1) 4) Totsakan ran 1/4 mile in 1/8 of an hour. What was his speed in miles per hour?
​

Constructing 95% and 99% confidence intervals for the mean amount of garbage per bin for all bins in the city. Don't use 68/95/99.7 rule; instead use R to compute the quantities such as quantiles are:

a) 51.592 b) 54.008 c) 51.213 d) 54.387

Here, we have,

a) lower limit of 95% interval

Lower limit = 52.8 - (1.96) (3.9/sqrt 40) = 51.592

b) upper limit of 95% interval

upper limit = 52.8 + (1.96) (3.9/sqrt 40) = 54.008

c) lower limit of 99% interval

Lower limit = 52.8 - (2.576) ( 3.9 / sqrt 40)= 51.213

d) upper limit of 99% interval

Upper limit = 52.8 + (2.576) ( 3.9 / sqrt 40) = 54.387

Hence, Constructing 95% and 99% confidence intervals for the mean amount of garbage per bin for all bins in the city. Don't use 68/95/99.7 rule; instead use R to compute the quantities such as quantiles are:

a) 51.592 b) 54.008 c) 51.213 d) 54.387

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Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

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F type connector

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Circumference = 2 x radius x Pi

Circumference = 2 x 15 x 3.14

Circumference = 30 x 3.14

Circumference = 94.2 feet

Answer:

\( \huge{ \boxed{ \sf{94.2 \: ft}}}\)

Step-by-step explanation:

\( \underline{ \sf{Given}} : \)

\( \star{ \sf{ \: Radius \: of \: a \: circle \: ( \: r \: ) \: = \: 15 \: ft}}\)

\( \star{ \sf{ \: pi \: (\pi) = 3.14}}\)

\( \boxed{ \sf{ \: Circumference \: of \: a \: circle \: = \: 2 \: \pi \: r}}\)

Plug the values and multiply them

\( \mapsto{ \sf{Circumference = \: 2 \:* \: 3.14 \: * \: 15}}\)

\( \mapsto{ \sf{Circumference \: = \: 94.2 \: ft}}\)

Hope I helped!

Best regards! :D

~\( \text{TheAnimeGirl}\)

Answer:

6 and - 4

Step-by-step explanation:

Adding up to 2

\(6 + ( - 4) = 6 - 4 \\ 6 - 4 = 2\)

Multiply to -24

\(6 \times ( - 4) = - 24\)

The precision of the estimate decreases when standard error of an estimate when the sample size in a SRS decreases. So, the correct answer is D).

The standard error of an estimate measures the variability of sample means around the population mean. As the sample size in a simple random sample (SRS) decreases, the sample mean becomes less representative of the population mean, resulting in more variability or less precision in the estimate.

The standard error increases as the sample size decreases because there is more uncertainty in the estimate due to the smaller sample size. Therefore, decreasing the sample size will increase the margin of error and decrease the precision of the estimate. So, the correct option is D).

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Answer:

A

Step-by-step explanation:

49-45 = 4 wrong

4/49 = 0.08163

        = 8.16%

Answer:

A) 8.16

Step-by-step explanation:

1) Subtract 49-45

2) Divide 4/49 and multiply by 100

3) Then multiply by 100

Hope this helped

The area of a parallelogram when the dimensions are a base of 440 miles and a height of 120 miles is 52800 miles²

It should be noted that the area of a parallelogram is calculated by multiplying the base by the height.

The dimensions are a base of 440 miles and a height of 120 miles.

The area of the parallelogram will be:

= Base × Height

= 440 × 120

= 52800 miles²

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The missing step in the given proof is that angle 4 = angle 16. Reason: transitive property of equality.

It should be noted that angle 4 and angle 8 as well as 8 and 16 are congruent as they are corresponding angles.

Therefore, the missing step in the given proof is that angle 4 = angle 16. Reason: transitive property of equality.

Therefore, 15 and 4 will be equal to 180 since they are supplementary angles.

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What is the missing step in the given proof?

Statement: m∠4 = m∠15

Reason: Substitution Property of Equality

Statement: m∠4 + m∠8 = 180°

Reason: definition of supplementary angles

Statement: ∠7 and ∠8 are supplementary.

Reason: Linear Pair Theorem

Statement: m∠4 = m∠16

Reason: Transitive Property of Equality

Statement: ∠15 and ∠8 are supplementary.

Reason: Transitive Property of Equality

The sum expressed in sigma notation is:

Σ(8n + 5), where n goes from 1 to 5.

1. Identify the pattern in the given sequence:

13, 21, 29, 37, 45.
2. Notice that each term is 8 more than the previous term, so the common difference is 8.
3. Find the general formula for the sequence:

an = a1 + (n-1)d, where an is the nth term, a1 is the first term (13), n is the term's position, and d is the common difference (8).
4. Plug in the values to get the formula:

an = 13 + (n-1)8.
5. Simplify the formula:

an = 8n + 5.
6. Express the sum in sigma notation:

Σ(8n + 5), where n goes from 1 to 5.

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1) a) The symmetric equations for the line is (x - 4) / -1 = (y + 4) / 4 = (z - 8) / -3

b) XY-plane is (4/3, 20/3, 0), YZ-plane is (0, 12, -4) and XZ-plane is (3, 0, 5).

2) The equation of the plane is 16x + 4y + 8z - 42 = 0.

3) The equation of the plane is -2x - 9y - 5z = 0.

1) Symmetric Equations for the Line:

a) To find the symmetric equations for the line that passes through the point (4, -4, 8) and is parallel to the vector (-1, 4, -3), we can use the parametric form of the line and then convert it into symmetric form.

Parametric Equations:

x = 4 - t

y = -4 + 4t

z = 8 - 3t

To convert these parametric equations into symmetric form, we eliminate the parameter 't' by setting up equations involving the ratios of differences of coordinates:

(x - 4) / -1 = (y + 4) / 4 = (z - 8) / -3

This gives us the symmetric equations for the line.

(b) Points of Intersection with Coordinate Planes:

To find the points in which the line intersects the coordinate planes, we substitute the appropriate values of coordinates into the equations of the line.

i) Intersection with XY-plane (z = 0):

Substituting z = 0 into the parametric equations, we get:

x = 4 - t

y = -4 + 4t

z = 8 - 3t

Setting z = 0, we have:

8 - 3t = 0

t = 8/3

Substituting t = 8/3 into the equations for x and y:

x = 4 - (8/3) = 4/3

y = -4 + 4(8/3) = 20/3

Therefore, the point of intersection with the XY-plane is (4/3, 20/3, 0).

ii) Intersection with YZ-plane (x = 0):

Substituting x = 0 into the parametric equations, we get:

x = 4 - t

y = -4 + 4t

z = 8 - 3t

Setting x = 0, we have:

4 - t = 0

t = 4

Substituting t = 4 into the equations for y and z:

y = -4 + 4(4) = 12

z = 8 - 3(4) = -4

Therefore, the point of intersection with the YZ-plane is (0, 12, -4).

iii) Intersection with XZ-plane (y = 0):

Substituting y = 0 into the parametric equations, we get:

x = 4 - t

y = -4 + 4t

z = 8 - 3t

Setting y = 0, we have:

-4 + 4t = 0

t = 1

Substituting t = 1 into the equations for x and z:

x = 4 - 1 = 3

z = 8 - 3(1) = 5

Therefore, the point of intersection with the XZ-plane is (3, 0, 5).

2) Equation for the Plane:

To find an equation for the plane consisting of all points equidistant from the points (-6, 4, 1) and (2, 6, 5), we can use the distance formula to set up an equation.

Let P(x, y, z) be a point on the plane.

The distance from P to (-6, 4, 1) should be equal to the distance from P to (2, 6, 5).

Using the distance formula, we have:

√[(x - (-6))² + (y - 4)² + (z - 1)²] = √[(x - 2)² + (y - 6)² + (z - 5)²]

Simplifying the equation gives:

(x + 6)² + (y - 4)² + (z - 1)² = (x - 2)² + (y - 6)² + (z - 5)²

Expanding and simplifying further:

x² + 12x + 36 + y² - 8y + 16 + z² - 2z + 1 = x² - 4x + 4 + y² - 12y + 36 + z² - 10z + 25

Rearranging the terms:

16x + 4y + 8z - 42 = 0

Therefore, the equation of the plane is 16x + 4y + 8z - 42 = 0.

3) Equation of the Plane:

To find the equation of the plane that passes through the point (-2, 1, 1) and contains the line of intersection of the planes x + y - z = 3 and 4x - y + 5z = 5, we can use the following steps:

Step 1: Find the direction vector of the line of intersection of the given planes.

To find the direction vector, we take the cross product of the normal vectors of the two planes.

The normal vector of the first plane, P1: (1, 1, -1)

The normal vector of the second plane, P2: (4, -1, 5)

The direction vector, D: P1 x P2

D = (1, 1, -1) x (4, -1, 5)

Using the cross product formula, we have:

D = ((1)(-1) - (-1)(1), (-1)(4) - (1)(5), (1)(-1) - (1)(4))

D = (-2, -9, -5)

So, the direction vector of the line of intersection is (-2, -9, -5).

Step 2: Use the point-direction form of the plane equation.

The equation of the plane passing through a given point (x0, y0, z0) with a direction vector (a, b, c) is given by:

a(x - x0) + b(y - y0) + c(z - z0) = 0

Substituting the values from the given information:

Point on the plane: (-2, 1, 1)

Direction vector: (-2, -9, -5)

The equation becomes:

(-2)(x - (-2)) + (-9)(y - 1) + (-5)(z - 1) = 0

(-2)(x + 2) - 9(y - 1) - 5(z - 1) = 0

-2x - 4 - 9y + 9 - 5z + 5 = 0

-2x - 9y - 5z = 0

Therefore, the equation of the plane is -2x - 9y - 5z = 0.

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Answer:

A,

Step-by-step explanation:

because the whole number 144 is a perfect square and the square root of 144 is also a whole number

Answer:

106 pennies

Step-by-step explanation:

Rhonda's sister is scamming Rhonda lol

Answer:

Choice b

Step-by-step explanation:

Area of a rectangle: width x length

Now lets find what the width equals :)

Choice a: 10 x 5 = 50

Choice b: 10 x 6 = 60

Choice c: 10 x 7 = 70

Choice d: 10 x 8 = 80

The correct answer would be b :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

15 weeks

Step-by-step explanation:

2lbs. x 14weeks  = 28lbs.          

200(pounds) - 28(pounds) = 172

 175lbs. > 172lbs.

Because 175 lbs. is still greater than 172 lbs. 14 weeks isn't enough.

2lbs. x 15weeks  = 30lbs.           200(pounds) - 30(pounds) = 170

Therefore, it will take Emily 15 weeks to weight less than 175 lbs.

(If this was helpful please rate or leave brainliest. Thank you in advance!)

Answer:

LM=JM

Step-by-step explanation:

a)  the probability of exactly two breakdowns in the next month is approximately 0.224 or 22.4%

b)  the probability of at most one breakdown in the next month is approximately 0.199 or 19.9%.

To find the probability of the number of breakdowns in a month for the washing machine using the Poisson probability distribution, we need to know the average rate of breakdowns per month, which is given as three breakdowns.

The Poisson probability distribution formula is given by:

P(x; λ) = (\(e^{(-\lambda )\)* λ^x) / x!

Where:

P(x; λ) is the probability of x events occurring in a given interval,

λ is the average rate of events occurring in that interval,

e is the base of the natural logarithm, and

x! represents the factorial of x.

a) To find the probability of exactly two breakdowns, we substitute x = 2 and λ = 3 into the formula:

P(2; 3) = (\(e^{(-3)} * 3^2\)) / 2!

Calculating this, we get:

P(2; 3) ≈ 0.224

Therefore, the probability of exactly two breakdowns in the next month is approximately 0.224 or 22.4%.

b) To find the probability of at most one breakdown, we sum the probabilities of zero breakdowns and one breakdown:

P(0; 3) + P(1; 3)

Substituting x = 0 and λ = 3 into the formula for the first term:

P(0; 3) = (\(e^{(-3)} * 3^0)\) / 0! = \(e^{(-3)\)

Substituting x = 1 and λ = 3 into the formula for the second term:

P(1; 3) = (\(e^{(-3)} * 3^1\)) / 1! =\(3e^{(-3)\)

Calculating this sum, we get:

P(0; 3) + P(1; 3) = \(e^{(-3)} + 3e^{(-3)}\)

Approximating this value, we find:

P(0; 3) + P(1; 3) ≈ 0.199

Therefore, the probability of at most one breakdown in the next month is approximately 0.199 or 19.9%.

Using the Poisson probability distribution, we can determine the likelihood of different numbers of breakdowns occurring in a month for the washing machine in the laundromat.

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Answer:

Step-by-step explanation:

equation of The line L : y = -(1/2)x + 6

A(8 , b) ∈ L  then b = -(1/2)(8) +6 then b = -4 + 6 = 2

Therefore ,

A(8 , 2)

AB = 2

CD = 6

BC = 8

…………………………………………

Area of the trapezoid ABCD

= (CB÷2)×(AB + CD)

= (8÷2)×(6+2)

= 32

Answer:

Step-by-step explanation:

Since the sequence is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

d = 6

a = 2

n = 12

So the 12th term of the sequence is

A(12) = 2 + (12-1)6

= 2 + 11(6)

= 2 + 66

Hope this helps you

Answer:

Attach a picture

Step-by-step explanation:

The probability to draw tickets with a sum of 5 is 30%.

According to the question, there are 5 tickets with 1, 2, and 4 printed on one ticket each, while there are 2 tickets with the number 3 printed on them.

We need to find the probability of drawing 2 tickets with a sum of 5 out.

Probability = no of possibilities for an event/total no. of possibilities

From these 5 tickets, 2 tickets at random can be drawn in

⁵C₂ ways.

= 5 X 4

= 20 ways.

Now the possible combinations to draw a sum of 5 is

(1,4) , (2,3) , (2,3) , (3,2) , (3,2) , (4,1)

=  6 ways

Here there are 2 tickets with 3 printed on them so events concerning 3 will be repeated in the sample space.

Hence, the probability to draw 2 tickets with a sum of 5 is

6/20

= 3/10

= 30%

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The total area of both the circles as calculated from the data given is found out to be as 246.64 cm² .

The formula to calculate the area of a circle is,  (pi)r² where r = radius.

Therefore, the area of the first circle is found out to be as ,

22/ 7 x 7.8 x 7.8

=191.2 cm²

and the area of second circle will be ,

22/7 x 4.2 x 4.2

= 55.44 cm²

Therefore, the sum of the areas of the circle will be ,

191.2 + 55.44

= 246.64 cm² .

The area of a shape is known as the space occupied by it in tw dimensional space.

Every figure has a specific area and can be found by using unique formulas. The formula to calculate the area of a circle is  (pi)r².

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Answer:

x > -5

Step-by-step explanation:

The electric field at point P due to the charges q and -q is zero. Option (iv) None of the above is the correct answer.

The electric field a distance y above the midpoint between two equal and opposite charges, q and −q, that are a distance d apart as shown in Fig. 1 above can be found as follows:

Since, the distance between the charges is d, the distance from the midpoint to either of the charges would be d/2. According to the principle of superposition, the electric field due to the two charges would be the vector sum of the electric fields due to the charges q and -q at point P. Let's consider the electric field due to the charge q at point P and the electric field due to the charge -q at point P.

Electric field due to the charge q: Using Coulomb's law, we can write the electric field due to the charge q at point P as:

E1 = kq/r1²,

where k is Coulomb's constant, q is the charge, and r1 is the distance between the charge q and point P.

The distance r1 can be calculated as:

r1 = [(d/2)² + y²]^1/2

Since the electric field is a vector quantity, we can represent it in terms of unit vector i as follows:

E1 ˉ= kq/[(d/2)² + y²]^1/2 iˉ

Electric field due to the charge -q:

Similarly, the electric field due to the charge -q at point P can be written as:

E2 ˉ= - kq/[(d/2)² + y²]^1/2 iˉ (because the charge is negative)

Therefore, the net electric field at point P can be obtained by taking the vector sum of the electric fields due to the two charges:

E ˉ= E1 ˉ + E2 ˉ= [kq/[(d/2)² + y²]^1/2 - kq/[(d/2)² + y²]^1/2] iˉ= 0

Thus, the electric field at point P due to the charges q and -q is zero. Option (iv) None of the above is the correct answer.

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Answer:

Ten is at least the product of a number h and 5. h = 2

Step-by-step explanation:

Divide 10 by 5 and you get 2.

Check; 5 x 2 = 10

The minimized SOP expression for F(A,B,C,D,E) using a five-variable Karnaugh map is D'E' + BCE'. A five-variable Karnaugh map is a graphical tool used to simplify Boolean expressions.

The map consists of a grid with input variables A, B, C, D, and E as the column and row headings. The cell entries in the map correspond to the output values of the logic function for the respective input combinations.

To find the minimized SOP expression, we start by marking the cells in the Karnaugh map corresponding to the minterms given in the function: 2m(4,5,6,7,9,11,13,15,16,18,27,28,31). These cells are identified by their binary representations.

Next, we look for adjacent marked cells in groups of 1s, 2s, 4s, and 8s. These groups represent terms that can be combined to form a simplified expression. In this case, we find a group of 1s in the map that corresponds to the term D'E' and a group of 2s that corresponds to the term BCE'. Combining these groups, we obtain the expression D'E' + BCE'.

The final step is to check for any remaining cells that are not covered by the combined terms. In this case, there are no remaining cells. Therefore, the minimized SOP expression for the given logic function F(A,B,C,D,E) is D'E' + BCE'.

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The number of team members included in a histogram depends on the specific context and the categories being represented. The histogram provides a visual representation of the distribution of data points within those categories.

The number of team members included in a histogram depends on the specific context in which it is being used. A histogram is a graphical representation of the distribution of a dataset. It consists of a series of bars, where the height of each bar represents the frequency or count of data points falling within a specific range or bin.In the context of a project team, the histogram can represent the number of team members with a certain level of experience, such as junior, intermediate, or senior. Each bar would represent a category, and the height of the bar would represent the count of team members falling within that category.

For example, if we have a histogram representing the experience levels of a project team, we might have three bars: one for junior team members, one for intermediate team members, and one for senior team members. The height of each bar would represent the count of team members falling within that category.

In this case, the number of team members included in the histogram would depend on the number of team members in each category. For instance, if there are 50 junior team members, 75 intermediate team members, and 25 senior team members, the histogram would have three bars, with heights of 50, 75, and 25 respectively.In conclusion, the number of team members included in a histogram depends on the specific context and the categories being represented. The histogram provides a visual representation of the distribution of data points within those categories.

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Answer:

mean-3.2

median-3

mode-3

Step-by-step explanation:

Complete question is;

Keisha needs to make at least 32 costumes for the school play. Since she can make 4 costumes each week, Keisha plans to work on the costumes for at least 8 weeks.

Which inequality matches the problem?

A) x ≥ 8

B) x = 8

C) x ≤ 8

D) none of the above

Answer:

A: x ≥ 8

Step-by-step explanation:

Let the number of weeks be x.

She needs to make at least 32 costumes and plans to work at least 8 weeks. Since she makes 4 costumes per week, we can say that;

4x ≥ 32

I used greater than or equal to sign because she can't make less than 32 costumes.

Also, she can't use less than 8 weeks.

Thus; dividing both sides by 4, we have;

4x/4 ≥ 32/4

x ≥ 8

Answer:

3(4) - 2 is 10 the value is 10

5(2) + 6 is 16 the value is 16

I hope this helps have a good day or night!