The length of a rectangle is four times its width. if the perimeter of the rectangle is 40 centimeters, what is its area?

61 randomly selected students were asked the number of pairs of shoes they have. Let X represent the number of pairs of shoes. T

Molodets [167]

Complete question :

61 randomly selected students were asked the number of pairs of shoes they have. Let X represent the number of pairs of shoes. The results are as follows:

Pairs of Shoes4__5__6__7 __8 __9 __10 __11

Frequency : _ 8 _ 8 __5 _ 5 _ 9 __11 __7 ___8

Answer:

Mean = 7.64 ;

Median = 8

Q1 = 5

Q3 = 9

Atleast 10 pairs = 24.6

76% is equivalent to

Step-by-step explanation:

Round all your answers to 4 decimal places where possible.

10

The mean is:

Σfx /Σf

((8*4)+(5*8)+(6*5)+(7*5)+(8*9)+(9*11)+(10*7)+11*8)) ÷ (8+8+5+5+9+11+7+8) = 7.64

The median is:

0.5(n+1)th observation

n = frequency = 61

0.5(61 +1) = 1/2 * 62 = 31st observation

= 8

First quartile:

0.25(n+1)th observation

n = frequency = 61

0.25(61 +1) = 1/4 * 62 = 15.5

(15 + 16)th observation ÷ 2 = (5 + 5) / 2 = 5

The sample standard deviation is:

The third quartile is:

0.75(n+1)th observation

n = frequency = 61

0.75(61 +1) = 1/4 * 62 = 46.5

(46 + 47)th observation ÷ 2 = (5 + 5) / 2 = 9

What percent of the respondents have at least 10 pairs of Shoes? %

(7 + 8) / 61 = 15 / 61 = 0.246

76% of all respondents have fewer than how many pairs of Shoes?

(76 / 100) * 61

0.76 * 61

= 46.36

(46th + 47th)

(9 + 10) = 19 /2 = 9.5 = 10

6 0

3 years ago

James is playing his favorite game at the arcade. After playing the game 33 times, he has 88 tokens remaining. He initially had

Vlad1618 [11]

Answer:

$t(g)=-4g+20$

Step-by-step explanation:

Let g be the number of games James plays and t be the number of tokens James has.

We will write our function's formula in slope-intercept form of equation.

$y=mx+b$ , where,

m = Slope of line,

b = y-intercept.

We have been given that initially James has 20 tokens. This means that before playing the games James has 20 tokens or at g equals 0 t equals 20. So our y-intercept will be 20.

We are also told that after playing the game 3 times, he has 8 tokens remaining.

Let us find the slope of line using points (3,8) and (0,20).

$m=\frac{y_2-y_1}{x_2-x_1}$ , where,

m = Slope of line,

$y_2-y_1$ = Difference between two y-coordinates,

$x_2-x_1$ = Difference between x-coordinates of same two y-coordinates.

Upon substituting coordinates of our given points we will get,

$m=\frac{8-20}{3-0}$

$m=\frac{-12}{3}$

$m=-4$

So the slope of our line will be -4.

We can see that number of remaining tokens are dependent on number games James plays, this mean that t is a function of g.

Upon substituting our values in slope-intercept form of equation we will get,

$t(g)=-4g+20$ , where, t(g) represents number of tokens James has left after playing g games.

Therefore, our required function will be $t(g)=-4g+20$ .

4 0

3 years ago

Last year, Mia spent $31.68 on 24 pens, each of which cost the same amount of money. (a) How much did each pen cost? Show the wo

nignag [31]

Answer:

(a) $1.32 per pen.

Step-by-step explanation:

(a) The total amount, $31.68, distributed amongst 24 pens, equates to each pen costing a total of $(31.68/24) = $1.32 per pen.

(b) The total amount of money which Mia will have to spend on pens this yeah is $(1.45*30) = $43.5, which is $11.82 more than $31.68. Therefore, Mia will need to spend $11.82 more on pens this year.

Hope this helped!

3 0

3 years ago

The model represents x2 – 9x + 14.

Stels [109]

Factorize the quadratic trinomial $x^2 - 9x + 14$ by the rule:

$ax^2+bx+c=a(x-x_1)(x-x_2), \text{ where } x_1,\ x_2 \text{ are its roots. }$

1. Find the roots:

$D=(-9)^2-4\cdot 14=81-56=25,\ \sqrt{D}=5,\\ \\ x_1=\dfrac{9-5}{2}=2,\ x_2=\dfrac{9+5}{2}=7.$

2. Factorize the polynomial:

$x^2 - 9x + 14=(x-2)(x-7).$

3. Only factor x-2 is given in options, then the correct choice is B.

6 0

3 years ago

Read 2 more answers

Please help me with both a and b, i am clueless

krek1111 [17]

1. Yes because the first ratio would be 1:5 and the second would be 1:5 because you would divide the first one by 4 and the second by 3
2. And then by would be the same

6 0

3 years ago