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blagie [28]
2 years ago
12

In a sample of n = 6 scores, 5 of the scores are each above the mean by one point. Where is the 6th score located relative to th

e mean?
Mathematics
1 answer:
den301095 [7]2 years ago
3 0

The mean of a dataset is the sum of all data elements divided by the count of the elements.

The location of the 6th score relative to the mean is 5 points below the mean

Let:

\bar x \to<em> Mean</em>

a \to<em> 5 scores</em>

b \to<em> 6th scores</em>

Given that:

n = 6

The 5 scores that are 1 above the mean implies that:

a = \bar x + 1

The mean of a dataset is calculated using:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x =\frac{5a + b}{6}

\bar x =\frac{5(\bar x + 1) + b}{6}

Open brackets

\bar x =\frac{5\bar x + 5 + b}{6}

Multiply both sides by 6

6\bar x =5\bar x + 5 + b

Make b the subject

b = 6\bar x -5\bar x - 5

b = \bar x - 5

This means that the 6th score is 5 points below the mean

Read more about mean at:

brainly.com/question/17060266

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Please help!
Aleks [24]

Answer:

Probability of picking an even and then even number = \frac{1}{6}

Step-by-step explanation:

Probability of picking a card with even number,

P(even 1) = \frac{\text{favorable outcomes}}{\text{Total outcomes}} = \frac{\text{even cards}}{\text{Total number of cards}}

               = \frac{2}{4}

               = \frac{1}{2}

Followed by picking a card which is even without putting the first card back.

So an even card is to be picked out of remaining 3 cards.

P(even 2) = \frac{\text{favorable outcomes}}{\text{Total outcomes}}

                = \frac{1}{3}

Now probability of both events = P(even 1) × P(even 2)

= \frac{1}{2}\times \frac{1}{3}

= \frac{1}{6}

Therefore, probability of both the events will be \frac{1}{6}.

5 0
3 years ago
Saturn's average distance from then sun is about 900 million miles.what is that distance in scientific notation?
IRINA_888 [86]
900,000,000. move the decimal until you have a number between 1-10 so move it 8 times and you'll have 9×10^8
3 0
3 years ago
Cindy has a chocolate box whose length is 12 cm, height of 8 cm, and width of 6 cm. Find the volume of the box?
DerKrebs [107]

Hello there I hope you are having a great day :) Cindy has a chocolate box whose length is 12 cm, height of 8 cm, and width of 6 cm. Find the volume of the box?

V = L x W x H

Volume = length x Width x Height.

12cm x 6cm x 8cm = V = 576cm^3

so the answer is 576cm^3

Hopefully that helps you :)

5 0
2 years ago
Read 2 more answers
can someone please tell me how to do 2x=3y and 4x-3y=12 using substitution to solve the system of equations.
maw [93]

Answer:

Step-by-step explanation:

you divide the two to the y, which is x=3/2y

then, you simplify the second equation to y, which is -3y= -4x+12

then, you substitute the x=3/2y into the second equation,

-3y = -6+12

-3y = 6

y = -2

Substitute the y into the first equation, x= 3/2y,

x = -3

5 0
3 years ago
A barrel of tomato sauce has spilled on a tile floor. The sauce flow can be expressed with the function r(t) = 2t, where t repre
IrinaVladis [17]
For the answer to the question above, I'll show my solution for the answer below.
Area A = pi r^2 
<span>The rate of change of area = d A/ d t = 2 pi r d r/d t </span>
<span>r= 2t, d r = 2 d t </span>
<span>This gives </span>
<span>d A/ d t = 2 pi 2t 2 d t = 8 pi t dt </span>
<span>Integrate it </span>
<span>A= 4 pi t^2. </span>
<span>After t=5, the area will be 100* 3.14 square= 314 square units.</span>
3 0
3 years ago
Read 2 more answers
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