Answer:
The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.
Step-by-step explanation:
Let p1 be the sample of 1000 adults chosen in 2012 and
p2 be the sample of 1100 adults chosen in 2010
Part a:
The hypothesis that can be used to test for a significant difference between the population proportions for the two years is:
H0: p1-p2= 0 against the claim Ha: p1-p2≠0
Part b:
The sample proportion indicating that their financial security was more that fair in 2012 is
p1^= 410/1000= 0.41
In 2010 is:
p2^= 385/1100= 0.35
Part c:
p^c= 410+385/1000+1100= 0.3785
q^c= 1-p^c= 1-0.3785= 0.6124
The critical region is z > ±1.96
The test statistic is
z= p1^- p2^ / sqrt ( p^cq^c( 1/n1+ 1/n2)
z= 0.41-0.35 /sqrt( 0.3785*0.6124(1/1000 +1/1100)
z= 0.06 / 0.021036
z= 2.85
Conclusion
The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.
P- value : 0.00466
The result is significant( accept the null hypothesis) for value less than 0.05
Part d:
2012 2010
Sample 1000 1100
Proportions 0.41 0.35
Standard Error √0.41( 0.59)/1000 √0.35( 0.65)/1100
= 0.0155 0.01438
Standard Error for the difference = √0.0155² + 0.01438² =0.0211
p1-p2 ± z* standard error for the difference
0.41-0.35 ± 1.96 *( 0.0211)
0.06 ± 0.041356
-0.018644, 0.101356
The 95 % confidence interval estimate is (-0.018644, 0.10135
] 8 Which expression is equivalent to 12x + 3y - 9x ?
А. 3x + Зу
В. бxy
С. 12х – бу
D. x+y
What is the coefficient in the following expression
5+3x+ (-3)
Answer:
The coefficient is 3.
Step-by-step explanation:
The coefficient is the number that is grouped with an unknown number represented by a letter.
For which intervals the graphs of the functions f(x) = x^3 + x^2 - 4x - 4 is positive
Step-by-step explanation:
Consider a function
f
(
x
)
which is twice differentiable. The graph of such a function will be concave upwards in the intervals where the second derivative is positive and the graph will be concave downwards in the intervals where the second derivative is negative. To find these intervals we need to find the inflection points i.e. the x-values where the second derivative is 0.
multiply c by 9, then add 2 to the result
Answer:
9c+2
Step-by-step explanation:
Simplify
3x- 2z+- 2z- 4z- 3z
Answer: hi
The answer will be 3x−11z
Step-by-step explanation:
have a great day ^_^
solve all 5 questions for 62 points if they are correct you will be marked brainiest
Answer:
1.0.003
2.40 minutes
3.a,e
4.a,c,d
5.1/24
Step-by-step explanation:
PLEASE HELP FAST
2. Which of the following is the difference of two squares?
49m2 + 81n?
9a? - 466
99
36h
2x2 – 6y?
last year, Nicole biked n miles. This year, she biked 524 miles. Using n, write an expression for the total number of miles she biked.
Answer:
n+524
Step-by-step explanation:
you add both years worth of biking together!
(5x³-7x²+3x-4)-(8x³+2x²+3x-7)
Answer: =−3x^3−9x^2+3
Step-by-step explanation:
Distribute the Negative Sign:
=5x^3−7x^2+3x−4+−1(8x^3+2x^2+3x−7)
=5x^3+−7x^2+3x+−4+−1(8x^3)+−1(2x^2)+−1(3x)+(−1)(−7)
=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7
Combine Like Terms:
=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7
=(5x^3+−8x^3)+(−7x^2+−2x^2)+(3x+−3x)+(−4+7)
=−3x^3+−9x^2+3
cual es la longitud del alambre que sostiene un poste de 8 m de altura , si dicho alambre esta amarrado al suelo a 4m del poste
Answer:
La longitud del alambre que sostiene el poste es 8.94 metros.
Step-by-step explanation:
La longitud del alambre se puede calcular usando Pitágoras:
[tex] L^{2} = P^{2} + B^{2} [/tex]
En donde:
L: es la longitud del alambre =?
P: es la altura del poste = 8 m
B: es la distancia del alambre al poste = 4 m
Entonces, la longitud del alambre es:
[tex] L = \sqrt{P^{2} + B^{2}} = \sqrt{(8 m)^{2} + (4 m)^{2}} = 8.94 m [/tex]
Por lo tanto, la longitud del alambre que sostiene el poste es 8.94 metros.
Espero que te sea de utilidad!
a. Find the value of x
below
#The x side is same with 80° so
11x + 3 = 80°
11x = 80 - 3
11x = 77
x = 7
Answer : 7Lizette earns $10 in gas money for driving to babysit and then earns $8 for each hour she
babysits the kids. How much money will she make for 5 hours of babysitting?
Answer:
$30
Step-by-step explanation:
8 x 5 = 40
40 - 10 = 30
Find the value of z in parallelogram CDEF
Answer:
z = 13
Step-by-step explanation:
Opposite sides of a parallelogram are equal. Therefore:
3z = z + 26
Subtracf z from each side
3z - z = 26
2z = 26
z = 26/2
z = 13
Which of the following is the expansion of
(2x + 3)^3?
I think the answer is 8×^3+36×^3+54×+27. If the answer is wrong then I'm sorry
Answer:
8x^3 + 36x^3 + 54x + 27
Step-by-step explanation:
If you're asking to expand the equation the answer is 8x^3 + 36x^3 + 54x + 27
Please help me with this question what’s 84 + 6 1/3
Answer:
90 1/3
Step-by-step explanation:
Answer: Mixed number form = 90 1/3
Decimal form = 90.3 with a repation bar
Actual Form = 271 / 3
Step-by-step explanation:
Name the following segment or point.
Given:
L, M, N are midpoints
Р
M
A
R
N
B
altitude to AC
segment BT
O segment AS
segment BL
Answer:
should be segment BT, that's what i put and it was right. hope this helps
Step-by-step explanation:
The altitude to the line segment AC is line segment BL.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, L, M, N are midpoints.
We know the altitude of a triangle is a line segment that originates from one vertex of a triangle and bisects the opposite side of the triangle.
By observing the given figure we conclude that the altitude to the line segment AC is the line segment BL.
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A line segment has an endpoint at (-7, 11) and (-6, 4), what is the length of
the segment?
Answer:
d = 5√2 units
Step-by-step explanation:
Let's use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the values with your endpoints.
d = √[(-6 - (-7))² + (4 - 11)²]
Solve within the parentheses.
d = √[(1)² + (-7)²]
Solve the exponents.
d = √[1 + 49]
Solve within the brackets.
d = √50
Simplify the square root.
25 • 2 = 50
√25 • √2 = √50
5 • √2 = √50
d = 5√2 units
Hope this helps!
What is the equation for the line of reflection?
x=6
hopefully im not wrong^^
The area of a circle is 641 ft2. What is the circumference, in feet? Express your
answer in terms of
Step-by-step explanation:
Given
Area of a circle (A) = 641 ft²
Circumference (C) = ?
We know
πr² = 641
r² = 641 / 3.142
r² = 204
r = 14.28 ft
Now
Circumference
= 2πr
= 2 * 3.14 * 14.28
= 89.68 ft
Hope it will help :)
Answer:
The circumference is 89.68 ft.
What is the opposite of this integer: 180,000
Answer:
-180000
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the blue graph? 
Answer:
c
Step-by-step explanation:
Factor out the greatest common factor from –12a – 8a2.
Question 3 options:
A)
–4a(3 + 2a)
B)
2a(6 – 4a)
C)
–2a(6 + 4a)
D)
4a(3 – 2a)
Answer:
A -4a(3 + 2a)
Step-by-step explanation:
-12a - 8a^2) factor out a -4
-4(3a + 2a^2) factor out an a
-4a(3 + 2a)
One number is 9 more than twice the other number. Their sum is 54. Find the numbers.
Answer: The Numbers are 15 and 39
Step-by-step explanation: 2(15) + 9 = 39
Please help me it hard
Sarah is going to invest $8,600 and leave it in an account for 16 years. Assuming the
interest is compounded annually, what interest rate, to the nearest tenth of a percent,
would be required in order for Sarah to end up with $18,500?
Answer:
4.9%
Step-by-step explanation:
what is the area of 5m, 17m, 8m, and 5m, the shape is a kite
Answer:
It can't be a kite. A kite has 2 pairs of equal sides.
Step-by-step explanation:
hitunglah luas permukaan balok dengan ukuran sebagai berikut
a. 8 cm × 4 cm × 2cm
B. 8 cm × 3 cm × 4 cm
jawaban
a. = 112 cm²b. = 136 cm²penjelasan langkah demi langkah( step by step explanation )
Total Luas Permukaan = 2 (Panjang x Lebar + Lebar x Tinggi + Panjang x Tinggi)
a.Luas Permukaan = 2( 8×4 + 4×2 + 2×8 )
= 2 ( 32 + 8 + 16 )
= 2 × 56
= 112 cm²b.Luas Permukaan = 2( 8×3 + 3×4 + 4×8 )
= 2 ( 24 + 12 + 32 )
= 2 × 68
= 136 cm²
Find the length of AB when A(-4,1) and B(3,-1). Round to the nearest tenth (one decimal place) if necessary.
Answer:
7.3 units is the answer rounded
When A(-4,1) and B(3,-1), the length of AB is approximately 7.3 units.
What is distance formula?The distance formula is a mathematical formula that is used to compute the distance between two points in a coordinate plane.
This formula is derived from the Pythagorean theorem, which states that the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the other two sides.
We can use the distance formula to find the length of AB:
[tex]d = \sqrt{ ((x2 - x1)^2 + (y2 - y1)^2)}[/tex]
Where (x1, y1) = (-4, 1) and (x2, y2) = (3, -1)
d = sqrt([tex](3 - (-4))^2 + (-1 - 1)^2[/tex])
= sqrt([tex]7^2 + (-2)^2[/tex])
= sqrt(49 + 4)
= sqrt(53)
≈ 7.3 (rounded to one decimal place)
Therefore, the length of AB is approximately 7.3 units.
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How many times greater is the area of Circle 1 than the area of Circle 2?If circle ones radius is 9 and circle twos radius is 3
It is 9 fr 100% pls trust me
The area of the circle {1} is 9 times greater than circle {2}.
What is Area?
Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is to find how many times greater is the area of circle 1 than the area of circle 2 if circle ones radius is 9 and circle twos radius is 3.
We can write the areas of both the circles as -
A{Ο} = πR²
A{Ο1} = π x 9 x 9
A{Ο2} = π x 3 x 3
We can write -
A{Ο1} / A{Ο2} = {π x 9 x 9} / {π x 3 x 3}
A{Ο1} / A{Ο2} = 9
A{Ο1} = 9A{Ο2}
Therefore, the area of the circle {1} is 9 times greater than circle {2}.
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ss of
3. In a class of 50 students, 40 % are girls. Find the number of girls and
number of boys in the class?
Solution:
Answer:
20 boys in the class
Step-by-step explanation:
40% of 50 is 20