The brain volumes ​(cm3​) of 20 brains have a mean of 1162.5 cm3 and a standard deviation of 126.7 cm3. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such​ data, would a brain volume of 1405.9 cm3 be significantly​ high?

Answers

Answer 1

Answer:

No, the brain volume of 1405.9cm³ would not be significantly high.

Step-by-step explanation:

We would use the Empirical rule to determine the answer for this question.

The empirical rule - formula states that:

a) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ

b) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ

The question asks us to use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high.

The range rule of thumb tells us that the range is four times the standard deviation. So we say that the usual values will be 2 standard deviations away from the mean of the data distribution.that the values are usually within 2 standard deviations from the mean.

Hence, μ = mean =1162.5 cm³

σ = Standard deviation = 126.7 cm³

μ – 2σ

1162.5 cm³ - 2(126.7 cm³)

= 1162.5 cm³ - 253.4 cm³

= 909.1cm³

μ + 2σ

1162.5 cm³ + 2(126.7 cm³)

= 1162.5 cm³ + 253.4 cm³

= 1415.9cm³

From the calculation above, we can see that for such​ data, 1405.9 cm³ is within the lower limits of 909.1 cm³ and the higher limits of 1415.9 cm³. Therefore the brain volume of 1405.9 cm³ would not be significantly high.


Related Questions

Find the value of x.

Answers

Answer:

x=20°

Step-by-step explanation:

This is actually simpler than it seems. Try redrawing (or maybe just imagine) that the only inscribed angle is x with the two lines going to the 40°. If we let 40°=θ, then: x=θ/2

This is actually true for any situation with inscribed angles, so you could use this to find w, y, and z as well.

Anyways x=(40°)/2=20°, so x=20°

Vishal was interested in the relationship between a person's age and their musical preferences. He called all
the numbers listed in his city's telephone directory, and whenever someone answered and agreed to be
surveyed, he asked them for their age and interviewed them about their musical preferences.
Once he was done, he analyzed his results and found that younger people prefer pop and hip-hop music
while older people prefer jazz and classical music.
What type of statistical study did Vishal use?
Choose 1 answer:
Sample study
Experiment
Observational study

Answers

Answer:

Sample study

Step-by-step explanation:

Sample study is a type of statistical study that is done by taking samples from respondents for any research purpose.

In this type of statistical study, a group of people are selected and asked some questions or data collected.

The type of statistical study that Vishal used was Sample Study because he collected data from a group of respondents to arrive at a hypothesis.

Vishal study of relationship between people's age & musical preferences is 'Observational Statistical Study'

Given : Vishal approached all people in city, enquired willing ones about age & musical preferences, & analysed conclusion thereafter.

Vishal used Observational Statistical Study, as :

Sample study denotes - component step of choosing few representatives ie sample units from all ie population units. It is a part of all statistical studies, & not a type of study in itself. Observational Study - involves studying the sample units in natural uncontrolled or un intervened setup , based on the variable/ traits or relationship study needed by nature of study. Experimental Study - involves studying & analysing variables traits or relationships, in manipulated, controlled or artificially treated experiment setup.

Vishal collects sample from his city & studies them as it is, without any artificial intervention. Hence this natural enquiry based study of age & musical preferences is Observational Study

To learn more, refer https://brainly.com/question/10025402?referrer=searchResults

Afish is swimming 102 feet below the surface of the water i fer descents another 125 What subtraction expression can be used to find the new postiosoittee What is the position of the fish in relation to the surface of the state​

Answers

You would simply do -102-125 to give -227 feet below the surface

The following quadratic equations can be solved by extracting square roots x²=36​

Answers

Answer:

x= 6

Step-by-step explanation:

you can do 6 squared, which is also equal to 6 x 6

1. Set A represents rational numbers. Set B represents integers. Which diagram shows
the numbers placed in the correct
sets?
Set A
Set A
1.5
1
10
3
3.1
С
Set B
Set B
-12
Set A
Set A
7.1
10
2
win
mi
B
D
Set B
Set B
-3.4
-6.8

Answers

Answer: Choice C) Upper right corner (aka northeast corner)

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

Explanation:

Rational numbers are ones where we can write as a fraction of two integers. Any rational number is in the form a/b where a,b are integers and b is nonzero.

Terminating decimals can be written as a rational number. Something like 3.1 is equivalent to 31/10.

Of the four answer choices, only choice C is correct.

Choice A has the value '3' as a rational number, but it doesn't have it in the set of integers as well. So that's why choice A is incorrect.

Choice B has -3.4 in the set of integers, which is not correct. Integers do not have any decimal portion. The same applies to choice D also. We can rule choices B and D out.

Solve for x and check: 1/2x - 3 =25

Answers

Answer:

14

Step-by-step explanation:

Step 1:

1/2x - 3 = 25

Step 2:

1/2x = 28

Answer:

x = 14

Hope This Helps :)

7/8 + (-3/4) + (-7/-8)+ 3/4

Answers

Answer:

1.75 or  1  3/4

Step-by-step explanation:

7/8 + (-3/4) + (-7/ -8)+ 3/4

Simplify

7/8 -3/4 -7/-8 +3/4

We can get rid of -3/4 + 3/4, because together they = 0.

7/8 - 7/-8

So then we divide and subtract and get

1.75 or 1 3/4

Order the following from least to greatest. 0.208, 0.0769, 0.546, 0.317, 0.00998​

Answers

0.00998, 0.0769, 0.546, 0.317, 0.208

An ordinary 52-card deck is thoroughly shuffled. You are dealt four cards. (a) What is the probability that all four cards are sevens. (b) What is the probability that at least one of the cards is a seven. (c) What is the probability that none of them are seven. (d) What is the probability that two out the four cards is a seven

Answers

Answer:

a) The probability of getting a seven is 4/52

b) At least one of the cards is a seven=0.2813

c) The probability that none of them are seven=  0.7187

d) The probability that two out the four cards is a seven= 0.043

Step-by-step explanation:

A deck contains 52 cards containing 4 sets of 13 cards . Each set has a seven card in it. Thus there are 4 seven cards in a deck of 52 cards.

a) The probability of getting a seven is 4/52=0.0769

b) At least one of the cards is a seven=

1- P(no seven)

= 1- 4C0 * 48C4/ 52C4= 1- 0.7187= 0.2813

c) The probability that none of them are seven=4C0 * 48C4/ 52C4=  0.7187

d) The probability that two out the four cards is a seven= First card is seven * second Card is seven * two cards are not seven

= 4/52* 3/51*48/50= 0.0769*0.0588*0.96= 0.043

Find the range of the given data set.

-4, -3, -1, -1, 0, 1

Answers

Answer:

5

Step-by-step explanation:

To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

To draw graph of 4x + 5y = 19, Find y when x = 1​

Answers

4(1) + 5y = 19
4 + 5y = 19
5y = 19 - 4
5y = 15
y = 15/5
y = 3

Natalie wants to rent a car for the day. She only has $48 total to spend. There is a flat fee (one-time fee) of $26 for the day. In addition to the flat fee, there is a charge of $0.75 per mile. How many miles can Natalie drive?

Answers

$48 -26 = 22
$22.00 divided by .75= 29.333
Rounding it would be 29 miles or 29 1/3 miles.
If you multiply 29.333 x 22 = 26.

An employment agency sells its services to companies

Answers

Explain a little further?

Which equation represents the function described by this table?

f(x)=x+7
f(x)=x−7
f(x)=7x
f(x)=−7x

Answers

Answer:

F(x)=x+7  the answer is A

Step-by-step explanation:

You can see the table is adding positive 7 to each number on the X column because -8+7=-1, -2+7=5, 5+7=12, 7+7=14. I PROMISE ITS RIGHT :)

Find the unknown angles.​

Answers

Step-by-step explanation:

70°+70°+a°=180°

a°=180°-140°

a°=40°

p°=70° (vertically opposite angle)

q°=70°(alternate interior angles)

hope it helps

Find a2 and a3. a1=–5 an=6an–1 Write your answers as integers or fractions in simplest form. a2= a3=

Answers

you have to minus the 1 from the 6am

The value of a2 and a3 given the formula an = 6an – 1 are -61 and -91 to respectively

Given:

an = 6an – 1

where,

a1, = first term= -5

n = number of terms

a2 = second term

a3 = third term

an = 6an – 1

a2 = (6 × -5 × 2) - 1

= (-60) - 1

= -60 - 1

a2 = - 61

an = 6an – 1

a3 = (6 × -5 × 3) - 1

= -90 - 1

a3 = -91

Therefore, the value of a2 and a3 are -61 and -91 respectively

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Two pounds of sugar cost $1.40. How much sugar do you get per dollar? Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

1.429 lbs per dollar of sugar

Step-by-step explanation:

multiply by 5 get 10 lbs of sugar for 7 dollars divide by 7 get 1.4285 round up

Based on the cost of two pounds of sugar, we can calculate the quantity of sugar to a dollar to be 0.7 pounds.

Sugar per dollar

You can find out the quantity of sugar you get per dollar using the formula:

= Price of sugar / Number of pounds

Solving gives

= 1.40 / 2

= 0.7 pounds

In conclusion, you get 0.7 pounds.

Find out more about cost per unit at https://brainly.com/question/24398532.

Which statement best explains why Ben uses the same width to draw arcs from A and B which intersect at S?

Answers

Answer:<AQS BQS WHEN AS =BS AND AQ = BQ

Step-by-step explanation:

Answer: AQS BQS WHEN AS =BS AND AQ = BQ

Step-by-step explanation:

Took the test!

Andy is hanging wallpaper

Answers

Answer:

Mandy is painting the wall

Solve for x. 9x=288

Answers

Answer:

x = 32

Step-by-step explanation:

9x=288

divde both side by 9


There are 868 males students and
1,187 female students at Ferris
High School. How may more female
students are there than male
students? Show your work.​

Answers

319 females
1187-868 =319

please show work 3[x+4]+4x= -2

Answers

Answer:

x=-2

Step-by-step explanation:

3[x+4]+4x=-2

The 3 multiplies x and 4

3x+12+4x=-2

Group like terms

3x+4x=-2-12

7x=-14

Divide through by 7

7x/7=-14/7

x=-2

How would you write an explanation for a, b, and c? Mississipi is the data point on the upper left that is an outlier

Answers

Step-by-step explanation:

a. Your answer is correct.  The trend is that obesity rate increases with the number of fast food restaurants per capita.  Since Mississippi has a high obesity rate and number of fast food restaurants per capita, it goes against the trend.  It is an outlier in terms of the relationship.

b. The number of restaurants per capita is between 2 and 6 for most states.  Mississippi's number of restaurants per capita is within this range, so it is not an outlier.

c. The obesity rate is between 22 and 38 for most states.  Mississippi's obesity rate is within this range, so it is not an outlier.

does rational numbers, irrational numbers, integers or whole numbers have the fewest numbers

Answers

Answer:

Whole Numbers

Step-by-step explanation:

whole numbers are just the counting numbers starting from zero: 0,1,2,3...

integers are whole numbers with negatives: ...-3,-2,-1,0,1,2,3...

rational numbers are any numbers that can be expressed as fractions:

2/3, 5, -3, -12/3,4,5,0....

irrational number are numbers that can't be expressed as fractions, which means that they are never-ending decimals.

Hope this helps!

d(n) = 6 - 4(n - 1) find the 5th term in the sequence

Answers

d(n) = 6 - 4(n - 1)

Plug 5 into the equation for n.

d(5) = 6 - 4(5 - 1)

Subtract 1 from 5

d(5) = 6 - 4(4)

Multiply 4 by 4

d(5) = 6 - 16

Simplify the right side

d(5) = -10

The fifth term in the sequence is -10

The 5th term of the sequence is -10.

What is a sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given is a sequence, d(n) = 6 - 4(n - 1)

To find the 5th term, put n = 5

d(5) = 6-4(5-1)

= 6-4×4

= 6-16

= -10

Hence, the 5th term of the sequence is -10.

For more references on sequence, click;

https://brainly.com/question/19819125

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what value of x the given expression is undefined x+4/x-4​

Answers

Answer:

At x= 4 the given expression is undefined.

Step-by-step explanation:

In a given function , if the denominator becomes zero then the function is undefined.

Here, denominator is x-4 so at x = 4 it will become zero. So we can say that at x=4 , the function is undefined

Help me with this questions please, brainiest reward

Answers

Answer:

theres no questions

Step-by-step explanation:

Michael spent $18 at a local farmers’ market. Apples cost $2 each and peppers cost $3 each. Select the equation that represents the scenario. O) p = 2a + 3a + 18 O) 2a + 3a = 18p O) 2p + 3a = 18 O) 2a + 3p = 18

Answers

Answer:

its B, C and E

Step-by-step explanation:

on edge

Answer:

2a + 3p = 18

Step-by-step explanation:

The total has to equal 18 so then you have $2 and $3. Apples cost $2 so the 2 should have an a for Apples. The peppers cost $3 so the 3 should have a p for peppers. So the equation would be 2a + 3p = 18.

One rectangle is divided into 4 parts how much is one part

Answers

Obviously 1/4.
Thank you!

This question is unanswerable unless the answer is 1/4 rectangle.

which sign makes the statement true?

Answers

Answer:

Less than sign

Step-by-step explanation:

3/4 is greater than 3/5 because its 3 out of 4 making it 75% and 3/5 is 60%

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