60 POINTS BRAINLIES
PLEASE WORKOUT QUESTIONS a b & c
PHOTO OF GRAPH ATTACHED BELOW

a) Calculate the median number of medals for each medal type, stating the formula you would use for determining the median for the gold medals.


b) Calculate the mean number of medals for each of the 3 medal types, stating the formula you would use for determining the mean for the bronze medals.


c) Calculate the standard deviation of the total medals awarded to each country
(column F) using the formula below.
Show all the steps ( show your work ).

USE the STDEV.P function to cross-check your final answer.

Answer:

The decision rule is

   Fail to reject the null hypothesis

The conclusion is  

     There is sufficient evidence to conclude that the justification against Mr. Jones appears not  to be justified

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu  =  \$ 356[/tex]

    The sample  size is n  =  30  

     The sample mean is [tex]\= x = \$340[/tex]

    The standard deviation is  [tex]\sigma =  \$ 90[/tex]

    The  null hypothesis is [tex]H_o  :  \mu =  \$ 35 6[/tex]

     The alternative hypothesis is   [tex]H_a  :  \mu \ne  \$ 35 6[/tex]

Let assume the significance level is [tex]\alpha = 0.05[/tex]

Generally the test statistic is mathematically represented as

     [tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

=>  [tex]t = \frac{ 340 - 356 }{\frac{90 }{\sqrt{30} } }[/tex]

=>  [tex]t =-0.9737 [/tex]

Generally the sample size from the question is  small that it is not greater than 30  hence we use t-test

Now the degree of freedom is mathematically represented as

     [tex]df =  n- 1[/tex]

=>   [tex]df =  30- 1[/tex]

=>   [tex]df= 29[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value =  2 P (t >  -0.9737 )[/tex]

Generally from the t-distribution table , the probability of -0.9737 at a degree of freedom of  [tex]df= 29[/tex] for a two -tailed  test  is

     [tex]P (t >  -0.9737 ) =  0.33825793[/tex]

Hence p-value  is  

     [tex]p-value =  2*0.33825793[/tex]

      [tex]p-value =  0.676 [/tex]

From the value we obtained we see that  [tex]p-value  >  \alpha[/tex] hence

The decision rule is

   Fail to reject the null hypothesis

The conclusion is  

     There is sufficient evidence to conclude that the justification against Mr. Jones appears not  to be justified

Answer:

70%

Step-by-step explanation:

Answer:

inconsistent

Step-by-step explanation:

Answer:

inconsent

Step-by-step explanation:

Answer:

A and D.

Step-by-step explanation:

A sequence is a set of the objects or numbers in a specific order. It is a function whose domain is a set of natural numbers or non-negative integers i.e. {1, 2, 3,..}

(A)

"An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers."

The general form an arithmetic sequence is:

[tex]a_{n}=a_{1}+(n-1)d[/tex]

The function is linear. The sequence consists of either numbers that are increasing or decreasing based on the value of d, the common difference.

So, the statement provided is True.

(D)

"A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers."

The general form an geometric sequence is:

[tex]a_{n}=a_{1}\cdot r^{n-1}[/tex]

The function is exponential. The sequence consists of either numbers that are exponentially increasing or decreasing by the factor r, the common ratio.

So, the statement provided is True.

Answer:

3 + 6 = 9

6 + (-4) = 2

Step-by-step explanation:

Answer:

9 and 2

Step-by-step explanation:

3 + 6 =

9

6 + (-4) =

6-4=

2

Answer:

81

Step-by-step explanation:

I just looked it up :)

Answer:

27

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

14 1/6

Step-by-step explanation:

7(1/3)+ 9(2/6)= 16(2/3)

16(2/3)

16(2/3)-2(1/2)= 14(1/6)

Answer:

14 1/6

Step-by-step explanation:

7 + 9  =16

convert 2/6 = 1/3

1/3 +1/3=2/3+16=

16 2/3 -2 1/2=

Answer:

Step-by-step explanation:

7- is (0,1)(1,3)

8- is(-3,0)(-3,0)

Answer:

m = (y2 -- y1) / (x2 -- x1)

Step-by-step explanation:

Answer:

2000

Step-by-step explanation:

5*50=250 mg

250*4=1000 mg

1000*500=500 m

4*500=2000

It would take 2,000 ants to hoist a 500-gram bag of sugar.

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Given, most ants can lift 50 times their own weight.

also given every ant has 5 mg weight.

So, 1 ant can lift = 5mg * 50 = 250mg

Since 1 gram has 1000 mg

Ant can lift = 1/4 grams

thus,

1/4 gram of sugar can be lifted by = 1 ant

1 gram of sugar can be lifted by = 4 ant

500 grams of sugar can be lifted by = 4 * 500 ant = 2000 ants

Therefore, 2000 ants would it take to lift a 500-gram bag of sugar.

Learn more about proportionalities here:

https://brainly.com/question/3254974

#SPJ2

Answer:

2/7

Step-by-step explanation:

Answer:

3/5 * 10/21= 2/7

Answer:

SI=PTR/100

= 1000×5×10/100

=$500

Parker will receive $500 as interest.

Amount=$500+$1000

=$1500

Parker will have $1500 altogether.

Answer:  The average is 2.6

Step-by-step explanation:

The average is the same as the mean  so to find the mean of the numbers add them up and divide it by the number of values.

(4) + (-8) + (6) + ( 14) + (-3) = 13

13/5 = 2.6

Answer:

4%

Step-by-step explanation:

Answer:

4% hope this helps

Step-by-step explanation:

Answer:

645/100 = 129/20 or 6.45

645/50 = 129/10 or 12.9

48.6/30 = 1.62

48 divided by x = 48.6/x

Step-by-step explanation:

645/100

Factor the number:

= 5*129/100

Factor the number:

= 5*129/5*20

Cancel the common factor:

= 129/20

645/50

Factor the number:

5*129/50

Factor the number:

5*129 / 5*10

Cancel the common factor:

= 129/10

48.6/30

Write the problem in long division format

Multiply the quotient digit (1) by the divisor (30)

Subtract 30 from 48

Add a decimal and bring down the next number

Divide 186 by 30 to get 6

Continue...A few steps later...

Subtract 60 from 60

Solution is 1.62

48.6/x

Re-write division as a fraction:

48.6/x

Answer:solution

Step-by-step explanation:

An ordered pair that satisfies all the equations in a linear system of equations is called a: solution of the linear system.

A linear function is a function that has a positive relationship between its variables.

Hence, an increase in one variable (input variable) causes an increase in the other variable (output variable) because the variables are directly proportional.

Mathematically, the graph of a linear function is a straight-line and its slope is always constant.

On a related note, a linear system of equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.

Generally, a system of linear equations in two variables must have at least two solution.

In conclusion, a solution of the linear system is an ordered pair that satisfies all the equations in a linear system of equations.

Read more: https://brainly.com/question/24085666

Answer: You can divide a number by a fraction by flipping over the fraction and multiplying them together.

Step-by-step explanation:

For example:

Lets say we wanted to divide 8 by 3/4

8÷[tex]\frac{3}{4}[/tex]

Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase Copy Dot Flip - Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)

8 ·[tex]\frac{4}{3}[/tex]

Now, just multiply and reduce/simplify the fraction if needed

Final answer is [tex]\frac{32}{3}[/tex], no need to simplify or reduce

Hope that helps!!

Answer:

18k^2+2m^2+20km

Step-by-step explanation:

Answer:

30+15+12+3=  60

for mammal 30/60=0.50%

reptile 15/60=0.25%

fish  12/60= 0.20%

bird 3/60=0-05%

i hope that helps

Answer:

B. P(B/A)=P(B)

Answer:

4.50

Step-by-step explanation:

2.25 plus 2.25 aka half

Answer:

lovely peachlings

Step-by-step explanation:

Answer: 2/7

Step-by-step explanation:The slope of perpendicular lines are opposite reciprocals

Answer:

1) A is a cat; B is a dog; C is a cat; D is a dog; E is a dog; F is a cat

2) A lives with B in a yellow house; C lives with D in a blue house; E lives with F in a red house.

Step-by-step explanation:

Step 1: First we identify the animals as cats or dogs

A is a cat

B is a Dog

Since B can live with C, C is a cat

Since D can live with A, D is a dog

F is a cat since it can live with D

E is therefore, a dog

Step 2: We then identify the house each two animals live in pairs of a cat and a dog

D lives in a blue house

A lives in a yellow house since it does not live with D or in a red house

C lives with D in a blue house since D does not live with either A or F

E lives in a red house since it does not live with A or in a yellow house

F lives with E in a red house since E does not live with A

Therefore, B lives with A in a yellow house

Answer:

39

Step-by-step explanation:

-3x(-13) = 39.

If this question was asking for something different I apologize.