Using the z-distribution, as we are working with a proportion, it is found that the 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).
What is the mean and the standard error of the distribution of differences?For each sample, the mean and the standard error are given by:
[tex]p_C = 0.0256, s_C = \sqrt{\frac{0.0256(0.9744)}{586}} = 0.0065[/tex]
[tex]p_H = 0.0535, s_H = \sqrt{\frac{0.0535(0.9465)}{467}} = 0.0104[/tex]
Hence, for the distribution of differences, the mean and the standard error are given by:
[tex]p = p_C - p_H = 0.0256 - 0.0535 = -0.0279[/tex]
[tex]s = \sqrt{s_C^2 + s_H^2} = \sqrt{0.0065^2 + 0.0104^2} = 0.0123[/tex]
What is the confidence interval?It is given by:
[tex]p \pm zs[/tex]
In which z is the critical value.
95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
Then, the bounds of the interval are given as follows:
[tex]p - zs = -0.0279 - 1.96(0.0123) = -0.052[/tex]
[tex]p + zs = -0.0279 + 1.96(0.0123) = -0.0038[/tex]
The 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).
More can be learned about the z-distribution at https://brainly.com/question/25890103
Find the value of x in this triangle
Answer:
No you find it jkSum=1802x+2x+x=1805x=180x=36 Two bottom angle are similar 2(36)= 72 The last angle is 36two actions that are inverses of each other and explain how one action "undoes" the other.
Answer:
jayfeather friend me
Step-by-step explanation:
The inverse functions “undo” each other, You can use composition of functions to verify that 2 functions are inverses. When you compose two inverses… the result is the input value of x. 3 3 g x x = Because f(g(x)) = g(f(x)) = x, they are inverses.
Helpp me pleaseee I need it?
Answer:
112 ft.
Step-by-step explanation:
This shape is a trapezoid. To find the area of a trapezoid, use the formula: [tex]\frac{b_{1} + b_{2} }{2} h[/tex]. First find base one. The shape in the middle is a square, so the top side of the trapezoid will be worth 8 ft as well. Now add the two bases 8 + 20 to get 28 and then divide by 2 to get 14. Now multiply 14 by the height (8). 14 x 8 is 112 ft.
Hope it helps and is correct!
If the water flows at 3 gallons per minute.
how much water would be used in 30
minutes?
Answer:
90 gallons
Step-by-step explanation:
Answer:
90 gallons
Step-by-step explanation:
PLEASE HELP ME QUICKLY PLEASE SOMEBODY I WILL GIVE BRAINLIEST
Answer:
.
Step-by-step explanation:
Write 44% as a fraction in simplist form
Answer:
11/25
Step-by-step explanation:
Answer:
11/25
Step-by-step explanation:
44/100 → 22/50→ 11/25
Please help me with this thank you!
Answer:
y = -x + 1
Step-by-step explanation:
y=mx+b
m:slope= rise/run, the line goes down 1 and over 1 so it would be -1/1 which is -1
b:y-intercept: the line crosses the y-axis at 1
plug in m=-1 and b=1 into y=mx+b
y=-1x+1
y=-x+1
11.45 x 3.7 =
(step by step explanation pls)
Solve:
-11 2/3 x (-4 1/5)
Answer: 44 2/15
Step-by-step explanation:
PLEASE ASNWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!
Answer. 32
Step-by-step explanation:
20+4+2+6=32
Simplify the expression.
(-0.75x + 6 ) + (5.5x + 7.4)
Guys help me please.
How to solve it?
Answer:
16.21 degrees
5 cooks, 13 waiters and 4 other staff work at a restaurant. What is the ratio of cooks to waiters to other staff?
Answer:
1:4:1.5
Step-by-step explanation:
Question 10 Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x - 2)?
The graph of y = f(x) will shift left 2 units.
The graph of y = f(x) will shift right 2 units.
The graph of y = f(x) will shift up 2 units.
The graph of y=f(x) will shift down 2 units.
Answer:
Your answer is A
Step-by-step explanation:
The graph of y = f(x) will shift left 2 units.
PLEASE HELP ASAP!!!!!!! Which expression is equivalent to the expression m divided by n, where m and n are integers and n≠0
A) −m/n
B) m/−n
C) −m/−n
D) −(−m/−n)
Snack Packets
Number
Cost
($)
2
1.60
3
2.40
5
4.00
8
6.40
Find what the value of x.
60
15
30
45
Answer:
ANS;;;; 45 ...........................
Triangles X Y Z and X prime Y prime Z prime are shown.
ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.
△XYZ ~ △X'Y'Z'
AngleXZY ≅ AngleY'Z'X'
YX ≅ Y'X'
XZ = 2X'Z'
mAngleYXZ = 2mAngleY'X'Z'
Answer:
1,2,4
Step-by-step explanation:
I just took the test and got it right and its the only logical answer.
If ΔXYZ, after reflection and dilation by a scale factor of 1/2, ΔX'Y'Z' is created, the following would be true:
1. △XYZ ~ △X'Y'Z'
2. AngleXZY ≅ AngleY'Z'X'
4. XZ = 2X'Z'
Dilation of ShapesWhen a shape is dilated, the new image formed is similar to the original shape.Similar shapes have proportional side but congruent corresponding angles.Thus, if ΔXYZ, after reflection and dilation by a scale factor of 1/2, ΔX'Y'Z' is created, the following would be true:
1. △XYZ ~ △X'Y'Z'
2. AngleXZY ≅ AngleY'Z'X'
4. XZ = 2X'Z'
Learn more about dilation on:
https://brainly.com/question/10253650
Help Please!!! Find the slope.
Answer:
(-1,-1),(1,-4)
Step-by-step explanation:
it is the wright answer
Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 8?
Answer:
The function [tex]y = x[/tex] is shifted downwards by 8 units
Step-by-step explanation:
Given
[tex]y = x[/tex]
Required
Determine the transformation that gives: [tex]y = x-8[/tex]
When a function f(x) is shifted by b units, the new function g(x) is g(x) = f(x) - b
In this case:
[tex]y = x[/tex]
[tex]b = 8[/tex]
So, the new function is:
[tex]y = x - b[/tex]
Substitute 8 for b
[tex]y = x - 8[/tex]
Hence, the function is shifted 8 units downward
what is the value of (3.9*0.27)+/0.6724
Answer:
1.7254
Step-by-step explanation:
(3.9)(0.27)+0.6724
= 1.053+0.6724
= 1.7254
hope I helped!!
Please help me.
And explain how you got your answer please.
(-12/45)+15/35-12/45+15/35 slove step vise
Answer:
[tex]\frac{35}{105}[/tex]
Step-by-step explanation:
g(x)=1/6(8)^x-5. x=9
Answer:
[tex]g(9) = \frac{2048}{3}[/tex]
Step-by-step explanation:
Given
[tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]
[tex]x = 9[/tex]
Required
Solve
Substitute 9 for x in [tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]
[tex]g(9) = \frac{1}{6}(8)^{9-5}[/tex]
[tex]g(9) = \frac{1}{6}(8)^{4}[/tex]
Remove bracket
[tex]g(9) = \frac{1}{6}* 8^4[/tex]
[tex]g(9) = \frac{1}{6}* 4096[/tex]
[tex]g(9) = \frac{1* 4096}{6}[/tex]
[tex]g(9) = \frac{4096}{6}[/tex]
Simplify fraction
[tex]g(9) = \frac{2048}{3}[/tex]
Find a, please do not guess or if your not sure. i need help not guesses for points. (it’s geometry)
Answer:
[tex]\huge\boxed{\boxed{a=6}}[/tex]Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASequationtips and formulas:sin(30°)=½sin(x)=opp/hypolet's solve:[tex] step - 1 : define[/tex]
[tex] \sin( {30}^{o} ) = \frac{a}{12} [/tex]
[tex] step - 2 : solve[/tex]
[tex] \tt substitute \: the \: value \: of \: \sin( {30}^{o} ) \\ \tt \frac{1}{2} = \frac{a}{12} [/tex][tex] \tt cross \: multiplication : \\ \tt2a = 12 [/tex][tex] \tt divide \: both \: sides \: by \: 2 : \\ \tt \frac{2a}{2} = \frac{12}{2} \\ \therefore a = 6[/tex]Find a. Round to the nearest tenth.
9514 1404 393
Answer:
21.8 cm
Step-by-step explanation:
A useful way to write the Law of Sines relation when solving for side lengths is ...
a/sin(A) = b/sin(B)
Then the solution for 'a' is found by multiplying by sin(A):
a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)
__
We need to know the angle A. Its value is ...
A = 180° -75° -31.8° = 73.2°
Then the desired length is ...
a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)
a ≈ 21.8 cm
_____
I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.
What are the simplest polynomial and rational function you can imagine?
f(x) = 1/x
for rational function
8 4/5-2/3-______=3 1/10
Answer:
4 6/15
Step-by-step explanation:
The picture will give the explanation of why I see 4 6/15
Please Help! Very Urgent, i only have like half a hour. 20 points and brainiliest.
Answer:
Yes, they are similar.
[tex]AB\approx 127.3947[/tex]
Step-by-step explanation:
Part 1)
Yes.
First, ∠D and ∠B are both right angles, so they are congruent.
Next, ∠DCE and ∠BCA are vertical angles. So, their measures are congruent.
Then by Angle-Angle Similarity, we acquire:
[tex]\Delta EDC\sim \Delta ABC[/tex]
Part 2)
The corresponding sides of similar triangles are proportional.
Therefore:
[tex]\displaystyle \frac{DE}{DC}=\frac{AB}{BC}[/tex]
By substitution:
[tex]\displaystyle \frac{103}{76}=\frac{AB}{94}[/tex]
Cross-multiply:
[tex]76AB=9682[/tex]
So:
[tex]AB=9682/76\approx127.3947[/tex]
LOOK AT PIC, ASAP, ROGHT ANSWER GETS BRAINLIEST !
Answer:
Step-by-step explanation:
The teacher has 7/8 pounds of clay given.
gives out 1/16 per station
7/8= 0.875 pound
7/8 / 1/16 pound= 14 maximum stations
14 stations divided by 2 classes = 7 in each room