Hey, please help solve the question.​

a. From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes.

b. The measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day is the range.

From the question,

The data for the first week are

Week 1: 12, 8, 10, 9, 12

and for the second week

Week 2: 8, 7, 12, 9, 10

Putting the data together, we have  

12, 8, 10, 9, 12, 8, 7, 12, 9, 10.

Now,

]a. To determine the mean of the above data,

Mean is the average of the numbers. The mean can be determined by adding up the numbers and then dividing by the count of the numbers.

From the above, we have 10 numbers

∴ [tex]Mean = \frac{12+8+10+9+12+8+7+12+9+10}{10}[/tex]

[tex]Mean = \frac{97}{10}[/tex]

Mean = 9.7 minutes

For the median of the data

The median of a given set of numbers is the middle value when the numbers are sorted either in the ascending or descending order.

For the data 12, 8, 10, 9, 12, 8, 7, 12, 9, 10

Arranging in ascending order, we get

7, 8, 8, 9, 9, 10, 10, 12, 12, 12.

Since we have two numbers (9 and 10) in the middle, the median can be determined by the finding the average of these numbers.  

∴ [tex]Median = \frac{9+10}{2}[/tex]

[tex]Median = \frac{19}{2}[/tex]

Median = 9.5 minutes

For the mode of the data

The mode is the value that occurs most often.

From the data, 12 occurs most often (three times)

∴ Mode = 12 minutes

For the range of the data

Range is the difference between the highest and lowest values.

From the data

Highest value = 12

Lowest value = 7

∴ Range = 12 - 7

Range = 5 minutes

b. For the measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day.

Here, we are talking about measures of dispersion. The only measure of dispersion from above is range.

∴ The measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day is the range.

Hence,

From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes

and the  measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day is the range.

Learn more here: https://brainly.com/question/16882439

Answer:

275 miles

Step-by-step explanation:

I assume all towns are on the same line. Then, town C is 5.5 cm from town A on the map since 3.5 cm + 2 cm = 5.5 cm.

The real distance can be calculated with a proportion.

2/100 = 5.5/x

2x = 5.5 * 100

2x = 550

x = 275

Answer: 275 miles

Answer:

Basing on the description, a parabola checking with vertex at origin, the formula with vertex at origin can be used, x^2 = 4py. p is the focus therefore with the dimensions given, we get yourself a 0.25 and this is the distance of the focus to the vertex.

Answer:

x= -11

Step-by-step explanation:

the coefficient is variable that appears before a number . bearing this in mind, the coefficient of x is therefore 2 .

the value of x is:

>32+2x=10

>2x=10-32

>2x= -22

>x= -11

Answer:

Step-by-step explanation:

Coefficient of x = 2

32 + 2x  = 10

Subtract 32 from both side

32 + 2x -32 = 10 - 32

              2x =  - 22

Divide both sides by 2

            2x/2 = -22/2

x = -11

Answer:

72.35%

Step-by-step explanation:

246/340 = .723529

Just multiply it by 100 to get the percentage

.723529 x 100 = 72.3529

area of circle =22/7×4=12.56

We need to simplify the left side first.

On the left side, all the terms can be combined.

So 4w - 3w + 2w is 3w.

So we have 3w = 24.

Next, dividing both sides by 3, we have w = 8.

So our solution is w = 8.

Answer

[tex] \boxed{ \huge{ \bold{ \sf{ \boxed{w = 8}}}}}[/tex]

Step by step explanation

[tex] \sf{4w - 3w + 2w = 24}[/tex]

Collect like terms

⇒[tex] \sf{w + 2w = 24}[/tex]

⇒[tex] \sf{3w = 24}[/tex]

Divide both sides of the equation by 3

⇒[tex] \sf{ \frac{3w}{3} = \frac{24}{3} }[/tex]

Calculate

⇒[tex] \sf{w = 8}[/tex]

Hope I helped!

Best regards!!

Answer:

If there are 1500 students in your school then 960 students would enjoy watching TV

Step-by-step explanation:

Step 1: We know that 64% of kids aged from 11 to 15 enjoy watching TV and there is 1500 students in your school

Step 2: We now want to find 64% of 1500, we can rewrite 64% as 0.64. We multiple 1500 by 0.64 to find out how many students enjoy watching TV

0.64 x 1500 = # of students who like watching TV

960 = # of students who like watching TV

Therefore out of 1500 students, 960 would enjoy watching TV

Answer:

3x(x-1)-5(x-1)

=3x²-3x-5x+5 (we can count it one by one)

=3x²-8x+5 (we can calculate the same variable)

#i'm from indonesia

hope it helps.

Answer:

[tex]\boxed{3x^2 -8x+5}[/tex]

[tex]\boxed{(3x-5)(x-1)}[/tex]

Step-by-step explanation:

[tex]3x(x-1)-5(x-1)[/tex]

Expand brackets.

[tex]3x(x)+3x(-1)-5(x)-5(-1)[/tex]

[tex]3x^2 -3x-5x+5[/tex]

Combine like terms.

[tex]3x^2 -8x+5[/tex]

[tex]3x(x-1)-5(x-1)[/tex]

Take x-1 as a common factor.

[tex](3x-5)(x-1)[/tex]

Answer:

D) 9:00 am

Step-by-step explanation:

Because 9:00 is the midpoint of 7 and 12

Answer: (2, -4) and (7, -1)

Step-by-step explanation:

Ok, the solutions of the system of inequalities are all the points that lie on the blue shaded part of the graph or in the solid line.

So, in order to see if the points are solutions of the system, then you need to locate the point in the graph and see if it is inside the shaded region or in the solid line (only in the segment that "touches" the shaded region).

Now, we want to find the equation of the solid line, we can see that it passes through the points (0, 6) and (6, 0)

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then, in this case, the slope is:

a = (0 - 6)/(6 - 0) = -1.

And to find the value of b, we have that when x = 0, y = 6.

y = 6 = -1*0 + b

6 = b

The equation is:

y = -1*x + 6

(-1, 5) is not in the blue region nor in the solid line, so this is not a solution.

(7, - 1) this point is near the solid line, let's test it:

y(7) = -1*7 + 6 = -1

So the point (7, -1) is on the solid line, and is the other solution of the system.

Greetings from Brasil...

Its attached the diagram of the situation.....

The ground is 8 feet from the bottom edge of the window

We start by representing the building, the ladder and the ground in a sketch.

See attachment for diagram

From the diagram, the distance (d) from ground to the bottom edge of the window is calculated using Pythagoras theorem:

10^2 = d^2 + 6^2

Evaluate the squares

100 = d^2 + 36

Evaluate the like terms

d^2 = 64

Take the square root of both sides

d = 8

Hence, the ground is 8 feet from the bottom edge of the window

Read more about Pythagoras theorem at:

https://brainly.com/question/343682

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Answer:

4/5

Step-by-step explanation:

120/30=4

150/30=5

120/150=4/5

Answer:

4/5

Step-by-step explanation:

120/150

Both 120 and 150 are divisible by 30

So we divide both number by 30

120 ÷ 30 = 4

150 ÷ 30 = 5

So therefore the answer is

4/5

Hope this helps!

Answer:

-5/24

Step-by-step explanation:

get a common denominator = 24

-14/24 + 9/24 = -5/24

Answer:-5 /24 ez

Step-by-step explanation:

Answer:

[tex] \frac{25 \sqrt{3} }{2} [/tex]

Step-by-step explanation:

Height = 5 * tan 60°

[tex]height \: = 5 \sqrt{3} [/tex]

[tex]area = \frac{1}{2} \times 5 \times 5 \sqrt{3 } = \frac{25 \sqrt{3} }{2} [/tex]

Answer:

i think it is 6 but not sure

Step-by-step explanation:

Answer:

A is the answer hope i could help

Step-by-step explanation:

Answer:

B). 34.85°

Step-by-step explanation:

From trigonometric ratios:

[tex] \sin(C) = \frac{opposite}{hypotenuse} [/tex]

Opposite = 16

Hypotenuse = 28

[tex] \sin(C) = \frac{16}{28} \\ \\ C = { \sin}^{ - 1} ( \frac{16}{28} ) \\ \\ C = 34.85 \degree[/tex]

Answer:

11

Step-by-step explanation:

If the set of numbers are not in least to greatest first set them up into their positions. But since this set is already in least to greatest we can go to the next step.

6, 7, 10, 12, 12, 13

Cross off all numbers until you get to the middle:

6, 7, 10, 12, 12, 13

Find the mean of the numbers in the middle:

10 + 12 = 22

22 / 2 = 11

The answer is 11

Hope this helped.

Answer:

11

Step-by-step explanation:

10+12=22

22÷2=11

median is equal to the middle number after being arranged in ascending order.

Answer:

theta  = 180 -(A +B)

Step-by-step explanation:

The sum of the angles of a triangle is 180

theta + A + B = 180

solve for theta

Subtract ( A + B) from each side

theta +A+B -(A +B) = 180 -(A +B)

theta  = 180 -(A +B)

Answer:

20°

Step-by-step explanation:

The measure of the inscribed angle is equal to the half of the arc it sees

Since AC is the diameter the measure of arc ABC is 180°

and since A sees arc BC and C sees the arc AB

A< + C< = 90° so angle C = 20°

Answer:

x³ + 5x

Step-by-step explanation:

2x+5x3+3x−4x3

=2x+5x3+3x+−4x3

Combine Like Terms:

=2x+5x3+3x+−4x3

=(5x3+−4x3)+(2x+3x)

=x3+5x

Answer:

[tex]\large \boxed{x^3+5x}[/tex]

Step-by-step explanation:

[tex]2x + 5x^3 + 3x - 4x^3[/tex]

[tex]\sf Group \ like \ terms.[/tex]

[tex]5x^3 - 4x^3+2x+3x[/tex]

[tex]\sf Combine \ like \ terms.[/tex]

[tex]x^3+5x[/tex]

Answer:

The length is 12metres, the width is 6metres

Step-by-step explanation:

Suppose the width is x, the length is x+6

The square is 72. The square of rectangular field is equal to product of length and width.

so x(x+6)=72

x^2+6x-72=0

a=1 b=6 c=-72

D= b^2-4ac= 6*6+288= 36+288= 324

sqrtD= 18

x1= (-b-sqrtD)/2a=(-6-18)/2= -12 (it is negative, but width is only positive. So this root doesn't match)

x2=(-b+sqrtD)/2a= (-6+18)/2= 12/2=6 - the width

The length is 6+6=12

Answer:

-2 ≤ x ≤ 6

Step-by-step explanation:

For function f:

x - 7 ≤ 0 and x ≥ 0

For function g:

x + 2 ≥ 0 and x - 5 ≤ 0

The sum of the f + g:

x - 7 + x - 5 ≤ 0

2x - 12 ≤ 0

2x ≤ 12

∴ x ≤ 6

Also, x + 2 ≥ 0

x ≥ -2

Hence, -2 ≤ x ≤ 6

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

y = 2x + 3

Comparing this equation with the general equation above

Slope / m = 2

Hope this helps you

Answer:

x=6

Step-by-step explanation:

13(x-3)=39

Divide each side by 13

13/13(x-3)=39/13

x-3 = 3

Add 3 to each side

x-3+3 = 3+3

x = 6

Answer:

x=6

Step-by-step explanation:

expanding we get

13x-39=39

13x=39+39

13x=78

x=78/13

x=6

Answer:

Step-by-step explanation:

The perimeter formula is P = 2L + 2W. If the perimeter is given as 68 feet, then our P will be filled in with 68. If the length is "5 inches shorter than twice the width" is an expression that looks like this, keeping in mind that "shorter" means subtraction, "twice" means doubled, and the word "is" means equals:

L = "length is"

2W is "twice the width"

5 inches shorter is " - 5". Putting it all together:

L = 2W - 5. Now we can fill in the perimeter formula:

68 = 2W + 2(2W - 5) and

68 = 2W + 4W - 10 and

68 = 6W - 10 and

78 = 6W so

W = 13. The width is 13 inches and the length is

L = 2(13) - 5 so the length is

L = 21 inches.

Answer:

see explanation

Step-by-step explanation:

Using x and y to represent the 2 numbers with x > y , then

x + y = 15 → (1)

x - y = 11 → (2)

Adding the 2 equations term by term to eliminate y

2x = 26 ( divide both sides by 2 )

x = 13

Substitute x = 13 into (1)

13 + y = 15 ( subtract 13 from both sides )

y = 2

The 2 numbers are 13 and 2