Step-by-step explanation:
Sample proportion [tex]\hat{p} = 260/380 = 0.684[/tex]
90% confidence interval for p is
[tex]\hat{p} - Z\times \sqrt(\hat{p}( 1 - \hat{p}) / n) < p < \hat{p} + Z\times \sqrt(\hat{p}( 1 - \hat{p}) / n)[/tex]
[tex]0.684 - 1.645\times \sqrt ( 1 -0.684) / 380) < P < 0.684 + 1.645\times \sqrt ( 1 -0.684) / 380)[/tex]
0.645 < p < 0.723
Interpretation - We estimate with 90% confidence that the true population proportion of people who plan on voting yes on the levy between 0.645 and 0.723.
Please answer this correctly
The correct answer is 5.5988 x [tex]10^{-3}[/tex] = 0.0055988
Explanation:
In mathematics and related areas, it is common the expression [tex]10^{n}[/tex] (n = a whole number) that multiplies a number, this is known as scientific notation, and it used to express long numbers concisely. This type of notation implies the exponent number or n represents the number of zeros in the number or the number of spaces after/before the decimal period.
Additionally, if the exponent is positive this means the zeros are placed to the right of the number, while a negative exponent shows the zeros are on the left. For example 7 x [tex]10^{3}[/tex] is equal to 7000 because the exponent indicates there are three zeros to the right of 7 or you need to move three spaces the period to the right, which is located right after 7. According to this, the expression 5.5988 x [tex]10^{-3}[/tex] indicates there are 3 zeros to the left of this number or that you need to move three spaces the period and add zeros in these spaces, which is equal to 0.0055988. Therefore, both numbers are equal (=)
Which is true about all quadratic equations that contain a difference of squares? Only the value of c is a perfect square. Only the value of a is a perfect square. The value b=0. The value |b|=2[tex]\sqrt{a} \sqrt{c}[/tex]
Answer:
b = 0
Step-by-step explanation:
The standard form of a regular quadratic equation is ax² + bx + c and the standard form of the difference of squares is ax² - c. This means that b = 0 because there is no x term.
what is the gfc of 16 and 8
Answer:
Greatest common factor of 16 and 8 is 8 .....Draw an array to find 21÷3
Answer:
21÷3 =9
3×9=21
Therefore the answer is 9 .
Step-by-step explanation:
Hope it works out!Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi = 3.14 in any formulas used.
Answer:
Step-by-step explanation:
The composite shape consists of a semi circle and a triangle. The formula for determining the perimeter of a semicircle is expressed as
Perimeter = 1/2 × 2πr = πr
Since radius, r = 3, then
Perimeter of semi circle = 3 × 3.14 = 9.42 inches
Perimeter of composite shape = 9.42 + 5 + 5 = 19.42 inches
Area of semi circle = 1/2 × πr²
Area of semicircle = 1/2 × 3.14 × 3² = 14.13 inches²
Area of triangle = 1/2 × base × height
Area of triangle = 1/2 × 6 × 4 = 12 inches²
Area of composite shape = 14.13 + 12 = 26.13 inches²
The perimeter and area of the composite shape is:
B. Perimeter = 19.42 inches; Area = 26.13 square inchesRecall:
Area of a circle = πr²
Perimeter of circle = 2πr
Area of triangle = 1/2(bh)
The composite shape given is composed of a triangle and a semicircle.
Perimeter of the composite shape = Perimeter of semicircle + the length of the two sides of the triangle
Perimeter = 1/2(2 × 3.14 × 3) + 2(5) = 19.42 inches
Area of the composite shape = area of semicircle + area of triangle
Area = 1/2(3.14 × 3²) + 1/2(6 × 4)
Are = 14.13 + 12
Area of the composite shape = 26.13 square inches.
Therefore, the perimeter and area of the composite shape is:
B. Perimeter = 19.42 inches; Area = 26.13 square inchesLearn more about area and perimeter of composite shapes on:
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If a person rolls a six-sided die and then draws a playing card and checks its color, describe the sample space of possible outcomes using 1, 2, 3, 4, 5, 6 for the die outcomes and B, R for the card outcomes.
Answer:
S = {1B, 2B, 3B, 4B, 5B, 6B, 1R, 2R, 3R, 4R, 5R, 6R}
Step-by-step explanation:
The sample space is the set of all possible outcomes in the experiment of rolling a six-sided die and then drawing a playing card and checking its color.
There are 6 possible outcomes for the die roll and two for the color of the card, which yields a total of 12 possible outcomes. The sample space is:
S = {1B, 2B, 3B, 4B, 5B, 6B, 1R, 2R, 3R, 4R, 5R, 6R}
What measurement is a perfect square
Answer:
The area of a rectangle with length of 5 and width of 5.
Step-by-step explanation:
A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself.
area = lxw
A=5x5 (5 times itself)
A=25
therefore it is a perfect square
b I just did the unit test review this morning
What is the length of MO, given that figure LMNO is a square?
Answer:
8
Step-by-step explanation:
putting it simple without any terms, half of the line LN is 4, all the other lines inside the rectangle are equal, so just double the length for the length of MO for the answer, 8
The length of the diagonal MO in the provided figure of square LNMO is 8 units long. Option C is correct.
What is the diagonal of a square?The diagonal of the square is the distance from opposite vertices of it. The length of both the diagonals of the square is equal in length and bisect each other at the intersection point.
In the given image, the length figure LMNO represent a square, The length of the LM is,
[tex]LG=4\rm \; units[/tex]
In the image, point G is the intersection point of the diagonal of the square.
As the diagonals of the square bisect each other at the intersection point. The length of LN is,
[tex]LN=2\times LG\\LN=2\times4\\LN=8[/tex]
The length of both the diagonals of the square is equal in length. Thus,
[tex]MO=LN\\MO=8[/tex]
Hence, the length of the diagonal MO in the provided figure of square LNMO is 8 units long. Option C is correct.
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Help?????????????????????
Answer:
no
Step-by-step explanation:
your answer is correct
we have more than one y for one x.
then it's not a function
Simplify: 1. 4x−(1−2x)+(2x−7) 2. (3−0.4a)−(10−0.8a)
Answer:1.8(x -1)
2.0.4a -7
Step-by-step explanation:
Equations and Functions
Answer:
Subtract the 2w to both sides of the equal sign.
Step-by-step explanation:
Since we want the equation to be in terms of l, we need to isolate the term first. To do so, we will need to subtract 2w on both sides to start out.
An observer for a radar station is located at the origin of a coordinate system. Find the bearing of an airplane located at the point (0,negative 4). Express the bearing using both methods.
Answer:
Step-by-step explanation:
I can help
One of the space shuttle’s external tanks can carry up to 200,000 gallons of fuel. It used 170,000 gallons of fuel in this tank to leave the atmosphere. What percentage of the fuel capacity does the shuttle still have?
Answer:
15%
Step-by-step explanation:
The tank's capacity is 200,000 gallons.
170,000 gallons were used.
200,000 - 170,000 = 30,000
30,000 gallons of fuel are still there.
percent = part/total * 100%
percent = 30,000/200,000 * 100% = 15%
Uytteday.com, student/dashboard/home
Probability Models - Tutorial - Level G
If we want to know if my shuffler is playing an equal
number of slow jams, dance music, and jazz songs,
what do we need to collect data on exactly?
Answer:
Ima need the answer too
Step-by-step explanation:
Answer:
the genre
Step-by-step explanation:
What the answer fast
Answer:
∠CDE
Step-by-step explanation:
Name it by the order of the letters with the point of the angle in the middle
What’s the difference between the polynomials ?
Answer:
7x^2-4x+3y^2 ( the ^ means the exponent EX: 5^2 is 5 squared. )
Step-by-step explanation:
Remove the parenthesis (a) = a
12x^2-11y^2-13x- (5x^2-14y^2-9x)
-(5x^2 - 14y^2 - 9x)
Distribute parenthesis
-(5x^2) - (14y^2) - (-9x)
Apply minus - plus rules
-5x^2 + 14y^2 + 9x
= 12x^2 - 11y^2 - 13x - 5x^2 + 14y^2 + 9x
Simplify
12x^2-11y^2-13x-5x^2+14y^2+9x
Group like terms
12x^2-5x^2-13x+9x-11y^2+14y^2
Add similar elements
7x^2-13x+9x-11y^2+14y^2
Add similar elements ( - 13x + 9x = -4x )
7x^2-4x-11y^2+14y^2
Add similar elements 11y^2 + 14y^2 = 3y^2
7x^2-4x+3y^2
Translate the following statements into symbolic form using capital letters to representaffirmative English statement.
If Maria Cantwell promotes alternative energy,then if Patty Murray supports wilderness areas, then Dianne Feinstein's advocating gun control implies that Susan Collins does so,too.
Answer:
Step-by-step explanation:
There are two distinct statements but put together, it is:
- If Maria Cantwell (MC) promotes Alternative Energy (AE) and if Patty Murray (PM) supports Wilderness Areas (WA) then Dianne Feinstein (DF) advocating Gun Control (GC), implies that Susan Collins (SC) does so too.
For Susan Collins, she advocates gun control too.
So the symbolic or algebraic representation is:
(SC = DF): (MC ~ AE), (PM ~ WA)
OR
(GC = GC): (MC ~ AE), (PM ~ WA)
Where ":" represents "such that" or "given that"
" ~ " represents "support or promotion of"
It can now be read thus;
Susan Collins has same or equal interest as Dianne Feinstein, given that Maria Cantwell promotes alternative energy and Patty Murray supports Wilderness Areas.
Samples of rejuvenated mitochondria are mutated (defective) in 1% of cases. Suppose 13 samples are studied, and they can be considered to be independent for mutation. Determine the following probabilities.
(a) No samples are mutated.
(b) At most one sample is mutated.
(c) More than half the samples are mutated.
Step-by-step explanation:
this isn't much I think so this isn't plus how come everything in March
I can't figure this question out I've tried multiple times but only 2/3. Help, please.
Answer:
yes it is 2/3
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree please. Thanks.
Answer:
? = 35°Step-by-step explanation:
Let the angle be x
To find the indicated angle we use sine
sin ∅ = opposite / hypotenuse
From the question
7 is the hypotenuse
4 is the opposite
sin x = 4/7
x = sin-¹ 4/7
x = 34.85
x = 35° to the nearest degree
Hope this helps you
When a number is added to of itself, the result is 24. The equation that models this problem
What is the value n?
n = 18
n = 20
n=217 4/5
n=237 4/5
Answer:
20
Step-by-step explanation:
n=20 it is that answer
Answer:
20
Step-by-step explanation:
20 is equal to n
A ship traveled at an average rate of 25 miles per hour going west. It then traveled at an average rate of 19 miles per hour heading north. If the ship traveled a total of 145 miles in 7 hours, how many miles were traveled heading west?
Answer: 19.5 miles or 108.75 miles
Step-by-step explanation:
Let ship traveled to the west x hours and then to the north y hours. Total 7 hours. So we can write 1st equation
x+y=7 (1)
The ship traveled to the west x hours with speed 25 miles/h - the distance 25*x
The ship traveled to the north y hours with speed 19 miles/hour - the distance 19*y
Note that the angle between north and west directions is 90 degrees.
So if the initial traveling point is A, the final travelling point ic C and the point , where ther the ship has changed the travelling direction from West to North is B.
So we have the right triangle ABC, where B angle is right=90 degrees.
AB side=25*x, BC side= 19*y and AC side 145 miles.
According to Pithagor theorem we can write
AC^2=AB^2+BC^2
21025=625*x^2+ 361*y^2 (2)
Solve the system of equations (1) and (2)
y=7-x
625*x^2+361*(7-x)^2=21025
625*x^2+361*(49-14x+x^2)=21025
625*x^2+17689-5054*x+361*x^2=21025
986*x^2- 5054*x-3336=0 dividing on 2 we'll get
493*x^2-2527*x-1668=0
D=3096433 sqrt(D)=appr 1760
x1=(2527-1760)/493/2= appr 0.78 h
x2=(2527+1760)/493/2=appr 4.35 h
So the problem has 2 solutions :
heading west the ship traveled or 0.78*25= 19.5 miles
Or 4.35*25= 108.75 miles
Answer:
let w = time heading west at 25 mph
the total time is 7 hrs, therefore
(7-w) = time heading north at 19 mph
Distance = speed * time
25w + 19(7-w) = 145
25w + 133 - 19w = 145
25w - 19w = 145 - 133
6w = 12
w = 12/6
w = 2 hrs traveling west
therefore
2 * 25 = mile going west
Confirm this solution, 7 - 2 = 5 hrs going north
19 * 5 = 95mi
25 * 2 = 50mi
--------------
total dist 145 mi
Three students are working to find the solution set of this system of equations:
3y = 6x + 6
y = 2x + 2
Use the drop-down menus to complete the statements about each of their methods.
Pedro Dropdown 1: Intersect, Do not Intersect, Are the same line.
Pedro Dropdown 2: One, Zero, Infinitely many
Amy Dropdown: is, is not
Matt Dropdown 1: Sometimes, Never, Always
Matt Dropdown 2: One, Zero, Infinitely Many
Answer:
Pedro Dropdown 1: they Do not Intersect, they Are the same line
Step-by-step explanation:
3y = 6x + 6
y = 2x + 2
3y-6x = 6... Equation one
y-2x = 2... Equation two
Dividing equation one by 3 gives
Y -2x = 2. Which is same thing with equation 2
So I think the two are same line and do not intersect.
Answer:
Pedro: are the same line, infinitely many
Amy: is
Matt: always, infinitely many
Step-by-step explanation:
PEDRO: Since the lines are on top of one another, there are infinitely many solutions. These lines are called coinciding lines.
AMY: 3y = 6x + 6 is a multiple of y = 2x + 2. When one equation is a multiple of the other, there are infinitely many solutions to the system.
MATT: When the equation 3y = 6x + 6 is divided by 3, the quotient is equal to the first equation. The equations are equivalent, so they describe the same graphed line.
Let ƒ(x) = x + 1 and g(x) = 5x. Evaluate the composition (ƒ ∘ g)(–1). Question 2 options: A) (ƒ ∘ g)(–1) = 6 B) (ƒ ∘ g)(–1) = –4 C) (ƒ ∘ g)(–1) = 4 D) (ƒ ∘ g)(–1) = –6
Answer:
answer B
Step-by-step explanation:
hello,
[tex]f(x)=x+1\\g(x)=5x \ \ so\\(fog)(-1)=f(g(-1))=f(-5)=-5+1=-4[/tex]
so the winner is the answer B
hope this helps
Answer:
D)
(ƒ ∘ g)(–1) = –4
Step-by-step explanation:
A person who yells at an official who made a bad call is just displaying a competitive spirit. Please select the best answer from the choices provided. T F
Answer:
the answer is false
Step-by-step explanation:
FALSE. A person who yells at an official is not showing a competitive spirit.
What is a Competitive Spirit?A competitive spirit shows the following attributes:
Communicates respectShows sportsmanshipValues process among others.A person yelling at an official is not a way of communicating respect. Therefore, it is FALSE to say it is a display of competitive spirit.
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y = 2x^4 convert to polar form
Answer:
The polar form is sinθ = 2 r³cos⁴θ
Step-by-step explanation:
Explanation:-
Given function y = 2 x⁴
Parametric Form x = r cosθ ....(i)
and y = r sinθ ....(ii)
squaring x² = r² cos ²θ
y² = r² sin²θ
adding x² + y² = r² cos ²θ+r² s in²θ
= r²( cos ²θ+s in²θ)
= r²( 1)
x² + y² = r²
Given function y = 2 x⁴
Now convert into polar form
r sinθ = 2 (r cos θ )⁴
r sinθ = 2 (r )⁴cos θ )⁴
sinθ = 2 r ³cos⁴θ
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Sofia
The area of a rectangle is 7/9 square feet. The width of the rectangle is 2 1/3 feet. What is the length of the rectangle?
Answer:
1/3 feet.
Step-by-step explanation:
The length = area / width
= 7/9 / 2 1/3
= 7/9 / 7/3
= 7/9 * 3/7
= 3/9
= 1/3 feet,
At the end of 2019, Mark owes $250,000 on the mortgage related to the 2016 purchase of his residence. When his daughter went to college in the fall of 2019, he borrowed $20,000 through a home equity loan on his house to help pay for her education. The interest expense on the main mortgage is $15,000, and the interest expense on the home equity loan is $1,500. How much of the interest is deductible as an itemized deduction?
Answer:
$15,000
Step-by-step explanation:
The $1500 interest on a home equity loan used for purposes other than home improvement is not deductible with other home loan interest as an itemized deduction.
However, the interest on a loan for qualified educational expenses may be considered an adjustment to income, within limits.
Only the $15,000 main mortgage interest can be an itemized deduction.
PLEASE HELP! Two complementary angles measure (12x - 18) and (5x +23). What is the measure of the smaller angle? (1) 5 (2) 42 (3) 48 (4) 90
Answer:
5
Step-by-step explanation:
firstly, what are complementry angles.complementary angles are angles that su
m up to 90°
(12x-18)+(5x+23)=90
collecting like terms
12x+5x+23-18=90
17x-5-90=0
17x-95=0
17x=95
divide through by 17
x=5
The measure of the smaller angle when complementary angles are given is 42 degree.
Complementary AnglesWhat are complementary angles?Complementary angles are two angles whose total is 90 degrees in geometry. In other terms, complimentary angles are two angles whose sum is 90 degrees. 60° and 30°, for instance.
Calculation for the value of x in the given angles:The first angle of the triangle is (12x - 18).
The measure of the second angle of the triangle is (5x + 23).
As both angles are complementary, their sum would be equal to 90 degree.
(12x - 18) + (5x + 23) = 90
12x - 18 + 5x + 23 = 90
17x = 85
x = 5
Calculation for the angles.Substitute the value of x = 5 in the given angles.
(1) 12x - 18 = 12×5 - 18
= 42 degrees
(2) 5x + 23 = 5×5 +23
= 48 degrees
Therefore, the smaller angle is found to be 42 degrees.
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Rewrite the following statement in the form ∀x ______, if _______ then _______ (where each of the second two blanks are sentences involving the variable x) Every valid argument with true premises has a true conclusion.
Answer:
"Vx: if x is a valid argument with true premises then x has a true conclusion"
In a symbol form
Vx ( P(x) ⇒ 2(x) )
Step-by-step explanation:
The Following statement in the form ∀x ______, if _______ then _______ is a valid argument and this because any valid argument with "true premises" has a "true conclusion" as well
we will rewrite this statement in a universal condition statement form
assume x is a valid argument with true premises
then the following holds true
p(x) : x is a valid argument with true premises
q(x) : x has true conclusion
applying universal conditional statement
"Vx, if x is a valid argument with true premises then x has a true conclusion"
In a symbol form
Vx ( P(x) ⇒ 2(x) )