What is the Median Q1 ,Q3 and IQR of 80,90,95,85,70

Answers

Answer 1

median=85 since it is the middle data point
Q1= 80 because it is the middle of the left side of the median
Q3=90 since it is the middle of the right side of the median
IQR= Q3-Q1=90-80=10

Answer 2

Answer:

17.5

Step-by-step explanation:

70, 80, 85, 90, 95

Median: 85

Lower quartile: 75

Upper quartile: 92.5

Interquartile range: 92.5 - 75 = 17.5

Related Questions

how do you solve:
18(18)=x(x+15)

Answers

Hello!

[tex]18(18)=x(x+15)[/tex]

The parentheses indicate multiplication; the 18(18) on the left side of the equation is 18 * 18. On the right side of the equation, you have x(x + 15); to simplify this, you would distribute the x--that means multiply each term inside the parentheses by x. This is the Distributive Property: [tex]a(b + c) = ab + ac[/tex]. Let's do that.

[tex]18(18)=x(x+15)[/tex]
[tex]324= x^{2} +15x[/tex]

Now, you can subtract 324 from each side to set the equation equal to 0.

[tex]324= x^{2} +15x[/tex]
[tex]324-324= x^{2} +15x-324[/tex]
[tex]0= x^{2} +15x-324[/tex]

This is a quadratic equation; to solve it, we may factor (if the equation is able to be factored) or we can use the Quadratic Formula. Let's see if we can factor. To factor, find two numbers whose sum is 15 and whose product is -324. Since 324 is negative, we know one of the numbers is negative and one of the numbers is positive (a negative times a positive is always negative), and that means one of the numbers is greater than 15...

27 - 12 = 15
27 * -12 = -324

The factored polynomial is: (x + 27)(x - 12).

To find its solutions, set the factors equal to 0 and solve for x.

x + 27 = 0
x = -27

x - 12 = 0
x = 12

Answer:
The solution of [tex]18(18)=x(x+15)[/tex] is -27 and 12.

What is the perimeter of a parallelogram measuring 5 ft. x 9 ft.?

Answers

so.... In a paralleogram, both opposite sides are equal.
P=5+5+9+9
P=28 ft

Opposite sides of a parallelogram are equal in length so
the perimeter = 2*9 + 2*5 = 28 ft Answer

Marvin lives in Stormwind City and works as an engineer in the city of Ironforge. In the morning, he has 333 transportation options (teleport, ride a dragon, or walk) to work, and in the evening he has the same 333 choices for his trip home. If Marvin randomly chooses his method of travel in the morning and in the evening, what is the probability that he teleports at least once per day?

Answers

The event "Atleast once" is the complement of event "None".

So, the probability that Marvin teleports atleast once per day will the compliment of probability that he does not teleports during the day. Therefore, first we need to find the probability that Marvin does not teleports during the day.

At Morning, the probability that Marvin does not teleport = 2/3

Likewise, the probability tha Marvin does not teleport during evening is also 2/3.

Since the two events are independent i.e. his choice during morning is not affecting his choice during the evening, the probability that he does not teleports during the day will be the product of both individual probabilities.

So, the probability that Marvin does not teleport during the day = [tex] \frac{2}{3}*\frac{2}{3}=\frac{4}{9} [/tex]

Probability that Marvin teleports atleast once during the day = 1 - Probability that Marvin does not teleport during the day.

Probability that Marvin teleports atleast once during the day = [tex] 1-\frac{4}{9}=\frac{5}{9} [/tex]

Answer:

5/9

Step-by-step explanation:

The chances he teleports in the morning is 2/3

Same for the evening.

so mulitply the two choices 2/3 * 2/3= 4/9

Then add 1 to account for teleports ONCE a day

1+4/9= 5/9

Sally has 20 feet of ribbon to use to cut the ribbon in the equal-sized links to make bracelet she wants to compare how many bracelets you can make if she uses different links right algebra expression that Sally can use to figure out how many bracelets you can make if she cuts the ribbon into a 7 and 1/2 inch or 6 and 3/4 inch length

Answers

The 20 feet of ribbon could be cut into:
· 7 1/2 inch pieces
· 6 3/4 inch pieces
There are 12 inches in 1 foot.
12f = i
The expression could be:
12f ÷ 7 1/2
OR
12f ÷ 6 3/4
Hope this helps!

Answer:

1) 32 bracelets if she cuts the ribbon into a 7 and 1/2 inch.

2) 35 bracelets if she cuts the ribbon into a 6 and 3/4 inch.

Step-by-step explanation:

1) Length of the ribbon = 20 feet = 240 inches

1 foot = 12 inches

Length of the ribbon required to make a bracelet = [tex]7\frac{1}{2}=\frac{15}{2}inches[/tex]

Let the number of bracelets Sally can make from 20 feet ribbon be x.

[tex]x=\frac{240 inches}{\frac{15}{2}inches}=32[/tex]

32 bracelets if she cuts the ribbon into a 7 and 1/2 inch.

2) Length of the ribbon = 20 feet = 240 inches

1 foot = 12 inches

Length of the ribbon required to make a bracelet = [tex]6\frac{3}{4}=\frac{27}{4} inches[/tex]

Let the number of bracelets Sally can make from 20 feet ribbon be x.

[tex]x=\frac{240 inches}{\frac{27}{4}inches}=35.555\approx 35[/tex]

35 bracelets if she cuts the ribbon into a 6 and 3/4 inch.

he graph below shows the price of different numbers of cans of beans at a store: A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 19, 38, 57, 76, and 95. Points are shown on ordered pairs 0, 0 and 2, 19 and 4, 38 and 6, 57 and 8, 76. These points are connected by a line. The label on the x axis is Number of Cans. The title on the y axis is Price in dollars. Which equation can be used to determine p, the cost of b cans of beans?

Answers

since p is the y-axis and b is the x-axis and we have the "plots", we can form this equation

y = 9.5x
substitute p into y and b into x
p = 9.5b

i hope i helped!

The equation which can be used to determine p, the cost of b cans of beans will be;

⇒ p = 9.5b

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The values on the x - axis are 0, 2, 4, 6, 8, 10.

The values on the y- axis are 0, 19, 38, 57, 76, and 95.

These points are connected by a line.

The label on the x axis is Number of Cans.

The title on the y axis is Price in dollars.

Now,

Find the equation as;

Let two points from the table are,

⇒ (0, 0) and (2, 19)

So, The equation of line passing through the points (0, 0) and (2, 19) is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 0 = (19 - 0) / (2 - 0) (x - 0)

⇒ y = 19/2x

⇒ y = 9.5x

So, The equation which can be used to determine p, the cost of b cans of beans will be;

⇒ p = 9.5b

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HEEEEEEEEEEEEEEEEEELP!!!!!!!!
please explain how to get to the answers ASAP

Answers

Question 1
Part A:
We must evaluate the following intervals:
if d> = 5:
The function for this case is:
C = 4.70d
if d <5:
The function for this case is:
C = 4.70d - 1
Part B:
We evaluate the functions corresponding to the number of days:
For d = 4
C = 4.70 * (4) - 1 = 17.8 $
For d = 7
C = 4.70 * (7) = 32.9 $
Answer:
option 3
Question 2:
For this case, what you should do is find the linear function that best suits the problem.
We have then:
y = 3x + 3
We evaluate for different values of x to compare with the table:
f (0) = 3 (0) + 3 = 3
f (1) = 3 (1) + 3 = 6
f (2) = 3 (2) + 3 = 9
f (3) = 3 (3) + 3 = 12
f (4) = 3 (4) + 3 = 15
We observe that all the values coincide with the table.
Answer:
option 2.

:(( Pls help!! Chantel would like to buy a new pair of running shoes. The shoes she likes start at $85. She has already saved $62, write an inequality to show how much more money Chantal must save.

Answers

Hi there! I can help you! An inequality does not involve just an equal sign. It helps us get a clearer picture of the ranges of the amount that work in different situations. In this case, out inequality would be this:

62 + x ≥ 85

We are looking for how much more money needs to be saved. it could be right at that amount or equal to, so we use the greater than or equal to symbol. 62 is what we already have, so we put that amount in the expression as well. We are doing this to find the amount away from 85.

How to solve it:

Okay. So first things first, we will subtract 62 from both sides. 62 - 62 cancels out. 85 - 62 is 23. That's it! x ≥ 23. At least, Chantel will need to save $23 more in order to buy the pair of shoes she wants.

62+x≥85 is the inequality to show how much more money Chantal must save.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that Chantel would like to buy a new pair of running shoes.

The shoes she likes start at $85.

Chantel has already saved $62.

We need to find the inequality to show how much more money Chantal must save.

Let x be the more money needed to purchase the shoes.

62+x≥85

Subtract 62 from both sides

x≥85-62

x≥23

Hence, 62+x≥85 is the inequality to show how much more money Chantal must save.

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HELP ME ASAP

Simplify.

3.5+2y−1+3y−6y

Enter your answer in the box.

Answers

3.5-1+2y+3y-6y=
2.5-y=0
y=2.5

Hi!

To simplify, we need to combine like terms.

3.5+2y-1+3y-6y
= 3.5-1+2y+3y-6y
= 2.5 + 5y - 6y
= 2.5 - y

Hope this helped!

Please help asap pleaseeee

Answers

Hi there!

The exact circumference of the circle is 8pi cm.

Since the formula of finding the circumference is 2pi*r, 1/2 of the diameter times 2 = 8. 8 * pi is 8pi.

Hope this helps!

The line plot shows the measurement of a certain liquid (in milliliters) in nine beakers. If you combined the liquids and then put an equal amount of liquid in each beaker, how much liquid would be in each beaker?

Answers

The plot shown is a histogram, not a line plot.

The average quantity is
.. (2*1/4 +2*3/8 +2*1/2 +5/8 +3/4 +7/8)/(2 +2 +2 +1 + 1 + 1)
.. = (4 1/2)/9 = 1/2

Each beaker would have 1/2 milliliters.

A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points L(−7,14) , M(9,14) , and N(9,−12) . Point P is the fourth vertex of the rectangle.

How long is the side of the rectangle connecting points L and P?

Enter your answer in the box.

Answers

(-7,-12) i believe this is correct

can someone double check my work for this problem? I got 38°??

Answers

We need to use Law of sine.

sin A/a = sin C/c
sin A/|CB| = sin C/|AB|

sin A/14 = sin(118⁰)/ 20
sin A = (14*sin(118⁰))/ 20

A=arcsin((14*sin(118⁰))/ 20) ≈ 38⁰

1) Latricia randomly selected 25% of the seventh-grade students in her school and asked them their favorite season. Of the students surveyed, 51 chose summer as their favorite season. Based on the data, what is the most reasonable prediction of the number of seventh-grade students in her school who would choose summer as their favorite season?
a) 15
b)75
c) 150
d)200

Answers

Final answer:

The correct option is (d) 200. By using a proportion based on the sample data where 51 students (25% of the grade) chose summer, it can be predicted that approximately 204 students in total would choose summer. The closest provided option to this calculated number is 200.

Explanation:

Latricia surveyed 25% of the seventh-grade students, and out of this sample, 51 students chose summer as their favorite season. To find the total number who would choose summer, we assume that the sample is representative of the entire grade. If 51 represent 25%, then to find 100% (the whole grade), we use the following proportion:

Sample size (25%) : Number who chose summer in sample (51) = 100% : Total number who would choose summer

To solve the proportion for the total number who would choose summer, we set up a simple equation:

25% / 51 = 100% / x, where x is the total number we want to find.

To find x, we multiply both sides by x and divide by 25%:

x = (51 * 100%) / 25%

x = (51 * 4)

x = 204

Therefore, the most reasonable prediction for the number of seventh-grade students who would choose summer as their favorite season is 204. However, since 204 is not one of the options provided, we will choose the closest option, which is (d) 200.

A triangle has an angle that measures 90°. The other two angles are in a ratio of 2:7. What are the measures of those two angles?

Answers

First, subtract 90° from 180°, since 180° is the sum of all the angles in a triangle.

180 - 90 = 90°.

Now, we can really just test out different sets of numbers in a 2:7 ratio until we find two that have a sum of 90°.

If you look closely, 2 + 7 is 9. So, using that logic, multiplying 2:7 by 10 would get you 20° and 70°, which have a sum of 90°.

So the measures of the missing 2 angles is 20° and 70°.
Hope I helped!

What is one third of $17.55

Answers

Divide 17.55 by 3. You get 5.85

Divide that by 3.

17.55/3= 5.85

$5.85 is one-third of $17.55.

Have a nice day! XD

Attila the Hun was a ruler of the Hunnic Empire. The Romans feared him greatly until his death since he made quite a habit of invading. The Romans no longer feared him after his death in 453. Let xxx represent any year. Write an inequality in terms of xxx and 453 that is true only for values of xxx that represent years after the year that Attila died.

Answers

453< x if the value of x is greater than 453 then the Romans didn't fear him because after 453 he was dead. 453 and any number smaller than that would be times in his life that he would have been feared.

Attila the Hun died in 453.

Let x represents the year.

So the inequality for will be 453<x.

Explanation:

Here x will be smaller than 453 because Hun was dead in 453. So 453 and any number smaller than that would be the times in his life that he would have been feared.

Suppose the value of x is greater than 453, then the Romans didn't fear him because after 453 he was dead.

Rosa has a rectangle shaped backyard where the length is two less than twice the width. If the area of the garden is 420 square feet, find the dimensions of Rosa's garden?

Answers

The expression for the area of a rectangle is given by:
A = (w) * (l)
Where,
l: long
w: width
the length is two less than twice the width:
l = 2w-2
Substituting the values:
420 = (w) * (2w-2)
We rewrite the expression:
210 = (w) * (w-1)
210 = w ^ 2-w
w ^ 2-w-210 = 0
The roots of the polynomial are:
w1 = -14
w2 = 15
We discard the negative root.
Width:
w = 15
Long:
l = 2w-2
l = 2 (15) -2
l = 30-2
l = 28
Answer:
the dimensions of Rosa's garden are:
w = 15 feet
l = 28 feet

Help Find X
I am lost

Answers

u would have subtract 3-9 and then and then that will be x and you would have to add the number to 4

A study of 50 high school students showed that exactly 25 of them took Biology, exactly 20 of them took Chemistry, and exactly 12 of them took both subjects. How many of the 50 students took neither Biology nor Chemistry?

Answers

The answer is 5 because if you add up the people who took Biology and Chemistry you get 45 then if you subtract that from 50 you get 5. You don't pay any attention to the 12 because it's only there to trick you. You don't need to know that exactly 12 people took both Biology and Chemistry bc they are already accounted for in the 25 and 20.

Question: A chicken soup recipe calls for 11 cups of chicken stock. How much is this in quarts?

Image is the key

Please help ASAP!!!

Answers

Hi there!

To solve this problem, we need to convert the different units.

Since
1 pint = 2 cups
11 ÷ 2 = 5.5

Since
1 quart = 2 pints
5.5 ÷ 2 = 2.25

So, the amount of chicken stock needed is 2.25 quarts.

Hope this helps!

The answer is 2.25 :) All you really have to do is divide some stuff.

Find the value of the expression:

56 ÷ 7 + 7 × 3

Answers

First, you have to apply the order of operations.

Division and multiplication come first here and they go from left to right. So,

56/7 = 8
7*3 = 21
Then, the addition.
8 + 21 = 29.

So the value of your expression is 29.

The answer to this is indeed 29

hope this helps... Please mark me Brainliest!!!

-Kaylah

PLEASE HELP ASAP!
I will give brainliest!
do question 28 and please explain how you got your answer.
Thank you so much for your time.

Answers

So first lets get everything on the same side of the equals sign:
x²-6x+12

Next lets use the quadratic formula:
(-b±√(b²-4ac))/2a

Now identify a, b, and c:
a=1, b=-6 and c=12 Plug into the quadratic formula: (36±√(36-4(1)(12))/2 (36 ± √-12)/2 (36 ± 2√3i)/2 18 ± i√3

A triangle has sides with lengths of 60 centimeters, 63 centimeters, and 87 centimeters. Is it a right triangle

Answers

We can check this by seeing if Pythagorean's theorem applies. The longest side is the hypotenuse, so let's see if this is true:
[tex]60^2+63^2 = 87^2[/tex]
[tex]7569 = 7569[/tex]

This is, indeed correct, thus, this is a right triangle.

Since the given lengths satisfied the Pythagorean theorem then the given triangle is a right angled triangle.

Use the concept of the triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

And the Pythagoras theorem for a right angled triangle is also defined as:

(Hypotenuse)²= (Perpendicular)² + (Base)²

The given length of sides are:

60 centimeters, 63 centimeters, and 87 centimeters.

Now take,

Hypotenuse = 87 cm

Base = 63 cm

Perpendicular = 60 cm

Apply the Pythagorean theorem,

87² = 60² + 63²

Calculating it,

7569 = 7569

Since the given sides satisfied the Pythagorean theorem,

Hence,

The triangle is a right angled triangle.

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Research scientists need a certain type of bacteria to conduct an experiment. There are 100 bacteria in a certain culture. The culture grows at a rate of 70% daily. The scientists need at least 1,400 bacteria to conduct an experiment. What is the least number of days they must wait for the bacteria culture to reach a quantity of 1,400? (Hint: use a guess-and-check method to determine the lowest number of days that satisfy the requirement.) A. 4 days B. 5 days C. 6 days D. 7 days

Answers

Assuming that day one starts with a 100 and day 2 increases by 70% and so onthe answer would be 6 days

100 - 170 - 289 - 491.4 - 835.21 - 1419.8

Sabrina has designed a rectangular painting that measures 55 feet in length and 30 feet in width. Alfred has also designed a rectangular painting, but it measures x feet shorter on each side. When x = 3, what is the area of Alfred's painting?

Answers

(55-3) * (30-3) = 52 * 27 = 1404 ft.

The area of the painting is 1,404 square ft
Hope this helps
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Graph y= 2x-2 with the domain (1,2,3)

Answers

Graph attached.
To graph by hand find the values at 1 and 3 by plugging it into the original function and drawing a line between the two.
2(1)-2 = 0 Point (1,0)
2(3)-2 = 4 Point (3,4)

Quadrilateral ABCD is inscribed in this circle.

What is the measure of ∠A ?

Enter your answer in the box.

Answers

arcDAB = 2*m∠C = 2*121 = 242°
arcDCB = 360° - arcDAB = 360 - 242 = 118°
m∠A = arcDCB/2 = 118/2 = 59°

One of the circle theorems is that opposite angles in a cyclic quadrilateral sum to 180°.
We can see that C is opposite to A, so in other words angle C + angle A = 180°. This can quickly be solved:
121+A=180
Minus 121 on both sides
A=59°

Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.

Answers

f(1)=4(1+1+7)-2(1)+8-4
f(1)=36+2
f(1)=38

f(2)=4(2+2+7)-2(2)+8-4
f(2)=44

Classify the following triangle as acute, right or obtuse. A triangle with side lengths of 12 in, 15 in, and 20 in. Explain why.

Answers

I think its acute because first of all, when you have a right triangle, at least two of the sides have to be even. Secondly when I actually put the triangle together, the triangle had no sides that were greater than 90°, so then that rules out obtuse, so than that has to be acute because all angles are shorter than 90°

What is the value of x?

Enter your answer, as a decimal, in the box.

Answers

46.2 - 14 = 32.2
so
32.2 / 46.2 = x/72.6
x = 32.2 * 72.6 /46.2
x = 50.6

answer
x = 50.6 cm

Answer:

[tex]x=50.6cm[/tex]

Step-by-step explanation:

Triangle MAB is similar to triangle MNP

Since the triangles are similar, the corresponding ratios are in the same proportion.

Therefore we can write the relation;

[tex]\frac{|MB|}{|MP|}=\frac{|MA|}{|MN|}[/tex]

[tex]\frac{x}{72.6}=\frac{46.2-14}{46.2}[/tex]

This implies that;

[tex]\frac{x}{72.6}=\frac{32.2}{46.2}[/tex]

We multiply both sides by 72.6 to get

[tex]\frac{x}{72.6}\times 72.6=\frac{32.2}{46.2}\times72.6[/tex]

[tex]\Rightarrow x=50.6[/tex]

Hence the value of [tex]x[/tex] is 50.6 cm

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