he following results come from two independent random samples taken of two populations.
Sample 1 n1 = 60, x1 = 13.6, σ1 = 2.4
Sample 2 n2 = 25, x2 = 11.6,σ2 = 3
(a) What is the point estimate of the difference between the two population means? (Use x1 − x2.)
(b) Provide a 90% confidence interval for the difference between the two population means. (Use x1 − x2. Round your answers to two decimal places.)
(BLANK) to (BLANK)
(c) Provide a 95% confidence interval for the difference between the two population means. (Use x1 − x2. Round your answers to two decimal places.)

Answer:

D.None of the above are correcr

Step-by-step explanation:

if the population of peachwood increases by 5% every year then after 1 year 5 percent of 12,000 would be added to 12,000 and 5 percent of 12,000 is 600 so the answer would be 12,600

Option B is the correct Answer and $12600 people are in the city after 1 year.

Given the population of peachwood=12000

The rate that increases per year is given as 5%

We are given the function that g(f) = 12000 * 1.05x is considered as equation(1)

Here  x in f(x) defines the number of years that passed in the city of Peachwood

so x value is considered as 1

The f(x) is the total population of Peachwood these are two key elements in this function

Now substitute the x value in equation (1)

Therefore after 1 year, the equation would be

f(x)=12000*1.05x

f(1)=12000*1.05(1)

g(f)=$126000

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Answer:

B

Step-by-step explanation:

(x+5)^2

x^2+10x+25

(y+3)^2

y^2+6y+9

then it would be

x^2+10x+34+y^2+6y

subtract 34-36 since ur moving 36 to the left

where u get -2

so ur final equation would be x^2+y^2+10x+6y-2=0

Answer:

  It is the 3rd one

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

x-6-6/x+4

Answer:

C

Step-by-step explanation:

80 is less than 81, but more than 68.

Answer:

median is 2

Step-by-step explanation:

I arranged the numbers from low to greatest and found the "middle" number basically

Answer:

2

Step-by-step explanation:

In order to find the Median of a data set, you must first put the numbers in the data set in order so you'd get:1, 1, 1, 1, 2, 2, 4, 6, 6, 8, 48 Then you would count on each side to the middle and whichever digit is in the middle that is your median.

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Hope this helps

Step-by-step explanation:

=  (x+2)(x-2) / (x (x +2))   =   (x-2) / x   =   1 - 2/x

Answer:

f(x) = 4x² + 48x + 149

Step-by-step explanation:

f(x) = 4(x + 6)² + 5

The above expression can be written as: f(x) = ax² + bx + c, by doing the following:

1. Expand (x + 6)²

(x + 6)² = (x + 6)(x + 6)

(x + 6)(x + 6)

x(x + 6) + 6(x +6)

x² + 6x + 6x + 36

x² + 12x + 36

(x + 6)² = x² + 12x + 36

2. Substitute x² + 12x + 36 for (x + 6)² in

f(x) = 4(x + 6)² + 5

This is illustrated below:

f(x) = 4(x + 6)² + 5

(x + 6)² = x² + 12x + 36

f(x) = 4(x² + 12x + 36) + 5

Clear bracket

f(x) = 4x² + 48x + 144 + 5

f(x) = 4x² + 48x + 149

Therefore, the standard of the function:

f(x) = 4(x + 6)² + 5

is

f(x) = 4x² + 48x + 149

Answer:

C

Step-by-step explanation:

introducing the stem mining weevil and fly to the field because they have different food sources makes the most sense to me

Answer: the answer is c good day !!

Step-by-step explanation:

If they all start to mow their lawns at the same time then Beth's mower will finish first.

Let area of Beth's lawn = x

area of Carlos' lawn = y

Andy's lawn has twice as much area as Beth's lawn and three times as much as Carlos' lawn. So, we can write

area of Andy's lawn =2x = 3y                                    equation 1

Carlos' lawn mower cuts half as fast as Beth's mower and one third as fast as Andy's mower

Let, speed of Beth's mower = z

and speed of Andy's lawn mower = k

speed of Carlos' lawn mower = z/2 = 1/3k                   equation 2

area of Beth's lawn = x

area of Andy's lawn =2x

area of Carlos' lawn = 2x/3 = 0.66x                             (Using equation 1)

speed of Beth's mower = z

speed of Andy's lawn mower = 3z/2 = 1.5 z                (using equation 2)

speed of Carlos' lawn mower = z/2 = 0.5 z

Time = area / speed

Ratio , Beth : Andy : Carlos

\(\frac{x}{z} :\frac{2x}{3z/2} :\frac{2x/3}{z/2}\)

On simplification, we get

1 : (4/3) : (4/3)

1 : 1.33 : 1.33

From the ratio be can clearly see that Beth's mower will finish first.

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===========================================================

Explanation:

The sequence is not arithmetic because the distance between adjacent terms keeps increasing. For instance, the gap from 0.4 to 1.6 is 1.6-0.4 = 1.2, while the gap from 1.6 to 6.4 is 6.4-1.6 = 4.8. There is no common difference, so we can rule out choices A and B.

To check if we have a geometric sequence, divide each term by its previous term

(term2)/(term1) = (1.6)/(0.4) = 4

(term3)/(term2) = (6.4)/(1.6) = 4

(term4)/(term3) = (25.6)/(6.4) = 4

Each time we get 4 as a result, so this sequence is geometric and the common ratio is r = 4.

Put another way: each new term is found by multiplying the previous term by 4.

0.4*4 = 1.6

1.6*4 = 6.4

6.4*4 = 25.6

This all leads to D being the answer.

Side note: the nth term of this geometric sequence is \(a_n = 0.4*(4)^{n-1}\) where n is a positive integer and starts at n = 1.

For the positive integer of K, \(S_{k}\) contains the term 2004, the values would be 2.

Series \(S_{k}\) is 1,1+k,1+2k,... and so on

So nth term of the series \(S_{k}\) will be 1+(n−1)k

for some nth term would be 2004

So 1+(n−1)k=2004

= (n−1)k=2003

= n−1= \(\frac{2003}{k}\)

​Therefore, k should be factor of 2003 which is a positive integer

So the factors are 1,2003

Thus, there are only two factors for 2003

Hence, there are only 2 values or factors for k

Integers include zero, a positive natural number, and a negative integer denoted by a minus sign. The negative numbers are the inverse additions of the comparable positive numbers. An arithmetic progression or arithmetic sequence (AP) is a succession of numbers with a constant difference between the terms.

An ascending arithmetic progression is a growing sequence of numbers that have a common difference. A declining arithmetic progression is a sequence of numbers with the same common difference that gets less over time.

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The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

x=4

Step-by-step explanation:

She will need the amount 1 jar of meat (32 cals, 4g protein) and 2 jars of vegetables (32 cals, 2g protein) to get 4g of protein and 112 calories.

A mother is trying to decide which baby foods to serve her infant. She has a jar of meat with 4g of protein and 32 calories, and a jar of vegetables with 2g of protein and 16 calories. To get the desired amount of protein and calories, she will need to serve 1 jar of meat and 2 jars of vegetables. This will give her 4g of protein and 112 calories total. This combination of foods will provide the infant with the necessary nutrition for growth and development. It's important to make sure that infants are getting enough protein and calories during the first year of life, so this combination of food is a great way to ensure that the infant is getting the nutrients that they need.

1 jar of meat = 4g of protein and 32 calories

1 jar of vegetables = 2g of protein and 16 calories

Therefore, in order to get 4g of protein and 112 calories:

1 jar of meat = 4g of protein and 32 calories

2 jars of vegetables = 4g of protein and 32 calories

Total: 4g of protein and 112 calories

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99% confidence interval for the true population proportion of people with kids : {0.700 , 0.799}

Given,

n = 500

X = 375

Here,

p = X/n

p = 375/500

p = 3/4

p = 0.75

Confidence interval: 99%

= 1-0.99

= 0.01

Calculate,

α/2

= 0.01/2

= 0.005

\(So,\\\)

\(Z_{\alpha /2}\) = 2.576

99% confidence interval for population proportion,

= p ± \(Z_{\alpha /2}\) √p(1-p)/n

= 0.75 ± 2.576(√0.75(1-0.75))/500

= {0.700 , 0.799}

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Answer:

Attached to this answer are some of the ways you could rewrite \(4*10^{-3}\)

Answer:

he uses 23 balloons for every 28 events.

Answer:

V = 81π/4

To find the volume of the solid formed by rotating the region bounded by the graph of y = x^2, x = 3, and y = 0 around the x-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

V = ∫[a,b] 2πx * f(x) * dx

In this case, the region is bounded by x = 3, y = 0, and the curve y = x^2. We need to determine the limits of integration (a and b) based on the intersection points of these curves.

Since y = x^2 and y = 0, we can set x^2 = 0 and solve for x to find the intersection point:

x^2 = 0

x = 0

Therefore, the limits of integration are from x = 0 to x = 3.

Now we can set up the integral:

V = ∫[0,3] 2πx * (x^2) * dx

Integrating this expression will give us the volume of the solid. Evaluating the integral:

V = ∫[0,3] 2πx^3 dx

V = π * [(1/4)x^4] [0,3]

V = π * (1/4) * (3^4 - 0^4)

V = π * (1/4) * (81 - 0)

V = π * (1/4) * 81

V = 81π/4

Therefore, the volume of the solid formed by rotating the region bounded by the graph of y = x^2, x = 3, and y = 0 around the x-axis is 81π/4 cubic units.

The area of the round concrete patio is approximately 154 square feet (rounded to the nearest whole number).

To calculate the area of the round concrete patio, we need to use the formula for the area of a circle, which is:

Area = π * \((radius)^2\)

Given that the diameter of the patio is 14 feet, we can find the radius by dividing the diameter by 2:

Radius = Diameter / 2

= 14 feet / 2

= 7 feet

Now we can substitute the value of the radius into the area formula:

Area = 3.14 * (7 feet)^2

= 3.14 * 49 square feet

= 153.86 square feet (rounded to two decimal places)

Therefore, the area of the round concrete patio is approximately 154 square feet (rounded to the nearest whole number).

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The graph third represents the provided situation first line increases and then constant then again increases and becomes constant.

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

We have:

Keisha ran to swim practice but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes, and together they ran the rest of the way to practice, where they stayed for 1 hour.

Based on the information given we can say graph third represents the situation.

First Keisha ran to swim practice so the line first increases and then she  but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes which means the line should be constant.

Again they both ran so line increases.

Then they both stayed for 1 hour, so the line should be constant.

Thus, the graph third represents the provided situation first line increases and then constant then again increases and becomes constant.

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The decibel value of the noise is 50 db.

What is meaning of intensity of sound?

The quantity of energy going across a unit area in a unit time in a direction that is opposite to the direction of the sound waves.

The unit that used to calculate intensity of sound is decibel.

Given equation that represents the relation between intensity of sound and the ratio of the sound to the human hearing threshold is

db = 10 log i

Where i = the ratio of the sound to the human hearing threshold.

Putting i = 100,000 in the given equation:

db = 10 log 100,000

Replace 100,000 by 10⁵ :

db = 10 log 10⁵

Applying the formula of logarithm log 10^{a} = a:

db = 10 × 5

db = 50

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(a) A tangent line would be a line that touches the circle at only one point. (b) A secant line would be a line that intersects the circle at two points. The secant line in this case would be the line connecting points A and B. (c) A chord is a line segment that connects two points on the circle. There are multiple chords in this circle.

Based on the information provided, here's the answer:
(a) Give a tangent line.
A tangent line is a line that touches the circle at exactly one point. Since we don't have specific point names, I'll provide a general answer. A tangent line can be drawn from any point on the circle such that it is perpendicular to the radius drawn from the center to the point of tangency.
(b) Give a secant line.
A secant line is a line that intersects the circle at two points. Based on the information provided, the line that intersects the circle at points A and B is a secant line.
(c) Give a chord.
A chord is a line segment whose endpoints are on the circle. In this case, the line segment connecting points A and B is a chord.

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Answer: 300 percent

Step-by-step explanation:

Where: 15 is the old value and 60 is the new value. In this case we have a positive change (increase) of 300 percent because the new value is greater than the old value.

Answer:

400%

Step-by-step explanation:

60/15 = 4

4 * 100 = 400 %

The construction of similar triangles are given in attached figure.

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Similar shapes are shapes whose lengths are in an equivalent ratio. Triangle ABC and triangle DEF are similar because the side lengths of both triangles are in an equivalent ratio (refer to the attachment).

Step 1: Draw a random triangle ABC

The lengths of two sides and an angle are:

AB=10

BC=6

C=90

Step 2: Draw and measure the length of DE

DE=15

Step3: Calculate the ratio

The corresponding line segment to DE is line segment AB.

So, the ratio (k) is:

k= DE/AB

k= 15/10

k=1.5

Step 4: Multiply the ratio by the other line segment in step 1

In (1), we have:

BC=6

So,

EF=k*BC

EF=1.5*6

EF=9

Step 4: Draw a circle with center F and radius EF  

The center of the circle is point F and the radius of the circle is 9 units

Step 5: Draw a ray from the center (i.e. point F) to DE

Refer to the attached image for

Triangle ABC

Triangle DEF

Circle with center F and radius 9

Ray from F to DE

Therefore, construction of similar triangles are given in attached figure.

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The probability that the next person will pay with a debit card is:

P =  0.63

We want to find he probability that the next customer will pay with a debit card.

That probability can be estimated as the quotient between the number of customers that paid with debit card and the total number of customers.

We know that:

15 paid in cash.

50 paid with debit card.

15 paid with credit card.

For a total of 15 + 50 + 15 = 80

Then the probability is:

P = 50/80 = 0.63

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The mean attention span for adults in a certain village is μ = 15 minutes with a standard deviation of σ = 6.4. We are interested in finding the mean of all possible samples of size n = 30, taken from that population.

According to the central limit theorem, the distribution of sample means will be approximately normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size. That is:

\(mean of sample means = population mean = μ = 15 minutes\\standard deviation of sample means = population standard deviation / sqrt(n) = σ / sqrt(30) ≈ 1.17 minutes\)

Therefore, the mean of all possible samples of size 30, taken from the population with mean 15 minutes and standard deviation 6.4 minutes, is approximately equal to 15 minutes.

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Answer:

landline

hshdjdh

dbbdhdhdh

bdbdhdhdhe

Answer:

Router

Step-by-step explanation:

Hope this helps

Answer:

-12.9

Step-by-step explanation:

Answer:

3x = 5 will have one solution,

the solution is x = -5/3

Step-by-step explanation:

3x + 5 = 0

solving,

3x + 5 = 0,

3x = -5,

x = -5/3

Hence there is one solution