Answer:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
From this, we have that the margin of error, and also the width, is inversely proportional to the sample size, that is, a larger sample size leads to a smaller margin of error and a narrower interval.
How would the width of the new confidence interval compare to the width of the confidence interval based on the 327 women in the armed forces?
New interval: 784
Old interval: 327
Sample size increased, so the new interval will be narrower, and the correct answer is:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
For a one-way within-subjects ANOVA, the mean difference attributed to the manipulation is in the ________, and the mean difference attributed to individual differences is in the ________ of the test statistic. numerator; numerator denominator; numerator numerator; denominator denominator; denominator
Answer:
1. numerator;
2. denominator
Step-by-step explanation:
For a one-way within-subjects ANOVA, the mean difference attributed to the manipulation is in the NUMERATOR, and the mean difference attributed to individual differences is in the DENOMINATOR of the test statistic.
Translate to an equation, then solve.
Nineteen less than six times a number is equal to 11 more than four times the number?
What is the number?
Answer:
15Step-by-step explanation:
Let the number is x, then we have:
6x - 19 = 4x + 116x - 4x = 11 + 192x = 30x = 15Solve for x: 9(3x+3)=10(3x+9)
Answer:
-21 =x
Step-by-step explanation:
9(3x+3)=10(3x+9)
Distribute
27x +27 = 30x +90
Subtract 27x from each side
27x+27 -27x = 30x-27x +90
27 = 3x+90
Subtract 90 from each side
27-90 = 3x +90-27
-63 = 3x
Divide by 3
-63/3 = 3x/3
-21 =x
Answer:
x = -21
Step-by-step explanation:
9(3x+3) = 10(3x+9)
27x + 27 = 30x + 90
-30x + 27x = 90 - 27
-3x = 63
x = -21
answer please it's urgent
Answer:
HOPE IT HELP YOU . Plz tell me if it is write or wrong .
7+3√5/3+√5 - 7-3√5/3-√5
Answer:
0
Step-by-step explanation:
We can write the equation in a simpler form so it doesn't look like a mess of numbers:
[tex]7+\frac{3\sqrt{5}}{3}+\sqrt{5} -7 -\frac{3\sqrt{5}}{3}-\sqrt{5}[/tex]
Because we are just adding three terms together and then subtracting those exact terms, we have the answer as 0.
someone help me with this
find points a b c
Answer:
<a=32
<b=40
<c=40
Step-by-step explanation:
to find angle a you have to subtract the 50 minus 180 to find the angle close to the 50 because angles in a straight line add up to 180. the answer will be
180-50=130
after finding the angle in that triangle you must add it to the other angle present which is 18° then subtract by 180 because angles in a straight line add up to 180
130+18+a=180
a=180-148
a=32 and that's how you find a
to find b you must know that the angle at the center is twice the angle at the circumference meaning the large angle C is 90°,now if it's 90° inorder to find the big angle B you must add the 18+90 then subtract 180
18+90+B=180
B=180-108
=72
since the combination of angle a and b will give you 72 you can find angle c by subtracting a from 72
c=72-32
=40
then if you look at angle c and angle b you can tell that they are alternating meaning angle b is also 40
I hope this helps
A fruits seller bought some lemon for Re 1 for 15 lemon. if he sold all lemons at 25% profit, how many lemons were sold for Rs 1.
Answer:
12 lemons
Step-by-step explanation:
CP of 15 lemon = ₹ 1
Profit = 25 %
SP of 15 lemons = [tex]\frac{100+profit}{100}*CP[/tex]
[tex]= \frac{125}{100}*1\\\\= \frac{5}{4}[/tex]
SP of 15 lemons = ₹ [tex]\frac{5}{4}[/tex]
Number of lemon for ₹ [tex]\frac{5}{4}[/tex] = 15
Number of lemons for ₹ 1 = 15 ÷ [tex]\frac{5}{4}[/tex]
[tex]= 15 *\frac{4}{5}\\\\= 3*4\\\\= 12[/tex]
Find the surface area of each figure. Round your answers to the nearest tenth, if necessary
Answer:
268 in ^2
Step-by-step explanation:
SA=2lw+2lh+2hw
width = 4 lenth = 6 height = 11
2(6)(4) + 2(6)(11) + 2 (11)(4)
= 2 (24) + 2(66) + 2 (44)
= 48 + 132 + 88
= 268 in ^2
Answered by G a u t h m a t h
The area of an isosceles triangle is 52 square inches. The height is 8 in. What is the length of the base?
Answer:
base = 13 in
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here A = 52 and h = 8 , then
[tex]\frac{1}{2}[/tex] b × 8 = 52
4b = 52 ( divide both sides by 4 )
b = 13
Find the slope of
(-3,6)(5,-4)
Answer:
Slope: -5/4
Step-by-step explanation:
Slope formula: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
Plug in:
[tex]\frac{-4-6}{5-(-3)}[/tex]
Solve:
[tex]\frac{-4-6}{5-(-3)}[/tex]
-4 - 6 = -10
5-(-3) = 8
-10 5
----- = - -----
8 4
The answer is -5/4
Hope this helped.
Factorize:
a)(a+b) (a-b)-a+b
b)a²-(b-3)a-3b
c) ax²-bx²-ax+bx+a-b
help Me these questions I will mark u as brainliest
Answer:
Step-by-step explanation:
I need help finding the measures
Answer:
a = 50
b = 50
c = 80
d = 50
e = 130
Step-by-step explanation:
e = 180 - (25 + 25) {Angle sum property & It is an isosceles triangle}
= 180 - 50 = 130
a +e = 180 {Linear pair}
a + 130 = 180
a = 180 - 130
a = 50
d =a {Vertically opposite angles}
d = 50
c = 180 -(50+ 50 ) {Angle sum property & It is an isosceles triangle}
c = 180 -100
c = 80
a+b + c = 180 {Straight angles}
50 + b + 80 = 180
b + 130 = 180
b = 180 - 130
b = 50
What does media literacy mean?
A. The practice of reading things that are on a screen
B. The practice of being able to identify the different types of media
C. The practice of being able to access, analyze, and evaluate media
D. The practice of using multiple media at one time
Answer:
C.
Step-by-step explanation:
Media literacy encompasses the practices that allow people to access, critically evaluate, and create or manipulate media.
HELP ASAP PLEASEREEEEE
Answer:
uh
Step-by-step explanation:
my guy, I DK.
ef is the median of trapezoid abcd (please explain the answer im so confused lol)
Step-by-step explanation:
Okay, so...
The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.
In other words,
EF = ( BC + AD ) / 2
So for part 1, we can use that equation to find x.
[tex]EF = ( BC + AD ) / 2[/tex]
Insert known equations.[tex]4x-18=[(x+12)+(3x-4)]/2[/tex]
Simplify within parentheses.[tex]4x-18=[x+12+3x-4]/2[/tex]
[tex]4x-18=[x+3x+12-4]/2[/tex]
Add.[tex]4x-18=[4x+8]/2[/tex]
Divide.[tex]4x-18=2x+4[/tex]
Simplify.[tex](4x-2x) +(-18+18)=(2x-2x)+(4+18)[/tex]
[tex]2x=22[/tex]
Divide both sides by 2.[tex]x=11[/tex]
Part 2 is a lot easier now. All we have to do is plug in 11 for x.
[tex]BC =x+12[/tex]
[tex]BC = 11+12[/tex]
[tex]BC = 23[/tex]
-
[tex]AD = 4x-18[/tex]
[tex]AD = 4(11)-18[/tex]
[tex]AD = 44-18[/tex]
[tex]AD = 26[/tex]
-
[tex]EF = 3x-4[/tex]
[tex]EF = 3(11)-4[/tex]
[tex]EF = 33-4[/tex]
[tex]EF = 29[/tex]
Answer:
Part I: x = 11
Part II:
BC = 23AD = 26EF = 29Suppose TM ≈ GL and angle M ≈ G What additional information is needed to prove triangle MTD≈ GLS by SAS?
Answer:
the second option
Step-by-step explanation:
SAS is side angle side. so, we need 2 sides and the enclosed angle.
since G is the transformed M, and GL is the transformed side TM, that also means L correlates to T and S to D.
for SAS we need both sides of the angles M and G.
TD and SL are not satisfying this condition.
only MD and SG do.
Which expressions are equivalent to
3(6+b) + 2b+1?
Select 2 answers.
Step 1 - Use the distributive property and pick your first
answer
Step 2 - Combine like terms and pick your second
answer
Step-by-step explanation:
3(6+b)+2b+1
18+3b+2b+1
5b+19
Martina is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.
=___
Answer:
28
Step-by-step explanation:
Subtract highest number from lowest.
92-64 = 28
What is the equation of the line that is perpendicular to the line y = 2x + 5 and
passes through the point (-4, 2)?
Answer:
y = -1/2x
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 2x + 5. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.
Plug this value (-1/2) into your standard point-slope equation of y = mx + b.
y = -1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, 2). Plug in the x and y values into the x and y of the standard equation.
2 = -1/2(-4) + b
To find b, multiply the slope and the input of x (-4)
2 = 2 + b
Now, subtract 2 from both sides to isolate b.
0 = b
Plug this into your standard equation.
y = -1/2x + 0 or y = -1/2x
This equation is perpendicular to your given equation (y = 2x + 5) and contains point (-4, 2)
Hope this helps!
A car is purchased for $21,500. After each year, the resale value decreases by 25%. What will the resale value be after 5 years?
Answer:
$5,102.05
Step-by-step explanation:
Present value of the car = $21,500
Present percentage value = 100% = 1
Percentage of Depreciation per year = 25% = 0.25
Years of depreciation = 5 years
The value of the car after 5 years = Present value of the car (Present percentage value - Percentage of Depreciation per year)^Years of depreciation
= 21,500(1 - 0.25)^5
= 21,500(0.75)^5
= 21,500(0.2373046875)
= 5,102.05078125
Approximately,
The value of the car after 5 years = $5,102.05
Find the measure of the indicated angle to the nearest degree
[tex] \cos(θ) = \frac{6}{32} \\ θ = 79.19[/tex]
Sandra has developed a program designed to increase reading comprehension scores in 6th graders. She randomly selects three students and has them participate in her program. When she compares the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores. What is most likely the reason for the non-significant finding
Answer:a small sample size
Step-by-step explanation:
From the information given in the question, we are informed that Sandra developed a program that was designed to increase reading comprehension scores in 6th graders and she then randomly selects three students and has them participate in her program.
After comparing the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores, it should be noted that the reason for this will be because the sample size is small.
If a large sample size was used, this could have been different as thsi could result in a significant difference between their mean scores.
Answer if you want tho...
Answer:
3 loaves 2 bananas left.
Step-by-step explanation:
The answer is asking how many loaves of three bananas Seth can make. 11 can be divided by 3 a total of 3 times, leaving a remainder of 2 bananas that would not be enough to make another loaf.
2 similar cardboards have areas of 24cm square and 150cm square. if the length of the bigger one is 10cm, what is the length of the smaller one
Answer:
4 cm
Step-by-step explanation:
Given 2 similar figures with sides in ratio a : b , then
ratio of areas = a² : b²
let n be the length of the smaller one , then
ratio of sides = n : 10
ratio of areas = n² : 10² = n² : 100
Using proportion
( [tex]\frac{ratio}{area}[/tex] )
[tex]\frac{n^2}{24}[/tex] = [tex]\frac{100}{150}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3n² = 48 ( divide both sides by 3 )
n² = 16 ( take the square root of both sides )
n = [tex]\sqrt{16}[/tex] = 4
length of the smaller one is 4 cm
A stationary shop markdown their writing boards by 40%. The markdown is $32. What is the original selling price and selling price after markdown of the writing boards?
A.$50, $25
B.$60, $24
C.$80, $48
D.$70, $28
Answer:
The original price is 80
The new price is 48
Step-by-step explanation:
Let x be the original price
x - .4x = new price
.6x = new price
.4x = markdown
.4x= 32
.4x/.4 = 32/.4
x =80
The original price is 80
.6x = new price
.6(80) = 48
7.
Which kind of function best models the data in the table? Graph the data and write an equation to model the data.
A. exponential; y = 3x – 1
B. linear; y = x – 1
C. quadratic; y = x2 – 1
D. linear; y = –x – 1
Answer:
D. linear; y = –x – 1
Step-by-step explanation:
Linear; y=-x - 1
The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x
...............................................................................................................................................
Answer:
The correct answer is D) linear; y = –x – 1
Step-by-step explanation:
To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.
(4, 5)
y = -x - 1
-5 = -4 - 1
- 5 = -5 (TRUE)
(0, -1)
y = -x - 1
-1 = 0 - 1
-1 = -1 (TRUE)
If f(x)=16x-30 and g(x)=14x-6 for which value of x does (f-g)(x)=0
Answer:
12
Step-by-step explanation:
f(x)=16x-30
g(x)=14x-6
f(x) - g(x) = 16x-30 - (14x-6)
= 16x - 30 - 14x +6
= 2x -24
Set this equal to zero
2x-24 = 0
Add 24 to each side
2x-24 +24 = 0+24
2x = 24
Divide by 2
2x/2 =24/2
x = 12
x=12
Answer:
Solution given:
f(x)=16x-30 and g(x)=14x-6
(f-g)(x)=0
or
f(x)-g(x)=0
16x-30-14x+6=0
2x-24=0
2x=24
x=24/2
x=12
Help please urgent 25 point
Answer:
60
Step-by-step explanation:
b = the hypotenuse of a right angle triangle
a = the adjacent side.
R is being defined by the cosine
cos(R) = adjacent / hypotenuse
adjacent = 16* sqrt(2)
hypotenuse = 32*sqrt(2)
Cos(R) = 16*sqrt(2) / 32*sqrt(2) sqrt(2) cancels.
cos(R) = 1/2
R = cos-1(1/2)
R = 60 degrees.
A scenic train ride has one price for adults and one price for children. One family of two adults and two children pays 1054 Baht for the train ride. Another family of one adult and four children pays 1190 Baht. Find the price x for an adult and the price y for a child?
Answer:
x = price for adult = 306 Baht
y = price for children = 221 Baht
Step-by-step explanation:
Let
x = price for adult
y = price for children
2x + 2y = 1054 (1)
x + 4y = 1190 (2)
From (1)
x = 1190 - 4y
Substitute x = 1190 - 4y into (1)
2x + 2y = 1054 (1)
2(1190 - 4y) + 2y = 1054
2380 - 8y + 2y = 1054
- 8y + 2y = 1054 - 2380
- 6y = - 1326
y = -1326/-6
y = 221
Substitute y = 221 into (2)
x + 4y = 1190 (2)
x + 4(221) = 1190
x + 884 = 1190
x = 1190 - 884
= 306
x = price for adult = 306 Baht
y = price for children = 221 Baht
the perimeter of equilateral triangle is 21m. Find the area. Using Heron's Formula
plzzz answer fast i will mark brainliest.
Answer:
A ≈ 21.22 m²
Step-by-step explanation:
The area (A) of a triangle using Heron's formula is
A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where s is the semi perimeter and a, b, c the sides of the triangle.
Here the perimeter of the equilateral triangle is 21 m , then
a = b = c = 21 ÷ 3 = 7 m
s = 21 ÷ 2 = 10.5
Then
A = [tex]\sqrt{10.5(10.5-7)(10.5-7)(10.5-7)}[/tex]
= [tex]\sqrt{10.5(3.5)(3.5)(3.5)}[/tex]
= [tex]\sqrt{450.1875}[/tex]
≈ 21.22 m² ( to 2 dec. places )