Answer:
Sample 1 MOE = 37.24%
Sample 2 MOE = 29.4%
Sample 3 MOE = None
Step-by-step explanation:
We are told that 250 sheep grazes over a 40-acre pasture.
Thus, number of sheeps per acre = 250/40 = 6.25 ≈ 6
Thus, n = 6
For the samples given, we can find sample proportions as;
Sample 1: p_o = 4/6 = 0.67
Sample 2: p_o = 1/6 = 0.17
Sample 3: p_o = 9/6 = 1.5
Formula for test statistic here is;
z = √(p_o(1 - p_o)/n)
For sample 1;
z = √(0.67(1 - 0.67)/6)
z ≈ 0.19
For sample 2;
z = √(0.17(1 - 0.17)/6)
z ≈ 0.15
For sample 3;
z = √(1.5(1 - 1.5)/6)
z = √−0.125
We are not given confidence level but we will use 95%.
Value of z_α at 95% Confidence level is 1.96. Thus, we can find the margin of error for the samples;
For sample 1;
Margin of error at z = 0.19 is;
1.96 × 0.19 = 0.3724 = 37.24%
For sample 2;
Margin of error at z = 0.15 is;
1.96 × 0.15 = 0.294 = 29.4%
For sample 3;
Since test statistic has a negative square root, then it has no margin of error.
A ∆ has Č = 90°, Â = 26° and = 30, Find the Angle BC, Side AB and BC.
Answer:
B = 64°
AB = 33.378
BC = 14.632
Step-by-step explanation:
Given the right angled triangle ;
Angle B = 180 - (90 + 26) (sum of angles in a triangle)
Angle B = 180 - 116
Angle B = 64°
Side AB = c
Using trigonometry :
Sin B = opposite / hypotenus
Sin 64 = 30/AB
AB = 30 / Sin64
AB = 33.378
Side BC ;
Sin A = BC / AB
Sin 26 = BC / 33.378
BC = 33.378 * Sin 26
BC = 14.632
Can someone please help me
Answer:
- 3Step-by-step explanation:
As,
- 0.0084
When estimated,
= - 0.008
[tex] = \frac{ - 8}{1000} [/tex]
Then,
[tex] - 8 \times \frac{1}{1000} [/tex]
[tex] = - 8 \times {10}^{ - 3} [/tex]
Here,
Power of ten as observed is -3
Can someone help me with this
Answer:
Step-by-step explanation:
The standard form for a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] and what's important here is that the x- and the y- remain that way in the equation. Filling in our values,
[tex](x-(6))^2+(y-(-3))^2=25[/tex] which tells us that our center is
6 and -3 -------------------> (6, -3)
The radius is the square root of 25 which is 5.
Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point-
slope form is y + 1 = {(x – 8).
br +
y =
Answer:
y + 1 = 2/3 (x - 8)
Step-by-step explanation:
y2 - y1 / x2 - x1 -5 - (-1) / 2 - 8 -4/-6 2/3
y + 1 = 2/3 (x - 8)
Determine whether the two triangles are similar.
Answer:
The Second One
Step-by-step explanation:
It Shows Side Lengths, and the angles for LOM and PON connect at O.
That means they share a similar angle, and between the angle are Sides.
SAS. (Side-Angle-Side)
(I'm not really good at math so i'm sorry if its wrong!)
cosA.cos2A.cos4A=sin8A/8sinA
I assume you're supposed to establish the identity,
cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
Then you have
sin(8A) = 2 sin(4A) cos(4A)
sin(8A) = 4 sin(2A) cos(2A) cos(4A)
sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)
==> sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)
as required.
If f(x) = x3 – 1, what is the ordered pair for x = -2.?
Answer:
(-2, -9)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x³ - 1
x = -2
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-2) = (-2)³ - 1Exponents: f(-2) = -8 - 1Subtract: f(-2) = -9Rewrite: (-2, -9)7. Determine the measures of the two angles that are not 90° in the diagram below. Show your
work.
First we need to assume that the sum of the angles is also 180°. if one is less than 90°, the other will be more. we can do this because in a plane 4-sided polygon the sum of the inner angles will always be 360°, and we already know the two angles on the right side
so we can say that:
3x + 20 + x = 180
Since we got only one variable in this equation, we can already solve for x.
4x + 20 = 180
4x = 160
x = 40
the lower left angle is just 40°
the upper left is three times that plus 20, so it's 160°
hope this helps you to get the method
An airplane is descending as it approaches the airport. If the angle of depression from the plane to the ground is 7 degrees and the plane is 2,000 feet above the ground, what is the distance from the plane to the airport?
Answer:
The distance from the plane to the airport is around 245.57 feet.
Step-by-step explanation:
Angle of depression = 7 degrees
Height (Vertical portion of a right-angle triangle) = 2,000 feet
We are looking for the base of the right-angle triangle, which represents the distance from the plane to the airport. Therefore, we must use SOH or CAH or TOA to help us determine the length of the base. In this case, it is most convenient to use TOA:
tanΘ=[tex]\frac{Opposite}{Adjacent}[/tex]
Rearrange the equation to solve for 'Opposite':
Opposite=(tanΘ)(Adjacent)
Opposite=(tan[7])(2,000)
Opposite=0.12278456*2,000
Opposite=245.5691218 feet
Thus, the distance from the plane to the airport is around 245.57 feet.
in parallelogram ABCD the measure of m
A) 82.5
B) 97.5
C) 120
D) 130
The measure of the angle C is 120°.
Given that the parallelogram ABCD, we need to find the measure of the angle C,
We know that in a parallelogram the opposite angles are equal and the adjacent angles are supplementary,
So,
∠D = ∠B
6x + 6 = 10x - 30
4x = 36
x = 9
So, ∠D = ∠B = 60°
So,
∠C + ∠D = 180°
∠C = 180° - 60°
∠C = 120°
Hence the measure of the angle C is 120°.
Learn more about parallelogram click;
https://brainly.com/question/28854514
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Cho a + b + c = 0 và a^2 + b^2 + c^2 = 1. Tính giá trị của M = a^4 + b^4 + c^4
Step-by-step explanation:
hello you then good mujhe samajh mein nahin a rahi hai sorry
Can anybody help me? Thank you for your answers
Answer:
x = 2y
Step-by-step explanation:
we don't need to do complicated trigonometric conversions. just try to express x by a term of y (or vice versa) and look.
so, starting with x = 2y.
if that is the case, then what is our equation looking like ? is it true ?
sin(2y - y)/sin(y) + cos(y - 2y)/cos(y) = 2
sin(y)/sin(y) + cos(-y)/cos(y) = 2
1 + cos(-y)/cos(y) = 2
cos(-y)/cos(y) = 1
cos(-y) = cos(y)
and yes, this is indeed true for all y. cos decreases from 1 to -1 with the increase of the absolute value of the angle from 0 to 180 degrees (meaning we could go up or down the same angle from 0, and cos would be the same), and then increases again to +1 for the increase of the absolute value of the angle from 180 to 360 degrees. and then it all starts again. and again, and again, ...
so, since the original equation is true under the assumption x=2y, this must be the correct option.
A bag contains 4 purple beads and 3 green beads. A bead is drawn and then replaced before drawing the second bead. Find the probability both beads drawn are green.
A) 16/49
B) 6/7
C) 6/49
D) 9/49
Answer:
9/49
Step-by-step explanation:
4 purple beads and 3 green beads= 7 beads
P( green) = green = total = 3/7
Replace the bead
4 purple beads and 3 green beads= 7 beads
P( green) = green = total = 3/7
P( green , replace, green) = 3/7 * 3/7 = 9/49
A P E X fasted answer is getting 30 points please hurry.
suppose a normal distribution has a mean of 98 and a standard deviation of 6. what is p(x ≥ 92)
Answer:
Step-by-step explanation:
If the mean is 98 and standard deviation is 6, then 92 is one standard deviation to the left of the mean; that means that 34% + 34% + 13.5% + 2.35% + .15% of the data is included in this area. Add those up and you get, as a percentage, 84%.
Answer:
0.84
Step-by-step explanation:
yee its right
For which of the following do you need to change the final y to i before adding the suffix?
say + -ing
happy + -ness
enjoy + -ment
play + -er
please help. people take my points without answering. 15 points left, please show work. and please dont just take my points
Answer:
Step-by-step explanation:
Reference angle in quadrant I,
θ' = θ
Reference angle in quadrant II,
θ' = 180° - θ
Reference angle in quadrant III,
θ' = θ - 180°
Reference angle in quadrant IV,
θ' = 360° - θ
13). θ = 315°
Since, the given angle is in the 4th quadrant,
Reference angle θ' = 360° - 315°
= 45°
14). θ' = (620° - 540°)
= 80°
Reference angle = 80°
15). θ' = 630° - θ
= 630° - 580°
= 50°
Reference angle = 50°
E) Natasha's parents want to support Natasha by saving $5000 for her college. They searched up for some investment options and came up with two best ones o 4.8% simple interest for 2 years o 4.1 % / year compounded semi- annually for 2 years Compare both the plans and find out which is the best to choose
Answer:
Amount she would have in 2 years at a simple interest of is
$5000 + ($5000 x 0.048 x 2) = $5480
Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :
$5000 x ( 1 +0.041/2)^4 = $5422.78
the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose
Step-by-step explanation:
Future value with simple interest = principal + interest
Interest = principal x interest rate x time
0.048 x 5000 x 2 = 480
future value = $480 + 5000 = $5480
The formula for calculating future value with compounding:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78
rule. L1
b)
I
R = (24, 28)
S = (4, 20)
Q = (28, 12)
P = 8,4)
R' = (36, 4)
S = (16,-4)
*Q' = (40, -12)
P' = (20, -20)
Determine the transformation rule for the translation
from PQRS to P'QʻR'S'
Answer:
(x+12, y-24)
Step-by-step explanation:
The rule is (x, y) -> (x+12, y-24)
(A p e x) Which sequence of transformations will result in an image that maps onto itself?
A. Rotate 90 degrees counterclockwise about the origin, and then translate up 2 units.
B. Reflect across the x-axis, and then reflect across the y-axis.
C. Rotate 90 degrees counterclockwise about the origin, and then reflect across the x-axis.
D. Reflect across the x-axis, and then reflect again over the x-axis.
Answer: D. Reflect across the x-axis, and then reflect again over the x-axis.
Explanation:
If we reflect over the x axis, and then reflect over that same axis again, then we arrive at the original image. Nothing has changed. This is because the two reflections effectively cancel each other out.
It's like taking one step forward, then taking one step back. You haven't moved at all.
PLZ HELP I'LL GIVE BRAINY!!!! AND EXPLAIN
For this exponential function,
what is the output value (y),
when the input value (x) is 1?
y = 4.3x
(1, [?])
you have to plug in the x value to discover the y
y= 4.3 x 1
y = 4.3
so, the ordered pair is (1, 4.3)
hope it helps :)
Write the exponential function that passes through (-1, 27), (0, 9), (1, 3).
Step-by-step explanation:
we see, for x=-1 we get 3³
x=0 we get 3²
x=1 we get 3¹
so the function is definitely a 3 to the power of x version.
but we need to adapt the exponent a bit and correct x, so that at least for these 3 values of x the result is "running backwards".
the easiest way : 2-x as exponent.
it fits.
for x=-1 we get 2 - -1 = 3 as exponent.
for x=0 we get 2-0 = 2 as exponent.
for x=1 we get 2-1 = 1 as exponent.
so, the exponential function passing through these 3 points is
[tex]f(x) = {3}^{2 - x} [/tex]
3/7 x 4/7 what is the answer
3/7×4/7= (3×4)/(7×7)= 12/49
Answer:
12/49
Step-by-step explanation:
Hi! To start off, I'm going to multiply our numerators, and then our denominators.
3 × 4 = 12
7 × 7 = 49
Usually, if this fraction was not simplified (but it is) we would simplify it (ex. 2/4 to 1/2).
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
I need help ASAP!!!! Pleaseeee
Answer:
2nd and 3rd ordered pair are on the graph
Step-by-step explanation:
Substitute the x- coordinate into the equation and if the value obtained is equal to the y- coordinate then it lies on the graph.
(1, 625 )
f(1) = - [tex]25^{1+1}[/tex] = - [tex]25^{2}[/tex] = - 625 ≠ 625 ← No
(0, - 25 )
f(0) = - [tex]25^{0+1}[/tex] = - [tex]25^{1}[/tex] = - 25 ← Yes
(- 1, - 1 )
f(- 1) = - [tex]25^{-1+1}[/tex] = - [tex]25^{0}[/tex] = - 1 ← Yes [ using [tex]a^{0}[/tex] = 1 ]
Utilize graphing to find the solution to
the following system of equations.
4x + 3y = 25 AND y = -5x + 1
([?], [])
Answer:
you guess any value of x and then you substitute any three values for example for the first equation you can guess the value of x to be 1 or 2 or 3
Answer quick tyyyyyyyyyyyyyy
Answer:
5
Step-by-step explanation:
(x+5)(x-3)=20
x=5
please solve this right away!
Answer:
1.432
2. 8978
Step-by-step explanation:
I need help plz anyone I don't understand this at all.
Answer:
jejejjejejr
Step-by-step explanation:
uejejjejejjsjs
Which of the following cannot be written as a ratio of integers with a nonzero denominator
Answers:
A.a whole number
B.an integer
C.none of these
D.a rational number
Answer:
D
Step-by-step explanation:
I really think the answer is D
hello, help needed. show work please. 55 points!! due today.
Answer:
see below
Step-by-step explanation:
x+5
y = ----------------------
x^2 - 2x+1
Since the degree of numerator < degree of denominator ( 1 < 2) there is a horizontal asymptote: y = 0
form a polynomial whose factors are (x+1) , (x+2) and (x-3)
Answer:
x³-7x-6
Step-by-step explanation:
Find the products of the factors
(x+1)(x+2)(x-3)
x²+3x+2(x-3)
x³+3x²+2x-3x²-9x-6
x³-7x-6
