MATHEMATICS HIGH SCHOOL

The table below shows the number of cars Jing sold each month last year.What is the median of the data in the table.
13
16
19
20.5
23.5
Other:

Answers

Answer 1

Answer:

Answer:

The median of the data in the table is 19.

Step-by-step explanation:

We are given the following data that shows the number of cars Jing sold each month last year below;

Number of cars Jing sold: 13, 16, 19, 20.5, 23.5

For calculating the median, firstly we have to observe that the number of observations (n) in our data is even or odd because;

If n is odd, then the formula for calculating median is given by;

Median = $((n+1)/(2) )^(th) \text{ obs.}$

If n is even, then the formula for calculating median is given by;

Median = $\frac{((n)/(2) )^(th) \text{ obs.} + ((n)/(2)+1 )^(th) \text{ obs.} }{2}$

Here, the number of observations in our data is odd, i.e. n = 5.

So, Median = $((n+1)/(2) )^(th) \text{ obs.}$

= $((5+1)/(2) )^(th) \text{ obs.}$

= $((6)/(2) )^(th) \text{ obs.}$

= 3rd obs. = 19

Hence, the median of the data in the table is 19.

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I need to submit it by tmr

Answers

Answer: 81.85 km/hr

Converting m/sec into km/hr, 25 m/sec = 90 km/hr

Average =

Time = 50/90 = 5/9 hr

next 120 km at an average speed of 80km/h

=> Time = 120/80 = 3/2 hr

last part of its journey at an average speed of 90km/h in 35 Minutes

time = 35 minutes = 35/60 hr = 7/12 hr

Distance covered = 90 * 7 /12 = 105/2 km

Total Distance = 50 + 120 + 105/2 = 435/2 km

Total time = 5/9 + 3/2 + 7/12 = ( 20 + 54 + 21) /36 = 95/36

Average speed = (435/2)/(95 /36) = 432 * 18 /95 = 81.85 km/hr

Write the equation of the function g(x) if g(x) = f(x+2) +4 and f(x) = x^3 -7

Answers

f(x) = x³ - 7
f(x + 2) = (x + 2)³ - 7
f(x + 2) = (x + 2)(x + 2)(x + 2) - 7
f(x + 2) = (x(x + 2) + 2(x + 2))(x + 2) - 7
f(x + 2) = (x(x) + x(2) + 2(x) + 2(2))(x + 2) - 7
f(x + 2) = (x² + 2x + 2x + 4)(x + 2) - 7
f(x + 2) = (x² + 4x + 4)(x + 2) - 7
f(x + 2) = (x²(x + 2) + 4x(x + 2) + 4(x + 2)) - 7
f(x + 2) = (x²(x) + x²(2) + 4x(x) + 4x(2) + 4(x) + 4(2)) - 7
f(x + 2) = (x³ + 2x² + 4x² + 8x + 4x + 8) - 7
f(x + 2) = (x³ + 6x² + 12x + 8) - 7
f(x + 2) = x³ + 6x² + 12x + 8 - 7
f(x + 2) = x³ + 6x² + 12x + 1

g(x) = f(x + 2) + 4
g(x) = (x³ + 6x² + 12x + 1) + 4
g(x) = x³ + 6x² + 12x + 1 + 4
g(x) = x³ + 6x² + 12x + 5

What is the square root of 67

Answers

Every positive number has two square roots.

The square roots of 67 are 8.185... (rounded) and -8.185... (rounded) .

Both are irrational numbers, so they can't be completely written down
with digits. No matter how many decimal places I write, it can never be
enough, because these decimals go on forever and never end.

The square root of 67 is, 8.18535277187

Write a story problem in which you would have to multiply 5 × (-1/3) to find the answer.

Answers

Joe, Maxi and Shelly were at home cooking some food. they were wondering if they wanted to put the five cobs of corn and 1/3 of a cob in the dish. How much corn is there?

Sowwy for being late.

Answer

(5)(1)3=53(

Step-by-step explanation:

What is the slope of у= 3х — 9

Answers

Answer:

Step-by-step explanation:

3 is the slope intercept I believe

If the y = ( x - 6)( x + 12) is graphed in the xy – plane, what is the x-coordinate of the parabola’s vertex?Please with steps and formula thx!

Answers

Answer:

B) -3

Step-by-step explanation:

The zeros of the function are found easily from the factors. They are 6 and -12. The x-coordinate is halfway between them, at (6 + (-12))/2 = -6/2 = -3.

If you want a formula, consider a quadratic with roots (zeros) p and q. Then it factors as

... y = (x -p)(x -q)

The line of symmetry through the vertex is also the line of symmetry between the roots, so has x-coordinate:

... x = (p+q)/2

___

In your problem, you have p=6, q=-12, so x = (p+q)/2 = -6/2 = -3 is the line of symmetry and the x-coordinate of the vertex.

The vertex of a parabola is the minimum or the maximum point on the parabola

The x-coordinate of the vertex is -3

The equation is given as:

$y = ( x - 6)( x + 12)$