two different floor plans are being offered in a new housing development. several prospective buyers from three different age groups were surveyed about which plan they preferred. find the probability that a randomly selected by her preferred plan a or was in the 40-to 49-year-old age group. (The answer is not 0.912)

Two Different Floor Plans Are Being Offered In A New Housing Development. Several Prospective Buyers

Answers

Answer 1
Answer: Approximately 0.677

Explanation:

Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.

Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.

We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.

An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.

Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.

The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677


Related Questions

Are these ratios equivalent?3 feet every 4 seconds,15 feet every 20 seconds.

Answers

Answer:

Hey there!

These ratios are equivalent.

The given ratio is 3:4

If we multiply both sides by 5, we will get 15:20.

Thus, the ratios are equivalent.

Let me know if this helps :)

Answer:

What does the tense of the underlined verb reveal about the subject?

The event took place in the past continuously but concluded prior to another past event.

The event took place in the past continuously.

The event concluded prior to another past event.

The event has been completed.

Step-by-step explanation:

HURRYYYYY FOR 25 POINTSSS Once simplified, which of the expressions below is equal to 2x+8? Select all that apply. A) 4(2x+8) B) 2(x+4) C) 3(3x+5)−7x–7 D) 6x–4–4x+4

Answers

Answer:

B) 2(x+4)

C) 3(3x+5)−7x–7

Step-by-step explanation:

B) 2(x+4) = 2x + 8

C) 3(3x+5)-7x-7

= 9x +15 - 7x - 7

= 9x - 7x + 15 - 7

= 2x + 8

Answer:

B and C

Step-by-step explanation:

1. B is one of the answers because when you distribute the 2, the expression simplifies to 2x+8.

2. (C) When you distribute the 3 through the parenthesis, the expression simplifies to 9x+15-7x-7. Next, subtract the like terms. 9x-7x=2x and 17-7=10. Now this simplifies the expression to 2x+8.

 

I NEED HELP CAN SOMEONE PLEASE ANSWER THIS ASAP PLEASE!!!​

Answers

Answer:

y = 5x - 3

Step-by-step explanation:

ok so perpendicular just means the opposite reciprocal of the slope of the normal equation. It just means that they form a 90 degree angel when they intersect.

If it takes 13 cup of flour to make 14 of a cake, how many cups of flour are needed to make a whole cake? i need help plz

Answers

Answer:

1-1/3 if its 14

1/52 if its 1/4

Step-by-step explanation:

PLSSS HELP!!! I really need help with this i have tried everything! Please provide instructions so I could learn how to do it! You are interested in finding a 98% confidence interval for the average number of days of class that college students miss each year. The data below show the number of missed days for 11 randomly selected college students. Round answers to 3 decimal places where possible. 9, 1, 2, 2, 9, 10, 1, 3, 7, 4, 2 a. To compute the confidence interval use a ? distribution. b. With 98% confidence the population mean number of days of class that college students miss is between ? and ? days. c. If many groups of 11 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About ? percent of these confidence intervals will contain the true population mean number of missed class days and about ? percent will not contain the true population mean number of missed class days.

Answers

Step-by-step explanation:

a. When the sample size is below 30 or the population standard deviation is not known, use a t distribution rather than a normal distribution.

b. The confidence interval is:

CI = x ± CV × SE

where x is the sample mean,

CV is the critical value (in this case, t).

and SE is the standard error (the sample standard deviation).

For the data given, the mean is x = 4.545, and the standard deviation is SE = 3.503.

There are 11−1 = 10 degrees of freedom, and the confidence level is 98%.  For a t-table, the critical value is CV = 2.764.

So the confidence interval is:

CI = 4.545 ± 2.764 × 3.503

CI = (-5.1, 14.2)

c.  The confidence level is 98%, so 98% of these confidence intervals will contain the true population mean, and 2% will not.

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Which situations can represent the expression n+2? Check all that apply
Ramya's grade increased by two points
the difference between Escher's highest score and two
the number of chapters Wally read plus two more
two fewer than the maximum number of absences Ellie is allowed
two added to Allison's age.
the sum of Mikel's height and two

Answers

Answer:A,C,E,i think F

Step-by-step explanation:

which side of the quadrilateral abcd
has a length equal to 10?​

Answers

Answer:

AD

Step-by-step explanation:

You must measure the difference between A and D. To get to this answer you should try all available combinations.

Triangle M' is the image of triangle M under a dilation.

What is the center of the dilation?
A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

trust me

The center of dilation of the figure M' is B thus option (B) is correct.

What is the transformation of a graph?

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the give M and M'.

If we draw a line of the same corner points of M' and M then it goes from point B.

So it is clear that M is dilated with respect to point B.

Hence "The center of dilation of the figure M' is B".

To learn more about the transformation of graphs,

brainly.com/question/3099136

#SPJ5

20 poinst plzzzzzz help me

Answers

Answer:

Step-by-step explanation:

Jason saw a shoes tat cost 41 dollars, he already ave 19 dollars in his saving account, his neighbor asked him to walk the dog for 4 dollars an hour, how many hours Jason need to walk the dog so e will be able to buy the shoes?

4x+19≥41

second one: A sign on abridge says that max. weight is 41 ton, a truck weighs 19 ton without any loads, the driver needs to pass by the bridge loading 3 boxes, how much the boxes should weigh so he will be able to pass the bridge.

3x+19≤ 41

third riddle: A cellphone company charges 19 dollars , and charge 0.05 cents for every text message. what limit of text message jason needs to keep his bill under 41 dollars.

19+0.05≤41

Help please, Topic: Arrangments

Answers

Answer: B: 120

Step-by-step explanation:

You multiply these choices together to get your result: 5 x 4 x 3 x 2 (x 1) = 120.

Since there are 5 choices to choose from.

Hi can someone plz help me with this question

Answers

Answer: n/4-1

Step-by-step explanation:

n/4 means how much each friend would have eaten if the pizza was equally divided and - 1 references to the one slice less he ate.

Write a direct variation equation that relates x-miles and y- kilometers.

Answers

Answer:

Step-by-step explanation:

is this the whole question or is there answers i will edit this once i know

Is this the whole question?

For which value of b can the expression x^2+bx+18 be factored?

Answers

Answer:

b=9

Step-by-step explanation:

Which inequality is shown in this graph?

Answers

Answer:

B.

Step-by-step explanation:

y- int. = - 2

Slope is negative because the line is going down. So, it is  B. or C.

The shaded area is under the line, so it is ≤. The answer is B.

The answer is letter B.

Explain the translation shown in the picture below

Answers

Answer: 2/-2 x is always on the top y is always on the bottom on the x axis it moves 2 spaces in the positive direction in the t axis it moves 2 spaces down in the negative direction

work out the length of AB. give your answer to 3 significant figures.

Answers

Answer:

Distance formula = √(x₂ - x₁)² + (y₂ - y₁)²

(x₁, y₁) = (1, 7) and (x₂, y₂) = (10, 3)

AB = √(10 - 1)² + (7 - 3)²

= √9² + 4²

= √81 + 16

= √97

= 9.85

Equation 3 should represent a parabola that is a vertical stretch of the parent function and has a y-intercept greater than 3 and opens down. Equation 3:___________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation:

Answers

Answer:

The answer is given below

Step-by-step explanation:

The equation of a quadratic function is given by:

Ax² + Bx + C where A, B and C are the coefficients of the quadratic equation. If the coefficient of x² (i.e A) is a negative value then the graph opens down, the value of C determines the y intercept.

The equation of a parabola with  y-intercept greater than 3 and opens down can be given as -2x² -6x + 4. Since the coefficient of x² is negative it opens down and C = 4, it has a y intercept of 4 > 3

Let us assume a vertical stretch of 2, the new equation becomes:

2(-2x² -6x + 4)

-4x² - 12x + 8

To solve:

-4x² - 12x + 8 = 0

A = -4, B = -12 and C = 8

Using the quadratic formula:

[tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}\\ x=\frac{-(-12) \pm \sqrt{(-12)^2-4(-4)(8)} }{2(-4)}=\frac{12 \pm 16.49}{-8} \\x= -3.6 \ or \ x=0.6[/tex]

hellpmeh i kinda get it

Answers

Answer:

1/2 or 50%

Step-by-step explanation:

5 are lower than 60

and 5 are =/> 60

Answer:

1/2

Step-by-step explanation:

54,56,60,65,30,55,55,65,66 and 65

then place them in order from least to greatest

30,54,55,55,56,60,65,65,65 and 66

and to average they seem to grow equally over and under sixty inches.

What is the difference between profit and revenue?

Revenue is the total amount producers receive after selling a good. Profit is the total amount producers earn after subtracting the production costs.
Revenue is the total amount producers earn after subtracting the production costs. Profit is the total amount producers receive after selling a good.
Revenue is the total amount producers pay to manufacture a good. Profit is the total amount producers earn after subtracting the production costs.
Revenue is the total amount producers pay to manufacture a good. Profit is the total amount producers receive after selling a good.

Answers

Answer:

Revenue is the total amount producers receive after selling a good. Profit is the total amount producers earn after subtracting the production costs.

Step-by-step explanation:

Profit, or net gain, is the amount of money made after subtracting production costs.

Revenue is the total amount of money earned, or gross weight, before anything is subtracted for production costs.

Answer:

The revenue is the total amount producers receive after selling a good. Profit is the total amount producers earn after subtracting the production cost.

Step-by-step explanation:

To answer the question, let us picture that you have a business, and you sell bread.

If you sell bread for $5 per loaf, and you sell 2 loaves, your revenue will be 2 * 5 = $10.

Let's say that in order to bake the bread, you have to rent your neighbor's oven for $0.25 per hour, the flour costs $1 per loaf, and the yeast costs $1 (these are all made-up numbers). If each loaf takes one hour to bake, two loaves will cost 0.5 + 2 + 2 = $4.50 to make. Your profit will then be your revenue minus your cost, or 10 - 4.5 = $5.50.

From this scenario, we can see that the revenue is the total amount producers receive after selling a good. Profit is the total amount producers earn after subtracting the production cost.

Hope this helps!

Find the equation of the line: With an x intercept of 4 and a y intercept of 1. PLEASE HELP I ONLY HAVE 15 MINUTES LEFT

Answers

Answer:

y = -1/4x + 1

Step-by-step explanation:

that is (0,1) and (4,0)

gradient

can be -1/4

c can be y = mx + c

we'll take anyone of the equation

1 = 0 + c

c = 1

Which expression is equivalent to (One-sixteenth) Superscript negative 4? (–16)4 164 RootIndex 4 StartRoot one-sixteenth EndRoot Negative (one-sixteenth) Superscript negative 4

Answers

Answer:

The simplified form of the expression is (16)⁴ or 65536

Step-by-step explanation:

The given expression to us is:

(1/16)⁻⁴

As the options given in this question are not clear enough, I'll just simpify the expression which you can compare with the given options in the question and find the best option as an answer.

We know that a negative power of number can be converted into a positive one by taking the reciprocal of that number.

It can be written as:

(16)⁴

which can be further simplified to:

65536

Answer: the answer is B

Step-by-step explanation:

16^4

what is the volume of a right triangle with the dimesions 24 20 12

Answers

Answer:

Assuming you mean area the answer is 120

Step-by-step explanation:

a right triangle has too shorter sides who are perpendicular and one longer side that you can't use. the longer side is 24 since 24>20>12

so 24 is the hypontenuse (longer side)

the two perpendicular sides are 20 and 12

the area for a triangle is b*h*1/2

the base (20) times the height (12) is 240. 240 times 1/2 is 120.

Volume is half the base times height multiplied by the lateral height.
Meaning
V=(1/2(24)(20))*(12)
The base is 240.
You multiply the base times the material height which is 12
Therefore, the answer is 2880

PLEASE MARK BRAINLIEST

SOMEONE PLEASE HELP ME ASAP PLEASE!!​

Answers

Answer:

hope its helpful to uh..

In the diagram of circle A, what is m?

Answers

Answer:

upload ur diagram so we can solve it for u

List below are the speeds (mi/h) measured from southbound traffic on I-280 near Cupertino, CA. Use the sample data to construct a 99% confidence interval estimate of the population standard deviation: speeds 62, 58, 58, 56, 60, 53, 58

Answers

Answer:

The 99% confidence interval of the population standard deviation is 1.7047 < σ < 7.485

Step-by-step explanation:

Confidence interval of standard deviation is given as follows;

[tex]\sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{1-\alpha /2}^{}}}< \sigma < \sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{\alpha /2}^{}}}[/tex]

s = [tex]\sqrt{\dfrac{\Sigma (x - \bar x)^2}{n - 1} }[/tex]

Where:

[tex]\bar x[/tex] = Sample mean

s = Sample standard deviation

n = Sample size = 7

χ = Chi squared value at the given confidence level

[tex]\bar x[/tex] = ∑x/n = (62 + 58 + 58 + 56 + 60 +53 + 58)/7 = 57.857

The sample standard deviation s = [tex]\sqrt{\dfrac{\Sigma (x - \bar x)^2}{n - 1} }[/tex] = 2.854

The test statistic, derived through computation, = ±3.707

Which gives;

[tex]C. I. = 57.857 \pm 3.707 \times \dfrac{2.854}{\sqrt{7} }[/tex]

[tex]\sqrt{\dfrac{\left (7-1 \right )2.854^{2}}{16.812}^{}}}< \sigma < \sqrt{\dfrac{\left (7-1 \right )2.854^{2}}{0.872}}[/tex]

1.7047 < σ < 7.485

The 99% confidence interval of the population standard deviation = 1.7047 < σ < 7.485.

Please Help Soon! A 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over and no wood lost due to the cuts. What is the positive difference, in feet, between the greatest possible perimeter of a single piece and the least possible perimeter of a single piece?

Answers

Answer: 6 feet

Step-by-step explanation:

Given that a 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over and no wood lost due to the cuts

Let assume that the 4 rectangles will be of the same area since they are congruent.

The area of the big rectangle will be

Area = 4 × 8 = 32

Divide 32 by 4

32/4 = 8

Suggest the two possible numbers in which their product will be equal to 8

4 and 2 or 8 and 1

If 4 and 2

The perimeter = 2L + 2B

Substitute the 4 and 2 into the formula

Perimeter = 2(4) + 2(2)

Perimeter = 8 + 4

Perimeter = 12

If 8 and 1

Perimeter = 2(8) + 2(1)

Perimeter = 16 + 2 = 18

The positive difference, in feet, between the greatest possible perimeter of a single piece and the least possible perimeter of a single piece will be:

18 - 12 = 6 feet

Which statement is true about the given function?
fx) > 0 over the interval (-0,3).
f(x) > 0 over the interval (-:-).
f(x) <0 over the interval (-0,3).
f(x) <0 over the interval (- : -).

Answers

Answer:

Option C.

Step-by-step explanation:

If the graph of a function f(x) lies above the x-axis, then f(x) > 0.

If the graph of a function f(x) lies below the x-axis, then f(x) < 0.

From the given graph it is clear that the graph of f(x) intersect the x-axis at x=3.

Before x=3 the graph lies below the x-axis. So,

[tex]f(x) < 0[/tex] over the interval [tex](-\infty,3)[/tex].

After x=3 the graph lies above the x-axis. So,

[tex]f(x) > 0[/tex] over the interval [tex](3,\infty)[/tex].

Therefore, the correct option is C.

For f(x) = 2x +1 and g(x) = x^2-7, find (f/g) (x)

Answers

Answer:

 (2x  +  1)/(x^2 - 7),    x  ≠ ±√7

Step-by-step explanation:

I'm not sure if this is what your looking for.

Determine the measure of ∠A. ANSWWER: 1) 192° 2) 88° 3) 84° 4) 168°

Answers

Answer:

3) 84°

Step-by-step explanation:

The angle formed by a chord and a tangent measures half of the intercepted arc.

m<A = (1/2)m(arc) = (1/2) * (168 deg) = 84 deg

Answer:

84 degrees

Step-by-step explanation:

Answer all please number 2

Answers

Answer:

(a) 26.43%

(b) 189 seconds

Step-by-step explanation:

(a) Data

mean: 3 minutes and 48 seconds = 3*60 + 48 = 228 s standard deviation, sd: 19 svalue of interest, x: 4 minutes = 4*60 = 240 s

Z-score is calculated as follows:

z = (x - mean)/sd

z = (240 - 228)/19

z = 0.63

We want to find the next probability P(Z>0.63), which is equivalent to 1 - P(Z≤0.63)

From table, 1 - P(Z≤0.63) = 1 - 0.7357 = 0.2643 or 0.2643*100 = 26.43%

(b) We want to find z1 at which P(Z≤z1) = 0.2. From the second table, z1 is between -2.05 and -2.06.

z = (x - mean)/sd

-2.055 = (x - 228)/19

(-2.055)*19 + 228 = x

x = 189 s

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