Answer:
The standard deviation of the sampling distribution is [tex]\sigma =0.0087[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1500
The population proportion is [tex]p = 0.013[/tex]
Generally the standard deviation of this sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{ \frac{p (1- p)}{ n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.13(1-0.13)}{1500} }[/tex]
=> [tex]\sigma =0.0087[/tex]
The standard deviation of the considered sampling distribution of the proportion supporting the increase is 0.0027 approx.
How to find the sample standard deviation for distribution of a sample proportion?Suppose the sample proportion be denoted by [tex]\hat{p}[/tex], then, its distribution is normally distributed with mean [tex]p[/tex] and the standard deviation of distribution of [tex]\hat{p}[/tex] is given by
[tex]\sigma = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
where n is the sample size. It is true until [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]
For the given case, we're given that:
Sample size= n = 10Proportion average value = p = 13% = 0.13 Standard deviation = [tex]\sigma = \sqrt{\dfrac{0.13(1-0.13)}{1500}} = \sqrt{\dfrac{0.13 \times 0.87}{1500}} \approx 0.0027[/tex]Thus, standard deviation of the sampling distribution is approximately 0.0027
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What property is being used to go from step 4 to step 5?
The property which is being used to go from step 4 to step 5 is associative Property .
We know that "+" may be a positive sign, "−" may be a negative sign. once a symbol isn't denoted before variety, it always means that it's positive.The law of Associative Property of Addition implies that once three completely different integers are other, the obtained result's not stricken by the pattern of addition followed. The pattern won't influence the proper summation result. Again, allow us to have three integers X, Y and Z. As per the property, we've got the subsequent example supported X+(Y+Z) = (X+Y)+Z.In step 4 it is written that 30 + (-19x) -3 = 0
27 - 19x = 0
According to associative Property is we interchange the number with their sign it gives the same solution as this before .
On interchanging we get ,( -19x +30) -3 = 0
- 19x + 27 = 0
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PLEASE HELP!!!
Liam had $250. Then, he and his classmates bought a present for their teacher, evenly split the $p cost among the 24 of them. How much money does Liam have left? Write your answer as an expression.
Answer: the expression would be
6000-p over 24
Step-by-step explanation:since we have given that
amount that liam has=250
amount that he and his classmates had=p
student $p will split=24
Answer:
250-p/24
Step-by-step explanation:
Khan
Find QR: 3x+22=10x-41
Answer:
x=9
Step-by-step explanation:
subtract 22 from both sides, simplify 3x = 10x-63, subtract 10x from both sides of the equation, simplify -7x = -63, divide both sides of the equation by the same factor -7x/-7 = -63/-7, then simplify
The value of the variable 'x' is 9. Then the length of the side QR will be 49 units.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangles ΔQPR and ΔQRS are congruent triangles. Then the corresponding sides will be equal. Then the equation is given as,
PQ = QR
3x + 22 = 10x - 41
Simplify the equation, then we have
10x - 41 = 3x + 22
10x - 3x = 22 + 41
7x = 63
x = 63 / 7
x = 9
The length of the side QR is given as,
QP = 10 (9) - 41
QP = 90 - 41
QP = 49
The value of the variable 'x' is 9. Then the length of the side QR will be 49 units.
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There are 321 visitors at the library
Each library table seats 12 people. How
many tables are needed to seat all of
the visitors?
A) 20
B) 30
C) 27
D) 9
Answer
c)
Step-by-step explanation:
321÷12=26.75 ~ 27
Answer:
Therefore, 27 tables are needed to seat all of the visitors.
Step-by-step explanation:
In order to solve this question, we must divide 321 by 12, since there are 321 visitors, and each table seats 12 people.
321 ÷ 12 = 27 when rounded to the nearest whole number.
Therefore, 27 tables are needed to seat all of the visitors.
Hope this helps! :D
i need some helpppppppppp
slope-intercept form: y = mx + c, where m is the gradient and c is the y-intercept!!!
x - 26y = 52
-26y = -x + 52
y = x/26 - 2
Find the breadth of arectangular plot of land if its area is 3200 m² And the length is 80 m² Also find the perimeter of the plot . What will be the cost of the diggjng the land at Rs 25 per m²
Answer:
40 m wide240 m perimeter₹80,000 cost to digStep-by-step explanation:
Given a land area of 3200 m² with a length of 80 m, you want the width, perimeter, and cost of digging at ₹25/m².
WidthThe formula for the area of a rectangle can be used to find the width of the plot.
A = LW . . . . . . area is the product of length and width
3200 m² = (80 m)W . . . . . fill in given values
40 m = W . . . . . . . . . . . . divide by the coefficient of W
The width of the plot is 40 m.
PerimeterThe perimeter can be found using the formula ...
P = 2(L +W)
Using the length and width we know, this is ...
P = 2(80 m +40 m) = 2(120 m)
P = 240 m
The perimeter of the plot is 240 m.
Digging costThe cost of digging will be the product of the number of square meters and the cost of digging each one:
digging cost = (3200 m²)×(₹25 /m²) = ₹80,000
The cost of digging the land is ₹80,000.
Please help!! what's the answer
Answer:
B 244
Step-by-step explanation:
You can split up the polygon into two separate rectangles, one smaller one on top and one bigger one below.
Area of smaller rectangle = 6 × (14-8)
= 36
Area of bigger rectangle = 26 × 8
= 208
Total area of polygon = 36 + 208
= 244
a sandwich shop serves 4 ounces of meat in 3 oz of cheese on each sandwich. a
After making sandwiches for an hour this shop owner has 91 combined ounces of meat and cheese. How many combined ounces of meat and cheese are on each sandwich?
Answer:
The are 7 ounces of combined meat and cheese in each sandwich (4+3 =7)
There were 13 sandwiches made in the hour (91 oz/7 oz = 13)
52 ounces of meat were used (4*13 = 52) If 13 sandwiches were made, and we know that 4 ounces of meat were used on each sandwich, 4*13 would tell us how many ounces of meat total were used.
39 ounces of cheese were used (3*13 = 39) If 13 sandwiches were made, and we know that 3 ounces of cheese were used on each sandwich, 3*13 would tell us how many ounces of cheese total were used.
You can check to see if the multiplication answers are correct by adding them (39+52 = 91)
I hope this helps you!
Answer:
13
Step-by-step explanation:
4+3=7
91 divided by 7 =13
Find the midpoint of a line segment with
endpoints A(-5, 5) and B(2, -5). Leave your answer
in fraction form.
Show your own work
Answer:
(-3/2, 0)
Step-by-step explanation:
You want the midpoint of line segment AB with end points A(-5, 5) and B(2, -5).
MidpointThe midpoint of a line segment has coordinates that are the average of the end point coordinates.
M = (A +B)/2
M = ((-5, 5) +(2, -5))/2 = (-5+2, 5-5)/2 = (-3, 0)/2
M = (-3/2, 0)
The midpoint of the line segment is (-3/2, 0).
5 + x + 8w
how many terms are in the expression
Answer:
3
Step-by-step explanation:
Term are the number and signs to make a problem.
Ex: 4+5=9
all those are terms
What is m∠AED?
Enter your answer in the box.
°
Answer:
<AED = 65
Step-by-step explanation:
1. Find the value of "x"
Remember, verticle angles are congruent. A verticle angle is formed when two lines intersect, the verticle angles are the angles that are opposite from eachother.
This means that;
<AEB = <CED
Substitue int he values;
5x - 10 = 3x + 40
Inverse operations;
5x - 10 = 3x + 40
-3x -3x
2x - 10 = 40
+10 + 10
2x = 50
/2 /2
x = 25
2. Find the measure of <AEB
Subsitute in the value for "x" that was found;
<AEB = 5x - 10
5 (25) - 10
125 - 10
115
3. Find the measure of <AED
Use a linear pair, a linear pair is two angles whose sum is 180 degrees. If one can put two angles together, and they form a straight line, then it is a linear pair.
<AEB and <AED are make a linear pair because together they form line BD.
This means that;
<AEB + <AED = 180
Substitute in the values;
115 + <AED = 180
<AED = 65
Use proportional reasoning to determine the value of a in the proportion shown below.
25
a=1
a=25
a=10
a=15
it’s c
Answer:
c
Step-by-step explanation:
What he the quotient of -3/8 and -1/3?
A -1 1/8
B -1/8
C 1/8
D 1 1/8
Answer:
D
Step-by-step explanation:
Quotient means division
therefore, -3/8 / -1/3
-3/8 * 3/-1
=1/1/8 or 9/8 or 1.125
Find the length of side x in simplest radical form with a rational denominator.
60°
5
X
30°
What is the slope of the line that passes through the points (-9,5) and (-17,5)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
Without solving anything, we can tell that the line that crosses these points is a horizontal line because both of the y-coordinates are the same. This tells us that the slope of the line is 0.
To prove this, we can find the slope of the line by plugging the two points,[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], into the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]\frac{y_2-y_1}{x_2-x_1}\\\frac{5-5}{-17-(-9)}\\= \frac{0}{-17+9)}\\= \frac{0}{-8}\\= 0[/tex]
Therefore, the slope of the line that passes through the points (-9,5) and (-17,5) is 0.
I hope this helps!
Elisa withdrew $20 at a time from her bank account and withdrew a total of $140. Francis withdrew $45 at a time from his bank account and withdrew a total of $270. Who made the greater number of withdrawals? Justify your answer.
Answer:
elisa made more withrawalss
Step-by-step explanation:
because when you divide elisa's total withrawal by the amaount of cash she withrew at a time would be 140/20=7.Whwn you compare that to francis's withrawal would be 270/45=6. 7>6 so elisa made more withrawals than francis
Answer:
elisa did da most
Step-by-step explanation:
Approximately how many years will it take $3000 to double if it is invested in an account that pays 3%
compounded monthly? Round your answer to the nearest whole year.
Answer:
24 years
Step-by-step explanation:
Total = start*(1 + interest rate / amount of times compounded per month)^(years*amount of compounds per year)
6000 = 3000*(1+0.03/4)^(4x)
6000 = 3000* ((403/400)^4)^x
2 = ((403/400)^4)^x
x = log base-((403/400)^4) of 2 = x
x = 23.19
rounding down 23 years (but you probably want a year over that to get at least 6000, so 24)
Your total restaurant bill for food, drinks, and a 10% tip is $37.40. What is a good estimated
cost for just the food and drinks?
O$33.50
O$37.00
O$36.00
O$34.00
well, the total was really "x", which oddly enough is 100%, but if we include the tip that'd be 100% + 10% = 110%, which we happen to know is $37.40, that's the cost of food and drinks plus tip hmmm so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 37.40& 110 \end{array} \implies \cfrac{x}{3740}~~=~~\cfrac{100}{110} \\\\\\ \cfrac{x}{37.40}=\cfrac{10}{11}\implies 11x=374\implies x=\cfrac{374}{11}\implies x=34[/tex]
Answer:$34
Step-by-step explanation:
Anyone got any Idea in this maths question. My answer was 63.
Answer:
a: 2
b:93
Step-by-step explanation:
x=3
y-5
a)
4x-2y given
4(3)-2(5) substitution
12-10 multiply
2 subtract
b)
2x^2+3y^2 given
2(3^2)+3(5^2) substitution
2(9)+3(25) solve exponent
18+75 multiply
93
Answer:
A would be 2 assuming x=3 and y=5
B would be 36 + 225 . So I believe the answer is 261
Step-by-step explanation:
I hope you ace your test
Which description explains how the graph of f(x)=√x could be transformed to form the graph of g(x) = √x-6
horizontal shift of 6 units left
horizontal shift of 6 units right
vertical stretch by a factor of 6
vertical shift of 6 units up
Which equation represents the transformation of f(x)=|x| when effected by a vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units?
g(x)= 1/3 |x−4| + 2
g(x)= 1/3 |x+4| − 2
g(x)= 3 |x−4| + 2
g(x)= 3 |x+4| + 2
Answer:
b
c
Step-by-step explanation:
First question: x - 6 means there is a shift to the right.
Second Question: substitute the given values into the original equation for appropriate transformations.
Answer: 3 |x-4| + 2, because vertical stretch multiplies x, horizontal shifts are subtracted or added to x, and vertical shifts are added or subtracted to the entire function.
The movement of the curve in the graph is shifting of the curve in vertical or the horizontal direction.For the first function the graph horizontal shift of 6 units right and for the second function when it is vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units the transformation function is,
[tex]g(x)=3|x-4|+2[/tex]
Given-
The equation of the graph given in the problem is,
[tex]f(x)=\sqrt{x} [/tex]
Translation of the graphThe movement of the curve in the graph is shifting of the curve in vertical or the horizontal direction.
a) The equation of the graph when it is transferred is given as,[tex]g(x)=\sqrt{x-6} [/tex]
There is no change with the constant value. Thus the graph will not move in vertical direction. The change in variable of a unit result in the graph shift in horizontal direction.
As it shift -6 thus graph horizontal shift of 6 units right.
b) The given function is,[tex]f(x)=|x|[/tex]
Vertical stretch of 3 means multiply the function with unit 3.
[tex]g(x)=3|x|[/tex]
Horizontal shift to the right 4 units means the difference of 4 units in the variable,
[tex]g(x)=3|x-4|[/tex]
Vertical shifts up with 2 units means the addition of the constant 2.
[tex]g(x)=3|x-4|+2[/tex]
Hence, for the first function the graph horizontal shift of 6 units right and for the second function when it is vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units the transformation function is,
[tex]g(x)=3|x-4|+2[/tex]
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What am I doing wrong here?
In my bingo game you have to match 3 balls to win.
20 balls are drawn from a 60 ball total.
I’m able to deduce that I have a 1 / 34,220 chance of winning.
However, I win more like 1 / 100 attempts.
Please identify where my maths is going wrong:
My maths:
For the first ball there are 60 options.
For the second ball there are 59 options.
For the third ball there are 58 options.
I need to multiply these 3 options:
60 x 59 x 58 = 205,320
1 / 205,320.
However, the order of the numbers doesn’t matter, so we’ll exclude permutations from the total combinations:
Permutations = 3! = 3x2 = 6
205,320 / 6 = 34220
So to win a this game I have a 1 / 34,220 chance.
Why then am I winning 1/100 attempts? Something is very wrong.
Using the hypergeometric distribution, it is found that you are going to win approximately 3.33% of the time.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.For this problem, we have that:
There are 60 balls, hence N = 60.20 balls will be drawn, hence n = 20.3 balls are correct, hence k = 3.You win if you have the 3 correct balls, hence the probability is P(X = 3), found as follows:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,60,20,3) = \frac{C_{3,3}C_{60,20}}{C_{60,20}} = 0.0333[/tex]
Hence you are going to win approximately 3.33% of the time. The difference is because you considered that only 3 balls would be drawn, and not 20.
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Lia uses 14 cups of flour to make 4 loaves of bread. How much flour would you expect her to use to make 12 loaves of bread?
Answer:
She would need 42 cups of flour
Step-by-step explanation:
Which shape has at least one one pair of perpendicular sides?
Answer:
the square
Step-by-step explanation:
perpendicular = 90 degrees
Square (Option 1) has at least one pair of perpendicular sides
What is perpendicular?"Perpendicular means two lines, or sides, that meet at a right angle. A right angle is the measurement of 90 degrees."
What are perpendicular sides?"Perpendicular sides are at a 90-degree angle. Since they are so common, there is a special symbol to signify the sides are perpendicular without measuring."
Option 1
Squares are made up of two sets of parallel line segments, and their four 90° angles mean that those segments also happen to be perpendicular to one another.
Option 2
A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram.
Option 3
There are three angles in a triangle. These angles are formed by two sides of the triangle, which meets at a common point, known as the vertex. The sum of all three interior angles is equal to 180 degrees.
Option 4
A trapezoid is a quadrilateral with exactly one pair of parallel sides. Isosceles trapezoids have two sides which are equal sized and have the same angles between themselves and the bases.
Hence, Square (Option 1) has at least one pair of perpendicular sides
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Find The value of X to the nearest tenth
A 7.0
B 4.7
C 5.7
D 8.2
Which lines in the following proof of △ABC≅△CDA have the correct justification? Select all that apply.
Options:
A. AC≅AC, Reflexive Property of Congruence
B. ∠ACB≅∠CAD, Alternate Interior Angles Theorem
C. ∠BAC≅∠DCA, Alternate Interior Angles Theorem
D. △ABC≅△CDA, SAS Triangle Congruence Theorem
Answer:
A, B, CStep-by-step explanation:
Options:
A. AC≅AC, Reflexive Property of Congruence
Correct. This is shared side of the triangles ABC and CDAB. ∠ACB≅∠CAD, Alternate Interior Angles Theorem
Correct. BC and AD are parallel and AC is transversalC. ∠BAC≅∠DCA, Alternate Interior Angles Theorem
Correct. AB and DC are parallel and AC is transversalD. △ABC≅△CDA, SAS Triangle Congruence Theorem
Incorrect. This should be ASA as we have shown above the angles A and C and included side AC are congruent.Answer:
A and B and C
theres another answer right here that explains why
sarah assumes that an interior angle of a regular dodecagon is (8x-2)°, then the value of x is
Answer:
[tex]x = 19[/tex]
Step-by-step explanation:
Given
Shape: Regular Dodecagon
Interior Angle = 8x - 2
Required
Determine x
The sum of n terms of a regular polygon is:
[tex]Sum=180(n-2)[/tex]
Sides of a dodecagon is 12; So, we have:
[tex]Sum=180(12-2)[/tex]
[tex]Sum=180(10)[/tex]
[tex]Sum=1800[/tex]
Each angle is gotten by dividing 1800 by 12
[tex]Angle = \frac{1800}{12}[/tex]
[tex]Angle = 150[/tex]
Equate this to 8x - 2:
[tex]8x - 2 = 150[/tex]
Solve for x
[tex]8x = 150 + 2[/tex]
[tex]8x = 152[/tex]
[tex]x = 152/8[/tex]
[tex]x = 19[/tex]
A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 60 miles north of the transmitter to a second city 63 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
____________ miles
Answer: You would only be able to pick up 50miles worth of signal from the transmitter. P.s. i hope im not wrong
Step-by-step explanation:
Write the equation of a parabola whose directrix is y=9.75 and has a focus at (8, 0.25).
Answer:
y = (-1/19)(x - 8)² + 1521/76
Step-by-step explanation:
A parabola moves in such a way that it's distance from it's focus and directrix are always equal.
Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4
If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;
√((x - 8)² + (y - ¼)²)
Distance from that point to the directrix is; (y - 39/4)
Thus;
√((x - 8)² + (y - ¼)²) = (y - 39/4)
Taking the square of both sides gives;
((x - 8)² + (y - ¼)²) = (y - 39/4)²
(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²
Simplifying this gives;
(x - 8)² - (39/4)² = (½ - 39/2)y
(x - 8)² - 1521/4 = -19y
(x - 8)² - 1521/4 = -19y
Divide both sides by -19 to get;
y = (-1/19)(x - 8)² + 1521/76
What is the name of the line of reflection for the pair of figures? Enter your answer in the box. line Two identical block arrows that are parallel to each other and three lines p, q, and r. Line q goes through the horizontal length of the top block arrow and crosses exactly through the middle of block arrow. Line r is exactly between the two block arrows and is parallel to both arrows. Line p crosses through the two block arrows and is perpendicular to lines q and r.
Answer:
The name of line of reflection for the pair of figures is, line (r).
Step-by-step explanation:
Line of reflection : It is a line that divide a figure in two half similar or identical figures.
Or we can say that, a line of reflection is a line that divide a figure into two mirror images of the figure.
In mathematical terms we can say that, a line of reflection is a line where each point present in a shape appears at equal distance on the opposite side.
From this we conclude that,
The line 'r' represent the line of reflection.
The line 'q' represent the line of symmetry.
The line 'p' represent the line of asymmetry.
Hence, the name of line of reflection for the pair of figures is, line (r).
What is the slope of y = 6 ^ x when x=2?
The formula for the slope is________for h close to 0 (but not equal 0)
The best estimate for the slope is_____
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: f(x)= {6}^{x} [/tex]
we need to find f'(2) = ??
[tex]\qquad \sf \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{f(x + h) - f(x)}{h} [/tex]
[tex]\qquad \sf \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{6 {}^{x + h} - 6 {}^{x} }{h} [/tex]
[tex]\qquad \sf \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{6 {}^{x + h} - 6 {}^{x} }{h} [/tex]
[tex]\qquad \sf \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{6 {}^{x }( 6 {}^{h} - 1)}{h} [/tex]
[tex]\qquad \sf \dashrightarrow \: f {}^{ \prime} (x) =\: 6 {}^{x} \: log_{e}(6) [/tex]
Now, plug in 2 for x ~
[tex]\qquad \sf \dashrightarrow \: f {}^{ \prime} (2) =\: 6 {}^{2} \sdot log_{e}(6) [/tex]
[tex]\qquad \sf \dashrightarrow \: f {}^{ \prime} (2) =\: 36 \sdot (1.79)[/tex]
[tex]\qquad \sf \dashrightarrow \: f {}^{ \prime} (2) =64.44[/tex]