Dan measures his height at
180cm to the nearest 10cm.
What is the smallest he could be

The mean is influenced by the values, while the median focuses on the position of values. The variability in ages among U.S. presidents is expected to be larger, resulting in a larger standard deviation.

The mean and median are both measures of central tendency, but they differ in how they represent the center of a data set. The mean, also known as the average, is calculated by adding up all the values in a data set and dividing it by the total number of values.
It is highly influenced by extreme values or outliers since it takes into account the magnitude of all the values. The mean provides a balanced representation of the entire data set.

On the other hand, the median is the middle value in an ordered data set. To find the median, the data set is first arranged in ascending or descending order, and then the middle value is identified. If there is an even number of values, the median is the average of the two middle values. The median is less affected by extreme values because it only considers the relative position of the values rather than their actual values.

The standard deviation measures the dispersion or spread of data around the mean. It quantifies the average amount by which each data point in a set deviates from the mean. In other words, it tells us how much the data points are scattered or spread out from the average.

A larger standard deviation indicates a greater dispersion of data points from the mean. If we compare the ages of U.S. presidents and high school teachers, we would expect the standard deviation of the U.S. presidents' ages to be larger. This is because the age range for U.S. presidents is much broader, spanning from early 40s to late 70s or even older.
On the other hand, the age range for high school teachers would likely be narrower, with most teachers falling within a certain age range, such as 25 to 65.
Therefore, the variability in ages among U.S. presidents is expected to be larger, resulting in a larger standard deviation.

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Answer:

3 units

Step-by-step explanation:

DC = \(\frac{1}{3}\) EC

5x - 9 = 6 ⇒ x = 3 units

The seasonal total prior to the recent storm was 76.42 inches.

To calculate the seasonal total prior to the recent storm, we need to subtract the rainfall from the recent storm (50 inches) from the updated seasonal total (26.42 inches).

Let's assume that the seasonal total prior to the recent storm is represented by "x" inches.

So, we can set up the equation:

x - 50 = 26.42

To solve for x, we can add 50 to both sides of the equation:

x - 50 + 50 = 26.42 + 50

This simplifies to:

x = 76.42

Therefore, the seasonal total prior to the recent storm was 76.42 inches.

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Answer:

3x+4<13

3x<9

x<3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

uygtycyniuhuy

Step-by-step explanation:

the ratio of the p is  31.5  and the area is 80 correct me if im wrong but if u need any help im always here :)

Answer:

y = 13x -107

Step-by-step explanation:

(10 - -3) / (9-8) =13

10= 13* 9 + b

b = 10 - 117 = -107

Answer:

Step-by-step explanation:

What are the main categories of electors in India?

Ans.- There are 3 categories of electors in India: –

(i)    General electors,

(ii)    Oversees   (NRI)   electors    -    (   Kindly   refer   to   ‘Frequently   Asked Questions – Overseas Electors’),

(iii)    Service Electors - (Kindly refer to ‘Frequently Asked Questions – Service Electors’).

Q2. Who is eligible to be registered as a general elector?

Ans. Every Indian citizen who has attained the age of 18 years on the qualifying date i.e. first day of January of the year of revision of...

faqs

resident electors

The average job satisfaction score is 1.5% higher than the goal.

To determine how the average job satisfaction score compares to the goal, we need to calculate the average job satisfaction score from the given data and compare it to the goal of 84%.

The average job satisfaction score can be calculated by taking the sum of the job satisfaction scores for each month and dividing it by the total number of months (6 in this case).

Sum of job satisfaction scores = 82 + 82 + 85 + 86 + 88 + 90 = 513

Average job satisfaction score = Sum of job satisfaction scores / Total number of months = 513 / 6 ≈ 85.5%

The average job satisfaction score is approximately 85.5%. Now we can compare it to the goal of 84%.

To calculate the difference between the average job satisfaction score and the goal:

Difference = Average job satisfaction score - Goal

Difference = 85.5% - 84% = 1.5%

Therefore, the average job satisfaction score is 1.5% higher than the goal.

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Answer:

B

Step-by-step explanation:

not an arithmetic sequence

d=18-10=8

d=25-18=7

d not equal

hope this helps

The sequence 0, 10, 18, 25, 33, ... is not an arithmetic sequence. Then the correct option is B.

In a Number-crunching Succession, the distinction between one term and the following is steady. Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence is given below.

0, 10, 18, 25, 33, ...

The difference between two successive terms is given as,

⇒ 33 - 25

⇒ 8

⇒ 25 - 18

⇒ 7

The common difference is not the same.

Thus, the given sequence is not an arithmetic sequence. Then the correct option is B.

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The value of radius of a right circular cylinder is 1,248 in for which the minimum surface area is obtained.

Volume of the  right circular cylinder be;

v(c) = 12 in³ =  π*r²*h    

In which, h is the height of the cylinder,

Then , h  =  12 / π*r²

Surface area of a right circular cylinder is:

S = area of base and top  + lateral area

S(A)  =  2*π*r²  + 2*π*r*h  ....eq 1

Put value of 'h' in equation (1)

S(r)  =  2*π*r² +   2*π*r*  ( 12 / π*r²)

S(r)  =  2*π*r² + 24 /r

Differentiate both sides,

S´(r)  =  4*π*r -  24 /r²

Put , S´(r)  = 0 to get the critical points.

4*π*r -  24 /r²  =  0

π*r - 6/r² = 0

π*r³ - 6  = 0

r³   =  1,91    

r = 1,248 in    

Check for the minimum surface area for r = 1,248 in.

Find the second derivative,

S´´(r)  =  4*π  +  48/r³    

S´´(r)  will always be positive.

Thus,  the minimum surface area S  is for   r = 1,248 in.

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To estimate the proportion of washing machines that would fail within the margin of error of 0.2 with 95% confidence, the required sample size can be determined using an appropriate formula and the desired level of confidence.

To estimate the proportion of washing machines that would fail within a certain margin of error, we need to determine the required sample size. The margin of error is defined as half the length of the confidence interval, which represents the range within which the true proportion is expected to fall with a certain level of confidence.

To calculate the required sample size, we can use the formula:

n = (Z² * p * (1 - p)) / E²,

where n is the sample size, Z is the z-score corresponding to the desired level of confidence (in this case, 95%), p is an estimate of the proportion of washing machines that would fail (we can assume a conservative estimate of 0.5 for maximum variability), and E is the margin of error (0.2).

Plugging in the values, we have:

n = (1.96² * 0.5 * (1 - 0.5)) / (0.2²) ≈ 96.04.

Therefore, to estimate the proportion of washing machines that would fail within a margin of error of 0.2 with 95% confidence, approximately 97 washing machines should be chosen to be tested.

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Answer:

2

Step-by-step explanation:

x³ = 8

∛8 = 2

found by 2 • 2 • 2 = 4 • 2 = 8

Answer: Option (C): L′(−1, 2)

Step-by-step explanation:

To reflect the preimage over y = -2, we can use the formula for reflecting a point (x, y) over a horizontal line y = b:

(x, y') = (x, 2b - y)

In this case, the horizontal line is y = -2, so b = -2.

So we can find the image coordinate of L' as follows:

L' = (-1, 2(-2) - (-6)) = (-1, 4)

Therefore, the image coordinate of L' after reflecting the preimage over y = -2 is L'(-1, 4). So the answer is option (c): L′(−1, 2).

Answer:

75%

Step-by-step explanation:

Answer:

A... 25%

Step-by-step explanation:

75/300 = 1/4

0.25 = 25%

Answer:

(3x^2 + 5x +3) (x + 5)

|DF| = |DE| + |EF|

Answer: |EF| = 58

|DF| = 9x -36

|DE| = 47

|EF| = 3x+10

Substitute:

9x - 39 = 47 + 3x + 10

9x - 39 = 3x + 57     |+39

9x = 3x + 96    |-3x

6x = 96    |:6

x = 16

Put the value of x to the equation |EF| = 3x + 10

|EF| = (3)(16) + 10 = 48 + 10 = 58

- Amaya

the probability that a failure will occur in 41 hours or less is approximately 0.441, or 44.1%.

To find the probability that a failure will occur in 41 hours or less, we need to calculate the cumulative distribution function (CDF) of the exponential distribution. The CDF gives the probability that the random variable is less than or equal to a certain value.

The CDF of an exponential distribution with rate parameter λ is given by:

F(t) = 1 - e²(-λt)

In this case, the rate parameter λ is equal to 1/88 (since the mean of an exponential distribution is equal to 1/λ).

Substituting the values into the CDF equation, we have:

F(t) = 1 - e²(-t/88)

To find the probability that a failure will occur in 41 hours or less, we substitute t = 41 into the CDF equation:

F(41) = 1 - e²(-41/88)

Calculating this value, we get:

F(41) ≈ 0.441

Therefore, the probability that a failure will occur in 41 hours or less is approximately 0.441, or 44.1%.

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Answer:

To solve for x in the equation 8x + 7 = 6x + 15, you need to isolate the variable (x) on one side of the equation.

First, you can start by subtracting 6x from both sides of the equation to get:

8x + 7 - 6x = 15

Simplifying this gives: 2x + 7 = 15

Next, you can subtract 7 from both sides of the equation to get: 2x = 8

Finally, divide both sides of the equation by 2 to solve for x: x = 4

Therefore, the solution for x in the equation 8x + 7 = 6x + 15 is x = 4

Answer:

x = 4

Step-by-step explanation:

To solve the equation 8x + 7 = 6x + 15, you can start by isolating the variable on one side of the equation. To do this, you can subtract 6x from both sides of the equation to get 2x + 7 = 15. Then, you can subtract 7 from both sides of the equation to get 2x = 8. Finally, you can divide both sides of the equation by 2 to get x = 4 1.

I hope that helps!

Answer:

9 houses were not decorated for christmas

Step-by-step explanation:

If 80% were decorated, then 20% were not decorated

80 to 20 is a ratio of 4 : 1

So the number of decorated houses is 4 times the number of undecorated houses

The number of undecorated houses will be

36/4 = 9

Answer:

Exactly. Under Trump so many families have gone missing and children are without their parents. He is such a horrible person and the fact that people actually like him mean they are ignorant and gullible or just as much of a racist as he is.

Step-by-step explanation:

Vote Biden 2020 #republicansforBiden

Answer:

DE ║ BC

BC = 2(DE)

Step-by-step explanation:

From the picture attached,

AD = DB [Given]

AE = EC [Given]

Therefore, points D and E will be the midpoints of the sides AB and AC.

By midsegment theorem,

Segment joining midpoints of the two sides of a triangle is parallel and measures the half of the third side of the triangle.

DE ║ BC

DE = \(\frac{1}{2}(BC)\)

BC = 2(DE)

The weighted weekly mean of t-shirt sales is 5.6.

The total number of weeks reported is the sum of the frequency column.

1+4+7+3 = 15 weeks

The total number of t-shirts sold is calculated as the product of the quantity of t-shirts sold and the number of weeks during which those t-shirts were sold.

2*1 + 4*4 + 6*7 + 8*3 = 2 + 16 + 42 + 24 = 84

The weighted mean, which is the product of the total quantity of t-shirts and the total number of weeks, represents the average number of T-shirts sold every week:

84/15 = 5.6

Response: 5.6

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Answer:

165

Step-by-step explanation:

First we need to find the area of the field, A = r^2 * pi

The radius is 290 / 2 = 145 feet

A = 145 * 145 * 3.14 = 66018.5 sqr feet

One bag covers 400 sqr feet

Divide the Area by 400 sqr feet to find number of bags needed.

66018.5 / 400 = 165

He will need at least 165 bags to cover the field

Answer:

B ( 5 , 3/4 )

Step-by-step explanation:

Solution:-

We are given two points in the cartesian coordinate system as:

                    A ( -5 , 2 )              C ( 11, 0 )

The point B lies on the line segment from A to C. The ratio of segment given is:

                               AB / BC = 5 / 3

To solve such type of problems. We will use vector equation of line AC.

To form a vector equation of line representing AC. We will first determine the direction vector ( d ) that is parallel to the line AC as follows:

                  d = OC - OA

                  d = < 11, 0 > - < -5,2 >

                  d = < 16 , -2 >

The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point C is expressed as:

                 < x , y > = OA + t*d

                 < x , y > = < -5, 2 > + t* < 16 , - 2 >  

The above equation satisfies all the points that lies on the line AC. To determine the coordinates of ( B ). We will plug in the appropriate value of parameter ( t ) and evaluate. We are given the ratio 5:3.

So point B is 5/8 th the magnitude of the distance AC from A. Hence, t = 5/8 as follows:

                < x , y > = < -5 , 2 > + ( 5/8 ) * < 16 , -2 >

                < x , y > = < -5 , 2 > + < 10 , -5/4 >

                < x , y > = < 5 , 3/4 >   ... Answer

Answer:

  x, y  =  5, 3/4

Step-by-step explanation:

Answer:23%

Step-by-step explanation: 800-616= 184

Discount is 184

percentage is 184/800 ×100/1 =23%

The continuity equation is a fundamental principle in fluid dynamics that expresses the conservation of mass for a fluid. It states that the rate of change of mass in a fluid is equal to the net flow of mass into or out of a given volume. Mathematically, the general expression of the continuity equation is:

∂ρ/∂t + ∇ · (ρv) = 0

where ρ is the fluid density, t is time, v is the fluid velocity, and ∇ · is the divergence operator.

If the fluid is assumed to be incompressible, which means that the density remains constant throughout the flow, the continuity equation simplifies to:

∇ · v = 0

This equation states that the divergence of the velocity field is zero, which implies that the volume flow rate is conserved along any path in the fluid. In other words, if the fluid is incompressible, the rate at which fluid flows into a given volume must be equal to the rate at which it flows out of that volume. The continuity equation is a powerful tool in fluid mechanics that helps to describe the behavior of fluids in a wide range of applications, from weather forecasting to the design of aircraft and ships.

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Answer:

Step-by-step explanation:

Ok, so there are 18 people. If 8/9 have umbrellas, how many have umbrellas?

There is a simple solution to this.

First, lets find out how much people is 1/9

We can do this by dividing 18 by 9 to get 2

So 1/9 of the group is 2 people.

Now you can use this to find 8/9 by multiplying 2 by 8

This gives you the total of 16

Another way you could do this was take the answer from the first step and subtract that from the 18

9/9 - 1/9 = 8/9   => 18 - 2 = 16

Hope this helps! =)