In a survey, 376 out of 1,078 US adults said they drink at least 4 cups of coffee a day. Find a point estimate (P) for the population proportion of US adults who drink at least 4 cups of coffee a day, then construct a 99% confidence interval for the proportion of adults who drink at least 4 cups of coffee a day.

Answer:

2 / 77

Step-by-step explanation:

Each number appears 3 times in the urn.

After picking any number, the number picked will appear only two more times in the urn, and the total slips of paper will be 77.

So for any first number we pick, the probability of the second number picked being the same number as the first pick is the number of times the same number appears in the urn (2) over the total number of slips in the urn (77):

Probability = 2 / 77

Answer:

B)

Step-by-step explanation:

Slope = -3

Y-intercept = 3

So

Equation is

y = mx+b

Where m is slope and b is y-intercept

y = -3x+3

Answer:

Step-by-step explanation:

(2 + 3)/(4 - 2)= 5/2

y + 3 = 5/2(x - 2)

y + 3 = 5/2x - 5

y = 5/2x - 8

2y = 5x - 16

5x - 2y = 16

Answer:

x is 4 and y is 3.

Step-by-step explanation:

The scale factor between the triangles is 2, as you can see. The hypotenuse of the small triangle is 5 while the hypotenuse of the larger one is 10, so the scale factor between the triangles is 2. This means you can divide the other leg lengths of the large triangle by 2 to find the lengths for the corresponding legs of the small one.

Answer: B. 4 hours

Step-by-step explanation:

Answer:

2.34-1.7*0.2=2

Step-by-step explanation:

Well to solve this, we need to use PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Multiplication comes first before subtraction. You can do long multiplication for this and multiply 1.7 and 0.2 together. Once done that, the product of those 2 numbers are 0.34.

Now 2.34-0.34=2.00

Our answer is 2.

Answer:

2

Step-by-step explanation

1.7 x 0.2 = 0.34

2.34-0.34=2

Answer:

11.5

Step-by-step explanation:

using Pythagoras theorem

the square of 13 equals the square of 6 and the unknown side

Answer:

11.5 feet

Step-by-step explanation:

I just took the quiz on edge

Answer:

Area = 2.33 mm²

Explanation:

Perimeter of quarter circle = 14.28

But

Perimeter of quarter circle = 2πr+2r

So

2πr+2r = 14.28

6.3r+2r = 14.28

8.3r = 14.28

r = 14.28/8.3

r = 1.7 mm

Now the Area

Area of quarter circle = 1/4(πr²)

= 1/4(3.14)(1.7)²

= 1/4(3.14)(2.97)

= 1/4(9.34)

= 2.33 mm²

Answer:

Step-by-step explanation:

A = P[1 + (r/n)]^(nt)

Look the formula up online to find out what each variable represents if needed.

We are solving for P, which is the principal amount 5 years back.

Substitute 11,000 for A (total amount), 4.5% for r(rate), 2 for n(number of times -- in this case, semiannually), and 5 for t(time -- 5 years).

11000 = P[1+(0.045/2)]^(2x5)

11000 = P (1.0225)^10

11000 = P (1.2492)   approx.

Divide both sides by 1.2492 to find P.

P = $8805.64  (approx)

I know that the answer I got is not an option listed. However, I feel that my workings may help other people to answer this question or give them inspiration to answer similar questions. Therefore, I will leave this answer up.

Thanks, and sorry I couldn't do much.

Answer:

c) 118°

Step-by-step explanation:

PN is the diameter of the given circle.

[tex] \purple {\bold {\therefore m(\widehat{PMN}) = 180°}}.... (1)\\[/tex]

Now, by inscribed angle theorem:

[tex] m\widehat {MN} = 2\times m\angle MPN\\

\therefore m\widehat {MN} = 2\times 31°\\

\red{\bold {\therefore m(\widehat {MN}) = 62°}}....(2) \\\\[/tex]

Now,

[tex] \because m(\widehat{MP}) + m(\widehat{MN}) =m(\widehat{PMN})\\

\therefore m(\widehat{MP}) + 62° =180°\\

\therefore m(\widehat{MP}) =180°-62°\\

\huge \orange {\boxed {\therefore m(\widehat{MP}) =118°}} \\[/tex]

Answer:

Incorrect

Step-by-step explanation:

It is incorrect because all even numbers have a factor of 1.

That is odd.

Answer:

False

Step-by-step explanation:

even numbers has odd  & even factors

6 is an even number

Factors of 6 = 2 , 3

Where 3 is a odd number

Answer:

A. True

B. True

C. False

D. True

Step-by-step explanation:

A) To find the probability of the letters spelling CAT go to the letter C, then A, and finally T. there is only one sequence that does this, so the numerator will be 1. There are 6 outcomes overall, so the denominator will be 6. The probability of the letters spelling CAT would be 1/6. The answer is true.

B) To find the probability of T being the first letter go to the letter T. All sequences after the letter T will all be included in the answer. TAC and TCA are both possible solutions, this means there are 2 correct outcomes, so 2 is the numerator. Again, there are 6 outcomes overall, so the denominator will be 6. The probability of T being the first letter is 2/6, which is equal to 1/3. The answer is true.

C) To find the probability of A being the first letter go to the letter A. All sequences after the letter A will all be included in the answer. ACT and ATC are both possible solutions, this mean there are 2 correct outcomes, so 2 is the numerator. Again, there are 6 outcomes overall, so the denominator will be 6. The probability of A being the first letter is 2/6. The answer is false.

D) To find how many total outcomes are possible go to the tree diagram and look to the far right. Go down each of the rows to find all of the outcomes, there is T,C,T,A,C, and A. That means there are six possible outcomes. The answer is true.

Answer:

[tex]\angle ADC=62^\circ[/tex]

Step-by-step explanation:

Given the circle centered on point B with points A, C and D on its circumference.

[tex]\angle ABC[/tex] is the angle subtended by arc AC at the centre.

Since D is on the circumference, [tex]\angle ADC[/tex] is the angle subtended by arc AC on the circumference.

Circle Theorem: The measure of the angle subtended by an arc at the center is twice the measure of the angle subtended by same arc at the circumference.

By the theorem stated above:

[tex]\angle ABC = 2 X \angle ADC\\Since \angle ABC=124^\circ\\124^\circ = 2 X \angle ADC\\ \angle ADC=124^\circ \div 2\\\\ \angle ADC=62^\circ[/tex]

Answer:

The real answer is 20 its not that high of a number

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

First things first, use PEMDAS.

Parenthesis is first.

(9+8) is in parenthesis. 9+8 is obviously 17.

The equation now looks like this:

6 x 14 - 17 x 2

There is no exponents, but there is multiplication. 6 x 14 is 84 and 17 x 2 is 34. They both are multiplication equations.

The equation now looks like this:

84 - 34

84-34 is 50. 50 is your answer.

Answer:

Take u1 = average number of mosquitoes attracted after drinking beer

u2 = average number of mosquitoes attracted after drinking water

a) The null and alternative hypotheses:

H0 : u1 = u2

H1 : u1 > u2

b) i) The average number of mosquitoes per volunteer before drinking (beer group) :

[tex] x'1 = \frac{x_1}{n} = \frac{434}{25} = 17.36 [/tex]

Sample mean for mosquitoes attracted before consumption for beer group is 17.36

The average number of mosquitoes per volunteer before drinking (water group) :

[tex] x'2 = \frac{x_2}{n} = \frac{337}{18} = 18.72 [/tex]

Sample mean for mosquitoes attracted before consumption for water group is 18.72

The two means are different.

The difference in the two means are as a result of random choice.

c) i) The average number of mosquitoes per volunteer after drinking (beer group) :

[tex] x'1 = \frac{x_1}{n} = \frac{590}{25} = 23.60 [/tex]

Sample mean for mosquitoes attracted after consumption for beer group is 23.60

ii) The average number of mosquitoes per volunteer after drinking (water group) :

[tex] x'2 = \frac{x_2}{n} = \frac{345}{18} = 19.17[/tex]

Sample mean for mosquitoes attracted after consumption for water group is 19.17

The two sample means are different.

This difference here is likely not to be as a result of random choice, because the mean difference here is greater than the mean difference before consumption.

d) A statistically significant difference provides evidence that beer consumption increases mosquito attraction, as the average number of mosquitoes attracted when drinking beer is higher than the mean number of mosquitoes attracted when drinking water.

Answer:

1/52

Step-by-step explanation:

Answer:

The Net Present Value =  $451180.733

Step-by-step explanation:

Given that:

the initial cost of the project is $1670000

the initial increase in working capital is $198000

The total investment will be ; initial cost of the project + initial increase in working capital

The total investment = $1670000 + $198000

The total investment = $1868000

So, This investment cost is amortised to zero over four years; This implies that the project will depreciate in four years;

Now; lets determine the rate of the annual depreciation

The annual depreciation = [tex]\dfrac{Initial \ cost \ of \ project }{life \ of \ project}[/tex]

The annual depreciation = [tex]\dfrac{1670000}{4}[/tex]

The annual depreciation = $417500

Over to the annual operating cash flow; the annual operating cash flow can be calculated as follows:

annual operating cash flow = (sales - cost) × (1 - tax rate )+ (annual depreciation × tax rate )

Given that the tax rate = 21% = 0.21

annual operating cash flow = (1850000 -1038000)×(1-0.21)+(417500× 0.21)

annual operating cash flow = 812000 × 0.79 + 87675

annual operating cash flow = 641480 +  87675

annual operating cash flow = $729155

So; let's calculate the after tax salvage value for the project

We know that the sales values for the project in four years is $435,000 (i.e the disposal rate of the asset after four years)

Thus; the book value is zero

The after tax salvage value for the project can now be determined by the relation:

after tax salvage value = sale value - tax (sale value - book value)

after tax salvage value =  435000  - 0.21 (435,000 -0)

after tax salvage value = 435000 - 91350

after tax salvage value = $343650

Similarly; given that the recovering rate of the project is $198000;

The cash flow in year 4 will be: annual operating cash flow + after tax salvage + recovery working capital

cash flow in year 4 = $(729155 + 343650 + 198000)

cash flow in year 4 = $ 1270805

This implies that the cash flow from year one to three is : 729155

the cash flow in year four is : 1270805

Given that the Required return rate = 16.4% = 0.164

We can therefore determine the Present cash inflows by using the relation:

[tex]Present \ Value = \dfrac{c_1}{(1+r)^1}+ \dfrac{c_2}{(1+r)^2}+ \dfrac{c_3}{(1+r)^3}+ \dfrac{c_4}{(1+r)^4}[/tex]

[tex]Present \ Value = \dfrac{729155}{(1+0.164)^1}+ \dfrac{729155}{(1+0.164)^2}+ \dfrac{729155}{(1+0.164)^3}+ \dfrac{1270805}{(1+0.164)^4}[/tex]

[tex]Present \ Value = \dfrac{729155}{1.164^1}+ \dfrac{729155}{1.164^2}+ \dfrac{729155}{1.164^3}+ \dfrac{1270805}{1.164^4}[/tex]

Present Value = $(626421.8213 + 538163.0767 + 462339.413+692256.4225)

Present Value = $2319180.733

Finally, The net present value = Present Value - Total Investment

Net Present Value = $(2319180.733 - 1868000)

Net Present Value =  $451180.733

Therefore; The Net Present Value =  $451180.733

Answer:

21/100

Step-by-step explanation:

By looking at the table, we can find the box that has information on people who have dogs but do not walk. The number is 21. The total number of people is 100. To find probability, divide 21 by 100.

21/100

This fraction is in its simplest form and cannot be simplified any further.

Answer:

Two rhombuses are not necessarily similar , No

Two circles are always similar , Yes

Two isosceles are similar , Yes

Two regular hexagons will be similar , Yes

The similar figures are Circle, Isosceles triangle and regular hexagons.

Geometric shapes are the figures which demonstrate the shape of the objects we see in our everyday life. In geometry, shapes are the forms of objects which have boundary lines, angles and surfaces. There are different types of 2d shapes and 3d shapes.

Therefore the similar figures are Circle, Isosceles triangle and regular hexagons.

To Learn more about, Geometric shapes, refer:

https://brainly.com/question/16176111

#SPJ2

Answer:

2.12

Step-by-step explanation:

He spent 4*0.53 on pie molds.

4*0.53=2.12

Answer:

[tex]t \approx 36.1\,min[/tex]

Step-by-step explanation:

The time constant for the isotope decay is:

[tex]\tau = \frac{8\min}{\ln 2}[/tex]

[tex]\tau \approx 11.542\,min[/tex]

Now, the decay of the isotope is modelled after the following expression:

[tex]m (t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex]

The time is now cleared with some algebraic handling:

[tex]\frac{m(t)}{m_{o}} = e^{-\frac{t}{\tau} }[/tex]

[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]

Finally, the time need for the element X to decay to 43 grams is:

[tex]t = - (11.542\,min)\cdot \ln\left(\frac{43\,g}{980\,g} \right)[/tex]

[tex]t \approx 36.1\,min[/tex]

Answer:

a) 0.164 = 16.4% probability that a disk has exactly one missing pulse

b) 0.017 = 1.7% probability that a disk has at least two missing pulses

c) 0.671 = 67.1% probability that neither contains a missing pulse

Step-by-step explanation:

To solve this question, we need to understand the Poisson distribution and the binomial distribution(for item c).

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!} [/tex]

In which

x is the number of sucesses

[tex] e = 2.71828[/tex] is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Poisson mean:

[tex]\mu = 0.2[/tex]

a. What is the probability that a disk has exactly one missing pulse?

One disk, so Poisson.

This is P(X = 1).

[tex]P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164 [/tex]

0.164 = 16.4% probability that a disk has exactly one missing pulse

b. What is the probability that a disk has at least two missing pulses?

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!} [/tex]

[tex]P(X = 0) = \frac{e^{-0.2}*0.2^{0}}{(0)!} = 0.819[/tex]

[tex]P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164 [/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.819 + 0.164 = 0.983[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.983 = 0.017[/tex]

0.017 = 1.7% probability that a disk has at least two missing pulses

c. If two disks are independently selected, what is the probability that neither contains a missing pulse?

Two disks, so binomial with n = 2.

A disk has a 0.819 probability of containing no missing pulse, and a 1 - 0.819 = 0.181 probability of containing a missing pulse, so [tex]p = 0.181[/tex]

We want to find P(X = 0).

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

[tex]P(X = 0) = C_{2,0}.(0.181)^{0}.(0.819)^{2} = 0.671[/tex]

0.671 = 67.1% probability that neither contains a missing pulse

Answer:

1250 milliliters

Step-by-step explanation:

Omar has 5 liters of water. He divides evenly between 4 buckets.

5/4 = 1.25

He pours 1.25 liters in each bucket.

Convert 1.25 liters into milliters.

1.25 × 1000

1250 milliliters.

Omar pours 1250 milliliters in each bucket.

Answer:

Answer:16/16c-4/8d

Step-by-step explanation:

Answer:

The amount he will have at the end of five years is $11,616.8

Interest on the amount is $1,616.8

Step-by-step explanation:

Kindly check the attached picture for explanation.

complete question:

The picture below is the complete question.

Answer:

base of the triangles = 3 cm

Step-by-step explanation:

The trapezoid was broken into 2 congruent triangles and a rectangle. The 2 triangle have a height of 12 cm . The rectangle has a height of 12 cm and width of 14 cm .

The base length of the triangle can be computed as follows.

Note a congruent triangle have exactly the same three sides and exactly the same three angles.

area of a triangle = 1/2 × base × height

From the area of the trapezoid one can calculate the sides of the triangle.

area of the trapezoid = 1/2 × (a + b)h

where

a = top side

b = base side

h = height

area of the trapezoid = 1/2 × (a + b)h

area of the trapezoid = 1/2 × (14 + 20)12

area of the trapezoid = 1/2 × 34 × 12

area of the trapezoid = 34 × 6

area of the trapezoid = 204 cm²

204 = area of the triangles + area of the rectangle

204 =2 (1/2bh) + lw

where

b = base of triangle

h = height of triangle

l = length of rectangle

w = width of rectangle

204 = bh + (14 × 12)

204 = 12b + 168

12b = 204 - 168

12b = 36

divide both sides by 12

b = 36/12

b = 3 cm

base of the triangles = 3 cm

Answer:

3

Step-by-step explanation:

I got 4cm wrong in the unit test and it showed me that the answer was 3cm

Answer:

x=36 degrees

Step-by-step explanation:

Remember that all angles of a triangle must add up to 180 degrees due to the Angle Addition Postulate. So let's plug it in! x+65+79=180

Now you solve, x=180-79-65

x=36!

x=36 degrees

Answer:

Option B

Step-by-step explanation:

All interior angles of a triangle add up to 180°.

[tex]79+65+x=180\\144+x=180 \\144-144+x=180-144\\\boxed {x=36}[/tex]

The missing angle is 36°.

Option B should be your correct answer.

Answer:

Step-by-step explanation: true

Answer:

8 ( 6 m 5^ + n 2^ )

Answer:

8( 6m^5 + n^2)

Step-by-step explanation:

48m^5+8n^2

Factor out 8

8* 6m^5 + 8 * n^2

8( 6m^5 + n^2)