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.
The price of grapes at the grocery store is $1.44 per pound. There are approximately 0.45 kilograms in a pound. To the nearest cent, what is the price of grapes in dollars per kilogram?
$0.65 per kilogram
$0.99 per kilogram
$1.89 per kilogram
$3.20 per kilogram
Answer:
$3.20 / kg
Step-by-step explanation:
$1.44 / pound
so, this is normed to 1 pound = 0.45 kg.
now we want to transform that to have 1 kg as the norming unit.
for this we need to multiply the top and the bottom of the ratio with the same number, so that the value of the ratio remains unchanged, but that the bottom turns into 1 kg.
so, what do we need to turn 0.45 into 1 ?
0.45 × x = 1
x = 1/0.45 = 1/1 / 45/100 = 100/45 = 20/9 = 2.22222...
since we need to multiply top and bottom with the same factor, we get
(1.44/0.45) × (2.222222/2.222222) =
(1.44 × 2.222222) / (0.45×2.222222) =
(1.44 × 2.222222) / 1kg = $3.20 / kg
the answer is number 4 or d
A runner jogged 4 miles in ten laps around a circular
track. What is the greatest distance straight across
the track?
Answer:
.1273 mi = 627.2 feet
c = 2[tex]\pi[/tex]r
.4 = 2[tex]\pi[/tex]r
r = [tex]\frac{.4}{2\pi }[/tex]
r = [tex]\frac{.2}{\pi }[/tex]
d = [tex]\frac{.4}{\pi }[/tex]
d = .1273 mi = 627.2 feet
Step-by-step explanation:
Match each three-dimensional figure to its volume based on the given dimensions. (Assume π = 3.14.)
Answer/Step-by-step explanation:
✔️Volume of right cylinder = πr²h
Where,
π = 3.14
radius (r) = 4 cm
height (h) = 3 cm
Plug in the values into the formula
Volume of cylinder = 3.14*4²*3
= 150.72 cu cm
✔️Volume of cone = ⅓πr²h
Where,
π = 3.14
radius (r) = 5 cm
height (h) = 12 cm
Plug in the values into the formula
Volume of cylinder = ⅓*3.14*5²*12
= 314 cu cm
✔️Volume of pyramid = ⅓*Bh
Where,
Base area (B) = 16 cm²
height (h) = 30 cm
Substitute
Volume of pyramid = ⅓*16*30
= 160 cu cm
✔️Volume of square pyramid = ⅓*s²*h
Where,
Length of square base (s) = 3 cm
Height (h) = 16 cm
Substitute
Volume of square pyramid = ⅓*3²*16
= 48 cu cm
A) (x-1)^3+ 3x(x-4)+2=x^3
B) x^3 +6x +12x +8=0
Answer: I'll solve A) since there is a lot of work to be shown.
Step-by-step explanation:
A)
(x−1)³+3x(x−4)+2=x³
Use binomial theorem to expand (x−1)³
x³- 3x² + 3x - 1 + 3x(x-4) + 2=x³
Use distributive property on 3x(x-4)
x³- 3x² + 3x - 1 + 3x²-12x + 2=x³
Add like terms
x³ −9x + 1 =x³
Subtract x³ from both sides.
x³ −9x +1 -x³ = 0
Add x³ and -x³
−9x+1=0
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
−9x=−1
Divide both sides by -9.
x= 1/9
help i m not smart at all see alot
Answer:
-3
Step-by-step explanation:
You have to bring -16 to the other side by adding.
It would make it: -7a=21
Then you hve to diving the -7.
-7a/-7=21/-7
That would equal -3
Answer:
A= -3
Step-by-step explanation:
-7a - 16 = 5
( -7a - 16) + 16 = 5 + 16
-7a - 16 + 16 = 21
-7a = 21
7a/7 = - 21/7
a = -3
Hope this helps you
Brainless please
9. Write an equation in slope intercept form that
passes through (6,2) and (-3.0)
Answer:
y = -2/9x+2/3
Step-by-step explanation:
First find the slope
m= (y2-y1)/(x2-x1)
= (0-2)/(-3-6)
= -2 /-9
2/9
The slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 2/9x+b
Using the point -3,0
0 = 2/9(-3) +b
0 = -2/3+b
b = 2/3
y = -2/9x+2/3
find the length of UT
Answer:
I think it would be
A .39
I hope that it helps you
Can someone help me out
Answer:
10.2
Step-by-step explanation:
195×2×3×π/360
= 13π/4
= 10.2 (rounded to the nearest tenth)
Answered by GAUTHMATH
Solve the system using multiplication for the linear combination method.
6x – 3y = 3
-2x + 6y = 14
What is the solution to the system?
Answer:
(2, 3)
Step-by-step explanation:
in a group140 pupils 5/7 like swimming while the rest like football .find the fraction of the pupils who like football
Answer:
[tex]{ \sf{ \underline{it \: is \: \frac{2}{7} }}}[/tex]
Step-by-step explanation:
[tex] = \frac{7}{7} - \frac{5}{7} \\ \\ = \frac{2}{7} [/tex]
Combine like terms. (Simplify your answer completely.)
2/5x+6+8/5x
Answer:
16/5x
Step-by-step explanation:
as there is 2 5x so it will be 2 by 5x +6+ 8 by 5x
next there is two 5x and it will be 1 5x
then we will add 2+6+8=16
and there is already 5x ..simple.
hope it will help
Find the domain of h(x) = 2x - 9 given a range of (-7,5,11)
Answer:
D = 1,7,10
Step-by-step explanation:
-7 = 2x - 9
x = 1
5 = 2x - 9
x = 7
11 = 2x - 9
x = 10
the domain of (1,7,10)
Find two fractions, when multiplied together make 3/4
Answer:
3/1 times 1/4, 3/2 times 1/2, 9/8 times 2/3
Answer:
1/2 & 3/2
Step-by-step explanation:
1/2 X 3/2 = 3/4
To get this answer, you need to think of two numbers which we can multiply to get 3 and two numbers which we can multiply to get 4.
Answer from Gauthmath
Find x
A. 3√3
B. 6√3
C. 2√3 over 3
D. 3
Answer:
A, 3 root 3
Step-by-step explanation:
The triangle is a 30-60-90 Triangle meaning that the shortest side can be multiplied by 2 to get the hypotenuse or the slanted/longest side.
The second longest side of this triangle will always be the shortest side times root 3. Use the chart as a reference.
Answer:
3√3
Step-by-step explanation:
Angle ratio = 30 : 60 : 90
Side ratio = a : a√3 = 2a
Side opposite to 90° = 2a
2a = 6
a = 6/2
a = 3
Side opposite to 60° = a√3
x = a√3 =3√3
please help if you can
Answer:
x= 10
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(8+x) * 8 = (9+-3+x) * 9
8(8+x) = 9(6+x)
Distribute
64+8x=9x+54
Subtract 8x from each side
64 = x+54
Subtract 54 from each side
10 =x
1.Given the function f(x) = -2c + cx - x^2? and f^-1(5) = -1, find c
Here we have a quadratic function and we want to find the value of a constant with a given restriction.
We will find that c = 8.
So we have the function:
[tex]f(x) = -2c + cx - x^2[/tex]
We know that:
[tex]f(5)^{-1} = -1 = \frac{1}{-2c + c\cdot 5 - (5)^2}[/tex]
Notice that the above equation means that:
[tex]-2c + c\cdot5 - (5)^2 = -1[/tex]
Then we just need to solve the above equation for c:
[tex]-2c + 5c - (5)^2 = -1\\\\(-2 + 5)\cdot c - 25 = -1\\\\3\cdot c = -1 + 25\\\\3\cdot c = 24\\\\c = 24/3 = 8[/tex]
So we found that the value of c is 8.
This means that the function is:
[tex]f(x) = -16 + 8\cdot x - x^2[/tex]
You can see the graph below:
If you want to learn more, you can read:
https://brainly.com/question/24215686
Which plane geometry has countless symmetry axis ? (except for circle)
Sorry if there are some grammatical mistakes in my question because English isn't my first language. Thank you very much !
Countless symmetry axis of a parabola is vertical line which divides the parabola into two congruent halves.
The axis of symmetry always passes through vertex of parabola. These will cause the plane to divide into two parts.
The geometric shape may have countless symmetry axis. This actually divides the shape into two halves and creates a mirror like effect.
The x-coordinate of vertex is equation of axis symmetry of parabola. Lets say if we take an example of quadratic equation which is ,
y = ax^2 + bx + c , here in this equation the axis of symmetry is vertical line which is x = - b^2 a
Learn more at https://brainly.com/question/24375722
Find m<DCV and m<VBD
Answer:
∠ DCV = ∠ VBD = 50°
Step-by-step explanation:
The inscribed angles DCV and VBD are half the measure of their intercepted arcs, that is
∠ DCV = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°
∠ VBD = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°
List the first five multiples of 6.
a )
List the first five multiples of 9.
b )
What is the Lowest Common Multiple of 6 and 9?
c)
a]. The first 5 multiples of 6 are 6, 12, 18, 24, and 30.
b]. The first 5 multiples of 9 are 9, 18, 27, 36, 45.
c]. Least common multiple (LCM) of 6 and 9 is 18.
a=6= 1,2,3,6,12
9=1,3,9,18,27
l.c.m is 1 and 3
Find the slope (-2,5),(2,9)
Answer:
1
Step-by-step explanation:
Let,
x1 = - 2
y1 = 5
x2 = 2
y2 = 9
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 9 - 5 ) ) / ( 2 - ( - 2 )
= 4 / 4
= 1
Answer:
slope is 1
Step-by-step explanation:
from (-2, 5) to (2,9)
slope m= (y2-y1) / (x2-x1) = (9-5) / (2- -2) = 4 / 4 =1
*
you can think of how do you get from one point to the other
first point (-2, 5) go to second point (2,9)
-first on the y-axis (vertical) you start at 5 and go four up to get to 9
-second on the x-axis (horizontal) you start at -2 and go four right to get to 2
slope = change in y / change in x = four up /four right = 4/4 = 1
-moving down or to the left will make the numbers negative
Line A passes through points (-3,2) and (-23,54) line B is parallel to line A and passes through point (-8,0) what is the equation of line B? please help!!
Answer:
the correct answer to this question is b
Step-by-step explanation:
got it right
What is the reciprocal of 12 is
Answer:
1/12
Step-by-step explanation:
The reciprocal of any given x is 1/x. That makes the reciprocal of 12, 1/12.
Answer:
1/12
Step-by-step explanation:
12 is also written as 12/1, therefore to find the inverse of 12/1 the denominator now becomes the numerator and vice versa
is 23/17 a rational number?
Answer:
rational number
Step-by-step explanation:
a rational number can be written as a/b where a and b are integers
23/17 = a/b where a = 23 and b = 17
This is a rational number
1.4 (x + 5) + 1.6x = 52
Simplify <3
What is 1/2 in money
Answer: 2 quarters
Step-by-step explanation: I know this because
Answer: $0.50
Step-by-step explanation:
Well, lets see what's 1 in money. $1. Now we need to half that, so 1/2 in money would be 50 cents or $0.50. Hope this helped.
2/5 x 1/3 x 3/4 = ( 2/5 x 1/3) x ? And the answer please
What is the correct answer to this multiple choice question? Please help!!!
Answer:
By translating the function cos(x) 90 degrees to the right.
Step-by-step explanation:
The sine function is just the cosine function translated 90 degrees to the right. You can see the visualization below. They overlap.
If you're wondering why the diagram shows a shift in
[tex]\pi / 2[/tex]
That's just the equivalent to 90 degrees in radians.
Determining a Local Maximum and Minimum
Analyze the table of values for the continuous function,
f(x), to complete the statements.
A local maximum occurs over the interval __
A local minimum occurs over the interval ___
Answer:
x=-1x=-3Step-by-step explanation:
Algebra level
halp me children it's important
Answer:
64 cm³
Does the answer help you?
whats (-3,6) and (3,4) in y=mx+b form?
Answer:
y = -1/3x + 5
Step-by-step explanation:
First you want to find the slope with the formula y2-y1/x2-x1.
4-6/3-(-3)
-2/6
-1/3
Second you want to substitute one point and the slope to find the y-intercept.
6 = -3(-1/3) + b
6 = 1 + b
5 = b
Third you can fill in the information we solved for.
y = -1/3x + 5
Best of Luck!
