PLEASE HELPA group of students were surveyed to find out if they like bike riding and/or roller skating as a hobby. The results of the survey are shown below:
80 students like bike riding
20 students like bike riding but do not like skating
90 students like skating
40 students do not like bike riding
Make a two-way table to represent the data and use the table to answer the following questions.
Part A: What percentage of the total students surveyed like both bike riding and skating? Show your work.
Part B: What is the probability that a student who does not like bike riding also does not like skating?

Answers

Answer 1

Answer:

I don't know how to do the graph.

Part A: 80+20+90+40= 230 students. 90 for skating + 80 for biking= 170 170/230= 0.74 =74%

Part B: 20 for no skating+ 40 for not biking = 60. The probability is 60 out of 230 students

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ABCD is a rectangle with AC=20 and AB=2BC. What is the area of rectangle ABCD?

Answers

$AC= 20 , \ AB=2BC \n\n Pythagorean\ theorem,\ we \ have : \n \n |AC|^2 = (2|BC|)^2+ |BC|^2 \n \n20^2 = 4|BC| ^2+ |BC|^2 \n \n400 =5|BC|^2\ \ /:5$

$|BC|^2=80 \n \n|BC|=√(80)=√(16\cdot 5)=4√(5)\n \n|AB|=2\cdot |BC| =2\cdot 4√(5)=8√(5)\n \nArea = |AB|\cdot |A|\n \nArea=8\cdot √(5)\cdot 4\cdot √(5)=32 \cdot 5 = 160 \n \n Answer : Area \ ABCD \ a \ rectangle = 160$

Let AB = 2x and BC be x.

By pythagoras theorum,

20² = x² + (2x)²

400 = x² + 4x²
400 = 5x²
80 = x²

x= √80 = 4√5 , thus, 2x = 8√5

Now, area = AB x AC

= 4√5 * 8√5

= 32 * 5

= 160

Thus, the area of rectangle ABCD is 160 units

Jim is 2 years older than 3 times his little brother, Tommy. Together their ages add up to 18. How old are they both?

Answers

1. "Jim is 2 years older than 3 times his little brother, Tommy." J = 2 + 3T "Together, their ages add up to 18." J + T = 18 J = 18 - T, so 18 - T = 2 + 3T 4T = 16 T = 4, J = 14 (which is 2 more than 3 * T)

In X+3(X+4)=20 you distribute the 3 to the x and 4 but what happens to that 3 afterwards

Answers

it is a linear simple equation, lets solve it step by step:
X + 3(X + 4) = 20
x + 3x + 3*4 = 20
4x + 12 = 20
4x = 20 - 12
4x = 8
x = 8/4
x = 2

What do you have to divide by to get from 60 to 50??

Answers

$60:50=(60)/(50)=(6)/(5)=\boxed{1(1)/(5)\ or\ decimal\ form\ 1(1\cdot2)/(5\cdot2)=1(2)/(10)=1.2}$

I don't know. Let's calculate it together:

60 divided by (the number) = 50

Multiply each side by (the number) :

60 = (the number) x 50

Divide each side by 50 :

60 / 50 = The number

60/50 = 6/5 = 1.2

What is the volume of a cone that has a height of 7 mm and a radius of 3 mm? Use 3.14 to approximate pi and round the answer to two decimal places if necessary.___mm3

Answers

volume=1/3 times area of base (circle) times height

circle=3.14 times radius^2
circle=3^2 times 3.14
circle=9 times 3.14=28.26
times height (7)
197.82
times 1/3=65.94
answer is 65.94 mm^3

Rewrite as a simplified fraction 1.6 <-- repeating=?

Answers

$1.6666...=1.\overline{6}=1.(6)\n\nx=1.6666...\ \ \ |multiply\ both\ sides\ by\ 10\n10x=16.6666...\n\n10x-x=16.6666...-1.6666...\n9x=15\ \ \ \ |divide\ both\ sides\ by\ 9\n\nx=(15)/(9)\n\n\boxed{x=1(6)/(9)}\n\nsimplify\n\nx=1(6:3)/(9:3)=\boxed{1(2)/(3)}$

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