Using the z-distribution, it is found that the correct option is:
[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
A confidence interval is given by:
[tex]p \pm zs[/tex]
In which:
p is the estimate of the proportion.z is the critical value.s is the standard error.In this problem, the proportions are:
A proportion [tex]p_1[/tex] in a sample of size [tex]n_1[/tex].[tex]p_2[/tex] in a sample of size [tex]n_2[/tex].Hence, the standard errors are:
[tex]s_1 = \sqrt{\frac{p_1(1 - p_1)}{n_1}}, s_2 = \sqrt{\frac{p_2(1 - p_2)}{n_2}}[/tex]
When two proportions are subtracted, the estimate is the subtraction of proportions, while the standard error of the subtraction is the square root of the sum of each standard error squared, hence:
[tex]p = p_1 - p_2[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
Thus, the interval is:
[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
A similar problem is given at https://brainly.com/question/12517818
Please help me as soon as possible.
[tex]\begin{array}{llll} x~-2y=-13\\ 5x+2y=-17\\ \cline{1-1} 6x+0y=-30 \end{array}\qquad \implies 6x=-30\implies x=\cfrac{-30}{6}\implies x=-5 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting on the 1st equation}}{(-5)-2y=-13\implies }-2y=-8\implies y = \cfrac{-8}{-2}\implies y = 4 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (-5~~,~~4)~\hfill[/tex]
Which graph represents the function?
Answer:
I believe it's the middle graph. since their is a closed dot on the first line and the other 2 inequality symbols indicate that their are 2 open dots, I think the middle is correct
PLZ HELP WITH ME WITH MY MATH HOMEWORK!!!!! SHOW WORK!!!!!
Explanation:
(I). 5/6 (4X+8) = (3/8) X - (1/4)
→ [{5(4X) + 5(8)}/6] = (3/8)X - (1/4)
→ [{20X + 40}/6] = (3/8)X - (1/4)
→ [{(20X/6) + (40/6) = (3/7)X - (1/4)
Now,
shift all variables fraction on LHS and constant fraction on RHS.
→ [(20X/6) - (3X/7)]= -(1/4) - (40/6)
Take the LCM of LHS denominator of 6&7 is 42.
→ [(140X - 18X)/42] = -(1/4)-(40/6)
→ [(122X)/42] = -(1/4)-(40/6)
Again take the LCM of the denominator in RHS i.e 4&6 is 12.
→ [(122X)/42] = (-12 - 80)/4
→ [(122X)/42] = (-92)/4
By doing Cross multiply the fraction, we get
→ 4(122X) = 42(-92)
→ 488X = -3 864
→ X = -3 864÷488
Therefore, X = -3864/488
Answer: Hence, the value of X for the given problem is -3864:488.
Explanation:
ii)Given algebraic equation is: 5(3p-5)+4p=5p-6(p+4)
→ 15p - 25 + 4p = 5p - 6p + 24
Shift all variables in LHS and constant on RHS.
→ 15p + 4p +6p = 25+24
→ 19p + 6p = 49
→ 25p = 49
Shift the number 25 from LHS to RHS.
Therefore, p = 49/25.
Answer: Hence, the value of P for the given algebraic equation is 49/25.
Find the perimeter and area of this polygon.
Answer:
perimeter=114
AREA= 308
Step-by-step explanation:
A^2 + B^2=C^2
then A+B=+C= P for triangle
52= triangle perimeter
rectangle:
(l+w)*2=p for rectangle=62
then add 52+62= 114
AREA- Triangle
b*h/2
22*10=220
220/2
= 110
AREA- Rectangle
l*w=A
22*9=198
ADD BOTH AREAS
198+110=308
HOPE IT HELPS
Tara scored 6times as many soccer goals as Leah Leah scored 3 goals.How many more goals did Tara score
she will score 18 goals
Step-by-step explanation:
6×3=18
I need help with problem.
Answer:
Reflection across the x-axis
Step-by-step explanation:
Rule of thumb: If the figure is diagonal, it is x-axis, but if it is horizontal, it is the y-axis.
Identify the two statements that contradict each other.
1. AABC is an acute triangle.
II. A, B, and C are coplanar.
III. B is the midpoint of AC.
find the equation of a circle (3,2) (1,4)
Answer:
y = −x + 5
Explanation:
Use the slope formula and slope-intercept form y = mx + b to find the equation.
Hope this helped. Have a good one!
Need answer please help if you can.
Answer:
hello what the answer is B 3 because i knowdis that the answer is correct how i know is because i done it a piece of paper and my answer that i got was B
Step-by-step explanation:
Which graph corresponds with the inequality x< 10 ?
Answer:
C
Step-by-step explanation:
What is the product of y and 10
Answer:
10y
Step-by-step explanation:
product means to multiply so you would multiply y and 10 so the options would be
10y
y x 10
100 POINTS AND BRANIEST
3) Compare the two groups of data. Which BEST describes data? A) on average boys are 3 centimeters taller than girls B) on average boys are 6 centimeters taller than girls C) on average boys are 9 centimeters taller than girls D) on average boys are 12 centimeters taller than girls
B
Step-by-step explanation:
calculate how long the lines are
Answer:
A 3-column table with 4 rows. Column 1 is labeled Number of Girls with entries 2, 8, 0, 4. Column 2 is labeled Height in Inches with entries 51, 52, 53, 54. Column 3 is labeled Total Height with entries 102, 416, 0, 216. The national average height for girls in the sixth grade is also 52 inches. Find the average height of the girls in this class. The total number of girls is . The total height of the girls is inches. The expression to find the mean is . The average height of the girls in this class is inches.
Step-by-step explanation:
mark me brainliest ok
Am stuck on this question, please help:
5 to the power of 11
Simplify. Show all steps
-25y - (5y - 41)
Please help me! The width of a rectangle is 7y-3.5 feet and the length is 3.5y+10 feet. Find the perimeter of the rectangle
Answer:
7y-3.5+7y-3.5+3.5y+10+3.5y+10
Step-by-step explanation:
21y+13
pls brainliest
The function h(t) = -16t2 + vt + 10 gives the height of a platform diver above the water, in teet, t seconds
after the diver leaves the platform with an initial velocity, w, in feet per second,
If overline BE || overline CD , find the perimeter of triangle ACD . А 6 4 B 10 E x - 4; x - 2 y D 24 20
The perimeter of a triangle is the sum of its side lengths.
The perimeter of triangle ACD is 40 units
Start by calculating the values of x and y, using the following equivalent ratios
[tex]6 : 4 = x - 2 : x - 4[/tex]
[tex]6 : 10 = 6 + x - 2 : y[/tex]
So, we have:
[tex]6 : 4 = x - 2 : x - 4[/tex]
Express as fraction
[tex]\frac 64 = \frac{x-2}{x-4}[/tex]
Cross multiply
[tex]6x - 24 = 4x - 8[/tex]
Collect like terms
[tex]6x - 4x = 24 - 8[/tex]
[tex]2x = 16[/tex]
Divide both sides by 2
[tex]x = 8[/tex]
Also, we have:
[tex]6 : 10 = 6 + x - 2 : y[/tex]
Express as fraction
[tex]\frac 6{10} = \frac{6 + x -2}{y}[/tex]
Substitute 8 for x
[tex]\frac 6{10} = \frac{6 + 8 -2}{y}[/tex]
[tex]\frac 6{10} = \frac{12}{y}[/tex]
Cross multiply
[tex]6y = 120[/tex]
Divide both sides by 6
[tex]y = 20[/tex]
The perimeter of triangle ACD is then calculated as:
[tex]P =6 + x - 2 + y + x - 4 + 4[/tex]
Substitute values for x and y
[tex]P =6 + 8 - 2 + 20 + 8 - 4 + 4[/tex]
[tex]P =40[/tex]
Hence, the perimeter of triangle ACD is 40 units
Read more about perimeter at:
https://brainly.com/question/19576164
5th Grade Science Very Easy plz help me :3 NO LINKS
What makes a balloon electrically charged?
Adding more air to the balloon
Placing the balloon against a wall
Rubbing the balloon against your hair
Running water over the balloon
Answer:
rubbing it against your hair it causes friction and with friction comes energy
A shed has dimensions of 12m in length and 5 m in width. Both the length and
width are increased by the same amount in order to increase the floor area by
more than double the original area. What is the amount of the increase in length?
Answer:
Length = 24
Step-by-step explanation:
It says, " Both the length and width are increased by the same amount..." this means that both 12m and 5m were increased. So 12 + 12 = 24 and 5 + 5 = 10.
lol Looks like someone has the same math assignment as me
I NEED HELP PLEASEEEEEEEE÷E
Answer:
C = -1 1/9° or -1.11°
Step-by-step explanation:
Use the formula given, and input 30 for F
[tex]C = 5/9(F - 32)\\\\C = 5/9(30 - 32)\\\\C = 5/9(-2)\\\\C = -10/9 = -1 \frac{1}9 = -1.11[/tex]
30°F ≈ -1.11°C
-Chetan K
This value is approximate.
==================================================
Explanation:
You're given a temperature of 30 degrees F and your teacher wants to know the Celsius version of this temperature. Plug in F = 30 and simplify.
[tex]C = \frac{5}{9}(F-32)\\\\C = \frac{5}{9}(30-32)\\\\C = \frac{5}{9}(-2)\\\\C \approx 0.5555*(-2)\\\\C \approx -1.111\\\\[/tex]
The temperature 30 degrees F converts to approximately -1.111 degrees C. Fahrenheit temperatures below 32 degrees are below 0 when converted over to Celsius.
What is the quotient ?
7 with a power of -6 over 7 with a power of 2
Answer: [tex]\frac{1}{7^8}[/tex] or [tex]\frac{1}{5764801}[/tex]
Step-by-step explanation:
First, since the two roots (7) are the same, you subtract the exponents, which gives you -6 - 2 to get -8, giving you [tex]7^{-8}[/tex]
Next, you change [tex]7^{-8}[/tex] to [tex]\frac{1}{7^8}[/tex] or [tex]\frac{1}{5764801}[/tex]
I hope that helps :)
Chandra has 15 feet of ribbon to make bows for 6 teams how much ribbon can she use for each bow if she cuts the ribbon into equal pieces
Answer:
2.5 feet for each bow
Step-by-step explanation:
15/6= 2.5
HELP FAST ANYONE OLEASE I HAVE LIKE 2 minutes too answer !!
Answer: c
Step-by-step explanation: I JUST ANSWERED BOTH PARTs
PLEASE HELP ME I'M GIVING OUT LOTS OF POINTS!!
Answer:
(d) a1 = 11
Step-by-step explanation:
Put the numbers in the given formula and solve for a1.
a5 = 176 = a1(r^(5-1)) = a1·r^4
a7 = 704 = a1(r^(7-1)) = a1·r^6
Dividing a7 by a5 gives ...
a7/a5 = (a1·r^6)/(a1·r^4) = r^2 = 704/176 = 4
Then a1 is ...
a1 = a5/(r^4) = 176/(r²)² = 176/(4²) = 11
The first term is 11.
Hi, mal :> hehehe
( its [tex]a_{1} = -11[/tex])
Your welcome..... ;]
Plssss help!!! Asap tyyy.
Answer:
1):Reaction
2):Action
3):Thought
4): Dialogue
Step-by-step explanation:
Answer:
Mrs. Boggs's generously inspired us to study harder - Reaction Mrs. Boggs agreed to tutor us all before the test - Action I believe that Mrs. Boggs is the most caring teacher I know - Thought "Of course I will tutor you before the test" she said - DialogueStep-by-step explanation:
Hoped this helped.
Chi is planning to put a path of paving stones through her flower garden. The flower garden is a square with sides of 15 feet. How many feet long will the path be?
15 POINTS AND BRANLIEST
Find the area of the figures below
[tex]Area = \frac{(6 + 10) \times 7}{2} \\ [/tex]
[tex]Area = \frac{16 \times 7}{2} \\ [/tex]
[tex]Area = \frac{2 \times 8 \times 7}{2} \\ [/tex]
[tex]Area = 8 \times 7[/tex]
[tex]Area = 56 \: \: {in}^{2} [/tex]
Answer:
Area: [tex]56in^2[/tex]
Step-by-step explanation:
The formula for the area of a trapezoid is:
[tex]A = \frac{a+b}{2}h[/tex]
so replacing with the given values we get:
[tex]a = 6in\\h = 7in\\b = 10in[/tex]
[tex]A = \frac{6in+10in}{2}7in = 56in^2[/tex]
So our final answer is [tex]56in^2[/tex]
Researching the 21st century in UAE
Can anybody help me with this pls?
a plane intersects the coordinate axes at the point (2,0,0), (0,3,0) and (0.0.4) the obteined point is ax+by+cz+d, find value of d
Answer:
d = 12
Step-by-step explanation:
In intercept form, the equation of the plane is ...
x/a +y/b +z/c = 1 . . . . . for x, y, z intercepts a, b, c
You have (a, b, c) = (2, 3, 4), so the equation of the plane is ...
x/2 +y/3 +z/4 = 1
Multiplying by 12 gets rid of the fractions and puts the equation in standard form:
6a +4y +3z = 12
The value of d is 12.
What is the measure of _XYZ?
X
172
y
O A. 17°
V.
O B. 72°
55°
O C. 55°
w
D. 360
Answer: 35°
Step-by-step explanation: We have to find the measure of angle XYZ. We know, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles. Therefore, the value of ∠XYZ = 35°.
I hope this helps!
-Notsonerdy