Answer:
i) Estimate the value of the population proportion = 0.8
ii) 95% confidence interval for the population proportion
(0.7214 , 0.8784)
iii) Lower bound = 0.7214
upper bound = 0.8784
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 100
Given data he surveys 100 customers and finds that 80 paid at the pump
sample proportion
[tex]p = \frac{x}{n} = \frac{80}{100} = 0.8[/tex]
Step(ii):-
95% confidence interval for the population proportion is determined by
[tex](p^{-} - Z_{\alpha } \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{\alpha } \sqrt{\frac{p(1-p)}{n} })[/tex]
Level of significance
∝ =0.05
Z₀.₀₅ = 1.96
[tex](0.8 - 1.96 \sqrt{\frac{0.8 X 0.2)}{100} } , 0.8 + 1.96 \sqrt{\frac{0.8 X 0.2}{100} })[/tex]
On calculation , we get
(0.8 - 0.0784 , 0.8 + 0.0784)
(0.7214 , 0.8784)
Conclusion:-
95% confidence interval for the population proportion
(0.7214 , 0.8784)
A portion of the Quadratic Formula proof is shown. Fill in the missing statement. x equals b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x plus b over 2 times a equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
Answer: [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Step-by-step explanation:
When you subtract b/2a from both sides, you end up with the Quadratic Formula.
Answer:
[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]
Step-by-step explanation:
[tex]\displaystyle x+\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}[/tex]
Subtract [tex]\frac{b}{2a}[/tex] from both sides.
[tex]\displaystyle x+\frac{b}{2a} -\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}-\frac{b}{2a}[/tex]
[tex]\displaystyle x=\frac{ \± \sqrt{b^2-4ac} -b}{2a}[/tex]
[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]
This is a quadratic formula.
Please answer this question now
Answer:
7.8
Step-by-step explanation:
To do this problem you need to know Pythagorean Theorem which is also known as [tex]a^{2} +b^{2} =c^{2}[/tex].
In this problem 6 would be a, 5 would be b, and d would be c. So to do this we would do 5 squared (which is 25)+ 6 squared which is 36) and you would get 61 and when you do that you will just take the square root of that which is 7.81 and round it to the nearest tenth which is 7.8 and that would be the final answer
Need help on these appreciate it
Answer:
Circle B:
[tex](x+4)^2+(y+3)^2=4[/tex]
Circle F:
[tex](x-4)^2+(y-1)^2=16[/tex]
Step-by-step explanation:
We can write the equation of a circle equation with center on (h,k) and radius r as:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Then, we analyze the circle will have for the circle B:
- It has a center in x=-4 and y=-3.
- It radius can be calculated from the distance from the center (x,y)=(-4,-3) to one of its points (x,y)=(-4, -1). Then, its radius is r=2.
Then, we can write the equation as:
[tex](x-h)^2+(y-k)^2=r^2\\\\h=-4\\k=-3\\r=2\\\\(x+4)^2+(y+3)^2=4[/tex]
we analyze the circle will have for the circle F:
- It has a center in x=4 and y=1.
- It radius can be calculated from the distance from the center (x,y)=(4, 1) to one of its points (x,y)=(0, 1). Then, its radius is r=4.
Then, we can write the equation as:
[tex](x-h)^2+(y-k)^2=r^2\\\\h=4\\k=1\\r=4\\\\(x-4)^2+(y-1)^2=16[/tex]
I don't understand the British system of colonization
Answer:
Which of the following numbers is a composite number that is divisible by 3? A. 49 B. 103 C. 163 D. 261 Answer: B) 245
Step-by-step explanation:
Write an expression for the cost of 12 uniforms, multiply 12 by the cost of 1 uniform.
Answer:
384
Step-by-step explanation:
the cost of the shirt is 13, pants is 11, and 8 for socks
13+11+8=32
the cost of 12 uniforms:12(13+11+8)=384
p(a)= .5, p(b)= .4, and p(a and b)= .15. what is p(a OR b)
Answer:
Step-by-step explanation:
Hello
p(A∪B) = p(A) + p(B) - p(A∩B) = 0.5 + 0.4 - 0.15 = 0.9 - 0.15 = 0.75
hope this helps
A medical equipment industry manufactures X-ray machines. The unit cost (the cost in dollars to make each X-ray machine) depends on the number of machines made. If machines are made, then the unit cost is given by the function . What is the minimum unit cost?Do not round your answer.
Answer:
$14,362
Step-by-step explanation:
The computation of the minimum unit cost is shown below:
Given that
0.6x^2 - 108x + 19,222
And as we know that the quadratic equation form is
ax^2 + bx + c
where
a = 0.6
b = -108
c = 19,222
Now for determining the minimal cost we applied the following formula which is
[tex]= \frac{-b}{2a} \\\\ = \frac{-(-108)}{2\times 0.6} \\\\ = \frac{108}{1.2}[/tex]
= 90
Now put these values to the above equation
[tex]= 0.6\times 90^{2} - 108 \times 90 + 19,222[/tex]
= 14,362
help plzz ... Trigonometry
Answer:
XYZ = 21.8
Step-by-step explanation:
the missing angle is XYZ
cos XYZ = [tex]\frac{adjacent}{hypotenus}[/tex] tan XYZ = [tex]\frac{6}{15}[/tex] tan XYz = 0.4using a calculator:
tan^(-1)(0.4)= 21.8so XYZ = 21.8
*Marie made a model (shown below) of the square pyramid she plans to build when she grows up. Find the surface area of the model. 8 12 12
Answer:
336m^2
Step-by-step explanation:
The triangle area is half of base times height so: 1/2*8*12=48m^2
There are 4 triangles so 48*4=192
Then the square base area is side times side so: 12*12=144m^2
Then surface area of model is 192m^2+144m^2=336m^2
Answer:
336 m²
Step-by-step explanation:
We can find the surface area of this pyramid by finding the surface area of one of the sides, multiplying it by 4 (as there are 4 sides to the pyramid) then adding it to the surface area of the base.
Each side of this (excluding the base) is a triangle, and to find the area of a triangle we use the equation [tex]\frac{b \cdot h}{2}[/tex].
[tex]\frac{12 \cdot 8}{2}[/tex]
[tex]\frac{96}{2}[/tex]
48.
So, one side of this is 48. Multiplying it by 4 gets us 192.
Now we have to add the area of the base. The area of the bass is a square with side lengths of 12, so we can square 12 to get the area of the bass. 12² = 144.
Now let's add these numbers:
192+144 = 336
So, 336 m² is what this comes out to.
Hope this helped!
Answer this question will give brainliest.
Answer:
A.Step-by-step explanation:
Faktor (x-a) means a is x-intercept
x-10 ⇒ 10 is x-intercept
22-x ⇒ 22 is x-intercept
x+10 ⇒ -10 is x-intercept
20+x ⇒ -22 is x-intercept
so in the graph have to be at least two intercepts <0 and at least two intercepts >0
What the answer fast now
Answer:
TW = 3.2 yd
Step-by-step explanation:
In the picture attached,
Triangle TWV has been given with angle W = 90°
By applying Sine rule in the given right triangle,
Since, Sine of an angle is the ratio of its opposite side and hypotenuse (side opposite to the right angle)
SinV = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
SinV = [tex]\frac{\text{TW}}{\text{TV}}[/tex]
Sin(32)°= [tex]\frac{\text{TW}}{6}[/tex]
TW = 6.Sin(32)°
TW = 3.1795
TW = 3.2 yd
Therefore, measure of the side TW = 3.2 yd.
The coordinates of point L on a coordinate grid are (−2, −4). Point L is reflected across the y-axis to obtain point M and across the x-axis to obtain point N. What are the coordinates of points M and N? M(2, 4), N(−2, −4) M(2, −4), N(−2, 4) M(−2, −4), N(2, 4) M(−2, 4), N(2, −4)
Answer:
M(2, −4), N(−2, 4)
Step-by-step explanation:
Transformation is the movement of a point from one place to another. If an object is transformed, all the points of the object are being changed. There are different types of transformation which are: Reflection, rotation, translation and dilation.
Reflection of a point is the flipping of a point. If a point A(x, y) is reflected across the x axis, the new point is A'(x, -y). If a point B(x, y) is reflected across the y axis, the new point is A'(-x, y).
The coordinates of point L on a coordinate grid are (−2, −4), if Point L is reflected across the y-axis to obtain point M, the coordinates of M is at (2, -4).
if Point L is reflected across the x-axis to obtain point N, the coordinates of N is at (-2, 4).
Answer: M(2, −4), N(−2, 4) So D can i get branliest
Step-by-step explanation:
a pile of steel plates is 2.75 feet high. if the plates are 0.375 inch thick. how many are there in the pile.
Answer:
88
Step-by-step explanation:
2.75 ft = (2.75 ft)(12 in/ft) = 33 in
At 0.375 inches per plate, there will be ...
(33 in)/(0.375 in/plate) = 88 plates
There are 88 steel plates in the pile.
x−12=−4y 2x+8y=−14 Which of the following represents a solution (x,y) to the system of equations above?
Plane A is descending toward the local airport, and plane B is ascending from the same airport. Plane A is descending at a rate of 2,500 feet per minute. Plane B is ascending at a rate of 4,000 feet per minute. If plane A is currently at an altitude of 14,000 feet and plane B is at an altitude of 1,000 feet, how long will it take them to be at the same altitude? The equation representing plane A’s descent is y = -2,500x + 14,000. The equation representing plane B’s ascent is y = 4,000x + 1,000. In both equations, y represents altitude and x represents time in minutes.
Answer: 2 minutes
Step-by-step explanation:
Given the following :
Plane A's descent :
y = -2,500x + 14,000
Plane B's Ascent :
y = 4,000x + 1,000
where y = altitude x = minute
Time to be at the same altitude :
Being at the same altitude means ;
Plane A's descent = Plane B's Ascent
-2,500x + 14,000 = 4,000x + 1,000
-2500x - 4000x = 1000 - 14000
-6500x = - 13000
x = 13000 / 6500
x = 2
x = 2minutes.
Do you know the adjustments for the graph to show the intersecting lines.
I don’t know how to answer this?
Answer:
SOLUTION SET ={a/a≥20}
Step-by-step explanation:
[tex]\frac{2a}{5}-2\geq\frac{a}{4}+1[/tex]
[tex]adding 2 on both sides[/tex]
[tex]\frac{2a}{5}-2+2\geq \frac{a}{4}+1+2[/tex]
[tex]now subtracting \frac{a}{4} on both sides[/tex]
[tex]\frac{2a}{5}-\frac{a}{4}\geq 3[/tex]
[tex]takig LCM as 20\\\frac{8a}{20}-\frac{5a}{20}\geq 3[/tex]
[tex]\frac{3a}{20}\geq 3[/tex]
[tex]by cross-multiplication[/tex]
3a≥3×20
3a≥60
dividing 3 on both sides
3a/3≥60/3
a≥20
SOLUTION SET ={a/a≥20} is the answer
i hope this will help you :)
Given: r || s, and t is a transversal that cuts both r and s. Prove: <1 = <5, <2 = <6, <3 = <7, and <4 = <8 Write a paragraph proof to prove that the corresponding angles shown are congruent.
Answer:
Lines r and s are parallel as Corresponding Angles given. There are four pairs of corresponding angles: angle 1 and angle 5, angle 2 and angle 6, angle 3 and angle 7, and angle 4 and angle 8. Since r and s are parallel, the slope of r is equal to the slope of s. Since t is a straight line, the slope of t is the same at both intersections, by the definition of a straight line. Thus, the corresponding angles created at both intersections must have the same measure, since the difference of the slopes at each intersection is the same, and the intersections share a common line. So, corresponding angles must have equal measure. Therefore, by definition of congruent angles, corresponding angles are congruent: angle 1 is congruent to angle 5, angle 2 is congruent to angle 6, angle 3 is congruent to angle 7, and angle 4 is congruent to angle 8.
Step-by-step explanation
answer from haven
-2x(x+3)-(x+1)(x-2) please help me solve this
Answer:
u have to multiply these.
it's too easy .
see I will tell you the answer.
-2x²-6x-(x²-2x+x-2)
Now the signs of the underlined terms will change because negative sign is outside it.
-2x²-6x-x²+ 2x-x + 2
Now we have to solve it simply
-2x²-x²-6x+ 2x-x + 2
-3x²-5x+2
so here is ur answer.
for Indians it is soo simple question bro
I am Indian
if u need any help plz let me know.
A cookie recipe requires 3 teaspoons of baking soda for 36 cookies. If the baker would like to make 480 cookies, how much baking soda will be required?
a
13.33 teaspoons
b
12 teaspoons
c
40 teaspoons
d
108 teaspoons
Answer:
C: 40 teaspoons.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
This is a straight proportion question. Many things can be solved with a proportion. This is a good example of what is possible.
Formula
3 teaspoons x
====== =========
36 cookies 480 cookies
Notice that in the end, the units of teaspoons will be left. Multiply both sides by 480
3 teaspoons * 480 cookies
======================= = X
36 cookies
Notice the cookies cancel
3 teaspoons * 480
=============== = x
36
x = 1440/36 teaspoons.
x = 40 teaspoons
answer: C
HELP ME PLSSSSSSSSSSS ALL MY POINTS
Answer:
B
Step-by-step explanation:
You can not take a square root of a negative number, because than it will become imaginary. So X has to be equal to or greater than 10.
WILL MARK BRAINLIEST!! PLZ HELP!!
Answer:
The answer is D.
Step-by-step explanation:
When x=0, then y=300, so it has to be more than that.
When x=25, y=300, so it has to be less than that.
Solve for x in the diagram below.
Answer:
x=20
Step-by-step explanation:
3x + 2x + 80=180
5x+80=180
5x=100
x=20
Answer:
x = 20 degrees
Step-by-step explanation:
For this problem, it is important to know that the measure of a line is 180 degrees. With this in mind, let's build an equation:
3x + 80 + 2x = 180
Now that we have this equation, let's solve for x.
3x + 80 + 2x = 180
5x + 80 = 180
5x = 100
x = 20
Hence, x is 20 degrees.
Cheers.
Reorder the following equations in ascending order of steepness: y= 15x + 5 y= 0.15x - 1 y=x y= x + 100
Answer:
y= 0.15x - 1, y = x, y = x + 100, y = 15x + 5.
Step-by-step explanation:
When the slope of a line is less than 1 (if the slope is a decimal), the slope will not be steep. But when the slope is more than 1, the slope will be steeper than the average.
According to that rule, the steepest will be y = 15x + 5.
The next steepest equations will be y = x and y = x + 100 (they are both at the same degree of steepness; the intercept does not impact the steepness of the line).
The least steepest will bey = 0.15x - 1.
So, the order, from least steep to most steep, will be y= 0.15x - 1, y = x, y = x + 100, y = 15x + 5.
Hope this helps!
HELP ME PLLEEEEASE I BEG
Tristan wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 3% and the other bank is offering a rate of 2.5% compounded annually. If Tristan decides to deposit $7,000 for 4 years, which bank would be the better deal? 1. a simple interest rate of 3% 2. a compound interest rate of 2.5%
Answer:
The bank offering simple interest at rate of 3% for four years
Step-by-step explanation:
Hello,
To find out which deal would be better, we have to find how much accrued on the simple and compound interest.
Data;
Principal (P) = $7,000
Time = 4 years
Simple interest rate = 3%
S.I = PRT / 100
S.I = (7000 × 3 × 4) / 100
S.I = $840
In four years, he would have $7000 + $840 = $7840.
For compound interest,
C.I = P(1 + r/n)^nt
Where n = number of time compounded = 1 (since it's annually)
rate = 2.5% = 2.5/ 100 = 0.025
C.I = 7000(1 + 0.025/1)⁽¹*⁴⁾
C.I = 7000 (1 + 0.025)⁴
C.I = 7000×(1.025)⁴
C.I = 7000 × 1.1038
C.I = $7726.6
In four years he would have $7,726.6
After calculating and evaluating both option, it's advisable for him to select the bank offering a simple interest of 3% for four years
Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F’G’H’I’
Which rule represents the translation of hexagon DEFGHI to hexagon D’E’F’G’H’I’?
(x,y)—> (x-8,y-7)
(x,y) —> (x-7,x-8)
(x,y) —> ( x-4,x-5)
(x,y) —> ( x-5,y-4)
Answer:
The answer is "[tex]\bold{(x,y)\longrightarrow (x-8, y-7)}[/tex]".
Step-by-step explanation:
In the given question some data is missing. so, the correct answer to this can be explained in the following example:
In the given example, point D is also known as the coordinates in the (2, 5), and in the coordination of the D prime (D') and after translation its co-ordinates value is (-6, -2). Since the very first choice is only accurate as:
⇒2-8 = -6
⇒ 5-7 = -2
It can try certain things too and see why this alone is the correct translation.
can you please help me
Apply the rule x^m/n = nsqrt(x^m)
(2) ^x/12 = 12sqrt(2^x)
The answer is the 3rd choice
what is the 46th term of the arithmetic sequence with this explicit formula
Answer:
A. -146
Step-by-step explanation
46th term = -11 + ( 46 -1) (-3)
= -11 + (45)(-3)
=-11 -135
= - 146
Solve the inequality. 12x – 3x + 11 > 4x – (17 – 9x)
Answer:
20>4
Step-by-step explanation:
12-3 forget about the x 12-3=9 . 9+11=20
(17-9)=8 . 8-4 =4
so your answer is correct
Answer:Subtract 3x from 12x
9 x + 11 > 4 x − ( 17 − 9 x )
Simplify 4 x − ( 17 − 9 x ) .
9 x + 11 > 13 x − 17
Move all terms containing x to the left side of the inequality.
−4 x + 11 > − 17
Move all terms not containing x to the right side of the inequality.
− 4 x > − 28
Divide each term by − 4 and simplify
x < 7
Interval Notation:
( − ∞ , 7 )
A restaurant serves only tacos and enchiladas. If 60% of everyone who ate at the restaurant on a certain day ordered tacos, what percentage of those who ate at the restaurant ordered enchiladas that day
Answer:
i. 70%
ii. 70%
Step-by-step explanation:
Since in the question, it is given that 60% of everyone is ordered tacos so 40% of everyone is ordered enchiladas
i. Now if half ordered tacos that means out of these 30 orders enchiladas.
since 30 ordered tacos that means 70% ordered enchiladas
ii. Now for 3 by 4 we have to assume the number of people who ordered only enchiladas be x
So,
For both, it would be 0.75 x
And, the number of people who did not order is 40 as 60 tacos are ordered by people
So, the percentage is
= 40 × 0.75 + 40
= 30 + 40
= 70%