Answer:
Mean Absolute Deviation (MAD): 0.75
Step-by-step explanation:
Total numbers: 8
Mean: 2
Mean absolute deviation: 0.75
Madison received a share of $4230 for a fishing competition. She deposited it in the bank and left it for 3 years accumulating simple interest at 4.2%. Find her new balance in the bank after 3 years.
Answer:
$4785.68
Step-by-step explanation:
Original amount: $4230
Interest for 1 year: 4.2%
First year;
[tex]4230 + (4230 \times \frac{4.2}{100}) \\ = 4230 + 177.66 \\ = 4407.66[/tex]
Second year;
[tex]4407.66 + (4407.66 \times \frac{4.2}{100} ) \\ = 4407.66 + 185.12172 \\ = 4592.78172[/tex]
Third year (total balance after 3 years);
[tex]4592.78172 + (4592.78172 \times \frac{4.2}{100} ) \\ = 4592.78172 + 192.89683224 \\ =4785.67855224[/tex]
Round the number;
$4785.68
YOUR ANSWER hope this helps :))
Answer: 4785.68
Step-by-step explanation: simpler way
B = P x (1 + R)^t
P = Staring Amount
R = Interest Rate
T = Time
B = Balance
B = $4230 x (1 + 0.042)^T
I need help again please
Answer:
The first x is 10 the second is 100
Step-by-step explanation:
Under the first x it is 5
5
Amelia and Roger both
found the volume of the sphere
below. Determine which
student correctly determined
the volume of the sphere.
3 cm
AMELIA
113.10 cm
ROGER
14.14 cm
Answer: the last one
Step-by-step explanation:
A batter hits a fly ball. a scout in the stands makes the following observations. TIME (SECONDS) .75 1.5 2 2.75 3.25 4.75 HEIGHT (FEET) 77 133 160 187 194 169 What type of function that best models this data. use a graphing calculator to perform the regression for the best fit equation. write the resulting equation below, rounding to the nearest hundredth. determine the initial velocity of the baseball and the height of the ball when hit. round to the nearest hundredth. calculate how many seconds an outfielder has to position himself for the catch if he intends to catch the ball 6 feet above the ground. show your work and round to the nearest hundredth.
Answer:
y = -15.9x² + 110.48x + 3.02
initial velocity: 110.48 ft/s
initial height: 3.02 ft
time to cath the ball at 6 ft: 6.92
Step-by-step explanation:
In the picture attached, the plot of the data points and the equation of the best regression is shown, which correspond to a quadratic equation. (It was obtained using Excel)
The initial velocity is the second coefficient.
The initial height is the third coefficient.
Replacing y = 6 into the equation and solving with the quadratic formula:
6 = -15.9x² + 110.48x + 3.02
0 = -15.9x² + 110.48x + 3.02 - 6
0 = -15.9x² + 110.48x - 2.98
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex]x = \frac{-110.48 \pm \sqrt{110.48^2 - 4(-15.9)(-2.98)}}{2(-15.9)} [/tex]
[tex]x = \frac{-110.48 \pm 109.62}{-31.8} [/tex]
[tex]x_1 = \frac{-110.48 + 109.62}{-31.8} [/tex]
[tex]x_1 = 0.03[/tex]
[tex]x_2 = \frac{-110.48 - 109.62}{-31.8} [/tex]
[tex]x_2 = 6.92[/tex]
In the context of the problem, only x2 has sense.
i have multiple please help
Answer:
Number 2 is 5 5/8
Step-by-step explanation:
3 1/2 times 3 3/4 is 45/8 45/8 = 5 5/8 times 1 = the same
What is the simplified form of the following expression?
(1)/(10)\sqrt(10,000a^(10)b^(10))
10|a5b5|
10a8b8
100|a5b5|
100a8b8
Step-by-step explanation:
Step 1: Simplify the root
[tex]\frac{1}{10}*\sqrt{10000*a^1^0*b^1^0}[/tex]
[tex]\frac{1}{10} * \sqrt{100^2*(a^5)^2*(b^5)^2[/tex]
[tex]\frac{1}{10}*100*a^5*b^5[/tex]
[tex]10a^5b^5[/tex]
Answer: [tex]10a^5b^5[/tex]
The answer is 100[tex]a^{5} b^{5}[/tex].
How to simplify?To simplify any algebraic expression, the following are the simple rules and steps: put off any grouping symbol inclusive of brackets and parentheses by means of multiplying elements. Use the exponent rule to take away grouping if the phrases are containing exponents.
Given
1 / 10 * √10000 *[tex]a^{10}[/tex] * [tex]b^{10}[/tex]
1 / 10 * 1000 *[tex]a^{5}[/tex] *[tex]b^{5}[/tex]
⇒ 100[tex]a^{5} b^{5}[/tex]
An expression is a set of terms combined using the operations.
Learn more about algebraic expression here: https://brainly.com/question/4344214
#SPJ2
Jake created a cube for his math game using
numbers and letters. He rolled the number
cube 50 times. The cube landed on an even
number 30 times out of the 50 rolls. Based on
Jake's rolls, hon mater times should he
expect to land on an even number out of the
next 20 rolls?
Answer:
He should expect to land on it 12 times
Step-by-step explanation:
He got an even number 30 times out of 50 rolls. So that is 30/50 or 3/5, you then multiply 20 by 3/5 giving you 12
Find the mean, median, mode, and range of the data:
{17, 2, 16, 3, 13,5,7,8,9, 11, 5, 2, 1,20}
Answer:
median:8 mean:199 that is all i know i might be wrong
Step-by-step explanation:
Find the difference. (16^3 + 2^2) - 4^3 =
Answer:
4036
Step-by-step explanation:
(16^3 + 2^2) - 4^3
(4096 + 4) - 64
4100 - 64
4036
Solve the following system of equations graphically on the set of axes below.
y=-1/3x + 5
2x-3y=3
*Graphing included*
Answer:
wrong but its alright plzz spare
Step-by-step explanation:
The height of the pyramid is twenty-two inches. The volume of the pyramid is three thousand, five hundred forty-nine point three three three three cubic inches.
What is the side length of the base of the pyramid?
Answer:
height h = 22 in
slant height s = 24.596516752655 in
side length a = 21.998966917893 in
lateral edge length e = 26.943965423213 in
1/2 side length r = 10.999483458946 in
volume V = 3549 in3
lateral surface area L = 1082.1959166741 in2
base surface area B = 483.95454545455 in2
total surface area A = 1566.1504621287 in2
Step-by-step explanation:
Yoshi has 4 fewer CDs than Miranda, and Ravi has 7 times as many CDs as Yoshi.
If Miranda has n CDs, which expression represents the number of CDs that Ravi has?
O A. n-4
OB. 4 - 7n
O c. 7
D. 71 - 4
O E7(11 - 4)
Answer:
yoshi=n-4
ravi=7(n-4)
A bicycle tire has a diameter of 3 feet. How many turns of the wheel could it take for the bicycle to go 792 feet?
Answer:
84 complete turns
Step-by-step explanation:
In order to find the number of turns that the bicycle wheel is going to take while going 792 feet, we need to find the circumference of the wheel.
[tex]C = \pi \: d = 3.14 \times 3 = 9.42 \: ft \\ no \: of \: turns = \frac{792}{9.42} \\ = 84.0764331 \\ = 84 \: turns[/tex]
Question 1
2 pts
P is between Jand K. The distance between Jand Pis 7 more than 3 times the distance
between P and K. If JK = 55, what is PK?
Answer:
29
Step-by-step explanation:
The radius of a sphere is 8 centimeters. Which formula can be used to find the volume of the sphere?
Hey there! I'm happy to help you!
The formula for the volume of a sphere is [tex]V=\frac{4}{3} \pi r^{3}[/tex], which is the the radius cubed multiplied by pi and 4/3. There are a lot of interesting proof videos out there about how this formula is derived and it is super cool and you would love it!
If our radius is 8 centimeters, we can plug it in like this:
[tex]V=\frac{4}{3} \pi (8)^{3}[/tex]
I hope that this helps! Have a wonderful day!
To estimate the value of Pi Multiply the distance traveled by the wheel when it goes all the way around by ______
A. It’s height
B. It’s height squared
C. Two times it’s height
D. One-half it’s height
Answer:
b
Step-by-step explanation:
Answer:
a or b i think not sure sorry
Step-by-step explanation:
Simplify the radical expression (3 + √6) (3 - √6)
Answer:
3
Step-by-step explanation:
(3 + √6) (3 - √6) = 9-3√6+3√6-6 = 9-6 = 3
(pls mark brainliest fam)
Answer:
3
Step-by-step explanation:
use FOIL method. ;)
hematics for College Readiness - Sem 2 - 1200700
"ET
Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?
Left-most x-intercept:
0)
Right-most x-intercept:
0)
Step-by-step explanation:
the x-intercept of this function is (-1,0)
Solve the following problem:
Given: △SAL, SA = LA
AT − ∠bisector
Prove: m∠L = m∠S
Answer:
[tex]\angle L=\angle S[/tex] using congruence rule
Step-by-step explanation:
Given: ΔSAL, SA = LA and AT is the bisector of [tex]\angle A[/tex]
To prove: [tex]\angle L=\angle S[/tex]
Proof:
Two triangles are congruent if they have same shape and same size.
Consider triangles ALT and AST
AL = AS
As AT bisects [tex]\angle A[/tex], [tex]\angle LAT=\angle SAT\\[/tex]
AT = AT (common side)
So, [tex]\Delta ALT\cong \Delta AST[/tex] ( by SAS congruence rule )
Here, SAS denotes side-angle-side
[tex]\angle L=\angle S[/tex] (using corresponding parts of congruent triangles)
Hence proved
Explanation:
First, we know that △ALT ≅ △AST, because of Side Angle Side Theorem. Next, we know that AL ≅ AS, because it's given.
Since A = A, we can remove A and it gives us m∠L = m∠S.
If you need to show work in math terms, your answer should look something like this:
1. △ ALT ≅ △AST - SAS
2. AL ≅ AS - Given
3. m∠ L ≅ m∠S
Hope this helped!
The set of data has a median of 51. Find the value of x.
30, 35, x, 100
Answer:67
Step-by-step explanation:
math question screen shot down below
Answer:
A
Step-by-step explanation:
If the current amount he has is B and its 7 LESS then he had earlier add 7 back to find the amount he add at the start.
Answer:
b+7,Option 1
Step-by-step explanation:
Let the number of buttons Cole had at first be a,
We know,now he has b buttons remaining which is 7 less than a
In other words,
a-7=b
or,a=b+7
Which numbers are solutions to the inequality -3x-3<_6? Check all of the boxes that apply.
Answer:
0,2,4
Step-by-step explanation:
Answer: 0,2,4
Step-by-step explanation:
Select the correct answer from each drop-down menu.
sin75° +sin15°=
sin75°-3in15º =
Answer:
Step-by-step explanation:
Answer:
Behold! The web haseth calculators. They work well.
#PlatoAccuracyMatters
Step-by-step explanation:
The measure of an exterior angle of a triangle is equal to which of the following measures?
A. The measure of its complementary angle
B. The measure of its adjacent angle
C. The sum of the measures of the interior angles
D. The sum of the measures of its remote interior angles
Answer:
C. The sum of the measures of the interior angles
Step-by-step explanation:
An exterior ∠ is equal to the addition of the two Δ angles not right next to it.The 2 exterior angles at each vertex are = in measure because they are vertical angles.
• The exterior angles (taken one at a vertex) always total 360º
Which theorem or postulate could be used to prove the congruence of the triangles?
Answer:
RHS.....
By using right hand side.
The table shows the elevation in feet at the peaks of several mountains.
Mountain Elevation (feet)
Mt. Aspen 20,199.5
Snow Crest 28,882.31
Mt. Bethune 22,934.71
Parker Peak 14,987.42
Snow Crest is 11,873.21 feet higher than Mt. Wilson. Write and solve an equation to find the elevation of Mt. Wilson. Let x represent the elevation of Mt. Wilson.
The equation to find the elevation of Mt. Wilson is - x =
The elevation of Mt. Wilson is feet.
Answer:
X = Y - 11873.21
X = 17009.1 feet
Step-by-step explanation:
Let x represent the elevation of Mt. Wilson. And
Y = Mt snow Crest.
Since Snow Crest is 11,873.21 feet higher than Mt. Wilson, the equation will be
X = Y - 11873.21
Where Y = 28,882.31
Substitute Y into the equation
X = 28882.31 - 11873.21
X = 17009.1 feet.
(x+2) and (x-3) are the only factors of the function g(x) = x^3 + x^2 - 12. How many times is each a factor of g(x)? Show your work.
simplify x^2+(y-9)^2=
Answer: Simplify each term.
x^2+y^2−18y+81
Step-by-step explanation:
4/g=3.2
What is the letter g?
Answer:
g=1.25
Step-by-step explanation:
Divide 4 into 3.2
4/3.2=1.25
Try to use inverse operations to solve this problem.
First multiply both sides by g to get the g out from under the 4 The equation is now:
4=3.2g
From here then you divide both sides by 3.2.
The answer is g=1.25
I hope this helps
Factor the polynomial.
216x^3-64
