Answer:
The minimum sample size needed for each city = 922
Step-by-step explanation:
From the information given:
the objective is to find the minimum sample size needed for each city so that the margin of error not to exceed 6%.
If we take a look at the question very well:
we are only given the confidence interval of 99% and the margin of error of 6%
we were not informed or given the value or estimate of any proportions>
so we assume that:
[tex]p_1 =q_ 1= p_2 = q_2 = 0.5[/tex]
At confidence interval of 0.99 , the level of significance = 1 - 0.99 = 0.01
The critical value for [tex]z_{\alpha/2} = z_{0.01 /2}[/tex]
= [tex]z_{0.005}[/tex] = 2.576
The minimum sample size needed can be calculated by using the formula :
[tex]n = \dfrac{z^2_{\alpha/2}}{E^2}(p_1q_1+p_2q_2)[/tex]
[tex]n = \dfrac{2.576^2}{0.06^2}((0.5 \times 0.5)+(0.5 \times 0.5))[/tex]
[tex]n = \dfrac{6.635776}{0.0036}(0.25+0.25)[/tex]
[tex]n =1843.271 \times (0.5)[/tex]
n = 921.63
n [tex]\simeq[/tex] 922
∴ The minimum sample size needed for each city = 922
I need help X=? angle TGH=?
Answer:
x = 11
m<TGH = 82
Step-by-step explanation:
m<TGH + m<FGT = m<FGH
6x + 16 + 42 = 11x + 3
6x + 58 = 11x + 3
-5x = -55
x = 11
m<TGH = 6x + 16 = 6(11) + 16 = 82
What is this one Im unsure how to put this one
Answer:
70 DDegrees
Step-by-step explanation:
Answer:
70 degrees
Step-by-step explanation:
Since the angle opens from the right, we need to measure from the right. Reading the protractor from the right, we can see that the angle measures 70 degrees.
which of the following is the product for (x+4)(x-2)?
A. x^+ 2+2x-8
B. x^-2x-8
C. x-2
D. 2x^2+4x-8
Answer:
A
Step-by-step explanation:
X times x is x squared then x times - 2 is - 2x but 4 times x is 4x. So 4x plus - 2x is 2x. Then 4 times - 2 is - 8 put that all together you'll get x^+ 2+2x-8
Which ordered pair is a solution to the following linear system? y = x y = –x
A (0, 0)
B (0, 1)
C (1, 1)
D (1, 0)
Answer:
A (0, 0).
Step-by-step explanation:
y = x
y = -x
Therefore x = -x.
x + x = 0
x = 0
and y = x = 0.
Answer:
Which ordered pair is a solution to the following linear system?
y = x
y = –x
(1, 1)
(0, 1)
(1, 0)
Correct Answer
(0, 0)
Step-by-step explanation:
just did this on a test.
Five more than three times a number q in algebraic expression
Answer:
3q + 5
Step-by-step explanation:
Three times a number q is 3q, and 5 more than that is 3q + 5.
A person is buying apples while traveling in Europe. How will the price be mostly likely quoted? Choose the correct answer below. A. The price will be quoted in euros per milliliter because the price has unit of euros per unit of volume. B. The price will be quoted in euros per kilometer because because Europe is very large, so everything is quoted in kilometers. C. The price will be quoted in euros per milliliter because Europeans use the SI unit system. D. The price will be quoted in euros per kilometer because euros is the currency that is used in Europe. E. The price will be quoted in euros per kilogram because the price is quoted in currency per weight. F. The price will be quoted in euros per kilogram because one apple in Europe weighs one kilogram.
Answer:
E. The price will be quoted in euros per kilogram because the price is quoted in currency per weight
Step-by-step explanation:
The price will be quoted in euros per kilogram because the price is quoted in currency per weight
Currency in Europe is Euro
Apple have weight
Volume of apple is measured in kilogram
For instance, if the person is buying 10 kilograms of apples for 20 Euro.
Then the price per kilogram = 20/10
=2 Euro per kilogram
(-3)^5 x (-3)^2 in single power
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n}= a^{m+n}\\\\\\(-3)^{5}*(-3)^{2}=(-3)^{5+2}=(-3)^{7}[/tex]
Answer:
[tex]\Huge \boxed{\mathrm{(-3)^7}}[/tex]
Step-by-step explanation:
[tex](-3)^5 \times (-3)^2[/tex]
When bases are same for exponents in multiplication, the exponents are added.
[tex]a^b \times a^c=a^{b+c}[/tex]
[tex](-3)^{5+2}[/tex]
Add the exponents.
[tex](-3)^7[/tex]
The cost of an electrical gadget and the cost of a plumbing material were in the ratio 8:6 last year ,this year each cost was reduced by GHÇ 4.00 and their ratio changed to 7:5 respectively . Taking the Initial cost of the electrical gadget to be GHÇp Calculate the value of p and q
Answer:
P=25 q= -31
Step-by-step explanati
The value of p and q are 32 and 24. The relationship will be as p/q = 8/6.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The cost of an electrical gadget and the cost of a plumbing material were in the ratio 8:6 last year ,this year each cost was reduced by GHÇ 4.00 and their ratio changed to 7:5.
Make p the subject
p = 8q/6 ........equation 1
The year the price was reduced by 4
p - 4/q - 4 = 7/5
Cross multiplication;
5(p-4) = 7(q-4)
5p-20 = 7q-28
5p - 7q = -8 .......equation 2
Subtract 8q/6 for p in equation 1
5(8q/6) - 7q = -8
Multiply through by 6
40q - 42q = -48
-2q = -48
q = 24
Subtract 24 for q in equation 1
p = 8(24)/6
p = 192/6
p = 32
Therefore, the value of p and q are 32 and 24. The relationship will be as p/q = 8/6.
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The average heights of x number of girls and 15 boys is 123. if the average heights of boys is 125 and that of girls is 120.find number of girls.
Answer:
[tex]x = 10[/tex]. In other words, there number of girls is [tex]10[/tex].
Step-by-step explanation:
The average of a number of measurements is equal to the sum of these measurements over the number of measurements.
[tex]\displaystyle \text{Average} = \frac{\text{Sum of measurements}}{\text{Number of measurements}}[/tex].
Rewrite to obtain:
[tex]\begin{aligned}& \text{Sum of measurements}= (\text{Number of measurements}) \times (\text{Average}) \end{aligned}[/tex].
For this question:
[tex]\begin{aligned}& \text{Sum of heights of boys} \\ &= (\text{Number of boys}) \times (\text{Average height of boys}) \\ &= 15 \times 125 = 1875\end{aligned}[/tex].
[tex]\begin{aligned}& \text{Sum of heights of girls} \\ &= (\text{Number of girls}) \times (\text{Average height of girls}) \\ &= x \times 120 = 120\, x\end{aligned}[/tex].
Therefore:
[tex]\begin{aligned}& \text{Sum of boys and girls} \\ &= \text{Sum of heights of boys} + \text{Sum of heights of girls}\\ &= 1875 + 120\, x\end{aligned}[/tex].
On the other hand, there are [tex](15 + x)[/tex] boys and girls in total. Using the formula for average:
[tex]\begin{aligned}& \text{Average height of boys and girls} \\ &= \frac{\text{Sum of heights of boys and girls}}{\text{Number of boys and girls}} \\ &= \frac{1875 + 120\, x}{15 + x}\end{aligned}[/tex].
From the question, this average should be equal to [tex]123[/tex]. In other words:
[tex]\displaystyle \frac{1875 + 120\, x}{15 + x} = 123[/tex].
Solve this equation for [tex]x[/tex] to obtain:
[tex]1875 + 120\, x= 123\, (15 + x)[/tex].
[tex](123 - 120)\, x = 1875 - 123 \times 15[/tex].
[tex]x = 10[/tex].
In other words, the number of girls here is [tex]10[/tex].
Tavon has a $50 gift card that’s very loses $2 for each 30-day period it is not used. He has a $40 card that’s loses $1.50 for each 30-day period it is not used.
Answer:
Hello, thank you for your word problem. However, your word problem doesn't have a question to it. Please double check your answer. Thank you!
Step-by-step explanation:
Convert the following decimal to a fraction. Be sure to simplify your fraction, .19 repeated
Answer:
0.19 = 19/100
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
0.19=0.191
Multiply to remove 2 decimal placesy 102 = 100
0.19/1 × 100/100 = 19100
Conclusion
0.19=19100
Simplify the answer -12 ÷ 3 × (-8 + (-4)² - 6) + 2 I need the steps for the equation on how to solve it.
Answer:
-6
Step-by-step explanation:
We use PEMDAS to solve this,
so P stands for parentheses, so that's where we start.
We first, square the innermost parentheses with the exponent which is the E in PEMDAS, then then the outer parentheses
-12/3*(-8+16-6)+2
-12/3*(2)+2
Now we divide as in Division in PEMDAS.
-4*2+2
Now we multiply as in Multiplication in PEMDAS.
-8+2
Now we add as in A for Addition
-6
In PEMDAS, Multiplication doesn't always come before division, and same for addition and subtraction.
For the function f(x)=6x^2-2x+1, evaluate and fully simplify each of the following:
(Look at picture)
Answer to the 1st part: [tex]6x^2+12xh+6h^2-2x-2h+1[/tex]
Answer to the 2nd part: [tex]12x+6h-2[/tex]
==============================================
Work Shown:
Replace every x with (x+h). Expand and simplify
[tex]f(x) = 6x^2-2x+1\\\\f(x+h) = 6(x+h)^2-2(x+h)+1\\\\f(x+h) = 6(x^2+2xh+h^2)-2(x+h)+1\\\\f(x+h) = 6x^2+12xh+6h^2-2x-2h+1\\\\[/tex]
----------------------------
Subtract off f(x), then divide everything over h. Simplify.
[tex]f(x+h) = 6x^2+12xh+6h^2-2x-2h+1\\\\f(x+h)-f(x) = 6x^2+12xh+6h^2-2x-2h+1-(6x^2-2x+1)\\\\f(x+h)-f(x) = 6x^2+12xh+6h^2-2x-2h+1-6x^2+2x-1\\\\f(x+h)-f(x) = 12xh+6h^2-2h\\\\\frac{f(x+h)-f(x)}{h} = \frac{12xh+6h^2-2h}{h}\\\\\frac{f(x+h)-f(x)}{h} = \frac{h(12x+6h-2)}{h}\\\\\frac{f(x+h)-f(x)}{h} = 12x+6h-2\\\\[/tex]
The value of Function, [tex]f (x + h) = 6x^2 + 6 h^2 + 12 x h - 2x -2h + 1[/tex]
And, The value of [tex]\frac{f (x + h)- f(x)}{h} = 12 x + 6h -2[/tex].
Here, the function is given as,
[tex]f (x) = 6x^{2} -2x + 1[/tex]
What is function?
A function from a set X to a set Y assigns to each element of X exactly one element of Y.
Now,
Replace every x with (x + h) and expand it,
[tex]f (x) = 6x^{2} -2x + 1\\f (x+h) = 6(x+h)^{2} -2(x+h) + 1\\f (x+h) = 6 (x^{2} +h^{2} + 2xh) - 2x -2h +1\\f (x+h) = 6x^{2} +6h^{2} +12xh -2x-2h+1\\[/tex]
And,
[tex]f (x+h) - f(x) = ( 6x^{2} +6h^{2} +12xh -2x-2h+1) - (6x^{2} -2x+1)\\\frac{f (x+h) -f (x)}{h} =\frac{ ( 6x^{2} +6h^{2} +12xh -2x-2h+1) - (6x^{2} -2x+1)\\}{h} \\\frac{f (x+h) -f (x)}{h} =\frac{ 6x^{2} +6h^{2} +12xh -2x-2h+1 -6x^{2} +2x-1\\}{h} \\\\\frac{f (x+h) -f (x)}{h} =\frac{12xh +6h^{2}-2h }{h} \\\frac{f (x+h) -f (x)}{h} = 12x + 6h -2[/tex]
Hence,
The value of function [tex]f (x + h) = 6x^2 + 6 h^2 + 12 x h - 2x -2h + 1[/tex]
And, The value of [tex]\frac{f (x + h)- f(x)}{h} = 12 x + 6h -2[/tex].
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help please:))))))))))))))))
Answer:
B?
Step-by-step explanation:
2 are colored left to right, and 5 down
2/3 of the chart is taken up
Answer:
Hey there!
The correct answer would be C (Third one from the left).
The width is 2/5 (two out of five) and the length is 2/3 (two out of three)
Let me know if this helps :)
Ill love u forever if u answer correct Point F is reflected over the y-axis to create F’. Use an ordered pair to name the location of F’, and determine the distance between F and F’.
Answer:
F' = (-6,3)
Distance = 12 units
Step-by-step explanation:
F is currently at (6,3).
Reflected over the y-axis, it would be at (-6,3).
That puts them 12 units apart.
Las edades de dos hermanos tienen una razón de 2 a 1. Cuando transcurran 4 años, la razón entre sus edades será de 8 a 6. ¿Cuántos años tienen actualmente?
Answer:
The age of brothers are 4 years and 2 years respectively.
Step-by-step explanation:
We are given that the ages of two brothers have a ratio of 2 to 1. When 4 years have passed, the ratio of their ages will be 8 to 6.
Let the age of the first brother be 'x years' and the age of the second brother be 'y years'.
So, according to the question;
The first condition states that the ages of two brothers have a ratio of 2 to 1, that means;[tex]\frac{x}{y} =\frac{2}{1}[/tex]
[tex]x=2y[/tex] -------------- [equation 1]
The second condition states that when 4 years have passed, the ratio of their ages will be 8 to 6, that means;[tex]\frac{x+4}{y+4}=\frac{8}{6}[/tex]
[tex]6({x+4})=8}(y+4)[/tex]
[tex]6x+24=8y+32[/tex]
[tex]6(2y)+24=8y+32[/tex]
[tex]12y-8y=32-24[/tex]
[tex]4y=8[/tex]
[tex]y=\frac{8}{4}[/tex] = 2 years
Putting the value of y in equation 1 we get;
x = 2y
x = [tex]2 \times 2[/tex] = 4 years
Hence, the age of brothers are 4 years and 2 years respectively.
a scale model of a double decker bus is 7.0cm high and 15.4cm long.if the bus is 4.2m high how long is it
Answer:
9.24 m
Step-by-step explanation:
Dimensions of the scale model:
h = 7 cml = 15.4 cmDimensions of the real bus:
H = 4.2 mL =?The ratio is:
H/h = 4.2 m / 7 cm = 420 cm / 7 cm = 60Then:
L/l = 60L= 60 l = 60*15.4 = 924 cm = 9.24 mThe length of the bus is 9.24 m
Without actually multiplying, how can you tell if the product of two numbers will be negative?
Answer:
There are two simple rules to remember: When you multiply a negative number by a positive number then the product is always negative.
Step-by-step explanation:
HELP!!!!
Two airplanes leave the airport. Plane A departs at a 44' angle from the runway, and plane B departs at a 40' from the runway Which plane was farther away from
the airport when it was 6 miles from the ground? Round the solutions to the nearest hundredth
Plane A because it was 8.64 miles away
Plane A because it was 8.34 miles away
Plane B because it was 7.83 miles away
Plane B because it was 9.33 miles away
Question 4 Multiple Choice Worth 1 points)
(05.02 MC)
A triangle was dilated by a scale factor of 4. If tan a' =
and FD measures 12 units, how long is EF?
Question 3 (Not Answered). Om
Ned Question
Previous Question
Answer:
Step-by-step explanation:
Using the sine rule
Airplane A has
6 / sin 44 =
6 / 0.6947 =
8.64
Airplane B has.
6 / sin 40 =
6 / 0.6428 =
9.33
therefore, the answer is airplane B, because it was 9.33 miles away
To solve the equation from the previous screen, subtract
4 from each side.
x + 4 = -1
-4 -4.
What would the next step say? Enter it below.
PLEASE HELPP
100 50 points
Answer:
x = -5
Step-by-step explanation:
x + 4 = -1 (subtract -4 on each side)
(x + 4) + (-4) = -1 + (-4)
therefore,
x = -5
help meeee plzzzzzzz
Find the volume of a box with a height that is 4 inches less than the
length and a width equal to the length. Let x represent the length of the
box. (Formula for volume of a rectangular prism:V equals L times W
times H where L is length, W is width, H is height of the rectangular
prism)
Answer:
Volume of a rectangular prism = x^3 - 4x^2
Step-by-step explanation:
V = L*W*H
Where,
V= Volume of a rectangular prism
L= Length
W= Width
H= height
Volume of a rectangular prism= Length × Width × Height
Let
length of the box = x
width = length
Width = x
Height= x - 4
Volume of a rectangular prism= Length × Width × Height
= x * x * (x - 4)
= x^2 * (x - 4)
= x^3 - 4x^2
Volume of a rectangular prism = x^3 - 4x^2
What are the major arcs of o0 that contain point B?
Answer:
see below
Step-by-step explanation:
The four major arcs that include B will be the remainder of the circle after each minor arc is excluded.
Excluding minor arc AB, we have major arc BCA.
Excluding minor arc BC, we have major arc CDB.
Excluding minor arc CD, we have major arc DAC.
Excluding minor arc DA, we have major arc ABD.
x+1=1
what's x anwser?
Explain step by step
Answer:
[tex]\huge\boxed{x=0}[/tex]
Step-by-step explanation:
[tex]x+1=1\\\\x+1-1=1-1\\\\\boxed{x=0}[/tex]
The product of 3 and n
Mathematics
Answer:
Step-by-step explanation:
the product of 3 and n in mathematics is 3n or 3 times n The product of a number and three" should be 3n
where n is the number.
IN the answer of the question you would have to explain something like this:
Let n be the number. The product then is 3n
The reason for this is that you could also let n stand for the number, in which case the answer would be 3n
.
Pls help! 50 POINTS!
Answer:
See below.
Step-by-step explanation:
1)
So we have the equation:
[tex]2x+3y=1470[/tex]
To change into the slope-intercept form, we need to isolate the y-variable. Thus, subtract 2x from both sides:
[tex](2x+3y)-2x=(1470)-2x[/tex]
The left side cancels:
[tex]3y=1470-2x[/tex]
Now, divide both sides by 3. The left side cancels:
[tex](3y)/3=(-2x+1470)/3\\y=-\frac{2}{3} x+490[/tex]
The slope-intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
Thus, the slope is -2/3 and the y-intercept is 490.
2)
So, since we already know the y-intercept is 490, plot a point at (0,490).
The slope is too small to use. Thus, multiply the fraction by 100. It is now (-200/300). This means that we move down 200 for every 300 (recall that the slope means rise over run. Thus, we move down 200 for every 300 to the right). Thus, another possible point would be (0+300,490-200) or (300,290). Plot that. Then, connect them.
3)
To write in in function notation, simply substitute the y-variable for the function notation. Our independent variable here is x so we'll use that.
[tex]y=-\frac{2}{3}x+490\\ f(x)=-\frac{2}{3}x+490[/tex]
This means that for every x sandwiches made, there is f(x) wraps made for the total sum to be $1,470.
For example, if 105 sandwiches were made, then f(105)=-2/3(105)+490=420 wraps were made for the total profit to be $1,470.
4)
Please refer to the attached graph.
5)
First, since the total profit has now increased, the graph above and to the right of the old graph. This is because Sal needs to sell more sandwiches and wraps. Likewise, because of this, the x- and y-intercepts will also be different. Nevertheless, if converted into the slope-intercept equation, the slope will remain the same.
Answer:
Hey mate,these answers has been excluded from the NCERT syllabus.
Thank you
I've answered as fast as I can to answer your question.Hope you understood it.
Pls mark my answer as brainliest and follow me.
Which of the following choices will simplify
(2+6)/4
+ 12 x 3 + 1
A. 39
B. 40
C. 43
D. None of these choices are correct.
Answer:
A. 39
Step-by-step explanation:
( 2 + 6 ) / 4 + 12 × 3 + 1
first solve the bracket .
8 / 4 + 12 × 3 + 1
then do the division or multiplication.
2 + 36 + 1
finally do the addition or subtraction.
39
The order
{
1. B - Bracket
2. O - Or
3. D - Division
M - Multiplication
4. A - Addition
S - Subtraction }
A triangle has two 12‑centimeter sides. Which of the following CANNOT be the length of the third side? A. 12 cm B. 6 cm C. 24 cm D. 18 cm
Answer:
C.
Step-by-step explanation:
The sum of two sides have to be greater than than the third (Triangle Inequality Theorem). 24 is equal to 24, not greater.
Answer:
C. 24m cannot be the length of the third side
Step-by-step explanation:
the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
a = 12, b = 12
c < a + b
c < 24
therefore based on the choices...
C. 24m cannot be the length of the third side.
A person who sold an article at a profit of 20% if he sold it for RS 81 less his loss would have been 12% . Find it's cost price .
Answer:
Rs 253.13
Step-by-step explanation:
The item cost him x.
Selling at a profit of 20% means he sold it for 1.2x.
Selling at a loss of 12% means that he sold it for 0.88x.
1.2x - 81 = 0.88x
1.2x - 0.88x = 81
0.32x = 81
x = 253.13
Which number is a solution of the inequality 8 – 14b ≥ 27?
Answer:
[tex]b\leq -\frac{19}{14}[/tex]
Step-by-step explanation:
First, write out the equation as you have been given it:
[tex]8-14b\geq 27[/tex]
Now, subtract 8 from both sides:
[tex]8-8-14b\geq 27-8\\-14b\geq 19[/tex]
Now, divide both sides by -14 and flip the inequality sign since we are dividing by a negative:
[tex]\frac{-14b}{-14} \geq \frac{19}{-14}\\b\leq -\frac{19}{14}[/tex]
The highest solution to the inequality is -19/14, and any number lower will also work.