corresponding sides are equal AB/XY = BC/YZ = AC/XZ, then ΔABC and ΔXYZ  proven similar through SSS .

To prove two triangles similar using the SSS (Side-Side-Side) similarity criterion, all three pairs of corresponding sides of the two triangles must be proportional .

The SSS similarity criterion states that if the ratio of the lengths of corresponding sides in two triangles is equal, then the triangles are similar.

Given that we have a list of triangles,  to compare the ratios of their corresponding sides to see if any pairs satisfy the SSS similarity criterion.

The three pairs of corresponding sides in the triangles are denoted as follows:

Side A: Sides that are corresponding in length between the two triangles.

Side B: Sides that are corresponding in length between the two triangles.

Side C: Sides that are corresponding in length between the two triangles.

Since the specific list of triangles is not provided, I cannot give you the exact pairs that  proven similar through SSS similarity. However, I provide with an example:

Example:

Consider two triangles, ΔABC and ΔXYZ, where the corresponding sides are as follows:

ΔABC: AB, BC, and AC

ΔXYZ: XY, YZ, and XZ

To know more about lengths here

https://brainly.com/question/32060888

#SPJ2

An angle in standard position is an angle whose vertex is at the origin and whose initial side is along the positive x-axis. An angle of 180° is a straight angle, which means that it measures 180 degrees.

To sketch an angle of 180° in standard position, we start by drawing a ray along the positive x-axis. Then, we rotate the ray 180° counterclockwise. The terminal side of the angle will then lie along the negative x-axis.

As you can see, the angle starts at the origin and rotates 180° counterclockwise. The terminal side of the angle lies along the negative x-axis.

Note that an angle of 180° can also be written as -180°. This is because angles can be measured in positive or negative degrees, and a positive angle of 180° is the same as a negative angle of -180°.

To learn more about vertex click here : brainly.com/question/32432204

#SPJ11

Answer:

105 m

Step-by-step explanation:

Given that Jules has a mirror that has a shape of a triangle, the length of the border Jules would add = the perimeter of the triangular mirror.

The perimeter of the triangular mirror is simply the sum of all the 3 sides of the triangle.

Since, each side is of equal length (35 cm), therefore, perimeter of the mirror = 35 + 35 + 35 = 105 m

Perimeter of mirror = length of border to add = 105 m

The border is 105 m long.

Answer:

∠G = 50°

∠H = 110°

∠I =20°

Step-by-step explanation:

Step-by-step explanation:

could not find the formula ?

the volume of a cylinder is ground area × height.

and the ground area is a circle.

so, all in all we get

pi×r²×h

with r being the radius (half of the diameter), and h being the height.

in our case we get

pi×(140/2)²×10 = pi×70²×10 = 49000×pi =

= 153,938.04... cm³

Calculate probabilities, list in table.

To construct a probability distribution for drawing a card from a deck of 40 cards consisting of 10 cards numbered 2, 15 cards numbered 3, and 5 cards numbered 4, we need to first find the total number of cards in the deck, which is 30.

Next, we can calculate the probability of drawing each type of card by dividing the number of cards of that type by the total number of cards in the deck.

The probability of drawing a card numbered 2 is 10/30 or 1/3.

The probability of drawing a card numbered 3 is 15/30 or 1/2.

The probability of drawing a card numbered 4 is 5/30 or 1/6.

We can now construct the probability distribution by listing each outcome and its associated probability:

P(X=2) = 1/3

P(X=3) = 1/2

P(X=4) = 1/6

Note that the sum of all probabilities must equal 1.

Learn more about probability

brainly.com/question/30034780

#SPJ11

Thus, the expected number of calls in one hour is 15.

To find the expected number of calls in one hour, we need to convert the rate of one call every four minutes into calls per hour.

There are 60 minutes in an hour, so we divide 60 by 4 to find the number of four-minute intervals in one hour.

60 minutes / 4 minutes = 15 intervals

Therefore, the rate of one call every four minutes translates to 15 calls per hour.

To know more about convert visit;

https://brainly.com/question/33168599

#SPJ11

Answer:

2

Explanation:

Given the function:

The greatest power of f(x) = 3.

This means that the polynomial f(x) is a cubic polynomial.

The number of turning points in a cubic polynomial is 2.

A graphical illustration is attached below:

Thus, the number of turns in the graph of the function f(x) is 2.

This study is an example of an experiment, but not a double-blind experiment.

An experiment is a method for gathering data under controlled circumstances in order to discover and comprehend causal correlations between variables. Researchers have a wide range of options for designs. The final decision is based on the study topic, available resources, objectives, and restrictions. A method with an unlimited number of possible outcomes, known as the sample space, is referred to as an experiment or trial in probability theory (see below). If there are several possible outcomes from an experiment, it is considered to be random; if there is just one, it is said to be deterministic.

To know more about experiment,

https://brainly.com/question/11256472

#SPJ4

Answer: 15

Step-by-step explanation:

 4-7+9=8

  +7     +7

  4+9=15

    15=15

Answer:

Step-by-step explanation:

The given equation is log(mV) = -z. We need to convert it to exponential form. So, we have;log(mV) = -zRewriting the above logarithmic equation in exponential form, we get; mV = \(10^-z\)

Therefore, the exponential equation equivalent to the given logarithmic equation is mV = \(10^-z\). So, the answer is option D.Explanation:To convert the logarithmic equation into exponential form, we need to understand that the logarithmic expression is an exponent. Therefore, we will have to use the logarithmic property to convert the logarithmic equation into exponential form.The logarithmic property states that;loga b = c is equivalent to \(a^c\) = b, where a > 0, a ≠ 1, b > 0Example;log10 1000 = 3 is equivalent to \(10^3\)= 1000

For more information on logarithmic visit:

brainly.com/question/30226560

#SPJ11

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x-2*y-(27)=0

STEP1:

Equation of a Straight Line

1.1 Solve 3x-2y-27 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-2y-27 = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 27/-2 so this line "cuts" the y axis at y=-13.50000

y-intercept = 27/-2 = -13.50000

Calculate the X-Intercept :

When y = 0 the value of x is 9/1 Our line therefore "cuts" the x axis at x= 9.00000

x-intercept = 27/3 = 9

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.500 and for x=2.000, the value of y is -10.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.500 - (-13.500) = 3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 3.000/2.000 = 1.500

Geometric figure: Straight Line