The margin of error is 0.1245 (approx) with a confidence level of 95%.
What is margin of error ?Margin of error is a statistic which is expressing the measurement of random sampling error in the results of a survey.
Margin of error = [tex]z^{*}[/tex][tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
where [tex]z^{*}[/tex] is the value for confidence level or quantile,
p is the sampling mean proportion and n is the sample size.
How to find margin of error in given problem ?Here, The sampling mean proportion(p)= 0.28
The sample size(n)= 50
Confidence level = 95%
Hence Value for 95% confidence level ([tex]z^{*}[/tex])= 1.96
∴ Margin of error = [tex]1.96[/tex][tex]\sqrt{\frac{0.28(1-0.28)}{50} }[/tex]
= [tex]1.96[/tex][tex]\sqrt{\frac{0.28*0.72}{50} }[/tex]
= [tex]1.96\sqrt{\frac{0.2016}{50} }[/tex]
= [tex]1.96\sqrt{0.004032}[/tex]
= [tex]1.96[/tex]×[tex]0.0635[/tex]
= [tex]0.1245[/tex] (approx)
So, The margin of error is 0.1245 (approx).
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find the area of the figure below
A.832in^2
B.768^2
C.416^2
D.384in^2
can you solve this problem please
Answer:
k = 11
Step-by-step explanation:
Given the points are collinear then the slopes between consecutive points are equal.
Using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)
m = [tex]\frac{-1-1}{1-5}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]
Repeat with another 2 points and equate to [tex]\frac{1}{2}[/tex]
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)
m = [tex]\frac{4+1}{k-1}[/tex] , then
[tex]\frac{5}{k-1}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
k - 1 = 10 ( add 1 to both sides )
k = 11
monkeys at the zoo eat 4 cups of food every day .elephants eat 76 times as much what is the equation?
Answer:
304 cups daily
Step-by-step explanation:
4 cups of food (monkeys) multiplied by 76 (amount elephants eats more)
4 x 76
Find the y-intercept of the quadratic function: g(x) = 5х2 + 9x + 4 о (0, 18) (4.0) ООО (0.4) (0,5)
Answer:
(0,4)
Step-by-step explanation:
Here, we want to find the y-intercept of the quadratic function
g(x) = 5x^2 + 9x + 4
Mathematically, we know that the y-intercept is the position on the graph where we have x = 0
so, to find the y-intercept value, we have to find g(0)
simply put, we have to substitute the value of 0 for x
Mathematically, we have this as;
g(0) = 5(0)^2 + 9(0) + 4
g(0) = 0 + 0 + 4
g(0) = 4
thus, we have the y-intercept point as (0,4)
2. Dado un número, la suma de su mitad, su doble y su triple es 55. ¿Qué número es?
Answer:
English
Step-by-step explanation:
can you speak English plzzz
we need that
Answer:
i dont speak taco ask again in english
Step-by-step explanation:
what number represents the same amount as 4 tens+0 ones
can you slve fasssst pls
Step-by-step explanation:
the value of x is 18 degree and the value of Y is 15 degree
The organizers want the zip line to have two platforms (towers / anchors). The first platform (on the higher ground) should be about 50 m away from the second platform. The slope length from the top of platform one to the top of platform two should be about 70 m. What would be the angle of depression from platform one to two to the nearest degree?
Answer:
The angle if depression is 44.4 degree.
Step-by-step explanation:
horizontal distance, d = 50 m
slope length, L = 70 m
The angle of depression is given by
[tex]cos\theta=\frac{d}{L}\\\\cos \theta = \frac{50}{70}\\\\cos \theta = 0.714\\\\\theta = 44.4^o[/tex]
Esmerelda flips a coin and draws a card. What is the possibility that she gets “heads” and a black card?
Answer:
1/4
Step-by-step explanation:
The probability of flipping a coin and landing a heads is 1/2. Their are 26 black cards in a standard deck of 52 cards- 26/52 (1/2). Multiply the fractions to get the probability.
1/2 * 1/2 = 1/4
The total resistance in a circuit with two parallel resistors is 2 ohms and R1 is 6 ohms. Using the equation for R2, in terms of RT and R1, what is R2 R2 blank is ohms
[tex]R_2[/tex] is 3 ohms
Step-by-step explanation:In a circuit containing two resistors [tex]R_1[/tex] and [tex]R_2[/tex] connected together in parallel, the total resistance [tex]R_T[/tex] is given by;
[tex]\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2}[/tex] ---------(i)
Make [tex]R_2[/tex] subject of the formula;
=> [tex]\frac{1}{R_2} = \frac{1}{R_T} - \frac{1}{R_1}[/tex]
=> [tex]\frac{1}{R_2} = \frac{R_1 - R_T}{R_TR_1}[/tex]
=> [tex]{R_2} = \frac{R_TR_1}{R_1 - R_T}[/tex] ---------------(ii)
From the question,
[tex]R_1[/tex] = 6Ω
[tex]R_T[/tex] = 2Ω
Substitute these values into equation (ii) as follows;
=> [tex]{R_2} = \frac{2*6}{6 - 2}[/tex]
[tex]{R_2} = \frac{12}{4}[/tex]
[tex]R_2[/tex] = 3Ω
Therefore, the value of [tex]R_2[/tex] = 3 ohms or [tex]R_2[/tex] = 3Ω
Answer: is 3 ohms.
Explanation: edmentum/plato :)
Again answer this for real
Answer: 20/300 = 1/15
Hope this helps...
Have a great day.
Find the value of angle y
Answer:
116
Step-by-step explanation:
116 is parallel to y so that are the same its called corresponding angles
When a transversal cuts two parallel lines, the corresponding angles are equal.
In the given figure, the corresponding angles are 116° and y
So, they are equal
⇒ y = 116°
Find the greatest common factor of 28a^3 , 12a^4 and 26a^5
Answer:
2a³
Step-by-step explanation:
2a³ can divide all these without living a remainder
If mABC=125 and mABD=94 then m DBC, somebody help!
Answer:
31 degrees
Step-by-step explanation:
Subtract 94 from 125 to get the measure of angle DBC.
?????????????????????
Answer:
[tex]\sqrt{x+6}[/tex]
Step-by-step explanation:
So, there are a few things we need to go over to graph a function,
When a number is outside of a root, it changes the y value. For example:
y=[tex]\sqrt{x}+6[/tex]
With the +6, y will always be 6 higher than normal.
If it was -6, then y will always be 6 lower than normal.
What if the number is inside the root? Well, it works a little differently.
Instead of changing the y value, it changes the x value. For example:
y=[tex]\sqrt{x+6}[/tex]
So if you put a number in for x, lets say -6, wht would you get?
You would get -6+6=0
The square root of 0 is 0, so when x=-6, y=0
Normally, x would have to equal 0 for the y value to be 0.
So basically, when we see the number isnide of the root, we can think the our x coordinate being subtracted by that number.
This makes since, because if we subtract the +6 from x:
x-(+6)= x-6, and -6 is our x coordinate.
If it was -6 at the start, this would also work:
x-(-6)= x+6. So our x coordinate would start at 6.
Now, lets look at our graph.
As we can see, the x values start at -6, and the y values starts at 0.
This eliminates A and D, since the +6 would change the y value, not the x.
Remember that x-6 would make x a postive 6.
x+6 however, would make x a negative 6.
So we need x+6 in a square root.
This eliminates B, since it has a x-6, making the x coordinate postive 6, not negative 6.
So c is our answer.
Hope this helps!
Pls answer this needs to be turned in at 3:00 pm today
Two vertices of a right triangle have the coordinates (-2, 5) and (9, 5). What is the length of the side formed by these vertices?
Answer:
11 unit
Step-by-step explanation:
Applying,
s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1
Where s = length of the side formed.
From the question,
Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5
Substitute these values into equation 1
s = √[(9+2)²+(5-5)²]
s = √(11²)
s = 11 unit.
Hence the length of the side formed by the vertices is 11 unit
Help me pls
this is very important
Answer:
C/3rd one. (y=2x+4)
Step-by-step explanation:
In the equation y=mx+b, m=slope of the line and b=y-intercept. From the graph, we know the y-intercept is 4 so we can write y=mx+4. To find the slope: (0-4)/(-2-0) = (-4)/(-2) = 2. We can replace the m with 2 to get the final equation of y=2x+4 which is also the third answer.
Type the equation for the graph below.
please help!!!
Answer:
y = 1sin(3x)
Step-by-step explanation:
y = A sin( (2π/ω)x )
A is amplitude = 1
ω is period = 2π/3
------------------------------
y = 1sin( 2π / (2π/3) x)
y = 1sin(3x)
The equation for the graph with a sinusoidal wave, given an amplitude of 1, a period of 2π/3, and a phase shift of 0, is y = sin((2π/3)x).
The equation for a sinusoidal wave can be written as:
y = A * sin(ωx + φ)
In this case, we are given the values of amplitude (A = 1), period (ω = 2π/3), and phase shift (φ = 0).
The amplitude (A) represents the maximum displacement or height of the wave from the center line. In this case, it is 1.
The period (ω) represents the length of one complete cycle of the wave. The period is the reciprocal of the frequency, and in this case, it is 2π/3.
The phase shift (φ) represents any horizontal displacement of the wave. In this case, the phase shift is 0, indicating that the wave starts at its equilibrium position.
Using these values, the equation for the given graph would be:
y = 1 * sin((2π/3)x + 0)
Simplifying it further:
y = sin((2π/3)x)
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A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the Pie Eating Contest or the Chili Cookoff. If all 20 students joined the same event, how would the shape of the histogram change compared to the original?
Histogram with title Pie Eating Contest, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50. Histogram with title Chili Cookoff, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 30, the second goes to 50, the third goes to 40, and the last goes to 10.
The Chili Cookoff would be more skewed.
The Pie Eating Contest would be more skewed.
The Chili Cookoff would be more symmetrical.
The Pie Eating Contest would be less symmetrical.
Answer:
The answer is A
Step-by-step explanation:
Answer:
A) The Chili Cookoff would be more skewed.
keep going! you are doing GREAT!
WILL GIVE BRAINLIEST!
3 Using SOH CAH TOA!
1 point
Find the missing side length,
1
16
23°
2
х
Type your answer...
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In the diagram, PN is perpendicular bisector of AB and is also the ange bisector of
Find the value of x
Answer:
x=19.78
Step-by-step explanation:
Given triangle:
P=2.0
h=5.9
[tex]sin x=\frac{2.0}{5.9} \\sin x=0.338\\x= sin ^-10.338\\x=19.78^0[/tex]
MARKING BRAINLIEST HELP PLS
Answer:
R(x) = 3.5x
Step-by-step explanation:
In economics, formula for total revenue is;
Total revenue = quantity sold × price.
In this question;
Let he quantity of drinks sold be x
We are told that the selling price is $3.50 per drinks
Since quantity is "x", then total revenue can be said to be R(x)
Thus;
Total revenue; R(x) = x × 3.50
R(x) = 3.5x
WILL GIVE BRAINIEST ONLY IF YOU GET IT RIGHT!!!!
choose the pair of sets which is equivalent
Answer:
set ={Sunday,Monday,Tuesday,Wednesda,Thursda,Friday, Saturday} and set={1,2,3,4,5}
Step-by-step explanation:
To be equivalent, the sets should have the same cardinality.What is the value of this expression when a = 7 and b = -4? 1201 - 6 3 OA. -6 OB. - 31 Oc. 37 D. 6
Answer:
OA . -6
Step-by-step explanation:
correct me if I'm wrong
pleaaseee explain !!
Answer:
64
Step-by-step explanation:13+51=64
Which is equivalent to7^(3/2) over 7^(1/2)?
A. 7^(1/3)
B. 7^(3/4)
C. 7^1
D. 7^2
E. 7^3
Given the expression below:
[tex] \large{ \frac{ {7}^{ \frac{3}{2} } }{ {7}^{ \frac{1}{2} } } }[/tex]
Use the following property:
[tex] \large \boxed{ {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } }[/tex]
Therefore:
[tex] \large{ \frac{ {7}^{ \frac{3}{2} } }{ {7}^{ \frac{1}{2} } } = \frac{ \sqrt{ {7}^{3} } }{ \sqrt{7} } } \\ \large{ \frac{ \sqrt{ {7}^{3} } }{ \sqrt{7} } = \frac{ \sqrt{7 \times 7 \times 7} }{ \sqrt{7} } \longrightarrow \frac{7 \sqrt{7} }{ \sqrt{7} } } \\ \large{ \frac{7 \cancel{ \sqrt{7} }}{ \cancel{ \sqrt{7} }} = 7}[/tex]
Note that a¹ = a. Therefore, 7¹ = 7.
Answer
7¹ or 7.How do you ratify the denominator for 2/ 2(sqrt2)? When I multiply by sqrt2/sqrt 2 I'm still left with a radical in the denominator.
Answer: [tex]\dfrac{\sqrt{2}}{2}[/tex]
Step-by-step explanation:
Given
The fraction is [tex]\dfrac{2}{2\sqrt{2}}[/tex]
Making denominator a number, multiply and divide by [tex]\sqrt{2}[/tex]
[tex]\Rightarrow \dfrac{2}{2\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}\\\\\Rightarrow \dfrac{2\sqrt{2}}{2\sqrt{2}\times \sqrt{2}}=\dfrac{2\sqrt{2}}{2\sqrt{2\times 2}}\\\\\text{cancel out the common term 2}\\\\\Rightarrow \dfrac{\sqrt{2}}{2}[/tex]
