The line plot above shows the height of the baby giraffes at the zoo. What is the difference in height (in inches) between the shortest and the tallest baby giraffes?​

Answer:

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04

Step-by-step explanation:

Given the data:

3 5 6 7 7 8 8 8 9 9 9 10 102

Ordered data: 3, 5, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 102

The interquartile range (IQR) for the data:

IQR = Q3 - Q1

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 26.3

Correcting error in the data:

3 5 6 7 7 8 8 8 9 9 9 10 10.2

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 2.04

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04

Answer:

27

Step-by-step explanation:

Answer:

m = -8

Step-by-step explanation:

have a nice day! :)

Answer:

From this quation:

4m = -32

We need to get m, so we can divide both sides by 4:

4m / 4 = -32 /4

m =  -8

You can try to replace it to see if it's correct:

4 * 8 = -32

Answer: 0.47

Step-by-step explanation:

0.47% = 0.0047 in decimal form. Percent means 'per 57'. So, 67Inches means 0.47 per 100 or simply 0.47/100. If you divide 0.47 by 100, you'll get 0.0047 (a decimal number).

Answer:

29

Step-by-step explanation:

Finding the perimeter consists of adding all sides together. thus 4+10+15=29

The perimeter of a triangle whose sides are 4z units, 10 units, and 15 units,  29 units

Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.

Perimeter = Sum of length of the all the sides

Given that,

The length of sides,

4 units

10 units

15 units

Perimeter = ?

Perimeter  = Total sum of lengths of sides

                 =   4 + 10 + 15

                 =    29 unit

Hence, the perimeter is 29 unit

To know more about Perimeter check:

https://brainly.com/question/6465134

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Answer:

18

Step-by-step explanation:

This is a 5 sided shape, aka a pentagon, and we know that five sided shape's angles add up to 540, so our equation is:

(9x-6)+(3x+23)+95+(7x-4)+90=540.

Combine like terms:

We get 25x+90=540

x = 18

Answer:

$20 + (1.75 * p)

Step-by-step explanation:

This is just a guess hope this is correct.

Hope this helps! :)

Answer:

63 girls.

Step-by-step explanation:

45 boys divided by 5= 9

9x7= 63 girls

2 L + 2 W = 580

W = L - 30

2( L - 30) + 2 L =580

2L - 60 + 2 L =580

4 L = 640

L = 160

W = 160-30= 130

160 × 2 + 130 × 2 = 580

Answer: 40/9

Step-by-step explanation:

First multiply the number 4 and the denominator 9 together which is 36 in this case. Then add the remaining 4 which takes you to 40 then the denominator will stay the same so the answer will be 40/9

Answer:

-3x-3

Step-by-step explanation:

We want our equation to look like this

y=mx+b

we know that m= -3 so we just need to find b

We can start by plugging in the ordered coordinates into our equation

3=(-3)(-2)+b

Solve for b

3=6+b

b= -3

Which means our final equation is

y= -3x-3

Answer:

[tex]V=343\,\,cm^3[/tex]

Step-by-step explanation:

Recall that fractional exponents are other form of representing roots.

In our case, the formula for the volume of the cube in terms of area of a face, is also written as:

[tex]V=A^\frac{3}{2} =(\sqrt{A} )^3[/tex]

which for the case of a cube with face area of 49 cm^2 becomes:

[tex]V=(\sqrt{49} )^3=7^3=343\,\,cm^3[/tex]

Answer:

Step-by-step explanation:

the right choice is C

you use c^2=a^2+b^2

where the largest side is the hypotenuse

Answer:

C.

a triangle with sides measuring 20, 21, and 29

Step-by-step explanation:

As, √(20)²+(21)² = √400+441 = √841 = 29

The longest side is taken as the hypotenuse. So 29 is the hypotenuse. Which by using Pythagoras' theorem gives us 29 ( h=√b²+p² )

Answer:

9 is the composite number.

Step-by-step explanation:

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

Answer:

B. 1.5 inches

Step-by-step explanation:

600/400=3/2=1.5

Answer:

part a is 3500

Step-by-step explanation:

Answer:

80.3

Step-by-step explanation:

20.075 x 4 = 80.3

Hope that helps!

Answer:

just put any number for the answer if im reading it right they should all answer 0

Step-by-step explanation:

hope i helped ;)

Answer: 10 quarts of blue paint for every 2 quarts of green paint

Step-by-step explanation: The graph represents the relationship between the number of quarts of blue paint in the mix, xx and the number of quarts of yellow paint, yy.

The point (2 , 10) on the graph indicates 2 quarts of blue paint for every 10 quarts of yellow paint .

Answer:

 I think its B

Step-by-step explanation:

Answer:

Store B

Step-by-step explanation:

First you need to set up an equation for each store

Store A  (you have 5 pounds of something sold at $x per pound. which together totals $23.49)

[tex]5x=$23.49[/tex]

Store B (you have 8 pounds of something sold at $x per pound. which together totals $36.96)

[tex]8x=36.96[/tex]

Then you want to isolate the x for each equation to find the price per pound. You do this by diving each total cost, by how many pounds that you get.

Store A: $23.49/5 pounds= $4.698

Store B: $36.96/ 8 pounds = $4.62

This gives you a price per pound, so B is the correct answer because B is $0.07 cheaper per pound, giving you the better deal.

Answer:

3/4

Step-by-step explanation:

Answer: it would be 3/4 hope this helps you!!!

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

a) The standard deviation of this sampling distribution is 2.07.

b) The missing number is 4.14.

c) The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.

Step-by-step explanation:

To solve this question, we need to understand the Empirical Rule and the Central Limit Theorem.

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

[tex]\mu = 272, n = 840, \sigma = 60[/tex]

(a) If we take many samples, the sample mean x⎯⎯⎯ varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score μ in the population. What is the standard deviation of this sampling distribution?

Using the Central Limit Theorem:

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{60}{\sqrt{840}} = 2.07[/tex]

The standard deviation of this sampling distribution is 2.07.

(b) According to the 95 part of the 68-95-99.7 rule, 95% of all values of x⎯⎯⎯ fall within _______ on either side of the unknown mean μ. What is the missing number?

Within 2 standard deviations of the mean.

So, 2*2.07 = 4.14

The missing number is 4.14.

(c) What is the 95% confidence interval for the population mean score μ based on this one sample?

Within 4.14 of the mean

272 - 4.14 = 267.86

272 + 4.14 = 276.14

The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.

Answer:

10.44 feet

Step-by-step explanation:

You need to use the Pythagorean Theorem twice.  

First we have to find the diagonal for the base.

6²+8²=x²

36+64=x²

100=x²

√100=x

x=10

Now we can find d.

10²+3²=x²

100+9=x²

109=x²

√109=x

x=10.44 feet

Answer:

7.48

Step-by-step explanation:

find what 6% of 7.95 is and then subtrct that from 7.95 which gives u ur answer