Answer:
a
The sample size is n = 621
b
Voters Relative Frequency Frequency
Romney 0.21 130
Huckabee 0.19 118
Guiliani 0.12 75
John McCain 0.10 62
Ron Paul 0.04 25
Fred Thompson 0.04 25
Duncan Hunter 0.01 6
Tom Tancredo 0.01 6
Undecided votes 0.28 174
Step-by-step explanation:
From the question we are told that
The number of voters is n = 621
The voter election aspirants and their relative frequency are
Romney , 0.21
Huckabee , 0.19
Guiliani , 0.12
John McCain ,0.10
Ron Paul , 0.04
Fred Thompson 0.04,
Duncan Hunter 0.01
Tom Tancredo 0.01
Undecided votes 0.28
This undecided vote is used to represent votes that did not count and it is obtained by subtracting the other relative frequencies from 1 (i.e 100%)
Generally the frequency is mathematically represented as
Romney , 621 * 0.21 = 130
Huckabee , 621 * 0.19 = 118
Guiliani , 621 * 0.12 = 75
John McCain 621 * 0.10 = 62
Ron Paul , 621 * 0.04 = 25
Fred Thompson 621 * 0.04 = 25
Duncan Hunter 621 * 0.01 = 6
Tom Tancredo 621 * 0.01 = 6
Undecided votes 621 * 0.28 = 174
So the table is
Voters Relative Frequency Frequency
Romney 0.21 130
Huckabee 0.19 118
Guiliani 0.12 75
John McCain 0.10 62
Ron Paul 0.04 25
Fred Thompson 0.04 25
Duncan Hunter 0.01 6
Tom Tancredo 0.01 6
Undecided votes 0.28 174
Celeste drinks at least 8 cups of water each day. She drinks her water from a bottle that holds 2 cups of water. So far, she drank 1.5 cups of water. Solve the inequality that shows the number of bottles of water Celeste should drink so that she drinks at least 8 cups of water.
Step-by-step explanation:
8 cups total a day
1 bottle holds 2 cups (Celeste drinks 4 bottles a day = 8 cups)
If she drank 1.5 bottles already, she needs to drink 2.5 bottles
Let x be the number of bottles she needs to drink to have at least 8 cups
The inequality is x >= 2.5 bottles
Frank owed Alan $30. One week he paid him $14. Another week he paid him $8.50 What percentage of the $30 does Frank still owe to Alan?
+ + 2
- 2
A = 96
*- 2
2+2
Polynomial:
Equation:
Answer:
Length = 8
Breadth = 12
Step-by-step explanation:
Since Area = length * breadth
96 = (x+2)(x-2)
Since (a+b)(a-b) = a^2-b^2
(x+2)(x-2) = x^2-4
Therefore
x^2-4 = 96
x^2 = 100
x = +-10
Since x > 0
x = 10
.helooooooooo......... help
Answer:
B
Step-by-step explanation:
pls help me
Use the tools below to construct a triangle with angle measures of 15°, 15°, and 150°, if possible. If there is no such triangle possible, click on "No triangle possible". Note: It is okay to have extended sides on your triangle. No triangle possible
Step-by-step explanation:
the answer is in the picture
Divide.
1.95 -0.5
please answer asap:(
Answer:
Step-by-step explanation:
3.9
Solve the differential equation (2x+y)dx+(x−2y)dy = 0
Answer:
y(x) = 1/2 (x - sqrt(5 x^2 + c_1)) or y(x) = 1/2 (x + sqrt(5 x^2 + c_1))
Step-by-step explanation:
Solve 2 x + y(x) + (dy(x))/(dx) (x - 2 y(x)) = 0:
Let P(x, y) = 2 x + y and Q(x, y) = x - 2 y.
This is an exact equation, because (dP(x, y))/(dy) = 1 = (dQ(x, y))/(dx).
Define f(x, y) such that (df(x, y))/(dx) = P(x, y) and (df(x, y))/(dy) = Q(x, y).
Then, the solution will be given by f(x, y) = c_1, where c_1 is an arbitrary constant.
Integrate (df(x, y))/(dx) with respect to x in order to find f(x, y):
f(x, y) = integral(2 x + y) dx = x^2 + x y + g(y) where g(y) is an arbitrary function of y.
Differentiate f(x, y) with respect to y in order to find g(y):
(df(x, y))/(dy) = d/(dy) (x^2 + y x + g(y)) = x + (dg(y))/(dy)
Substitute into (df(x, y))/(dy) = Q(x, y):
x + (dg(y))/(dy) = x - 2 y
Solve for (dg(y))/(dy):
(dg(y))/(dy) = -2 y
Integrate (dg(y))/(dy) with respect to y:
g(y) = integral-2 y dy = -y^2
Substitute g(y) into f(x, y):
f(x, y) = x^2 - y^2 + y x
The solution is f(x, y) = c_1:
x^2 - y^2 + y x = c_1
Solve for y:
y(x) = 1/2 (x - sqrt(5 x^2 - 4 c_1)) or y(x) = 1/2 (x + sqrt(5 x^2 - 4 c_1))
Simplify the arbitrary constants:
Answer: y(x) = 1/2 (x - sqrt(5 x^2 + c_1)) or y(x) = 1/2 (x + sqrt(5 x^2 + c_1))
A construction crew is placing a square in a wall for a new window.
The window is 3 1/8 feet wide.
The wall has a length of 11 3/8 feet.
The crew wants to position the window at the center of the wall.
How far from each edge of the wall should the window be positioned?
Answer:
4 1/3 feet
Step-by-step explanation:
11 3/8 - 3 1/8 = 8 2/3
8 2/3 / 2 = 4 1/3
CORRECT AND SERIOUS ANSWERS ONLY ORELSE REPORT
Answer:
fraction: 98/100 = 49/50decimal: 0.98percent: 98%Step-by-step explanation:
The fraction will represent the number of shaded squares over the total number of squares. You have correctly identified it as 98/100. That fraction can be reduced, if you like, to 49/50.
The pronunciation of your fraction is "ninety-eight hundredths." The decimal number with that same pronunciation is 0.98.
The symbol % and the symbol /100 have identical meaning. This makes them essentially interchangeable.
98/100 = 98%
Your numbers are ...
98/100 (or 49/50), 0.98, and 98%.
_____
Additional comment
We have shown you that % is a shorthand way to write /100. There is another similar symbol: ‰ is shorthand for /1000.
1/100 is one percent. 1/1000 is one mil.
Determine the type of transformation.
Two shapes that look like the letter L. The first shape is the letter L with black continuous lines and the L points to the East. The second shape is also the letter L and it is red with dotted lines, and it is attached to the top of the first L but this L is pointing upwards. Two shapes that look like the letter L. The first shape is the letter L with black continuous lines and the L points to the East. The second shape is also the letter L and it is red with dotted lines, and it is attached to the top of the first L but this L is pointing upwards.
reflection
rotation
translation
none of these
Monica is mixing some custom-colored paint for her house. The color she wants requires 3∕4 ounce of blue dye and 2∕3 of an ounce of pink dye mixed with each gallon of white paint base. How much dye is needed to mix 8 gallons of paint?
WILL MARK AS BRAINLIEST
The points (-7,r) and (-3, 4) lie on a line with slope - 3/4.
Find the missing coordinate r
for A (xa ; ya) and B (xb ; yb)
the slope is (yb - ya) / (xb - xa)
here :
slope = - 3/4 = (4 - r) / (-3 - (-7))
(4 - r) / 4 = - 3/4
so 4 - r = - 3
then r = 7
check
points (-7 ; 7) and (-3 ; 4)
slope = (4 - 7) / (-3 - (-7) = -3/4
please help me who ever gets it first gets brainliest
Sofia buys 3.8 pounds of potatoes for $0.85 per pound. Flynn buys 4.2 pounds of potatoes for $0.75 per pound.
How much more does Sofia spend than Flynn?
$0.08
$0.30
$0.72
$0.80
For Sofia:-
3.8lbs=$0.85So
Unit rate=0.85/3.8=$0.224/lbsFor Flynn:-
4.2lbs=$0.75Unit rate=0.75/4.2=0.178$/lbsNow
difference
0.224-0.178=$0.46/lbsEvaluate ∫ sin(x) cos(x) dx by four methods.
a. The substitution u = cos(x)
b. The substitution u = sin(x)
c. The identity sin(2x) = 2 sin(x) cos(x)
d. Integration by parts.
(a) Since u = cos(x) gives du = -sin(x) dx, we have
∫ sin(x) cos(x) dx = - ∫ (-sin(x)) cos(x) dx
= - ∫ cos(x) d(cos(x))
= - ∫ u du
= - 1/2 u² + C
= -1/2 cos²(x) + C
(b) Now u = sin(x) gives du = cos(x) dx, so
∫ sin(x) cos(x) dx = ∫ sin(x) d(sin(x))
= ∫ u du
= 1/2 u² + C
= 1/2 sin²(x) + C
(c) Since sin(2x) = 2 sin(x) cos(x), we have
∫ sin(x) cos(x) dx = 1/2 ∫ sin(2x) dx
Substitute u = 2x, so that du = 2 dx, and
∫ sin(x) cos(x) dx = 1/2 ∫ sin(2x) dx
= 1/4 ∫ 2 sin(2x) dx
= 1/4 ∫ sin(u) du
= -1/4 cos(u) + C
= -1/4 cos(2x) + C
(d) Integrate by parts, setting
u = sin(x) ==> du = cos(x) dx
dv = cos(x) dx ==> v = sin(x)
Then
∫ sin(x) cos(x) dx = sin²(x) - ∫ sin(x) cos(x) dx
2 ∫ sin(x) cos(x) dx = sin²(x) + C
∫ sin(x) cos(x) dx = 1/2 sin²(x) + C
The solutions in (b) and (d) are identical, but all 4 are equivalent, and this follows from the identities,
sin²(x) + cos²(x) = 1
cos(2x) = cos²(x) - sin²(x)
Solve: 80 ≥ -8(w - 8) Solve: 80 ≥ -8(w - 8) w ≥ -2 w > -2 w < -2 w ≤ -2
80 >= -8(w-8)
Use distributive property:
80 >= -8w + 64
Subtract 64 from both sides:
16 >= -8w
Divide both sides by -8:
-2 >= w
Because the division was done using a negative value the inequality gets reversed:
w >= -2
Answer : w >= -2
What type of transformation of △ABC results in △A′B′C′ ? reflection rotation translation I don't know. Two triangles on the coordinate plane. Triangle A B C is formed by the points A at 1 comma 2, B at 3 comma negative 1, and C at 5 comma 1. Triangle A prime B prime C prime is formed by the points at A prime 2 comma negative 1, B prime at negative 1 comma negative 3, and C prime at 1 comma negative 5.
Using translation concepts, it is found that a 90º clockwise rotation of the triangle around the origin took place.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, considering the points on triangles ABC and A'B'C', the change is modeled by:
(x,y) -> (y, -x).
Which is a 90º clockwise rotation of the triangle around the origin.
More can be learned about translation concepts at https://brainly.com/question/4521517
John had $20. He earned $5, spent $10, earned $5 again, and then spent $3. After this series of earnings and expenses, how much money did he owe or have left?
Answer:
$17
Step-by-step explanation:
So first
The total money John have is $20
then he earned $5 which means $20+$5 = $25
After that he spent $10 = $25- $10 = $15
Again earned $5 = $15+$5=$20
At last spent $3 = $20-$3=$17
Hence the total money he owe or have left is $17
sarah and Noah work at Read
That's the question????
How tall would a building have to be if, after hitting the ground ten times, the ball bounces to 1 m? Is there a building this tall?
The building should be 1.024 meters high and unfortunately there are no buildings with such height in the world.
How to estimate the height of a building by geometric progressionsIn this question we must use definition of geometric progression to predict initial height ([tex]h_{o}[/tex]), in meters, in terms of current height ([tex]h[/tex]), in meters, and number of bounces experimented by the ball ([tex]n[/tex]). The expression is described below:
[tex]h = h_{o}\cdot \left(\frac{1}{2} \right)^{n}[/tex] (1)
If we know that [tex]n = 10[/tex] and [tex]h = 1\,m[/tex], then the initial height is:
[tex]1 = h_{o}\cdot \left(\frac{1}{2} \right)^{10}[/tex]
[tex]h_{o} = 2^{10}[/tex]
[tex]h_{o} = 1024\,m[/tex]
The building should be 1.024 meters high and unfortunately there are no buildings with such height in the world. [tex]\blacksquare[/tex]
RemarkThe statement is incomplete, complete form is shown below:
A ball falls from the roof of a building and bounces half as high each time. How tall would a building have to be if, after hitting the ground ten times, the ball bounces to 1 meter? Is there a building this tall?
To learn more on geometric series, we kindly invite to check this verified question: https://brainly.com/question/15130111
1) State the slope and y-intercept of: y = 2x - 4*
Your answer
Answer:
slope=2 y-intercept=4
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-4,2) and (2,-6)
Answer:
10
Step-by-step explanation:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let [tex](x_1,y_1)[/tex] = (-4, 2)
Let [tex](x_2,y_2)[/tex] = (2, -6)
Substituting given points into the formula:
[tex]\implies d=\sqrt{(2-(-4))^2+(-6-2)^2}[/tex]
[tex]\implies d=\sqrt{(6)^2+(-8)^2}[/tex]
[tex]\implies d=\sqrt{36+64}[/tex]
[tex]\implies d=\sqrt{100}[/tex]
[tex]\implies d=10[/tex]
What is the value of h in the figure below? In this diagram, ABAD - ACBD.
h
16
C
25
A.
16
9
B. 400
C. 12
D.
9
E. 225
0 0
F. 16
Answer:
h =12
Step-by-step explanation:
[tex]In\: \triangle ABC, \: \angle ABC = 90\degree \: \&\:\\ BD\perp AC[/tex]
Therefore, by geometric mean property:
[tex]BD = \sqrt {AD\times CD} \\
h = \sqrt {(AC-CD) \times CD} \\
h = \sqrt {(25-16) \times 16} \\
h = \sqrt {9 \times 16} \\
h = \sqrt {144} \\
\huge \red {\boxed {h = 12}} \\
[/tex]
Answer:
Step-by-step explanation:
12
9x-8y= 1
18x - 16y= 2
Answer:
all real numbers.
Step-by-step explanation:
9x - 8y = 1
18x - 16y = 2
if you look at the first equation, you can figure out what y equals.
9x - 8y = 1
add 8y to both sides
9x = 1 + 8y
subtract 1 from both sides
9x - 1 = 8y
divide both sides by 8
[tex]\frac{9x - 1}{8}[/tex] = y
now, substitute y in the second equation.
18x - 16y = 2
18x - 16([tex]\frac{9x - 1}{8}[/tex]) = 2
18x - 2(9x - 1) = 2
18x - 18x +2 = 2
2 = 2
the answer is all real numbers, because regardless of what x equals, 2 will always equal 2.
Plzzzzzzzzzzzzzz help mee plzzzzzzzzzzzzzz
First, you want to find the area of the entire thing first.
The length adds up to 14, the width to 10. Multiply and you get 140 as the total area.
Now to get rid of the flower bed is simple, 8 Multiply to 3 which makes 24, then divide by 2 which is 12. Substract 12 to 140 and you get 128.
The formula for a trapezoid is Area= (base1 +base2)/2 times height. Following this, and 5 and 7 which gets 12. divide 12 to 2 and you get 6. 6 times 10 is 60.
Subtract 60 to 128 and you get 68.
Mark best if possible please.
Answer:
68Step-by-step explanation:
First, you want to find the area of the entire thing first.
The length adds up to 14, the width to 10. Multiply and you get 140 as the total area.
Now to get rid of the flower bed is simple, 8 Multiply to 3 which makes 24, then divide by 2 which is 12. Substract 12 to 140 and you get 128.
The formula for a trapezoid is Area= (base1 +base2)/2 times height. Following this, and 5 and 7 which gets 12. divide 12 to 2 and you get 6. 6 times 10 is 60.
Subtract 60 to 128 and you get 68.
.
Lukas is able to package and ship 416 cards in an 8-hour workday. How many cards can Lukas package a ship 32 hours?
Answer:
1664 cards
Step-by-step explanation:
416 divided by 8 is 52 and 52 times 32 is 1664.
Help math math math ASAP
The equation of any straight line can be written as in slope intercept form as -
[tex]\green{ \underline { \boxed{ \sf{y=mx+c}}}}[/tex]
where,
m is its slopec is its y-intercept.Given equation:-
[tex]\begin{gathered}\\\implies\quad \sf 5x+y = 10 \\\end{gathered} [/tex]
Arranging it in slope intercept form by transposing 5x to RHS
[tex]\begin{gathered}\\\implies\quad \sf y = 10 -5x \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf y = -5x +10\\\end{gathered} [/tex]
[tex]\leadsto[/tex]Comparing the equation y = -5x +10 with the standard form of the equation, we get -
[tex]\quad \bull\: \sf m= -5[/tex]
[tex]\quad \bull \: \sf c= 10[/tex]
Thus , 5 is our required answer.
Answer:
[tex]\displaystyle y = -5x + 10[/tex]
Step-by-step explanation:
5x + y = 10
- 5x - 5x
_________
[tex]\displaystyle \boxed{y = -5x + 10}[/tex]
I am joyous to assist you at any time.
How can you convert 12/10 into a decimal
Answer:
1.2
Step-by-step explanation:
can someone help me solve for b? 2(b + 3) = 12
Answer:
[tex]b=3[/tex]
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation.
[tex]2*(b+3)-(12)=0[/tex]
Then solve!
Find the area of the figure.
3inches
5inches
7 inches
7 inches
4 inches
Answer:
26 inches
Step-by-step explanation:
You need to add 3+5+7+7+4= 26 because you need to find the area of the figure which the inches are area to add and get how many inches in the figure. Sorry if you don't get it but the answer is 26 inches.
Evaluate
1/3^-2x^-4y^2 for x = 3 and y = -1.
Answer:
1/9
Step-by-step explanation:
First turn all the negative exponents into positive by flipping the fractions then plug in the given values.
(3/1)^2 * (1/x)^4 * y^2
Simplify to:
9 * 1/(x^4) * y^2
Plug in:
9 * 1/(3^4) * -1^2
Simplify:
9 * 1 * 1/(3^4) = 9/(3^4) = 9/81 = 1/9