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Ede4ka [16]
3 years ago
13

Superman needs to save Lois from the clutches of Lex Luthor. After flying for 8 seconds, he is 1716 meters from her. Then at 18

seconds he is 1236 meters from her. What is Superman's average rate?
Mathematics
1 answer:
lukranit [14]3 years ago
5 0
To find the rate, you need to divide the change of distance by the change of time

(1716-1236)/(18-8)
=480/10
=48

Therefore, his rate is 48m/s
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Based on the data set shown, which of the following is a true statement?
patriot [66]
The mean, median, and mode are equal to 1. So among the choices, the first one is correct - mean = mode

Mean - an <em>average </em>of the given set of number; to find this, add the numbers and divide it by 11 (the number of given data)
   = (-1 + -1 + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3) / 11
   = 1

Median - the <em>middle or center</em> of the given set; to find this, arrange the numbers in numerical order, then get the center or middle number as the median
   = <span>-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
   = [</span><span>-1, -1, 0, 1, 1,] <u>1</u>, [1, 2, 2, 2, 3]

Mode - is the value that occurs most of the time in the given set; so obviously <em>number 1 occurred four times</em> so 1 is our mode
</span>
3 0
3 years ago
Read 2 more answers
Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2
ollegr [7]

Answer:

2x^2+8x-30 represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.

Step-by-step explanation:

Perimeter is defined as the sum of sides.

For a rectangle having dimension length 'L' and breadth 'B' Since, rectangle has two sides equal.

Perimeter of rectangle = 2 ( length + breadth )

Here, given rectangle has dimension

Length = 2x^2-16 and breadth = -x^2+4x+1

Thus, perimeter of rectangle = 2(2x^2-16+(-x^2+4x+1))

                                              =2(2x^2-16-x^2+4x+1)

                                               =2(x^2+4x-15)

                                                =2x^2+8x-30

Thus, perimeter of rectangle is 2x^2+8x-30   ........(1)

Perimeter of rectangle , when x = 3,

Put x= 3 in (1) ,

2x^2+8x-30\Rightarrow 2(3)^2+8(3)-30 \Rightarrow 18+24-30=12

Thus, 2x^2+8x-30 represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.




5 0
3 years ago
Read 2 more answers
A table has 4 equal edges, one side is 4 cm what is the perimeter
nasty-shy [4]

Answer:

well if each edge is equal in that mean each side equal in length so each side  is 4cm  

Step-by-step explanation:

so

perimeter= all sides added together

4+4+4+4

=16cm  

hope this helped

6 0
3 years ago
Read 2 more answers
You want to test the claim that the average age of students at Gorka College is greater than the average age of students at Yapo
777dan777 [17]

Answer:

Kindly check explanation

Step-by-step explanation:

The hypothesis :

H0 : μ1 = μ2

H1 : μ1 > μ2

Given :

x1 = 21.1 ; n1 = 53 ; s1 = 1.1

x2 = 20.7 ; n2 = 46 ; s2 = 1.2

The test statistic :

(x1 - x2) / √[(s1²/n1 + s2²/n2)]

(21.1 - 20.7) / √[(1.1²/53 + 1.2²/46)]

0.4 / 0.2326682

Test statistic = 1.719

The degree of freedom using the conservative method :

Comparing :

Degree of freedom = n - 1

Degree of freedom 1 = 53 - 1 = 52

Degree of freedom 2 = 46 - 1 = 45

Smaller degree of freedom is chosen ;

The Pvalue from Test statistic, using df = 45

Pvalue = 0.0462

Pvalue < α ; Hence, there is significant evidence to conclude that average age of Gorka student is higher than Yaphoa.

7 0
3 years ago
Which values of x make this equation true?
Evgesh-ka [11]

Answer:

{x}^{2}  + x = 12 \\  {x}^{2}  + x - 12 = 0 \\  {x }^{2}  + 4x - 3x - 12 = 0 \\ x(x + 4) - 3(x + 4) = 0 \\ (x + 4)(x - 3) = 0 \\ either \:  \:  \: or \:  \\ x =  - 4 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x = 3

the answer is -4 and 3

3 0
2 years ago
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