What is the effect of removing the outlier 11 from the following data set? (1 point)

{11, 85, 87, 88, 91, 91, 92, 93, 95}

A The mean would increase.
B The median would decrease.
C The interquartile range would increase.
D The median of the lower quartile would stay the same.

Answers

Answer 1

Answer:

A The mean would increase.

Step-by-step explanation:

mean = sum of numbers ÷ how many numbers there are

the mean with the outlier 11:

(11 + 85 + 87 + 88 + 91 + 91 + 92 + 93 + 95) ÷ 9 = 81.4

the mean when removing the outlier 11:

(85 + 87 + 88 + 91 + 91 + 92 + 93 + 95) ÷ 8 = 90.25

the mean has now increased


Related Questions

Choose the polynomial that is written in standard form. 2x2 3x4 10x6 4x4 6x3 10x4 −3x8 9x2 10x −7x6 x3 10x8.

Answers

The polynomial [tex]\rm -3x^8 +9x^2+ 10x[/tex]  is written in standard form. The correct option is C.

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The standard form of the polynomial is given as

[tex]\rm a_o x^{n} + a_1 x^{n-1} + a_2 x^{n-2} + ...... + a_n x^{n-n}[/tex]

1.  [tex]\rm 2x^2 +3x^4 +10x^6[/tex] is not written in standard form.

2.  [tex]\rm 4x^4 +6x^3 + 10x^4[/tex] is not written in standard form.

3.  [tex]\rm -3x^8 +9x^2+ 10x[/tex] is written in standard form.

4.  [tex]\rm -7x^6 + x^3 + 10x^8[/tex] is not written in standard form.

More about the polynomial link is given below.

https://brainly.com/question/17822016


Frederick asked a bank teller to cash a $390 check using $20 and $50 bills. If the teller gave
him 15 bills, how many of each did he receive?

Answers

12 of $20 and 3 of $50 totally didnt edit it... lolol..

Answer:

12 $20 Bills & 3 $50 Bills

Step-by-step explanation:

Because if the total is $390, Then if you get 10 $20 Bill that would equal $200 Bills and if you get 2 $50 Bills then you would get $100. Add the $200 Bills & the $100 Bills you get $300 Bills.

Then you get 1 $50 Bill and 2 $20 Dollar Bills you get $90 Bills.

Add $300 Bills with $90 Bills and you get $390.

If you add the number of bills handed it would be 15.

How do I do number 1

Answers

{twenty symbols text.... }

I need help with my fractions

Answers

Answer:

1 1/2

Step-by-step explanation:

2/3 + 5/6 = 32 = 1 12 = 1.5. Spelled result in words is three halves (or one and one half).

HELPPPPPPPPPPPPPPPPP Solve for w x and y

Answers

Step-by-step explanation:

opp angles are equal in kite

so x = 48°

bigger diagonal bisects smaller diagonal

w=1.6cm

take ∆rey

r= 90°

angle rye = 48°

90+48+y = 180

y= 90-48=42°

9/25

start fraction, 9, divided by, 25, end fraction of Polly's co-workers prefers tea over coffee.
What percent of Polly's co-workers prefer tea over coffee?

Answers

Answer: To convert a fraction to a percentage you multiply by 100.

(9 / 25) * 100

= 9 * 100/25

= 9 * 4

= 36%   answer

Step-by-step explanation:

1 yd² of soil containing 30% clay was mixed into 2 yd of soil containing 45% clay. What is the clay content of the mixture?​

Answers

Answer:

105% ?

Step-by-step explanation:

I'm not entirely sure if the 1 yard 'squared' is considered in the 30% but assuming it's not ... 1yd =30% 1yd^2=60% and 2yd=45% so 60%+45%=100%

The following triangular prism has a base that is a right triangle.


Draw or describe the net of this triangular prism. Make sure to include the dimensions of each part of the net. Use your net to calculate the surface area of the prism.

Answers

Answer:

The Answer is 175.86 cm^2

Step-by-step explanation:

4.3*5.2/2*2=22.36 cm^2

6.75*10=67.5 cm^2

10*4.3*2=86 cm^2

86+22.36+67.5=175.86 cm^2

Hoped this helped ^^

= 234.02

10 x 6.75 = 67.5 x 3 202.5

4.3 x 5.2 = 21.84  square root = 4.67

6.7/2 = 2 = 3.375

3.375 x 4.67 = 15.76

15.76 x 2 = 31.52

202.5 + 31.52 = 234.02

Zachary invests $400 into an account that earns 3.5% simple interest for 5 years. He does not make any other deposits or withdrawals.

At the end of 5 years, Zachary invests the entire account balance into a different account that earns 5% simple interest. He leaves the money in the account for 2 years without making any additional deposits or withdrawals.

What is the new account balance at the end of 2 years?

Drag and drop values into the boxes to correctly complete the statements.

Zachary invests $Response area into the account that earns 5% simple interest. At the end of 2 years, the account balance is $Response area.

Answers

Answer:

Zachary invests $470 into the account that earns 5% simple interest. At the end of 2 years, the account balance is $517

Step-by-step explanation:

I took the test

The new account balance at the end of 2 years is $517.

Simple interest

5 years

Using this formula

I= (P+r×t)

Where:

I=Interest=?

P=Principal=$400

r=Interest rate=3.5%

t=Time=5 years

Hence:

I= ($400×0.035 x 5)

I= $70

2 years

I=Interest=?

P=Principal=$470

r=Interest rate=5%

t=Time=2 years

I=($470+0.05×2)

I=$47

New balance:

New balance=$400+$70+$47

New balance=$517

Inconclusion the new account balance at the end of 2 years is $517.

Learn more about simple interest here:https://brainly.com/question/2294792

How do I do this I am confused

Answers

the answer is 1/5

The similarity ratio of ABCD to VWXU is the ratio between a side length in ABCD and the corresponding side length in VWXU. So, the similarity ratio is
AB/VW = 1/5

Please give me right answer fast need it by tonight

Answers

the answer is d like on the paper
The answer is 75 dollars, B. Please give brainliest if you can!

What is 5/6 - 3/8 ?

? Choose the answer in the most simplified form.
A. 1 / 3
B. 9/16
C. 1/12
D. 11/24

Answers

Answer:

D. 11/24

Step-by-step explanation:

→ [tex]\frac{5}{6} -\frac{3}{8}[/tex]

→ [tex]\frac{40-18}{48}[/tex]

→ [tex]\frac{22}{48}[/tex]

→ [tex]\frac{11}{24}[/tex]

Answer:

D is the answer

Step-by-step explanation:

[tex]\frac{5}{6} - \frac{3}{8} \\[/tex]

find a common factor between 6 and 8, thats 24.

(multiply the first fraction by 4, second by 3, both numerator and denominator)

Becomes:

[tex]\frac{20}{24} - \frac{9}{24}[/tex]

Then subtract the numerators, keeping the denominators the same:

20 - 9 = 11;  

So the answer is:

[tex]\frac{11}{24}[/tex]

A 60 ounce glass bottle of juice sells for $4. 20 while a 1. 5 liter of the same juice sells in a plastic bottle for $3. 6. Compare the unit prices of the juice for the two containers. (1 liter is approximately 34 ounces) a. The juice in the glass bottle is 1 cent cheaper per ounce. B. The juice in the plastic bottle is 1 cent cheaper per ounce. C. The juice in the glass bottle is 10 cents cheaper per ounce. D. The juice in the plastic bottle is 10 cents cheaper per ounce. Please select the best answer from the choices provided A B C D.

Answers

The answer is letter B.

given that (x-2) is a factor of (x³-8) ,what is the other factor?​

Answers

Answer:

[tex]x^2+2x+4[/tex]

Step-by-step explanation:

This expression can also be written as a difference of cubes:

[tex]x^3-2^3[/tex]

A important formula to remember is:

[tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]

We can use this to factor this expression:

[tex]x^3-2^3=(x-2)(x^2+2x+4)[/tex]

Therefore the other factor is:

[tex]x^2+2x+4[/tex]

Please answer this right if you do I’ll give brainly please please please

Answers

Answer:

$2.25

Step-by-step explanation:

last year price = $3.00

this year price = $3.00 - (25% × $3.00)

= $3.00 - $0.75

= $2.25

What is the solution set for this inequality?

-8x + 40

-16

Answers

i think it’s a positive

This circle is centered at the origin, and the length of its radius is 4. What is
the circle's equation?

Answers

B) X^2+y^2=16
Hope this helps

HELP ME PLEASE!!! A ball is thrown in the air from a platform that is 112 feet above ground level with an initial vertical velocity of 32 feet per second. The height of the ball, in feet, can be represented by the function shown where t is the time, in seconds, since the ball was thrown.


h(t)=−16t2+32t+112

Which of the following equations shows the function rewritten in the form that would be best used to identify the maximum height of the ball?


Question 16 options:


h(t)=−16(t−2)2+112


h(t)=−16(t−1)2+80


h(t)=−16(t−1)2+96


h(t)=−16(t−1)2+128

Answers

The ball thrown upwards follows a parabolic path

The equation that shows the function rewritten in the form that would be best used to identify the maximum height of the ball is [tex]h(t)=-16(t-1)^2+128[/tex]

How to determine the equivalent equation

The equation is given as:

[tex]h(t)=-16t^2+32t+112[/tex]

Factor out -16

[tex]h(t)=-16(t^2-2t)+112[/tex]

Express the bracket as a perfect square expression

[tex]h(t)=-16(t^2-2t + 1 - 1)+112[/tex]

Factor out -4

[tex]h(t)=-16(t^2-2t + 1)+112 + 16 * 1[/tex]

[tex]h(t)=-16(t^2-2t + 1)+128[/tex]

Express as a perfect square

[tex]h(t)=-16(t-1)^2+128[/tex]

Hence, the equivalent expression is [tex]h(t)=-16(t-1)^2+128[/tex]

Read more about parabolas at:

https://brainly.com/question/4061870

The points (-5, r) and (2, 3) lie on a line with slope 2. Find the missing coordinate r.

Answers

Answer:

Step-by-step explanation:

I will use the formula for finding the slope of a line.

rise/run = y2 - y1/x2 - x1

3 - r/2 - -5

We will subtract 2 from -5. 2 - -5 = 7

Since the slope is 2, and 2 - -5 = 7, then 3 - r = 7x2 = 14.

3 - 14 = -11

r = -11

thx for your help on the other one now i need help on this one

Answers

I was about to point out that this seemed more like an English question but then I read the thing on the top left.

A) For a meal that cost nothing, starving people would line up for hours, even in the middle of Times Square.

A may be the answer.

B) All across the nation, starving people who couldn't buy food stood in breadlines for hours.

B is not the answer.

C) Millions of men and women were out of work and hungry during the Great Depression.

C is not the answer.

D) Breadlines in the Times Square provided free meals for hungry men and women.

D is not the answer.

The answer is A) For a meal that cost nothing, starving people would line up for hours, even in the middle of Times Square.

Let me know if this is the correct answer. :)

Can someone please help me I’m stuck on this.

Round 0.3391 to
the thousandths place.

Answers

Answer:

.3390 or just .339

Step-by-step explanation:

the answer to your question is.. 0.339 :))

Write the ratio the 3 ways learned. A recipe uses 5 cups of water for
every 3 cups of flour.

Answers

Answer:

5:3

3:5

5 for 3

Step-by-step explanation:

Because for every 5 cups you get 3 cups

Danieli bought 2 1/2 yards of fabric to make a costume what is the length of the fabric in feet and inches show your work

Answers

Answer:

7.5 feet and 90 inches

Step-by-step explanation:

you take 2.5 and multiply it by 3 because there are 3 feet in a yard to get 7.5. then take 7.5 and multiply it by 12 to get 90 inches

Pythagorean theorem Words Problems

Answers

Answer:

22.2 ft

Step-by-step explanation:

=) B² = H² - P²

=) B² = 32² - 23²

=) B² = 1024 - 529

=) B = 495 root sq.

=) B = 22.2 ft

Solve ABC where ∠C = 90°, a = 15 cm, and b = 7 cm.

Answers

Answer:

c ≈ 16.55cm ; ∠A = 65 degrees ; ∠B = 25 degrees

Step-by-step explanation:

Because of the Pythagorean theorem, we can solve for c.

This theorem states: a^2 + b^2 = c^2

Since there can only be 180 degrees in a triangle, angle C must be our largest angle. This means that side c is our hypotenuse (the longest side).

Using all of this information, we can say that 15^2 + 7^2 = c^2.

Simplifying that equation, we get that 274 = c^2.

In order to find c, we must square root both sides, and we find that c is about 16.55 cm long.

Using SOHCAHTOA, we know that the tan(∠B)=[tex]\frac{7}{15}[/tex]. Therefore, the arctan ([tex]\frac{7}{15}[/tex]) = ∠B.

Once you find that ∠B is about 25 degrees, you can add ∠B and ∠C together and subtract that from 180 to find ∠A.

∠A = 65 degrees.

Can anyone please help me out with this??? PLEASE AND THANK YOU

Answers

Answer:

(-2/3, 4)

Step-by-step explanation:

3x+2y=10

-12x-2y=-4

-9x=6

x=-6/9=-2/3

-2+2y=10

y=4

PLEASE HELP & SHOW WORK PLS..

Answers

92 48+48=92 it’s above ^ 2

Directions: Determine the axiom that justifies each of the following statements.

1. 2( -a + 5) = (2)(-a) + (2)(5)

2. 2/5 ⋅ 1 = 2/5

3. (x + 5) + 2 = x + (5 + 2)


Answers

Answer:

distributive propertymultiplicative identity elementassociative property of addition

Step-by-step explanation:

1.

The distributive property of multiplication over addition tells you a factor outside parentheses will multiply each term inside parentheses. That fact is used to expand the given expression. In general, ...

  a(b +c) = ab +ac

  2(-a +5) = 2(-a) +2(5)

__

2.

The multiplicative identity element is the value that can multiply any expression and leave it unchanged. It is 1. That is, multiplying anything by 1 leaves it unchanged.

This fact is generally used to cancel factors common to a numerator and denominator: (2x)/2 = x(2/2) = x(1) = x, for example. It is also used extensively in units conversion.

__

3.

The associative property of addition lets you group the terms of a sum any way you like. It lets you move parentheses at will. (Beware subtraction.)

Here, the parentheses are moved from grouping the first two terms to instead grouping the last two terms.

_____

Additional comment

These are part of the vocabulary of math. Even if you don't remember the specific definitions, it is essential to remember what these properties allow. Making use of them is the way that expressions are simplified and equations are solved.

Answer:

Distributive Property of MultiplicationIdentity Property of MultiplicationAssociative Property of Addition

Step-by-step explanation:

Distributive Property of Multiplication

The distributive property of multiplication is to distribute or multiply one term by all terms.

2(-a + 5)     Distrbute 2 to -a and 52(-a) + 2(5)-2a + 10

Identity Property of Multiplication

Identity property is to multiply by 1. This doesn't change the value, so it keeps the value, identity, the same.

2/5 * 1 = 2/5

Associative Property of Addition

The associative property is to group terms differently, preferably like terms. 2 and 5 are like terms, because they are integers.

(x + 5) + 2x + (5 + 2)x + 10

-Chetan K

Grandma baked 1.5 times as many pancakes as waffles. After she baked 45 more waffles, and her grandchildren ate 12 pancakes, there were 17 more waffles than pancakes. How many waffles were there initially?
pls help fast

Answers

Answer:

80

Step-by-step explanation:

(x + 45) - (1.5x - 12) = 17

x + 45 - 1.5x + 12 = 17

-0.5x+57=17

-0.5x=-40

-40/-0.5=80

help asap (image below!!)

Answers

Answer:

D

......................

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