The median value in the data set is the average of the two middle values which is: 23.
What is the Median of a Data Set?In an ordered data set, the median is the middle value or average of the two middle values in the data set.
List out each data point in the data set given:
20, 20, 20, 22, 22, 24, 26, 26, 26, 26
The middle values in the data set are, 22 and 24.
Median = (22 + 24)/2
Median = 23
Learn more about the median on:
https://brainly.com/question/26177250
You invest $2,000 in an account that is compounded annually at an interest rate of 5%. You never
withdraw money from the account. How much money will be in the account after 4 years?
Answer:
$2,400
Step-by-step explanation:
First we need to find whatever that 5% is.
[tex]\frac{5}{100} \times \frac{2000}{1}[/tex]
Which gives us $100.
Now, we multiply the $100 by 4.
Which is $400.
Now, we add that to the $2,000.
Which gives us $2,400.
Sorry for the late reply but hope this helps
What is the axis of symmetry for y=2x^2+16x-5
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
Convert to vertex form by completing the square
[tex]y=2x^2+16x-5\\\\y=2(x^2+8x-\frac{5}{2})\\ \\y+2(\frac{37}{2})=2(x^2+8x-\frac{5}{2}+\frac{37}{2})\\ \\y+37=2(x^2+8x+16)\\\\y+37=2(x+4)^2\\\\y=2(x+4)^2-37[/tex]
Since the equation is now in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex], so, the axis of symmetry is [tex]x=-4[/tex].
Answer:
x=-4
Step-by-step explanation:
i took the test
Based on the following circle, solve for the value of a.
Can you find the missing side lengths?
Answer:
I may be wrong but I think the missing side is 7.
Step-by-step explanation:
because 40 minus 8 is 32 so I did 15 minus 8 and got 7
Help help help please please
Answer:
The answer would be A.
Step-by-step explanation:
The answer would be A because the line is going down in question B, meaning that it would be a negative slope so that would not be correct. X=1x meaning that the line goes up one and goes right one block.Both of the slopes have the same y-interceptThe less than or equal sign (< with a line) is pointing away from y, meaning y is less than or equal to x+5. This doesn't matter in this graph in particular though because the inequality sign used for both graphs are the same here.Lee watches TV for 4 hours per day. During that time, the TV consumes 150 watts per hour. Electricity costs (10 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days?
Step-by-step explanation:
1 kilowatt=1000 watt
tv watch time=4*30=120
the watt tv consume=120*150=18000
the kilowatt tv consume=18000/1000=18
electricity cost =10*18
180 cents
what ratio is equivilant to 4 : 5
Answer:
Any ratio where the original sides are both multiplied by the same number.
For example,
4 : 5 (your ratio)
4 x 2 : 5 x 2 (multiply both sides by a number)
8 : 10 (equivalent ration)
Evaluate the double integral int int y^3 dA where D is the triangular region with vertices (0,1), (7,0) and (1,1).
Answer:
1/5
Step-by-step explanation:
Refer to the image for the region. I've chosen to "scan" the region horizontally for convenience sake, so x varies for values between the green and the red line, and y varies from 0 to 1.
The two lines have equations [tex]x=7-6y[/tex] (red line) and [tex]x=7-7y[/tex] (green line). Since we're integrating first with respect to x, it's easier to write the equation like that and not as [tex]y=mx+q[/tex] since they will become our new limits of integration
Our double integral will become
[tex]\int \limits_0^1 \ \ \int \limits_{7-7y}^{7-6y}y^3dxdy = \int \limits_0^1 y^3x|\limits_{7-7y}^{7-6y} dy =\\\int \limits_0^1 y^3[(7-6y)-(7-7y)]dy = \int \limits_0^1y^3(y)dy =\\\int \limits_0^1 y^4dy =\frac15y^5|\limits_0^1=\frac15[/tex]
What is the value of x?
Enter your answer in the box.
Since it is an equilateral triangle, all the sides are equal
(To make things more simple, you can compare 2 sides out of 3 --> as in you can choose the 2 most simple ones to solve)
4x-10 = 3x+2 Simplify like terms
x = 12
If you want to prove, just plug 12 back into each side
Hope this helped :)
What is the center and radius of the circle?
(x-3)2 + y² = 4
Answer:
center = (3, 0)
radius = 2
Step-by-step explanation:
Standard equation of a circle: [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]
(where (h, k) is the center of the circle and r is the radius)
Given equation:
[tex]\sf (x-3)^2+y^2=4[/tex]
Rewrite in standard form:
[tex]\sf \implies (x-3)^2+(y-0)^2=2^2[/tex]
Therefore
center = (3, 0)radius = 24 2 5 0
3 2 8 7
2 1 8 ?
Answer:
5
Step-by-step explanation:
A Cinema has 240 seats. 144 seats were sold
for the current movie. What percent of seats
are empty?
Need help please :)
Answer:
the answer is 40%
Step-by-step explanation:
240 – 144 = 96
96÷240=0.4=40%
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
Your backyard is 60 feet long and 50 feet wide. You install a circular pool with a 10-foot radius. What is the area of the backyard, in square feet, that can be planted with grass? Round your answer to the nearest whole number (Area of a rectangle = base x height) (Area of a circle = 3.14 x (radius) ^2)
Answer:
2686
Step-by-step explanation:
First let's find the area of the garden.
[tex]60 \times 50 = 3000ft {}^{2} [/tex]
Now let's find the area of the pool.
[tex]3.14 \times 10 {}^{2} [/tex]
[tex]3.14 \times 100 = 314ft {}^{2} [/tex]
Lastly subtract both products.
[tex]3000 - 314 = 2686[/tex]
i need someone whos really good at geometry to help with my finals pleaseeeeee
Answer:
8 in
Step-by-step explanation:
A 45-45-90 triangle is a special triangle with side length ratio 1 : 1 : √2
The legs are equal in length.
The length of the hypotenuse is √2 times the length of a leg.
Therefore, if the hypotenuse of a 45-45-90 triangle is 8√2 inches, the leg lengths are 8 inches each in length.
what is the total number of unique triangles that can be made with the side lengths of 4cm, 5cm, and 10cm can be drawn? PLS HELP I WILL MARK BRAINLIEST
Answer:
One
Step-by-step explanation:
First, we need to check a triangle with these sides is possible. Since 4 plus 5 is 9, and 9 is less than 10, we can make a triangle with these sides.
To answer the question, we can only make one unique triangle. Why? They give us three lengths and a triangle has three sides.
However, if they are counting a triangle in different positions the answer will be greater. Since it would just be the same triangle, I am going with the answer of only one.
JKL and RST are shown below. Which of the following statements is true? Look at picture.
Answer:
Triangle JLK congruent to Triangle RTS is the only true statement
Step-by-step explanation:
AngleJKL is not corresponding to AngleRTS because AngleRTS is a right angle and AngleJKL is not.
The triangles are congruent by HL because one leg and the hypotenuse are congruent.
Triangle congruence can be determined so the third statement is incorrect.
TR is not congruent to KJ. TR=3.7 and KJ=4.5
Which of the following expressions are equivalent to 6 + (-4) - 56+(−4)−56, plus, left parenthesis, minus, 4, right parenthesis, minus, 5?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
-(-6+4)-5−(−6+4)−5minus left parenthesis, minus, 6, plus, 4, right parenthesis, minus, 5
(Choice B)
B
6-4-(-5)6−4−(−5)6, minus, 4, minus, left parenthesis, minus, 5, right parenthesis
(Choice C)
C
6-(4+5)6−(4+5)6, minus, left parenthesis, 4, plus, 5, right parenthesis
(Choice D)
D
6+4-56+4−56, plus, 4, minus, 5
(Choice E)
E
-(-6)+(-4)-(-5)−(−6)+(−4)−(−5)
Answer:
Step-by-step explanation:
−5+6−4
and
−4+(−5)+6
If the mass of an object on Earth is 9 grams, what would the mass of the same object be on
the Moon?
Answer:
1.49 Grams
Step-by-step explanation:
Answer:
9 gms.
Step-by-step explanation:
mass will be same.
weight will be different.
PLEASE HELP IT"S MATHHHHH< I"LL MARK U BRANLIEST
Step-by-step explanation:
we cannot read the name of the vertical line through B, but I guess that is "m".
so, if we reflect ("mirror") the line BC across "m", then B stays where it is (on line "m"), and C flips over into A.
therefore, if I understand the question correctly, the second option (line BA) is right.
because the reflected image of line BC is line BA.
Which of the following units are units of capacity? Select all that apply.
find the inverse of f(x)= x-3/2
i dont understand this
Answer:
the correct answer is shown below
Step-by-step explanation:
hope this helps
Three and one fifth of 1 1/2 is what number?
Answer:
10 6/25
Step-by-step explanation:
"three and one fifth" symbolically is 3 1/5 or 3.2 or 16/5.
Then "three and one fifth" of 1 1/2 is:
3.2*3.2 = 10.24 or 10 24/100 or 10 6/25 or 256/25
what does 1/10 + 1/100 equal?
Answer:
0.11
Step-by-step explanation:
[tex] \frac{1}{10} + \frac{1}{100} \\ \\ = \frac{10}{100} + \frac{1}{100} \\ \\ = \frac{11}{100} \\ \\ = 0.11[/tex]
the table shows the letter grades in science class for a random sample of 300 sixth grade students. Find the relative frequency for each letter grade to complete the table. Use pencil and paper. What additional information does the relative frequency give that the frequency doesn't? Explain.
Answer:
0.12,0.16,0.37,0.2,0.15
Step-by-step explanation:
A. 36 divided by 300 = 0.12
B. 49 divided by 300 = 0.16
C. 111 divided by 300 = 0.37
D. 60 divided by 300 = 0.2
F. 44 divided by 300 = 0.15
need help with geometry (number3)
Answer:
Step-by-step explanation:
If this is a parallelogram., this means that the opposite angles are congruent. Thus, the erasure of angle E is equal to the measure of angle G.
So, 10x-21=4x+27, meaning x=8.
Therefore, the measure of angle E is 10(8)-21=59 degrees
3) After measuring the heights of 7 people, they have an average height of 156cm. After
measuring the heights of 8 people they have an average height of 158cm. How tall is
the 8th person?
Answer greatly appreciated asap
Answer:
172 cm
Step-by-step explanation:
The total height of the first 7 people is the average of the 7 people multiplied by the number of people, which is 156 * 7 or 1092. Using the same method, the total height of the first 8 people is 158*8 or 1264. The eighth person must be 1264 - 1092 cm tall or 172 cm tall.
Help picture below problem 12
Answer:
80 degrees
Step-by-step explanation:
This is a really confusing question with a really confusing answer. Basically, the 80 degree angle that they give us (Angle 2, I think) is equivalent to Angle 4, Angle 5, and Angle 3. I know that might seem really weird, but if you look closely at all the angles I just named, they all look like they are about the same measure. They are all slightly less than a right angle (90 degrees) and none of them are obtuse angles- they're all acute. Basically, the answer is 80.
And if I'm wrong, I am so sorry! I still sometimes get confused on these type of questions. Well, I hope its right and I hope that if it is, it was helpful! Have a lovely day!! :)
Work out the length of x.
Give your answer rounded to 3 significant figures.
х
16.5 mm
6.6 mm
Answer:
x=17.771mm
Step-by-step explanation:
given a right triangle
to find vslue of x
solution (perpendicular) ² + (base) ² =(hypotenus) ²
using pythagorus theorem
(16.5)²+(6.6)²=(x)²
272.25+43.56=(x)²
315.81=(x)²
√315.81=x
x=17.771mm
Answer:
By Pythagoras theorem
H^2=P^2+B^2
x^2=(6.6)^2+(16.5)^2
x^2=43.56+272.25
x^2=315.81
x=√315.81
x=17.771mm
40 Points !!!!
Find the slope of line e.
a. -1/2
b. 1/2
c. -2
d. 2
Find the area of the 2.5 m circle using 3.14 or 2/7 four pi
Answer:
Formula for area of circle;
A = π[tex]r^{2}[/tex]
Where 'π' represents pi (22/7 or 3.14), and 'r' is the radius which is being squared.
Plug in your values:-
A = π[tex]r^{2}[/tex]
A = 3.14(2.5^2)
A = 3.14(6.25)
A = 19.625 meters is your answer.