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2 years ago

5

Ariel wrote a total of 4 pages over 2 hours. How many hours will Ariel have to spend writing this week in order to have written

a total of 8 pages? Solve using unit rates
please help I need right now and explain I don't get it after diving 4 and 2

1 answer:

Pachacha [2.7K]2 years ago

3 0

Your answer is 1

Step-by-step explanation:

4=2

8=?

4÷8×2

=1

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Compute the standard deviation for the set of data.<br><br> 13.3, 14.3, 15.3, 16.3, 17.3

Gennadij [26K]

<h3>Answer: Choice A) sqrt(2)</h3>

==========================================

Explanation:

Add up all of the values

13.3+14.3+15.3+16.3+17.3 = 76.5

Then divide by 5 as there are n = 5 values in the set given

76.5/5 = 15.3

The mean of this data set is 15.3

-------------

Subtract the mean from each value to get this list of differences

x1 - mean = 13.3 - 15.3 = -2

x2 - mean = 14.3 - 15.3 = -1

x3 - mean = 15.3 - 15.3 = 0

x4 - mean = 16.3 - 15.3 = 1

x5 - mean = 17.3 - 15.3 = 2

-------------

Square each result from the previous section

(-2)^2 = 4

(-1)^2 = 1

(0)^2 = 0

(1)^2 = 1

(2)^2 = 4

Then add up those results

4+1+0+1+4 = 10

This is the sum of the squared differences.

------------

Divide the sum of the squared differences by n = 5 to get 10/5 = 2

The population variance is 2

The population standard deviation is the square root of this, so we get sqrt(2) as our final answer.

------------

Side note: This data set was fairly small, so computing the standard deviation by hand wasnt too painful. When it comes to larger data sets, it is smarter to use a spreadsheet program to easily calculate the answer. The drawback is that you wont be able to get an exact answer in terms of radicals (then again you could always use a CAS, which stands for "computer algebra system").

6 0

3 years ago

A waterfall has a height of 1900 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 12 feet p

saw5 [17]

Answer:

Step-by-step explanation:

h is the height of the pebble after a certain amount of time has gone by. Since we are told to find that time when the pebble is on the ground, we say that h = 0 since the height of something on the ground has no height at all. Then factor the quadratic.

$-16t^2+12t+1900=0$

Throw that into the quadratic formula or however you were taught to factor irrational quadratics (maybe completing the square?) to get that

t = 11.27869 sec and t = -10.52869 sec

Since we all know that time will never carry a negative value, we will disregard it and go with 11.27869 seconds. Not sure to where you are told to round.

7 0

3 years ago

MZTRI = 3x - 5, mZIRB = x + 27,<br> and mZTRB = 86. Find the mZTRI.

denis23 [38]

Answer:

m∠TRI = 43

Step-by-step explanation:

m∠TRI + m∠IRB = m∠TRB

3x - 5 + x + 27 = 86

3x + x - 5 + 27 = 86 {Combine like terms}

4x + 22 = 86 {Subtract 22 from both sides}

4x = 86 - 22

4x = 64 {Divide both sides by 4}

x = 64/4

x = 16

m∠TRI = 3x - 5

= 3*16 - 5

= 48 - 5

= 43

7 0

3 years ago

Robert found a game spinner that was not completely labeled. The spinner is shown at right. Help Robert figure out what fraction

Paul [167]

Step-by-step explanation:

Where is the image of the spinner shown?

5 0

2 years ago

Help me please I have no idea on how to do this. Thanks

andriy [413]

1) P=2w +2l
46=2w +14
32=2w
16= w or width

2) A=lw
A=7 x 12
A= 84

3) A= 12 x 21
A= 252

6 0

3 years ago