Find the median, first quartile, third quartile, and interquartile range of the data.

68, 74, 67, 72, 63, 70, 78, 64, 76

Answer:

(4,-5)

Step-by-step explanation:

Hi there!

The problem asks us to solve by elimination, where we will add the two equations together to clear one variable, solve for the other variable, and then substitute the value of the other variable to find the value of the first variable

here's the system:

4x-9y=61

10x+3y=25

we'll clear y to start

multiply the second equation by 3

3(10x+3y)=3(25)

30x+9y=75

  4x-9y=61

now add the equations together (the 9y's clear because one is positive and another is negative)

34x=136

divide by 34

x=4

the value of x is 4

now to find y:

substitute the value of x into either one of the equations to solve for y

if we were to do the first equation for example:

substitute x as 4 into the equation

4(4)-9y=61

multiply

16-9y=61

subtract

-9y=45

divide

y=-5

so the answer is x=4, y=-5. If you need it as a point, it's (4,-5)

Hope this helps! :D

Answer:

124 degree

Step-by-step explanation:

Since 9y + 7 and 4y+4 are supplementary,

9y + 7 + 4y + 4 = 180

13y + 11 = 180

13y = 180 - 11 = 169

y = 169/13

y = 13

Therefore, 9y + 7 = 9*13 + 7 = 124

4y + 4 = 4*13 + 4 = 56

Since Angle 6 and angle 9y + 7 are vertically opposite angles, they are equal.

angle 6 = 9y + 7

Angle 6 = 124

Hope u understand.

Please mark as the brainliest

Thank You

Answer:

To find X you'll need this formula Tan 30, and this one to find y cos 30.

Step-by-step explanation:

tan 30 = 9 / x.

tan 30*x = 9

x = 9 / tan 30

x = 15.58

To find y, the value of X will be needed, which is 15.5 that we just found.

Cos= A/H

Cos 30 = 15.58/ y

Cos 30 * y = 15.58

y = 15.58/ cos 20

y = 17.99

Answer:

Step-by-step explanation:

[tex]{4}^{9 - 5} [/tex]

[tex] {4}^{4} [/tex]

Answer:

30 cm

Step-by-step explanation:

[tex]Vol. of a sphere (4/3) \pi r^3=36000 \pi \\r^3=36000*3/4=27000\\r=30 cm\\[/tex]

Answer:

Answer: 3 feet

Step-by-step explanation:

Here's the complete question:

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.

Note that Volume of a cylinder = πr²h

where Volume = 235.6 feet³

Radius = 5 feet

Height = Unknown

Then, we put the values back into the question and this will be:

V = πr²h

235.6 = 3.14 × 5² × h

235.6 = 3.14 × 25 × h

235.6 = 78.5 × h

h = 235.6 / 78.5

h = 3 feet

The height is 3 feet

Step-by-step explanation:

Answer:

Part A - [tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex], Part B - Polynomial of second degree and formed by 3 monomials, Part C - [tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]

Step-by-step explanation:

Part A - The total length of the sides 1 and 2 is equal to the addition between respective polynomials:

[tex]l_{1} + l_{2} = (3\cdot x^{2} - 2\cdot x - 1) + (9\cdot x + 2\cdot x^{2} - 3)[/tex]

[tex]l_{1} + l_{2} = (3\cdot x^{2} + 2\cdot x^{2}) + (9\cdot x - 2\cdot x) +[(-1) + (-3)][/tex]

[tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex]

Part B - The degree is the highest exponent of the polynomial and the classification is related to the number of monomial that make part of the algebraic expression. In this case, we conclude that resulting expression is a polynomial of second degree and formed by 3 monomials.

Part C - The length of the third side of the triangle by subtracting the expression found in part A from the polynomial of the perimeter of the triangle:

[tex]l_{3} = p - l_{1} - l_{2}[/tex]

[tex]l_{3} = (5\cdot x^{3}+4\cdot x^{2}-x-3) -(5\cdot x^{2}+7\cdot x -4)[/tex]

[tex]l_{3} = 5\cdot x^{3} + [4+(-5)]\cdot x^{2}+[(-1)+(-7)]\cdot x +[(-3)+ 4][/tex]

[tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]

Answer:

Part A; Total length of side 1 and 2  = 5·x² + 7·x - 4

Part B; The degree of the polynomial is 2

The classification of the polynomial is a trinomial quadratic equation

Part C; 5·x³ - 4·x² - 6·x + 2

Step-by-step explanation:

The length of the sides of the rectangle are;

Side 1: 3·x² - 2·x - 1

Side 2: 9·x + 2·x² - 3

The perimeter of the rectangle is 5·x³ + 4·x² - x - 3

Part A

The given expression for the sides of the rectangle are;

Side 1: 3·x² - 2·x - 1

Side 2: 9·x + 2·x² - 3

The total length of side 1 and side 2 is given by add ing the given expressions as follows;

Total length of side 1 and 2  = 3·x² - 2·x - 1 + 9·x + 2·x² - 3 = 5·x² + 7·x - 4

Part B

The degree of the polynomial is 2 and the classification of the polynomial is a trinomial quadratic equation

Part C

Given that a rectangle rectangle consists of two pairs of equal opposite sides, we have;

The length of the third side = The perimeter - (2 × The length of side 1 + The length of side 2)

The length of the third side = 5·x³ + 4·x² - x - 3 - (2 × (3·x² - 2·x - 1) + 9·x + 2·x² - 3)

The length of the third side = 5·x³ + 4·x² - x - 3 - (8·x² + 5·x - 5)

The length of the third side = 5·x³ - 4·x² - 6·x + 2

Trust me, you're not the only one who's bad at math.  '-'

Answer:

third one

Step-by-step explanation:

the third one should be the answer

step 4 came out becoz of taking the common factor(x+1) and combining x2 and (-16)

Step 5 came out becoz of the theory of (a^2-b^2) = (a+b)(a-b)

ps 16 here is equal to 4^2

Answer:

5x-y

Step-by-step explanation:

Answer:

what that person said

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

To find the area of an triangle use the formula BH(1/2) in this case

The base is 2 so the height must be 15 because 2 times 15 is 30 divided by 2 is 15

Tell me if I'm wrong if not

Hope this helped :]

The height of the triangle is 15 centimeters.

Given the following data:

To find the height of the triangle:

Mathematically, the area of a triangle is given by the formula;

[tex]Area \;of\; a \;triangle = \frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]

Substituting the values into the equation, we have;

[tex]15 = \frac{1}{2}[/tex] × [tex]2[/tex] × [tex]height[/tex]

Height = 15 cm

Therefore, the height of the triangle is 15 centimeters.

Find more information: https://brainly.com/question/11037225

Answer:

A= 201.06

Step-by-step explanation:

A = pi r^2

A = pi x 8 x r^2 = 201.06

Answer:

16

Step-by-step explanation:

if x=23, 23-7=16

Answer: 25%

Step-by-step explanation:

Answer:b

Step-by-step explanation:

The requried function represented in the graph is given as y = [-x + 2,  x<1] and y = {x + 1, x ≥ 1} Option A is correct.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

The equation of the function shown in the graph is given as,
y = [-x + 2,  x<1]

y = {x + 1, x ≥ 1}

Thus, the requried function represented in the graph is given as y = [-x + 2,  x<1] and y = {x + 1, x ≥ 1} Option A is correct.

Learn more about graphs here:

brainly.com/question/16608196

#SPJ2

Answer:

minimum 56

Median (Q2) 65

Lower Quartile (Q1) 60

Upper Quattile (Q3) 67

Maximum 75

Step-by-step explanation:

If you notice, there are 5 distinguished points of data, and I used all the points for each thing you asked for. You just have to recognize the minimum and maximum are the largest and smallest of all the data, and there is clearly nothing outside of the range of 56-75. then Q1, Q2, and Q3 are on the box itself. The median, just like with numbers, will always be the middle line. It is not directly in the center because there are more people in the 65-75 value range than the 56-65 value range.

hope this helps!

Answer:

minimum 56

Median (Q2) 65

Lower Quartile (Q1) 60

Upper Quattile (Q3) 67

Maximum 75

Step-by-step explanation:

i go to k12

Answer:

Parallel

Step-by-step explanation:

The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.

Have a great day <3

Answer:

just subtract 6-12 =?

and then 9-16=?

Step-by-step explanation:

=6/7

Answer:

-1/12

Step-by-step explanation:

6/9 - 12/16

divide to the simplest

2/3 - 3/4

find the LCM = 12

therefore,

8 - 9 all over 12

-1/12

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

20

Step-by-step explanation:

2 x 10 = 20

divided by 4 = 5

The larger pool will hold is 100 times more gallons than the smaller pool

From the question, we are to determine how many times more gallons the larger pool holds than the smaller pool

From the given information,

Capacity of the larger pool = 2 × 10¹⁰ gallons

Capacity of the smaller pool = 2 × 10⁸ gallons

To determine how many times more gallons the larger pool  holds more than the smaller pool, we will simply divide the capacity of the larger pool by the capacity of the smaller pool

That is,

[tex]\frac{2 \times 10^{10} }{2 \times 10^{8}}[/tex]

= 10²

= 100

Hence, the larger pool will hold is 100 times more gallons than the smaller pool.

Learn more on Capacity here: https://brainly.com/question/7598008

#SPJ2

Answer:

5.4x10^9

Step-by-step explanation:

Answer:

88 sq cm

Step-by-step explanation:

A=(b1+b2) x H divided by 2

Answer:

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Step-by-step explanation:

The order doesn't matter, so you could say "t+11 and t-9" to mean the same thing.

=======================================================

Explanation:

Think of two numbers that multiply to -99, but also add to 2. In other words, find two factors of -99 which add to 2. We'll use trial and error.

Here are all the ways to multiply to -99 using integers only:

Add up each factor pair to see which sum is equal to 2.

We can see that 11 and -9 are the two numbers we're after, so therefore, t^2+2t-99 factors to (t-9)(t+11). The order doesn't matter with the factor multiplication.

As a more efficient alternative method, you can use the quadratic formula to solve t^2+2t-99 = 0 to end up with t = 9 and t = -11. That would lead to the  two equations t-9 = 0 and t+11 = 0. Applying the zero product property then gets us (t-9)(t+11) = 0.

To help show that (t-9)(t+11) becomes t^2+2t-99, you can use the FOIL rule to expand that factorization out. This is one way to verify the answer.

Answer: Hope This Helps!

Step-by-step explanation:

1: Streak: Streak is a word referring to the color of the streak that a rock makes when it is scraped against the unglazed side of a white ceramic tile (or, the unglazed bottom of a white coffee cup or toilet tank cover).

2: Luster: The luster of a mineral is best observed on a surface that is free of moisture, dirt, tarnish, and abrasion. Geologists in the field usually carry a rock hammer to break rocks so that their true luster and color can be observed.

3: They could both be the same mineral: The minerals pyrite and gold are always metallic yellow in color and streak (although they differ in other characteristics such as hardness).

4: The rocks contain fossils: Sedimentary rocks are most likely to contain fossils. Fossils are formed when the bodies or remnants of living organisms (plants and animals) are covered and are thus protected from predators or microbial decay. And thats exactly what a sedimentary rock is.

Answer:

first find the length of the hypotenuse,

a²+b²=c²

7²+8²=113

√113=10.63

perimeter=sum of all sides

10.63+7+8

=25.63