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Anon25 [30]
2 years ago
8

A random survey was taken in Centerville. People in twenty-five homes were asked how many cars were registered to their househol

d. The results are shown in the list below. 1, 2, 1, 0, 3, 4, 0, 1, 1, 1, 2, 2, 3, 2, 3, 2, 1, 4, 0, 0, 2, 2, 1, 1, 1 What is the mean, median, and mode of the Centerville data? a. 1.6, 1, 1 c. 1, 1, 1 b. 1.6, 2, 1 d. 2, 2, 2
Mathematics
2 answers:
Ulleksa [173]2 years ago
8 0
In order to find the mean, you first count how many numbers are there. Then, you add all numbers together and divide them by the total of numbers. In this case, you would add (1+2+1+0+3+4+0+1+1+1+2+2+3+2+3+2+1+4+0+0+2+2+1+1+1), which equals to 40. The total of numbers is 25. You divide 40 by 25, and it would get you 1.6. Therefore, your mean is 1.6.

To calculate the median, you list the numbers from least to greatest, and find the middle number. The list for this survey would be 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4. The middle number of this list is 1, therefore, your median is 1.

The mode is simply the number that appears the most in this list. There are 4 zeroes, 9 ones, 7 twos, 3 threes, and 2 fours. The most in this list would be 1, because there are 9 of them. Your mode is 1.

Mean - 1.6
Median - 1
Mode - 1

Answer: A. 1.6, 1, 1


slamgirl [31]2 years ago
3 0

Answer:

A

Step-by-step explanation:

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a ball is thrown with a slingshot at a velocity of 110ft/sec at an angle of 20 degrees above the ground from a height of 4.5 ft.
satela [25.4K]

Answer:

t=2.47\ s  

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

h(t) = h_0 + s_0t -16t ^ 2

Where h_0 is the initial height, s_0 is the initial velocity and t is the time in seconds.

We know that the initial height is:

h_0 = 4.5\ ft

The initial speed is:

s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s

So the equation is:

h (t) = 4.5 + 37.62t -16t ^ 2

The ball hits the ground when when h(t) = 0

So

4.5 + 37.62t -16t ^ 2 = 0

We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

at^2 +bt + c

The quadratic formula is:

t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}

In this case

a= -16\\\\b=37.62\\\\c=4.5

Therefore

t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}

t_1=-0.114\ s\\\\t_2=2.47\ s  

We take the positive solution.

Finally the ball takes 2.47 seconds to touch the ground

4 0
2 years ago
1. Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1,
zzz [600]

Answer:


Step-by-step explanation:

Given that Miguel is playing a game

The box contains 4 chips, 2 with number 1, and other two differntly numbered as 3 and 5.

OUt of these 4, 2 chips are drawn

P(drawing same number) = 2C2/4C2 =\frac{1}{6}

Prob (drawing differnt numbers) = 1-1/6 =\frac{5}{6}

Hence prob of winning 2 dollars = \frac{1}{6}

Prob of losing 1 dollar = \frac{5}{6}

b) Expected value = sum of prob x amount won

= \frac{1}{6}2+\frac{5}{6}(-1)=-\frac{1}{2}

c) Miguel can expect to lose 1/2 dollars for every game he plays

d) If it is to be a fair game expected value =0

i.e. let the amount assigned be s

Then \frac{1}{6}s-\frac{5}{6}=0\\s=5

6 0
2 years ago
Read 2 more answers
Cindy found a collection of baseball cards in her attic worth $8,000. the collection is estimated to increase in value by 1.5% p
Sergio [31]
A]
Exponential function is given by the form:
y=a(b)ˣ
where:
a=initial value
b=growth factor
From the question:
a=$8000, b=1.015, 
thus the exponential growth function of this situation is:
y=8000(1.015)ˣ

b] The value of the collection after 7 years will be:
x=7 years
Using the formula:
y=8000(1.015)ˣ
plugging the values we get:
y=8000(1.015)⁷
y=8,878.76

Answer: $8,878.76
7 0
2 years ago
8. Peter and his partner are conducting a physics experiment on pendulum motion. Their 30-cm
katrin2010 [14]

Answer: 90/pi degrees

Step-by-step explanation:

It forms a 15cm arc from a circle of radius 30 cm.

The diameter is 30*2*pi = 60pi cm. So the arc is 15/60pi = 1/4pi of the way around a 360 degree circle. This is 1/4pi * 360 = 90/pi degrees.

Hope that helped,

-sirswagger21

8 0
2 years ago
at the game, mrs. burns spent $45 for 4 soft pretzels, 3 bags of peanuts, and 8 bottles of water for snacks for the family. a bo
Irina18 [472]

Answer:

<u>The correct statements are A. The cost of a bottle of water is p – 0.75, C. The cost of a soft pretzel is $3.25. and D. The cost of a bag of peanuts is $4.00.</u>

Step-by-step explanation:

1. This is the information given to solve the case:

Amount spent by Mrs. Burns at the game = US$ 45

Detailed purchase done by Mrs. Burns = 4 soft pretzels, 3 bags of peanuts and 8 bottles of water.

Price of soft pretzel = p

Price of bag of peanuts = p + US$ 0.75

Price of bottle of water = p - US$ 0.75

2. This is the equation for solving the case:

4p + 3(p + 0.75) + 8(p - 0.75) = 45

4p + 3p + 2.25 + 8p - 6 = 45

4p + 3p + 8p = 45 + 6 - 2.25

15p = 48.75

p = 3.25

<u>The price of a soft pretzel is US$ 3.25, of a bag of peanuts is US$ 4 (3.25 + 0.75) and of a bottle of water is US$ 2.50 (3.25 - 0.75).</u>

3. Now, we have all the information necessary to analyze the statements.

A. The cost of a bottle of water is p – 0.75.<u> It's correct</u>.

B. The equation that represents this scenario is (p – 0.75) + (p – 0.75) + p = 45. <u>It's false.</u>

C. The cost of a soft pretzel is $3.25. <u>It's correct.</u>

D. The cost of a bag of peanuts is $4.00.<u> It's correct.</u>

E. The cost of 8 bottles of water is $26.00. <u>It's false. (8 * 2.50 = 20)</u>

<u>The correct statements are A. The cost of a bottle of water is p – 0.75, C. The cost of a soft pretzel is $3.25. and D. The cost of a bag of peanuts is $4.00.</u>

5 0
2 years ago
Read 2 more answers
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