The observations X1, . . . , Xn have a mean of 52, a median of 52.1, and a standard deviation of 7. Eight percent of the observations are greater than 66; 7.9% of the observations are below 38. Based on this information, which of the following statements best describes the data?

a. The distribution has positive skew.
b. The distribution has negative skew.
c. The distribution has high kurtosis.
d. The distribution conforms to a normal distribution.

Answers

Answer 1

Answer:

d. The distribution conforms to a normal distribution.

Step-by-step explanation:

A normal distribution is when data has equal symmetry such that the distribution is not positive skewed nor negative skewed. A normal distribution has zero skewness as mean, median and mode are all equal.

In the above example, the data has a normal distribution because most values lie close to the mean(7.9 percent are less than 38 and 8 percent are more than 66)


Related Questions

WORTH: 40 POINTS ANSWER ALL OF THESE IN ITS SIMPLEST FORM (FRACTION)
A: 2/3 divided by 3
B: 6/7 divided by 3
C: 2/5 divided by 4
D: 5/6 divided by 5
E: 10/8 divided by 5
F: 4/7 divided by 4
G: 5/8 divided by 10
H: 20/6 divided by 2

(I WILL REPORT YOUR COMMENT IF YOU COMMENT RANDOM THINGS JUST TO GET POINTS LIKE DHSHRBABDB)​

Answers

Answer:

2/9, 2/7, 1/10, 1/6, 1/4, 1/7, 1/16, 5/3

Step-by-step explanation:

A: 2/3 divided by 3

2/3 : 3 = 2/3*1/3 = 2/9

B: 6/7 divided by 3

6/7 : 3 = 6/7 *1/3 = 2/7

C: 2/5 divided by 4

2/5 : 4 = 2/5*1/4 = 1/10

D: 5/6 divided by 5

5/6 : 5 = 5/6*1/5 = 1/6

E: 10/8 divided by 5

10/8 : 5 = 5/4 * 1/5 = 1/4

F: 4/7 divided by 4

4/7 : 4 = 4/7*1/4 = 1/7

G: 5/8 divided by 10

5/8 : 10 = 5/8*1/10 = 1/16

H: 20/6 divided by 2

20/6 : 2 = 10/3 * 1/2 = 5/3

Please will give brainliest and thanks for the problems

Answers

Same I can’t see the picture

tue/false
The Place valueof Thedigit 5 in 26,59,360 in Ten Thousand​

Answers

Answer: True.

Step-by-step explanation:

Here we have the number:

26,59,360

To find the place value of the 5, we first need to count the number of decimals at the right of the 5 (until we reach the decimal point)

For this case, at the left of the 5 we have 4 decimals (9, 3, 6 and 0)

Then the place value of the 5 in that number will be 10^4

this is equal to:

10^4 = (10)*(10)*(10)*(10) = 10,000

This means that the place value of the 5 is then thousand.

Then the statement is true.

4) Terry missed the sale on a $210 jacket. When he went to purchases it,
he jacket increased to a cost of $262.50 By what percent did the jacket
ncrease in price?

Answers

Answer:

The jacket increase by 25% in price.

Step-by-step explanation:

Given that:

Sale price of jacket = $210

New cost of jacket = $262.50

Change = New cost - Sale price

Change = 262.50 - 210 = $52.50

Percent increase = [tex]\frac{Change}{Sale\ price}*100[/tex]

Percent increase = [tex]\frac{52.50}{210}*100[/tex]

Percent increase = 0.25 * 100

Percent increase = 25%

Hence,

The jacket increase by 25% in price.

Dover City Printers needs to ship 419 graduation programs to a university. The printing company can fit 24 programs in each box. How many programs will be in the partially filled box?

Answers

Answer:

There will be 11 graduation programs in partially filled box.

Step-by-step explanation:

It is given that:

Number of graduation programs need to be shipped = 419

Number of programs in each box = 24

Number of boxes = [tex]\frac{419}{24}[/tex]

Number of boxes = [tex]17\frac{11}{24}[/tex]

Here,

17 is the number of full boxes and 11 is the remainder.

Therefore,

There will be 11 graduation programs in partially filled box.

Answer:

11

Step-by-step explanation:

hope this helps plz mark brainliest

f(x)=x^4-5x^2-6x-10 is divided by x-3

Answers

Answer:

Step-by-step explanation:

STEP

1

:

           10

Simplify   ——

           x

Equation at the end of step

1

:

                       10

 ((((x4)-(5•(x2)))-6x)-——)-3

                       x

STEP

2

:

Equation at the end of step

2

:

                           10    

 ((((x4) -  5x2) -  6x) -  ——) -  3

                           x      

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  x  as the denominator :

                     x4 - 5x2 - 6x     (x4 - 5x2 - 6x) • x

    x4 - 5x2 - 6x =  —————————————  =  ———————————————————

                           1                    x        

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  x4 - 5x2 - 6x  =   x • (x3 - 5x - 6)

Polynomial Roots Calculator :

4.2    Find roots (zeroes) of :       F(x) = x3 - 5x - 6

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -6.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,6

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -2.00    

     -2       1        -2.00        -4.00    

     -3       1        -3.00        -18.00    

     -6       1        -6.00        -192.00    

     1       1        1.00        -10.00    

     2       1        2.00        -8.00    

     3       1        3.00        6.00    

     6       1        6.00        180.00    

Polynomial Roots Calculator found no rational roots

Adding fractions that have a common denominator :

4.3       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (x3-5x-6) • x - (10)     x5 - 5x3 - 6x2 - 10

————————————————————————  =  ———————————————————

           x                          x        

Equation at the end of step

4

:

 (x5 - 5x3 - 6x2 - 10)    

 ————————————————————— -  3

           x              

STEP

5

:

Rewriting the whole as an Equivalent Fraction

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  x  as the denominator :

        3     3 • x

   3 =  —  =  —————

        1       x  

Checking for a perfect cube :

5.2    x5 - 5x3 - 6x2 - 10  is not a perfect cube

Trying to factor by pulling out :

5.3      Factoring:  x5 - 5x3 - 6x2 - 10

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -6x2 - 10

Group 2:  x5 - 5x3

Pull out from each group separately :

Group 1:   (3x2 + 5) • (-2)

Group 2:   (x2 - 5) • (x3)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

5.4    Find roots (zeroes) of :       F(x) = x5 - 5x3 - 6x2 - 10

    See theory in step 4.2

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -10.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,5 ,10

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -12.00    

     -2       1        -2.00        -26.00    

     -5       1        -5.00       -2660.00    

     -10       1       -10.00       -95610.00    

     1       1        1.00        -20.00    

     2       1        2.00        -42.00    

     5       1        5.00        2340.00    

     10       1        10.00       94390.00    

Polynomial Roots Calculator found no rational roots

Adding fractions that have a common denominator :

5.5       Adding up the two equivalent fractions

(x5-5x3-6x2-10) - (3 • x)      x5 - 5x3 - 6x2 - 3x - 10

—————————————————————————  =  ————————————————————————

            x                            x            

Polynomial Roots Calculator :

5.6    Find roots (zeroes) of :       F(x) = x5 - 5x3 - 6x2 - 3x - 10

    See theory in step 4.2

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -10.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,5 ,10

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -9.00    

     -2       1        -2.00        -20.00    

     -5       1        -5.00       -2645.00    

     -10       1       -10.00       -95580.00    

     1       1        1.00        -23.00    

     2       1        2.00        -48.00    

     5       1        5.00        2325.00    

     10       1        10.00       94360.00    

Polynomial Roots Calculator found no rational roots

Final result :

 x5 - 5x3 - 6x2 - 3x - 10

 ————————————————————————

            x            

Need help right now!!! Due soon!

Answers

Answer:

Step-by-step explanation:

HAHAHAHAHA! NOT IN THE MOOD!

HAHAHAHSHA LOLLLL!!!!

Express the sum of 1.202 x 10^3 and 3.45 x 10^2 in scientific notation.

Answers

Answer:

4.1469 x 10^5

Step-by-step explanation:

multiply the coefficients and add the exponents

1.202 x 3.45 = 4.1469

10³ x 10² = 10^5

A class of 32 students earned
grades of A, B, C, or Don a test.
One-fourth of the students earned
an A Half of the remaining students
earned a B. Two students earned a
D. What fraction of the students
earned a C?

Answers

Answer:

5/16 Got a C

Step-by-step explanation:

A = 1/4 x 32

B = (32 - A)/2

D = 2

A = 8

B = (32 - 8)/2

B = 24/2

B = 12

D = 2

8 + 12 + 2 = 22

22/32 did not get a C

32/32 - 22/32 = 10/32

10/32 - > 5/16

Subtract 1/2h -1 from 3/4 h -4


A.1/4h+3


B.-1/4+5


C.1/4h+5


D.-1/4h+5

Help plzzzz

Answers

Answer:

It would be option A.

Step-by-step explanation:

1/4h + 3

8 feet to 10 feet percent of change

Answers

Answer:

25 percent is the answer

Step-by-step explanation:

If i got the answer coreect can y mark brainliest? thanks.

Answer:

8 represents the old value and 10 represents the new value. In this case, since the new value is greater than the old value, we have a positive shift (increase) of 25 percent.

Step-by-step explanation:

have a good day, i got this from g.o.og.l.e i dont know if this is what you want. i did add some of my thoughts to this answer

Triangle A'B'C' is a dilation of AABC. What is AB?
B'
B
6
A4
10
C
A
15
С
o
A. 4
o
B. 5
C. 9
o
D. 16

Answers

Answer:

C. 9

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Which of these is equal to 35 (8 – 3)? A. (35 + 8) – (35 + 3) B. (35 × 8 ) + (35 × 3) C. (35 × 8) – (35 × 3) D. (35 × 11)

Answers

I think the answer c as I have estimated and this one seems like it’ll make the most sense

The equivalent of the expression, 35 (8 – 3)  is (35 × 8 ) - (35 × 3). The answer is C.(35 × 8) – (35 × 3)

How to simplify an expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Therefore, let's simplify the expression to the its' equivalent as follows:

Hence,

35 (8 – 3) = 35(5) = 175

Therefore,  the equivalent is as follows:

35 (8 – 3)

Open the bracket by multiplying as follows;

35 (8 – 3)  = (35 × 8 ) - (35 × 3)

The correct option is C. (35 × 8) – (35 × 3)

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What are the coordinates of point P?​

Answers

(-2, -4.5)

Second answer down

(-2,-4.5) is the correct answer

Dewayne is thinking of a number n, and he wants his sister to guess the number. His first clue is that seven less than five times his number is between thirteen and eighteen. Write a compound inequality that shows the range of numbers that Dewayne might be thinking of.

Answers

Answer:4<n<5

Step-by-step explanation: 13<5n-7<18

20<5n<25

4<n<5

Inequalities help us to compare two unequal expressions.The compound inequality that shows the range of numbers that Dewayne might be thinking of is 8<(5n-7)<13.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given clue by Dewayne can be written in the form of inequality as shown below. Therefore, we can write,

Five times the number → 5nSeven less than five times a number → 5n-7Seven less than five times his number is between thirteen and eighteen → 8 < (5n - 7) <13.

Hence, the compound inequality that shows the range of numbers that Dewayne might be thinking of is 8<(5n-7)<13.

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Suppose you obtain a 30-years fixed-rate mortgage for$100000 at a rate of 3%.

Answers

Answer:

yes

Step-by-step explanation:

Solve 3,200 divided by 10 using a area model

Answers

I believe The answer is 320

Theresa has a pile of sand grains and salt grains mixed together. She wants to separate the sand from the salt. What method can she use to separate these two substances?

Answers

Answer:

the answer is A

Step-by-step explanation:

Answer:

A. heat the pile to 100c so that half the pile boils

Step-by-step explanation: I just took the test :)

How would you solve x^3=8

Answers

Answer:

2

Step-by-step explanation:

[tex]x^{3} =8\\x=\sqrt[3]{8} \\x=2[/tex]

use your calculator

it takes 20 minutes to walk to school .it takes Andre 80% as long to walk to school.how long does it take Andrea to walk to school

Answers

Answer:

16min

Step-by-step explanation:

80%*20min=4/5*20min=16min

Answer:

16 minutes

Step-by-step explanation:

If it takes 20 minutes and it takes Andre 80% as long, then you multiply 20 by %80

the monthly rents for five apartments advertised in a newspaper were $700, $700, $770, $1750, and $860. use the mean, median, and mode of the rents to answer the question. which value gives the average rent?

Answers

Answer:

Step-by-step explanation:

Sheronda uses 1 cups of sugar in every batch of homemade muffins
she makes. One day, while making muffins for her son's bake sale, she
used 19 cups of sugar in all. How many batches of muffins did she make?

Answers

Answer:

19 batches of homemade muffins

Step-by-step explanation:

1 cup per 1 batch

You will get an amount of batches equal to the amount of cups of sugar, so if there are 19 cups there would be 1 batch of homemade muffins for each of the cups.

Answer:

19 batches of muffins

Step-by-step explanation:

She uses 1 cup for 1 batch which means

1 cup = 1 batches

So if you multiply 19 by 1 you should get 19 which means

19 cups = 19 batches

Which congruence best expresses the relationship showing that the triangles below are
congruent?
76°
76°
F SSS
GSSA
H SAS
3
ASA

Answers

AIDS said she had to go take care the dogs she

The relationship of congruency that describes that the given triangles are congruent is SAS.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given, are two triangles with an included angle of 76° and the corresponding sides are congruent to each other.

∴ The relationship that shows that the triangles below are congruent are

side angle side or SAS.

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Write the equation of an exponential function that has an initial
value of 150 and a growth rate of 4%, which occurs every 8
years.

Answers

Answer:

Step-by-step explanation:

100 POINTS!!!!!!! I WILL GIVE BRAINLIEST!

YOU MUST SHOW YOUR WORK OR I WILL NOT GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

In the morning, Jasmine biked to her grandma's house in 45 minutes. When she was biking back home in the evening it was foggy and she went 4 mph slower. The trip back took her 1 hour and 10 minutes. How far from her house does her grandmother live?

Answers

Answer:

8.4 miles

Step-by-step explanation:

Let the speed in the morning be s, then in the evening it is s - 4

The distance is equal both directions:

45 min *s = 1 hr 10 min *(s - 4)

Time in hours:

45*1/60*s = (1 + 10*1/60)(s - 4)3/4s = 7/6s - 7/6*4

Multiply all terms by 12 to clear fraction:

9s = 14s - 565s = 56s = 56/5s= 11.2 mph

The distance is:

3/4*11.2 = 0.75*11.2 = 8.4 miles

Answer:

the answer is 8.4

Step-by-step explanation:

hope it helps. even I'm stuck so I went on brainly and the guy who helped you is a god ls mark the other person brainliest he deserves it with all the clean work and all

Which functions graph is a translation of the graph of f(x)=x shifted 5 units to the right
a. g(x)=5x
b. g(x)=x-5
c.g(x)=x+5
d. g(x)=-5x

Answers

B. Is the correct answer

The function of the graph of a translation of the graph of f(x) = x shifted 5 units to the right is g(x) = x - 5, so option B is correct, the graph is also attached below.

What is function?

When a function from one set to the other is utilized, every element of X receives precisely one element of Y. The function's domain and co-domain are collective terms used to refer to the sets X and Y, respectively.

Given:

f(x) = x, shifted 5 units to the right

A translation is a change in the graph's direction, either horizontally or vertically, parallel to the -axis.

Here, the translation is of 5 units,

Thus, the new function will be,

g(x) = x - 5

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Need help don’t know what to do I’m confused

Answers

Answer: the last one which is d<0
Trust me :)

oints
What is the value of 10y + 2 3x + 2) if x = -2 and y = 3?

Answers

Step-by-step explanation:

When x = -2 and y = 3,

10y + 2(3x + 2)

= 10(3) + 2[3(-2) + 2]

= 30 + 2(-4)

= 30 - 8

= 22.

Answer:

I think its help you

Step-by-step explanation:

10y+23x+2

10×3+23×-2+2

30+23

53

PLEASE HELP! I'LL GIVE BRAINLIEST!

Write an equation for the line (y = mx + b)
Write a sentence explaining a real-life situation that this line could represent. (Make sure you use the word ascending in your sentence.)
How many meals would be packed in 20 hours?

Answers

Given :

A graph of Total Meals Packed vs Time( in hours ).

To Find :

How many meals would be packed in 20 hours.

Solution :

First we will find the equation of line.

Now, the line passes through ( 0, 0 ) and ( 4, 500 ).

So, equation of line passing through ( 0, 0 ) and ( 4, 500 ) is :

[tex]y - 0 = \dfrac{500-0}{4-0}( x - 0 )\\\\y = 125x[/tex]

Now, putting the value of x = 20 hours in above equation, we get :

y = 125 × 20 meals

y = 2500 meals

Therefore, number of meals packed in 20 hours is 2500 meals.

An bakery chef wants to construct a pie graph to represent types of pies sold in November. He sold 700 pies, 350 of which were pumpkin ples The pumpkin ples represent how many degrees in the circle?

Answers

Answer:

[tex]180^{\circ}[/tex]

Step-by-step explanation:

Given that,

Total pies that sold = 700

Pumpkin pies = 350

We need to represent the degrees in the circle. It can be calculated as follows :

[tex]x=\dfrac{350}{700}\times 360\\\\x=180^{\circ}[/tex]

So, the pumpkin pies are represented by [tex]180^{\circ}[/tex].

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