The Confidence interval for 95% who believes that the local businesses overcharge = (0.7026, 0.7574)
What is meant by confidence interval?The range of values we see in our sample and hope to identify the value that most closely represents the population are referred to as a confidence interval.
According to the given information:Sample size n = 1000
73% of town residents believed that local businesses overcharged for their products over 1000 resident.
= (1000/100) x 73
= 730
Sample proportion p = 730/1000
= .73
q = 1-p = 0.23
Std error of proportion = √(pq/n)
= √((.73*0.27)/1000)
= 0.0140
95% Z critical value = 1.96
Margin of error = 1.96*0.0140
= 0.0274
Confidence interval = sample proportion ±margin of error
(0.7026, 0.7574)
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Farid spends of his monthly salary every month. If he spends RM280 for house rent that is 40% from his total 8 monthly expenditure, how much is his monthly salary?
Answer:
Step-by-step explanation:
RM 280 = 40% of 8 months
RM 700= 100% of 8 months
RM 700/8= 8 months
RM 87.5 = 1 month
Answer = 87.5
Farid's monthly salary is approximately RM 87.5. He spends 40% of his total 8-month expenditure on house rent, which amounts to RM 280 per month.
Let's assume Farid's monthly salary is RM x.
Given that he spends 40% of his total 8 monthly expenditure on house rent, and the amount he spends on house rent is RM 280, we can set up the following equation:
0.40 × 8x = 280
Now, let's solve for x:
0.40 × 8x = 280
3.2 × x = 280
x = 280 / 3.2
x ≈ 87.5
So, Farid's monthly salary is approximately RM 87.5.
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An ANOVA procedure is applied to data obtained from four distinct populations. The samples, each comprised of 15 observations, were taken from the four populations. The degrees of freedom for the numerator and denominator for the critical value of F are ________.
The degrees of freedom for the numerator and denominator for the critical value of F are _3 and 56, respectively_.
The samples, each comprised of 15 observations, were taken from the four populations.
How to find the degrees of freedom?The determine the degrees of freedom for the numerator and denominator for the critical value of F is given below:
k = 4
n = 15
Total degree of freedom;
= nk - 1
= 59
For numerator, it is
= k -1
= 4 - 1
= 3
For denominator it is
= T - (k -1 )
= 59 - 3
= 56
The degrees of freedom for the numerator and denominator for the critical value of F are _3 and 56, respectively_.
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Use the diagram to complete the following tasks.
Given: S' is the midpoint of QT.
Finish the following statement: AQRSA_
Identify the congruent Zs.
Justify your answer.
R
S
This exercise is about a proof in Euclidian geometry. See the explanation below.
What is Euclidian Geometry?The study of solid and flat objects using the axioms and theorems developed by the Greek mathematician Euclid is known as Euclidean geometry (c. 300 bce).
What is the statement that completes the above proof?Given that S is the midpoint of [tex]\overline{QT}[/tex]:
Hence QS = TS ......................1
It is right to indicate that
PQ = TV ........................2
And ∠RSQ is vertically opposite to ∠TSV
Hence
∠RSQ = ∠TSV.........................3
Given 1, 2, and 3,
Δ QRS ≅ ΔVTS
Therefore,
Δ QRS ≅ ΔVTS
and ∠ RSQ can be termed to be congruent to ∠TSV.
What does it mean for an angel to be congruent?It is to be noted that the measure of an angle is the same for congruent angles. An ordinary pentagon, for instance, has five sides and five angles, each of which is 108 degrees.
The angles of a regular polygon will always be congruent, regardless of its size or scale.
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The table shown below gives the estimated number of text messages sent in the U.S. by year. Approximately how many times as many text messages were sent in the U.S. in 201120112011 as in 200520052005?
The approximate number of text messages sent in 2011 is 2 x 10^1.
What is the approximate number of text messages sent in 2011 ?Scientific notation is used in expressing large numbers in smaller numbers. To write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
118, 000, 000, 000 in scientific notation is 1,18 x 10^11
2,357, 000, 000, 000 in scientific notation is 2.357 x 10^12
Difference in messages sent in 2011 compared to 2005 : (2.357 / 1.18) x 10^(12 - 11)
2 x 10^1
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PLEASE HELP IM STUCK
Answer:
y= 2x + 10
Step-by-step explanation:
The variable depends on the $2 so, the green box should be 2
Rajini throws a die. What is the chance of her getting a number 8?
Answer:
Hey there!
Step-by-step explanation:
This is ur answer...
0/6She has no chance getting an 8 because 8 doesn't exist in a dice....She can get 1-6 only....Hope it helps!
Brainliest pls!
Have a good day!^^
Suppose we want to choose 5 letters, without replacement, from 16 distinct letters.
(a) If the order of the choices is taken into consideration, how many ways can this be done?
(b) If the order of the choices is not taken into consideration, how many ways can this be done?
Answer: Your answers are
A. 1, 287 ways
B. 154,440 ways
Hope this helped :D
Please mark me brainliest
The operation * is defined over the set of ordered pairs by (a,b)*(c,d)=(ac-bd,ad+bc) for all (a,b),(c,d)€R given that the inverse of (a,b) is (c,d) find an expression for c and d in terms of a and b hence find the inverse of (2,1)
a. The expressions for c and d in terms of a and b are
c = -2b³/[(a⁴ - b⁴)a] + 1/(a - b) and d = -2b²/(a⁴ - b⁴)b. The inverse of (2,1) is (13/15, -4/15)
The question has to do with binary operation.
What is a binary operation?A binary operation is a rule of mathematical operation on two sets of elements defined on a given set.
a. How to find the expression for c and dSince The operation * is defined over the set of ordered pairs by (a,b)*(c,d)=(ac-bd,ad+bc) for all (a,b),(c,d)€R given that the inverse of (a,b) is (c,d).
Let (e, e') be the identity element.
We know that for any binary operation * on a given set, a*e = a where e is the identity element.
So, (a,b)*(e,e') = (a,b)
So, (a,b)*(c,d) = (ac - bd, ad + bc)
(a,b)*(e,e') = (ae - be, ae' + be')
Since (a,b)*(e,e') = (a,b)
(ae - be, ae' + be') = (a, b)
So,
ae - be = a (1) and ae' + be' = b (2)e = a/(a - b) and e' = b/(a + b)
So, (e, e') = (a/(a - b), b/(a + b))
Also, for any binary operation * under a given set a*a⁻¹ = e where a⁻¹ = inverse of a.
Since (c,d) is the inverse of (a,b), we have that
(a,b)*(c,d) = (e, e')
So, (a,b)*(c,d) = (ac - bd, ad + bc)
= (a/(a - b), b/(a + b))
So,
ac - bd = a/(a - b) (3) and ad + bc = b/(a + b) (4)From (3), c = bd/a + 1/(a - b)
Substituting c into (4), we have
ad + bc = b/(a + b)
ad + b[bd/a + 1/(a - b)] = b/(a + b)
ad + b²d/a + b/(a - b) = b/(a + b)
ad + b²d/a = b/(a + b) - b/(a - b)]
(a + b²/a)d = b[1/(a + b) - 1/(a - b)]
[(a² + b²)/a]d = b[a - b - (a + b)]/(a - b)(a + b)
[(a² + b²)/a]d = b[a - b - a - b)]/(a - b)(a + b)
[(a² + b²)/a]d = b(-2b)/(a² - b²)
d = -2ab²/[(a² - b²)(a² + b²)]
d = -2ab²/(a⁴ - b⁴)
Substitutind d into c, we have
c = bd/a + 1/(a - b)
c = -2ab³/(a⁴ - b⁴)a + 1/(a - b)
c = -2b³/(a⁴ - b⁴) + 1/(a - b)
So, the expressions for c and d in terms of a and b are
c = -2b³/[(a⁴ - b⁴) + 1/(a - b) and d = -2ab²/(a⁴ - b⁴)b. What is the inverse of (2,1)Since (c,d) is the inverse of (a,b) is
c = -2b³/(a⁴ - b⁴)+ 1/(a - b) and d = -2ab²/(a⁴ - b⁴)So, with a = 2 and b = 1, c = -2b³/(a⁴ - b⁴) + 1/(a - b)
= -2(1)³/(2⁴ - 1⁴) + 1/(2 - 1)
= -2/(16 - 1) + 1/1
= -2/15 + 1
= (-2 + 15)/15
= 13/15
So, with a = 2 and b = 1, d = -2ab²/(a⁴ - b⁴)
= -2(2)(1)²/(2⁴ - 1⁴)
= -4(1)/(16 - 1)
= -4/15
So, the inverse of (2,1) is (13/15, -4/15)
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When mutex lock is implemented as a binary semaphore, what should its value be initialized to be?
a) 0
b) 1
c) -1
d) none of the above
The midpoint of EF is (-6, 1). One endpoint is E(-9, 7). Find the coordinates of endpoint F.
Answer:
Step-by-step explanation:
here is an solution :
Answer:
Its (-3,-5)
Step-by-step explanation:
Hope This Helps:))
M angle JKL=
Help me please! Asap thanks so much :)
The measure of the angle <JKL is 56 degrees
Tangent secant theorem of a circleThe theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Given the following parameters
m<IL = 112 degrees
Since the measure of the vertex is half the measure of its intercepted arc, hence;
<JKl = 1/2(m<IL)
Substitute the given parameters into the formula to have;
<JKl = 1/2(112)
<JKL = 56 degrees
Hence the measure of the angle <JKL is 56 degrees
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What are the steps to my answer?
Answer:
f[g(x)] = 4x²+6x-3Step-by-step explanation:
f[g(x)]=(2x)²+3(2x)-3...substitute the values of g(x) into the function f(x)f[g(x)]=4x²+6x-3...simplifiedPlease help! What is the equation for g(x)? According to the graph ?
Answer: [tex]g(x)=2^{x-3}[/tex]
Step-by-step explanation:
The graph of y=g(x) is the graph of y=f(x) shifted 3 units right.
If there are 3 line, the 1st and 2nd line are parallel to each other, the third line are parallel to the 2nd line, does that mean all 3 line are parallel to each other?
Complete the equation of the line through (-10,-7)(−10,−7)left parenthesis, minus, 10, comma, minus, 7, right parenthesis and (-5,-9)(−5,−9)left parenthesis, minus, 5, comma, minus, 9, right parenthesis. Use exact numbers. y=y=
[tex](\stackrel{x_1}{-10}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-9}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{-5}-\underset{x_1}{(-10)}}} \implies \cfrac{-9 +7}{-5 +10} \implies \cfrac{ -2 }{ 5 }\implies -\cfrac{2}{5}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-\cfrac{2}{5}}(x-\stackrel{x_1}{(-10)}) \\\\\\ y+7=-\cfrac{2}{5}(x+10)\implies y+7=-\cfrac{2}{5}x-4\implies y=-\cfrac{2}{5}x-11[/tex]
• Evaluate the expression 16n+4 when n=5
Answer:
84
Step-by-step explanation:
substitute n = 5 into the expression
16n + 4
= 16(5) + 4
= 80 + 4
= 84
Answer:
The expression will have the value of 84
Step-by-step explanation:
Greetings ![tex]16n + 4[/tex]
given expression
Thus, plug n=5
[tex]16(5) + 4 \\ 80 + 4 = 84[/tex]
Finally, we get the value 84
Larisa earns $7 per hour.she worked 40 hours at the regular rate, 3 hours at time and half, and 6 hours at double time.
Answer:
$6.07/hr. if I understand the question properly. See below.
Step-by-step explanation:
I don't see the question, but will assume we want to find Larisa's base pay. The $7/hr given is the average for the work sequence noted in the problem. If this is incorrect, ignore the answer.
==================================
Let x be Larisa's base salary. We are told, I think, that in one stretch of time Larisa earned an average of $7/hour. That was composed of:
Hours Rate($/hr)
40 x
3 1.5x
6 2x
49
Her total income over this period would be:
40x +3(1.5x) + 6(2x) [The hours worked times the pay rate for each period]
Her average income per hour would be:
(40x +3(1.5x) + 6(2x))/49
which we are told is $7/hr.
(40x +3(1.5x) + 6(2x))/49 = 7
40x + 4.5x + 12x = 343
56.5x = 343
x = $6.07/hr
Find the first four nonzero terms in a power series expansion about x0 for a general solution to the given differential equation. 0
Answer:
Start with equation,
y''(x) = f(x) = 6y/(10x-x²) about point x₀ = 5
Then,
y(x) = a₀ + a₁(x-5) + a₂(x-5)²+ a₃(x-5)³ + a₄(x-5)⁴...….
by inspection,
y(5) = a₀ and y'(5) = a₁
then,
y''(5) = 6a₀/(50-25) = 6a₀/25
y'''(x) = 6y'/(10x-x2) - 6y(10-2x)/(10x-x2)2
then,
y'''(5) = 6a₁/25 - 0 = 6a₁/25
y''''(x) = 6y''/(10x-x2) -12y'(10-2x)/(10x-x2)² + 12y/(10x-x2)² + 12y(10-2x)2/(10x-x2)³
then,
y''''(5) = (6/25)(6a₀/25) + 0 + 12a₀/625 + 0
= 48a₀/625
So,
y(x) = f(x) = f(5) + f'(5)(x-5) + f''(5)(x-5)2/2! + f'''(5)(x-5)3/3! + f''''(5)(x-5)4/4! …
or
y(x) = f(x) = a₀ + a₁(x-5) + (6ao/25)(x-5)2/2! + (6a1/25)(x-5)3/3! + (48a₀/625)(x-5)4/4!...
or
y(x) = f(x) = a₀ + a₁(x-5) + (3a₀/25)(x-5)²+ (a₁/25)(x-5)³+ (2a₀/625)(x-5)⁴.....
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I need some help guys qwq
The surface area of the triangular prism is of 162 cm².
What is the surface area of a prism?The surface area of a prism is given by the sum of all the areas of the prism.
This prism is composed by:
One rectangle of dimensions 10 cm and 7 + 6 + 4 = 15 cm.Two right triangles, of sides 6 cm and 4 cm.For a rectangle, the area is the multiplication of the dimensions, hence:
A1 = 10 x 15 = 150 cm².
For a right triangle, the area is half the multiplication of the sides, hence:
A2 = 0.5 x 6 x 4 = 12 cm².
Hence the surface area is:
A = A1 + A2 = 150 cm² + 12 cm² = 162 cm².
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5. (02.02 MC)
Use the graph to fill in the blank with the correct number. (1 point)
f(1) =
To the nearest whole number, what is the surface area of the right triangular prism?
Answer: 797.4 m²
Step-by-step explanation:
The surface area is just the total of the areas of each face of of a solid. In this solid, we have 2 triangles and 3 rectangles.
TrianglesWe know that the two triangles of this solid are congruent, so they will have the same area. Since the area of a triangle is [tex]\frac{1}{2}bh[/tex], two triangles would have an area of [tex]bh[/tex]. Hence, the total area is
[tex]A=9 * 15\\A=135[/tex]
RectanglesThe area of a rectangle is lw, where l is the length and w is the width. Let's find the total area of all of them.
[tex]A=9*16+15*16+17.4*16[/tex]
All of the areas are a product of some number and 16. This makes sense as the length of this prism is 16. We can un-distribute this 16 to make the calculation easier.
[tex]A=16(9+15+17.4)\\A=16(41.4)\\A=662.4[/tex]
TotalWe can add both totals to get the total surface area of the solid.
[tex]135+662.4\\=797.4[/tex]
The surface area of this right triangular prism is 797.4 m².
I need help with this
Answer:
? = 4 units
Step-by-step explanation:
'2' is to ' 7+2 ' as ? is to '14 + ? '
2/ 9 = ? / (14 + ?) cross mutiply
28 + 2? = 9?
28 = 7?
? = 4
In the circle below, O is the center, MP is a diameter, and m angle M O L equals 45 degrees. Find the measure of L N M.
Check the picture below.
Graph y=8.5x PLS VERY URGENT ANSWER QUICKLY!!!!!!!!!!!!!!!!
The slope of the line is 8.5 and the y-intercept is at the origin as shown in the graph below.
Graph of a linear functionA linear function is a function that has a leading degree of 1. The standard equation for a linear function is expressed as:
y = mx + b
where
m is the slope which is equal to the rate of change of y coordinate to x-coordinates.
b is the y-intercept
Given the following equation
y=8.5x
The slope of the line is 8.5 and the y-intercept is at the origin as shown in the graph below.
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A certain quadratic function has the factors
(2x - 5)
and
(3x + 4)
. What are the zeros of the function?
a. x=-2 and x=-3
b. x=2/5 and x= 4/3
c. x=5 and x=-4
d. x=5/2 and x = -4/3
Answer:
D
Step-by-step explanation:
If those two functions are the factors of a quadratic, then each of them can be equated to 0 to find the roots. Sometimes the roots are called the zeros.
2x - 5 = 0 Add 5 to both sides
2x - 5 + 5 = 0 + 5 Combine
2x = 5 Divide both sides by 2
2x/2 = 5/2
x = 5/2
You don't really have to find the other factor's 0 point. There is only 1 option that makes x = 5/2. On a test, it is important to take short cuts and save time. I'll find the other root anyway because this is not a test.
3x + 4 = 0 Subtract 4 from both sides
3x + 4-4 = 0 - 4 Combine
3x = - 4 Divide both sides by 3
3x/3 = - 4/3
x = - 4/3
The list 76, 56, 93, 24, 45, 88, 13, 7, 37 is sorted using bucket sort with 4 buckets. which bucket will contain 45?
The bucket number 2 will contain 45 after sorting the data.
According to the statement
we have given that the a data list which is sorted into 4 buckets then we have to find he in which the umber 45 is sorted.
So, For this purpose,
The given data list is:
76, 56, 93, 24, 45, 88, 13, 7, 37
And the data is sorted into the buckets so,it is sorted in 4 buckets. and the data contain numbers from 0 to 100.
So, let the sorting.
We know that the 100 numbers are sorted in 4 buckets then it means each bucket contain 25 numbers.
So, let us consider a
BUCKET 1 : 0 to 25
it contains the data number 7, 13,24.
Now,
BUCKET 2 : 25 to 50
it contains the data number 37,45.
Now,
BUCKET 3 : 50 to 75
it contains the data number 56.
Now,
BUCKET 4 : 75 to 100
it contains the data number 76, 88, 93.
From sorting the 45 number sort in the bucket 2.
So,The bucket number 2 will contain 45 after sorting the data.
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Ron works at the local bookstore for an hour every day. He earns $5 daily from this job. If he adds this amount to his daily allowance, he has $70 at the end of each week. The amount of money Ron receives each week is represented by the equation 7(x + 5) = 70, where x is the amount of Ron's daily allowance. Plug the numbers from the set {5, 10, 15, 20} into the equation to find x, the amount of Ron's daily allowance.
trevor takes up a test at school and completes it in an hour. the test has two sections. if he takes 35 minutes to complete the first section, how much time does he have left to complete the second section? which equation would you use to answer this problem?
a) x + 2 = 35
b) 2x + 30 = 35
c) 2x + 30 + 60
d) x + 35 = 60
Answer:
I would use equation d
Step-by-step explanation:
because need to find out X which is the second section so you would do 60 subtract 35 which gives 25 so X would be 25 .
I hope this helped . if you need any more help pls ask :)
pls give brainliest if you like my answer :)
a green grocer had 623 oranges. He packed them in cartons, which could only take 11 oranges or 12 oranges respectively, and no oranges remained. How many cartons had 12 oranges only?
Answer:51 crates could have 12 oranges and one crate could hold 11 oranges.
Step-by-step explanation: 623 / 12 is 51.9... 51 x 12 is 612. 612 + 11 is 623 math checks out.
What is the equation of the line that passes through the point (-6,8) and has a slope of -5/3?
Answer:
y = -5/3 - 8
Step-by-step explanation:
We want to write this in the form y = mx + b. We need to find the m (slope) and the b (y-intercept) , Whew, they already gave us the slope, so we are have way there. I will plug in the x and y that we are given from the point (-6, 8) to solve for b.
y = mx + b
8 = -5/3(-6) + b Multiply the fraction by -6
8 = 30/3 + b I can make 6 a fraction by writing it 6/1 and then just multiply straight across. A negative times a negative is a positive.
8 = 10 + b 30/3 is equal to 10. Now subtract 10 from both sides to get b
-8 = b
I can now write the equations since I now know m and b.
y = -5/3 + (-8) which is the same as y = -5/3 - 8. Adding a negative is the same as subtracting a positive.