The manager of a cafeteria that caters only to the workers at a hospital wants to conduct a survey to determine which drink served at the cafeteria is most popular during lunch. What is the population that the manager is studying?

A. Hospital workers who go out for lunch.
B. Hospital workers who bring lunch from home.
C. Hospital workers who eat in the cafeteria.
D. Hospital workers’ families.

Using the binomial distribution, it is found that there is a 0.3125 = 31.25% probability of getting 2 goals out of 5.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

The values of the parameters are given as follows:

n = 5, x = 2, p = 0.5.

Hence the probability is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125[/tex]

0.3125 = 31.25% probability of getting 2 goals out of 5.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

Answer:

1/7  

Step-by-step explanation:

Divide the top and bottom by 4 to get

1 / 7

Answer:

1/7

Step-by-step explanation:

4 and 28 are divisible by 4.

4/4 = 1

28/4 = 7

4/28 = 1/7

Answer: x=0 x=2i x=-2i

if your factoring: x(x^2+4)

Step-by-step explanation:

(if your solving for x)

[tex]x^{3} +4x\\x(x^{2} +4)\\\\x=0\\\\x=\frac{-b}{2a}\frac{+}{-} \frac{\sqrt{b^2-4ac}}{2a} \\\\x=\frac{0}{2}\frac{+}{-} \frac{\sqrt{0^2-16}}{2} \\x={0}}\frac{+}{-} \frac{\sqrt{-16}}{2} \\[/tex]

[tex]x={0}}\frac{+}{-} \frac{4i}{2} \\\\\\x=\frac{+}{-}2i[/tex]

Answer:

The red is the pre-image. The blue is after the 1st transformation. The green is after the 2nd transformation.

Step-by-step explanation:

This is because; you can see the tiny marks. 1 mark next to the letter represents 1 transformation while 2 marks next to letter symbolize the 2nd transformation! I hope this helped you :D

Answer:

[tex]6:14=3:7[/tex]

Step-by-step explanation:

There are 6 blue marbles and 14 red marbles, so the ratio of blue marbles to red marbles [tex]=6:14=3:7[/tex]

Answer:

Mateo can measure out the sugar 10 times using the 1/8 measuring cup because 10 times 1/8 equals 1 1/4

Step-by-step explanation:

Answer:

Standard deviation = 5.1

Mean = 13

Median = 14

Step-by-step explanation:

The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation

The mean of a set of numbers is the sum divided by the number of terms.

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Answer:

(f-g) (x) = 2x – 1 - log(x)

Step-by-step explanation:

f(x) = 2x – 1

g(x) = log x

We are given the two function and want to subtract g(x) from f(x)

(f-g) (x) = 2x – 1 - log(x)

The total number of persons that are ion Tracy's English class is given as 21.

We have the Venn diagram showing that there are 14 people in English

15 people in history

While there is a number of 7 students intersecting the two subjects.

Hence the people that attend both history and English are 7.

From here we would know that an English class would be made up of 14 + 7 persons

= 21 persons.

Read more on venn diagrams here:

https://brainly.com/question/2099071

#SPJ1

Using proportions, it is found that the farmer has planted 258 acres.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

He plants 413 acres during the entire year, hence, considering he plants an equal amount daily, and the year is 5/8 over, the amount he has planted is:

A = (5/8) x 413 = 258 acres.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

Brand A

Step-by-step explanation:

Comment

The question is  one of finding out what the unit cost is.

Brand A: $4.59 has a count of 40

Brand B: $3.99 has a count of 30

Brand A

unit = 4.59 / 40 = 0.115

Rounded: 0.12

Brand B

unit = 3.99 / 30 = 0.133

rounded: 0.13

Brand A even with proper rounding is the better buy

Answer:

  Brand A

Step-by-step explanation:

The cost comparison can be done a variety of ways. The most formal of solutions will calculate the cost per bag for the two brands.

The cost for 10 bags of Brand B is $3.99/3 = $1.33. The cost for 10 more bags (40 bags instead of 30) of Brand A is $4.59 -3.99 = $0.60. This is less than the $1.33 it would cost to buy 10 more bags of Brand B, so ...

  Brand A is the better buy

The cost per bag is found by dividing the cost by number of bags:

  Brand A: $4.59 / (40 bags) = $0.11475 per bag

  Brand B: $3.99 / (30 bags) = $0.133 per bag

13¢ per bag is more than 11¢ per bag, so Brand A is the better buy.

A number which is 17 less than 10,004:

     =9987

Hope it helps!

The value of ∠ABC is 64 degree at x = 19 degree ,therefore Yin is not right about the value of x .

A triangle is a polygon with three sides , angles and vertices.

It is given that

m∠ABC = (4x – 12)°

m∠ACB = (2x + 26)°

Let m∠ACB = y degree

It is asked that if x =19 degree , is the triangle equilateral

m∠ABC = (4x – 12)° = 4 *19 -12 = 64 degree

As in an equilateral triangle , the angles are all equal and equal to 60 degree.

If the value of ∠ABC is 64 degree at x = 19 degree ,therefore Yin is not right about the value of x .

To know more about Triangle

https://brainly.com/question/2773823

#SPJ1

Answer:No, Yin is not correct. If

x = 19, the measure of angle ABC = 4(19) – 12 = 64. Therefore, the two base angles measure 64°. An equilateral triangle is equiangular, so each angle would have to measure 60° because there are 180° in a triangle.

Step-by-step explanation: Because ;0

Answer:

4

Step-by-step explanation:

it takes four equations

Answer:

- 10.6 %   per hour

Step-by-step explanation:

By 'continuous rate'   I assume you mean linear  bacteria/hour

40 000 - 47 000 = - 30 000  bacteria  in 5 hours

- 30 000 bacteria / 5 hours =   - 6000 bacteria per hour

But then you ask for percentage....so maybe you want an exponential rate

then     40 000 = 70 000 ( 1 - x)^5      

            where x = decimal percentage , 5 = years

         solve for x = 10.588 %    DECREASE  per hour      

By applying the property of similar triangles, the distance Amana from point A to B walked is: B. 226 ft.

By critically observing the diagram (see attachment), we can deduce that two (2) similar triangles were formed by the First Ave. and Second Ave.

By applying the property of similar triangles, the distance Amana walked is given by:

(AB + 113)/113 = (280 + 140)/140

(AB + 113)/113 = 420/140

(AB + 113)/113 = 3

AB + 113 = 3 × 113

AB + 113 = 339

AB = 339 - 113

AB = 226 ft.

Read more on similar triangles here: https://brainly.com/question/1518795

#SPJ1

Answer: B. 226 ft.

Step-by-step explanation:  Trust Me! I got it correct on Edge.  

Answer:

7.5 hours

Step-by-step explanation:

16 mph = 16 miles per hour

how much time does he spend commuting to, and returning from, work each day = 60(2) = 120 miles

120/16

= 7.5 hrs

The 15 cm side is equivalent to the y centimeter side.

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

So from the given question the given figure can be inferred which is attached below

The "y" side of the parallelogram corresponds to the bigger side of the parallelogram, as seen in the figure, and the "x" side corresponds to the shorter side.

Since "y" relates to the longer side and the longer side is 15 cm, the 15 cm side is equivalent to the y centimeter side.

Learn more about parallelogram here :

https://brainly.com/question/19648711

#SPJ4

Step-by-step explanation:

So it's important to define what parallel is. If one line is parallel to another line, it will never intersect the other line. This means the two lines must be changing by the same amount simultaneously. In other words, they have the same slope. It's also important to remember that same slope doesn't mean they're parallel. You also have to look at the y-intercept. If they have the same y-intercept, and the same slope, then they're the same line. So two lines are only parallel, if the slopes are the same and they have different y-intercepts.

So now that you understand what's parallel let's look at some of the problems

1. So this is kind of tricky, because as I mentioned before, parallel lines have the same slope, but in this case a slope cannot be defined. For two vertical lines to be parallel, they just have to have different a different x-constant. Because x is what's constant, and if they're different, then the two lines will never intersect. This gives us the general formula for a vertical parallel line: [tex]x=a\text{ where a} \ne3[/tex] (this is specific to this problem, since the constant in the graph is x=3). Since the parallel line must pass through (-5, -4) this means that the constant for x, must be -5, because the x is constant, if it equals anything else, it will never equal -5. So the parallel line in this case will be: [tex]x=-5[/tex]

2. So the equation is already in slope-intercept form, so we don't have to solve for the slope. The slope in this case is 8, which can be determined by looking at the formula. This gives us the general formula for the parallel line: [tex]y=8x+b\text{ where b}\ne 4[/tex]. b cannot equal 4, because if it did, then we would have two lines that are the same, not parallel, otherwise b can be anything else. Since we have a point that the parallel line goes through, we can plug this in as (x, y) to solve for b: [tex]21=8(4)+b \implies21=32+b\implies -11=b[/tex]. So now this gives us the complete equation: [tex]y=8x-11[/tex]

3. The image is a bit low quality, although from what I can see the linear equation intersects the origin (0, 0) and (4, -1). This gives us the equation for the slope -1/4 (rise/run). which gives is the slope -1/4. So this gives us the general equation: [tex]y=-\frac{1}{4}x+b \text{ where b} \ne0[/tex]. b cannot equal 0, since it would then have the same y-intercept, meaning the two lines would be the same. In this case we also get some coordinates which we can plug into the equation to solve for b: [tex]-5=-\frac{1}{4}(12)+b\implies -5=-3+b\implies-2=b[/tex]. This gives us the complete formula: [tex]y=-\frac{1}{4}x-2[/tex]

4. This is similar to the vertical line, as there is a constant value, but in this case a slope can be defined, and that slope is 0; it's 0 for all horizontal lines. So we have the general equation: [tex]y=0x+b \text{ where b}\ne4[/tex]. This can be simplified to: [tex]y=b \text{ where b} \ne4[/tex]. Since the line passes through (13, -7), that means b must equal -7, because the y does not depend on x. It's a constant value. So you have the equation: [tex]y=-7[/tex]

5. [tex]y-6=\frac{3}{5}(x+5)[/tex]. So in this case we have the point-slope form. We don't need to convert it to the slope-intercept form, since all we need to form the parallel line is the slope, sort of. You technically do need the y-intercept, so you know what b cannot equal, so that you don't have the same line, but I'm assuming, the coordinates they're giving you, do not pass through the original line, but rather a parallel line. So we have the general equation: [tex]y=\frac{3}{5}x+b[/tex]. Plugging the given coordinates give you the equation: [tex]8=\frac{3}{5}(0)+b \implies8=b[/tex]. You didn't really need to do this, since if you noticed the coordinates have x=0, which means the y-value by definition is what b is equal to, since b is the y-intercept. So this gives you the equation: [tex]y=\frac{3}{5}x+8[/tex]

Answer:

6.6

Step-by-step explanation:

1 kilogram to pounds is 2.2 lbs

therefore, 3kg= 2.2× 3 lbs= 6.6 lbs

Answer:

approximately 6.6 lb

Step-by-step explanation:

1 kg equals approximately 2.2 lb.

Therefore (multiplying both sides by 3) we get

3 kg equals approximately 6.6 lb

Answer:

8 seconds

Step-by-step explanation:

When it hits the water h = 0

0 = -16t^2 + 116t + 96                   ( I corrected the equation in the question)

solve for 't' using quadratic formula   t = 8   s    ( and - .75 s <===throw out)

The graph is misleading because it doesn't begin at zero and the graph starts on Mon.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have a line graph shown in the picture that represents the stock price over a 5 - day period.

As we can see in the graph,

The graph starts on the Mon and price was $11.4(approximated)

Examples of "classic" deceptive graphs include those in which the vertical scale is off, skips digits, or doesn't begin at zero.

Thus, the graph is misleading because it doesn't begin at zero and the graph starts on Mon.

Learn more about the line graph here:

brainly.com/question/23680294

#SPJ1

Considering the volume of a rectangular prism, the limitations are given as follows:

Upper: 500, Lower: 0.

The volume of a rectangular prism of length l, width w and height h is given by:

V = lwh.

For the toy, the dimensions are of 1 inch, hence:

V = 1 x 1 x 1 = 1 inch³.

For the box, the dimensions are of 10 x 10 x 5 inches, hence:

V = 10 x 10 x 5 = 500 inches³.

500/1 = 500, hence the upper limit is of 500, while the lower limit is of 0.

More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528

#SPJ1

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Assuming equation:}[/tex]

[tex]\mathbf{2x + x = 3}[/tex]

[tex]\huge\textbf{Solving for the equation:}[/tex]

[tex]\mathbf{2x + x = 3}[/tex]

[tex]\mathbf{2x + 1x = 3}[/tex]

[tex]\huge\textbf{Combine the like terms:}[/tex]

[tex]\mathbf{(2x + 1x) = 3}[/tex]

[tex]\mathbf{(2x + x) = 3}[/tex]

[tex]\mathbf{2x + x = 3}[/tex]

[tex]\mathbf{3x = 3}[/tex]

[tex]\huge\textbf{Divide 3 to both sides:}[/tex]

[tex]\mathbf{\dfrac{3x}{3} = \dfrac{3}{3}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{x = \dfrac{3}{3}}[/tex]

[tex]\mathbf{x = 3\div3}[/tex]

[tex]\mathbf{x = 1}[/tex]

[tex]\huge\textbf{Answer:}[/tex]

[tex]\huge\boxed{\mathsf{x = 1}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The diagram of two similar triangles to complete the proportion is; Height of Person/Height of flower = Length of a person's shadow/Length of flowers' shadow.

From the concept of similar triangles, we know that If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor.

Applying this similar triangles theorem to our question, we can say that;

Height of a person/length of a person's shadow = Height of flower/length of a flower's shadow

We can rewrite this to get;

Height of Person/Height of flower = Length of a person's shadow/Length of flowers' shadow.

Read more about Similar Triangles at; https://brainly.com/question/14285697

#SPJ1

Answer:

48 minutes long

Step-by-step explanation:

For a total amount of minutes the lessons are, take 4x60. 4 for the total time in the lessons and 60 for 60 minutes in an hour. 4x60= 240 minutes.

Take 240/5. 240 is the total number of minutes and with the five lessons being the same amount of time, you divide the total number of minutes by the number of lessons. 240/5= 48 minutes

The second part of Rita's race is about 1800 meters at a speed of 150 meters per minute.

let

Distance in second Part:

d₃ = 15 x 300

= 4500 m

d₂ = 2/5 × d₃

= 2/5 x 4500

d₂ = 1800 meters

Speed in second part:

S₂ = 1800 m / 12 min

S₂ = 150 meters per minute

Learn more about distance:

https://brainly.com/question/4931057

#SPJ1

The slope of a straight line passing through the points (-4, 2) and (8, 5) is 1/4.

The slope of a straight line measures the rate of change of variable 'y' with respect to independent variable 'x'. Mathematically -

m = (y₂ - y₁)/(x₂ - x₁) = tan Ф

Given is a line that passes through the points (-4, 2) and (8, 5).

The slope of a straight line passing through two points is given by -

m = (y₂ - y₁)/(x₂ - x₁)

The coordinates given are (-4, 2) and (8, 5).

Substituting them in the formula, we get -

m = (y₂ - y₁)/(x₂ - x₁)

m = (5 - 2)/(8 + 4)

m = 3/12

m = 1/4

Therefore, the slope of a straight line passing through the points (-4, 2) and (8, 5) is 1/4.

To solve more questions on Straight lines, visit the link below-

https://brainly.com/question/28490034

#SPJ5

The number of people who must be surveyed if you want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults is 1691.

The true proportion of the population is not given, so we assume it to be 0.5, that is, p = 0.5.

Hence, q = 1 - p = 1 - 0.5 = 0.5.

Confidence level given = 90%.

Z-Score corresponding to 90% confidence interval (Z) = 1.645.

We are asked to find the sample size (n) when we want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults, that is, standard error (E) = 2% = 0.02.

By the formula of standard error, we know:

E = Z√[{p(1 - p)}/n].

Substituting the values, we get

0.02 = 1.645√[{0.5*0.5}/n]

or, 0.0004 = 2.706025*0.25/n

or, n = 2.706025*0.25/0.0004 = 1691.265625‬ ≈ 1691 {Since the sample size has to be a whole number}.

Thus, the number of people who must be surveyed if you want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults is 1691.

Learn more about size of the sample at

brainly.com/question/18403825

#SPJ4

The function f(x) is shown in the graph is (a) an exponential function

From the graph, we can see that:

Only exponential functions have the above features

Hence, the function f(x) is shown in the graph is (a) an exponential function

Read more about exponential function at:

https://brainly.com/question/2456547

#SPJ1