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Gemiola [76]
3 years ago
9

Find the average distance each data value in the set is from the mean. Round

Mathematics
1 answer:
lara [203]3 years ago
3 0

Answer:

the average distance from the mean is:

                       $ 7.2

step-by-step explanation:

we are given data points as:

$7, $20 , $9 , $35 , $12 , $15 , $7 , $10 , $20 , $25 , $7 , $20 , $9 , $35 , $12 , $15 , $7 , $10 , $20 , $25

the mean of the data set is:

now we are asked to find the average distance from the mean or mad of the data.

the absolute difference of each data point from mean is calculated as follows:

|7-16|=9

|20-16|=4

|9-16|=7

|35-16|=19

|12-16|=4

|15-16|=1

|7-16|=9

|10-16|=6

|20-16|=4

|25-16|=9

|7-16|=9

|20-16|=4

|9-16|=7

|35-16|=19

|12-16|=4

|15-16|=1

|7-16|=9

|10-16|=6

|20-16|=4

|25-16|=9

the answer is: $ 7.2

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E^(xy) = 2
(xdy/dx + y)e^(xy) = 0

At point (1, ln2), dy/dx + ln2 = 0
dy/dx = -ln2
3 0
3 years ago
Alison is learning how to walk. 50% of the time that she takes a step she falls down. Her older brother wants to design a simula
MissTica

Answer with explanation:

Alison is learning how to walk.50% of times she takes a step she falls down.

Probability of falling down in next step =\frac{50}{100}=\frac{1}{2}

Probability of not falling down in next step =\frac{50}{100}=\frac{1}{2}

From ,the four option given,we have to find the best simulation which her older brother wants to design a simulation to find the probability that she will fall down 5 out of the next 7 times she tries to take step.

While Simulating the Probability of falling down should be =\frac{5}{7}

And , probability of not falling down1-\frac{5}{7}=\frac{2}{7}

→→⇒F=Falling, NF=Non Falling

A) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die five times.

P(F)=\frac{1}{6},P(NF)=\frac{5}{6}

Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.  

B) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die seven times.

P(F)=\frac{1}{6},P(NF)=\frac{5}{6}

Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.

C) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin five times.

P(F)=\frac{1}{2},P(NF)=\frac{1}{2}

Simulation is done only five times , that is coin has been flipped only five times.it must have been flipped seven times.Incorrect option.  

D) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin seven times.

P(F)=\frac{1}{2},P(NF)=\frac{1}{2}

Simulation is done seven times , that is coin has been flipped seven times.So,she should fall 5 times that is head should appear 5 out of seven times, and tail should appear 2 out of seven times.correct option.

Option D

4 0
4 years ago
Read 2 more answers
Round 613100 to nearest hundreds
Sphinxa [80]

Answer:

613000

Step-by-step explanation:

if the hundred fall on a number and it it less than 5 you will just write or turn it to 0 but if it is more than 5 you will take one from the 5 add it to the number that comes before the number and make the remaining 0

5 0
3 years ago
Consider 4 flips of an unfair coin where probability of heads is 0.40. Consider all tosses independent of each other. (a) Compar
romanna [79]

Answer:

a) 0.0256 = 2.56% probability of 4 heads.

0.1296 = 12.96% probability of 4 tails.

b) The probability is 0.0576 = 5.76%.

c) 6 outcomes given 2 heads in 4 tosses. 0.3456 = 34.56% probability of 2 heads in 4 tosses

Step-by-step explanation:

For each throw, we have these following probabilities:

0.4 = 40% probability of heads.

0.6 = 60% probability of tails.

(a) Compare the probability of 4 heads in 4 tosses and 4 tails in 4 tosses.

4 heads:

4 throws, each with 0.4 probability of heads. So

(0.4)^4 = 0.0256

0.0256 = 2.56% probability of 4 heads.

4 tails:

4 throws, each with 0.6 probability of tails. So

(0.6)^4 = 0.1296

0.1296 = 12.96% probability of 4 tails.

(b) Determine the probability of H T H T in 4 tosses.

H = 0.4, T = 0.6. So

p = 0.4*0.6*0.4*0.6 = 0.0576

The probability is 0.0576 = 5.76%.

(c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)

Number of outcomes:

The possible outcomes are:

H - H - T - T

H - T - H - T

H - T - T - H

T - H - H - T

T - H - T - H

T - T - H - H

6 outcomes given 2 heads in 4 tosses.

Each with probability 0.0576, as found in b)

6*0.0576 = 0.3456

0.3456 = 34.56% probability of 2 heads in 4 tosses

8 0
3 years ago
The mean grade on a test taken by 15 students was 70. When one more student
mixas84 [53]

Answer:

the scorce of the neww student is 72

Step-by-step explanation:

if you have a mean of 70 + 72 as the score then divide by 2 you get 71.

5 0
3 years ago
Read 2 more answers
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