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3 years ago

How do I answer this dot plot?

Mathematics

1 answer:

Anna11 [10]3 years ago

3 0

It would seem the problem requires you compute the mean, median, and standard deviation of each of the data sets. This is nicely done using the statistics functions of your graphing calculator.

Data Set A (mean, median, standard deviation) = (29.7, 29.5, √12.71)
Data Set B (mean, median, standard deviation) = (27.95, 27, √6.1475)

1. False. Data Set B is skewed to the right.
2. TRUE. 27.95 is within 3 of 29.7.
3. False. √12.71 ≠ √6.1475
4. False. The mean of Data Set A is 29.7.
5. False. Data Set A has the higher standard deviation.
6. TRUE. 29.7 is close to 29.5.

The true statements are
• the 2nd one
• the 6th one

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Watch help video

Marianna [84]

Answer:

It would be C since a scale factor of 2 makes the original A coordinate of (3,3) times 2 therefore the new coordinates being (6,6)

Step-by-step explanation:

4 0

2 years ago

How many solutions does these equations have? One, infinite or no solutions?

s2008m [1.1K]

Answer:

1. 7(y + 3) = 5y+8: one solution

2. 10 + 6x= 2(5+3x): infinite solutions

3. 3x + 5 - x=2x + 7: no solutions

4. 4x - 4 = 2x + 8: one solution.

Explanation:

1. 7(y+3)=5y+8

a) Distributive property of multiplication over addtion:

7y + 21 = 5y + 8

b) Subtraction property of equalities:

7y - 5y = 8 - 21

c) Combine like terms:

2y = - 13

d) Division property of division:

y = - 13/2

e) Conclusion: the equation has one solution.

2. 10 + 6x = 2(5+3x)

a) Distributive property of multiplication over addition:

10 + 6x = 10 + 6x

b) Subtraction property of equality:

6x - 6x = 10 - 10

c) Simplify (combine like terms)

0 = 0

That is an identity, i.e. that is always true, no matter the value of x.

d) Conclusion: the equation has infinite solutions.

3. 3x + 5 - x = 2x + 7

a) Combine like terms:

2x + 5 = 2x + 7

b) Subtraction property of equalities:

2x - 2x = 7 - 5

c) Combine like terms (simplify)

0 = 2

That is always false, no matter the values of x.

d) Conclusion: the equation does not have any solutions.

4. 4x - 4 = 2x + 8

a) Subtraction property of equality

4x - 2x - 4 = 2x - 2x + 8

b) Combine like terms

2x - 4 = 8

c) Addtiion property of equalities:

2x = 8 + 4

d) Combine like terms (simplify)

2x = 12

e) Division property of equalities:

x = 6

f) Conclusion: the equation has one solution

5 0

3 years ago

A sphere has radius of 42 m. If the radius is divided by 6, what is the effect on the surface area? HELP ASAP!

Tatiana [17]

A sphere with radius $r$ has surface area $4\pi r^2$ . Divide the radius by 6 and you get a surface area of $4\pi\left(\dfrac r6\right)^2=\dfrac4{36}\pi r^2$ , so that the final surface area is divided by 36.