a random selection of indoors and outdoors pool managers are surveyed about the number of people in each age group that swim there. results from the survey are displayed in the two way table. based on the data, does there appear to be an association between pool type and age group? explain your reasoning​

Answer:

Step-by-step explanation:

So let the angles be 2x,3x,5x

∠A + ∠B + ∠C + ∠C = 360  

[Sum of all the angles of a quadrilateral ]

⇒2x+3x+5x+130=360  

⇒10x = 360 -130  

⇒x =  23

The angles are ,

∠A = 2x = 2×23 = 46

∠B = 3x = 3×23 = 69  

∠C = 5x = 5×23=115

Let the angles be 2x,3x and 5x

We know that 2x+3x+5x+130=360

10x+130=360

10x=230

Therefore x=23°

2x=46°

3x=69°

5x=115°

Hope it helped! Have a nice day!!

Answer:

[tex]-1[/tex]

Step-by-step explanation:

This is a really nice line that goes through a lot of grid points (where the lines intersect).

One easy way to find the slope is the phrase "rise over run."  "Rise" is the name for vertical motion from point-to-point.  "Run" is the name for horizontal motion from point-to-point.

Pick two easy points on the line, say (0, 0) and (1, -1).

If you go from (0, 0) to (1, -1), the rise is -1 -- because you went DOWN 1 unit.

The run is 1 -- because you went RIGHT 1 unit.

[tex]\frac{\text{rise}}{\text{run}} =\frac{-1}{1} =-1[/tex]

The slope is -1.

Cool fact:  You'll get the same value if you use any two points on the line.

Answer:

Impossible; certain to happen

Step-by-step explanation:

Probability = 0 applies to an event which cannot happen.  Example: roll a die and get a 7.

Probability = 1 applies to an even which is certain to occur.  Example: roll a die and get a number less than 8.

Answer:

p = 5t

Step-by-step explanation:

We'll check by plugging in t = 3 and p has to equal 15

p = 5t     ✅

p = 5(3)

p = 15

3t = 15p ❌

3(3) = 15p

9 = 15p

p = 15/9 = 5/3

p/t = 15 ❌

p/3 = 15

p = 45

p = 1/5t ❌

p = 1/5(3)

p = 3/5

Answer:

d. 4,096

Step-by-step explanation:

i hope this helps :)

Answer:

Median: b

Altitude: c

Angle bisector: a

Perpendicular bisector: d

Step-by-step explanation:

Answer: (from the top) 11, 13, 15, 21

Step-by-step explanation:

2(3)+5 =11

2(4)+5 =13

2(5)+5 =15

2(8)+5 =21

Step-by-step explanation:

This can be done by using the trignometric ratio of tangent in the ∆DEF . The two of its sides along 90° are 7.2 and d .

• In ∆ DEF :-

[tex]\tt\to tan42^o = \dfrac{EF}{ED}\\\\\tt\to tan42^o =\dfrac{d}{7.2}\\\\\tt\to 0.9 = \dfrac{d}{7.2}\\\\\tt\to d =7.2\times 0.9\\\\\tt\to\boxed{\orange{\tt d = 6.48 }}[/tex]

Answer:

a

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

9/2

Step-by-step explanation:

Answer:

B.45

Step-by-step explanation:

60+55=115

180-115=65

65-20=45

Answer: 45°

Answer:

20, 10

Step-by-step explanation:

This sequence is dividing by 2. Therefore, 40 divided by 2 is 20 and 20 divided by 2 is 10

Answer:

it's Answer is option B

Step-by-step explanation:

The new volume is 4 times the old volume

Answer:

Step-by-step explanation:

Angle formed by two chords is the half of the sum of the intercepted arcs:

Answer:

654 grams

Step-by-step explanation:

When you set up this equation you want the number of grams you start with, 2616, and the factor by which it is decreasing, which is half, or 1/2. Because the half life is 11 days, but you want to find the amount left over after 22 days, you can make 22/11 as the exponent on the 1/2. The equation should look like this : 2616(1/2)^22/11. With these kinds of equations you always want to multiply the starting value by the factor of increase/decrease, and raise that factor to the time eclipsed divided by the set time(like the 11 day half life).

Answer: the area of the whole shape is 0.77. hope this helped.

Step-by-step explanation:

Answer:

17 units

Step-by-step explanation:

Given 2 congruent chords in the circle, then they are equidistant from the centre and perpendicular

There is a right triangle formed by legs 15 and 8, with radius r being the hypotenuse.

Using Pythagoras' identity in this right angle

r² = 15² + 8² = 225 + 64 = 289 ( take the square root of both sides )

r = [tex]\sqrt{289}[/tex] = 17

Complete question :

Lower-than-expected demand for LCD TVs has spurred manufacturers to cut prices in recent years. The average price P of a 32-in. LCD TV t years after 2005 can be approximated by P(t) 1052(0.793), where t0 corresponds to 2005 a) What was the average price of an LCD TV in 2005? in 2009? in 2011?

Answer:

1052 ; 416.01 ; 261.61

Step-by-step explanation:

Given the price function :

P(t) = t0(0.793)^t

P(t) = 1052(0.793)^t

Price in 2005 = 1052

The average price of LCD in 2005 is t0

t - t0 = 2005 - 2005 = 0

P(0) = 1052(0.793)^0 ;

P(0) = 1052 * 1 =

Price in 2005 = 1052

Price in 2009 :

t = 2009 - 2005 = 4

P(t) = t0(0.793)^t

P(4) = 1052(0.793)^4

P(4) = 1052 * 0.39534 = 416.0145

Price of LCD in 2009 = 416.01

Price in 2011

t = 2011 - 2005 = 6

P(t) = t0(0.793)^t

P(6) = 1052(0.793)^6

P(6) = 1052 * 0.248679 = 261.6103

Price of LCD in 2009 = 261.61

Answer:

Step-by-step explanation:

Using the Pythagorean theorem, find x:

Answer:

If we take "at random" to mean uniformly at random (which is the typical interpretation when there is no other information given) then the answer is actually FIVE out of eleven (not 4 out of eleven as the other answers give).

In English, the letter Y is considered a vowel when it makes the sound of a long E as it does in the word PROBABILITY. So the vowels are the A, the two I's, the O, and the Y -- a total of five of the eleven letters.

The only thing I have to add is that while "at random" is usually taken to mean uniformly at random, it need not mean this. For example, we could assign the probabilities in such a way that each letter is twice as likely as the letter before it. So "p" would have probability 1/2047 of being selected, "r" would have probability 2/2047, "o" would have probability 4/2047, and so on. Finally "y" would have probability 1024/2047. In this case, we'd add the probabilities of the five vowels to get a total probability of 1346/2047.

Answer:

The probability is 4/12 because there are 5 vowels. Just do the math.

Answer:

20 cm^2

Step-by-step explanation:

A= 1/2 ×height

height = 4 cm

sides S1= 7cm

S2= 3cm

A= 1/2(7+3)4

=5×4

=> 20 cm

hope it helps..

have a great day!!

Answer:

50

Step-by-step explanation:

Alex is 10 years old because he is twice as old as his 5 year old brother. Therefore Alex's father is 50 years old because he is five times older than Alex.

Answer:

(-1, 4)

Step-by-step explanation:

Hope this helps

Answer:

a

Step-by-step explanation: