Select the correct answer. the data manager for a state political party gathered data to determine how many citizens would support the party’s senate candidate. he polled citizens in 30 similarly sized senate districts and found a sample mean of 70,438 citizens. statewide data shows that the population standard deviation is 645.3. what is the approximate 90% confidence interval for this situation? a. 70,134 and 70,742 b. 70,207 and 70,669 c. 70,403 and 70,473 d. 70,244 and 70,632

Answers

Answer 1

Answer:

D. 70,244 and 70,632

Step-by-step explanation:

Got it right on PLATO/EDMENTUM

Answer 2

70,244 and 70,632 is the approximate 90% confidence interval for this situation.

A confidence interval, in statistics, refers to the probability that a population parameter will fall between a set of values for a certain proportion of times.

A confidence interval displays the probability that a parameter will fall between a pair of values around the mean.Confidence intervals measure the degree of uncertainty or certainty in a sampling method.They are most often constructed using confidence levels of 95% or 99%.

Confidence intervals measure the degree of uncertainty or certainty in a sampling method. They can take any number of probability limits, with the most common being a 95% or 99% confidence level. Confidence intervals are conducted using statistical methods.

Statisticians use confidence intervals to measure uncertainty in a sample variable. For example, a researcher selects different samples randomly from the same population and computes a confidence interval for each sample to see how it may represent the true value of the population variable. The resulting datasets are all different; some intervals include the true population parameter and others do not.

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Related Questions

Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities. 48, 50, 54, 56, 63, 63, 64, 68, 74, 74, 79, 80 Notice that the temperatures are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary
Minimum:
Lower quartile:
Median:
Upper quartile:
Maximum:
Interquartile range:

Answers

The five number summary and interquartile range for the data-set is given by:

Minimum: 48Lower quartile: 54.Median: 63.5.Upper quartile: 74Maximum: 80.Interquartile range: 20

What are the median and the quartiles of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.

In this problem, we have that:

The minimum value is the smallest value, of 48.The maximum value is the smallest value, of 80.The data-set has even cardinality, hence the median is the mean of the middle elements, which are 63 and 64, hence the median is of 63.5.The first quartile is the median of the five elements of the first half, hence it is of 54.The third quartile is the median of the five elements of the second half, hence it is of 74.The IQR is the difference between the quartiles, hence 74 - 54 = 20.

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What is the scale factor of the dilation shown ?

Answers

Answer:  Choice B.   2/3

Work Shown:

k = scale factor

k = (A'B')/(AB)

k = 8/12

k = (4*2)/(4*3)

k = 2/3

Triangle A'B'C' (image) has side lengths that are 2/3 as long compared to the side lengths of triangle ABC (preimage).

Geometry: complete this proof, ASAP!!!

Answers

Answer:

1. Given

2. Triangle Interior Angle Sum Theorem

3. Substitution Property of Equality

4. Subtraction Property

5. Definition of Complementary Angles

Use an appropriate half-angle formula to find the exact value of the expression. cos(22. 5°)

Answers

The value of given trigonometric value cos(22. 5°) is 0.387.

According to the statement

we have given that the trigonometric value and we have to find the exact value of that given value with the help of the half angle formula.

So, For this purpose, we know that the

The half angle formulas are used to find the exact values of the trigonometric ratios of the angles like 22.5°.

So,

The given value is :

cos(22. 5°)

Then the value of cos half angle formula is

[tex]cos (theta/2) = +- sqrt((1-cos theta) / 2)[/tex]

then

The value of θ/2 is 22.5 degree.

And θ is 22.5*2

θ = 45 degree

and cos 45 degree is 1/squareroot 2

And by this the value of given value become is

[tex]cos 22.5 = +\sqrt{((\sqrt{2} -1)/(2 \sqrt{2} )) } = + 0.3827[/tex]

So, The value of given trigonometric value cos(22. 5°) is 0.387.

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Olivia Sells 1/8 ton of copper to recycle♻️. The recycler pays $4 per pound. How much money in dollars, does the recycler pays Olivia for her copper?

Answers

The total amount the recycler pays Olivia is $1000.

What is the total amount Olivia is paid?

The weight of the copper is expressed as a fraction A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.

There is a need to convert tons to pounds:

1 ton = 2000 pounds

1/8 x 2000 = 250 pounds

The total amount that the recycler pays can be determined by multiplying the total pounds by cost per pound.

Total cost = cost per pound x total pound

250 x $4 = $1000

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Three hens lay 3 eggs any 3 days. in how many days will 3n hens lay at this rate 9nk eggs

Answers

Answer: is 48 eggs .

Step-by-step explanation:

3 hens gives 3 eggs in 3 days

Therefore , 1 gives 1 egg in 3 days

So

3days = 1egg

After that 12 days\/3 times = 4 eggs (in 12 times )

So 1 hen offers 4 eggs in 12 days after that

12 hens x 4 eggs = 48 eggs (in 12 days by 12 hens)

Hurry show your work

Answers

Answer: [tex]\huge\boxed{\boxed{15}}[/tex]

Step-by-step explanation:

Given expression

[tex]\large\boxed{\frac{12[30 - (9+4^2)]}{|10|-|-6| } }[/tex]

Simplify the exponents

[tex]\large\boxed{=\frac{12[30 - (9+16)]}{|10|-|-6| } }[/tex]

Simplify values in the parenthesis

[tex]\large\boxed{=\frac{12[30 - 25]}{|10|-|-6| } }[/tex]

[tex]\large\boxed{=\frac{12[5]}{|10|-|-6| } }[/tex]

Simplify absolute values (all positive)

[tex]\large\boxed{=\frac{12[5]}{10-6 } }[/tex]

[tex]\large\boxed{=\frac{12[5]}{4 } }[/tex]

Simplify by division

[tex]\large\boxed{=3~[5]}[/tex]

Simplify by multiplication

[tex]\huge\boxed{\boxed{=15}}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

A tire on sal's car makes 13 revolutions per second while traveling down the freeway. sal's tires are 2 ft in diameter, and there are 5,280 feet in 1 mile. how far does sal drive in 1 hour? round the answer to the nearest mile. a. 28 miles b. 56 miles c. 60 miles d. 111 miles

Answers

Compute the speed of the car:

[tex]\dfrac{2\pi\,\rm ft}{1\,\rm rev} \cdot \dfrac{13\,\rm rev}{1\,\rm s} \cdot \dfrac{1\,\rm mi}{5280\,\rm ft} \cdot \dfrac{3600\,\rm s}{1\,\rm h} = \dfrac{195\pi}{11} \dfrac{\rm mi}{\rm h} \approx 55.6919 \dfrac{\rm mi}{\rm h}[/tex]

So after 1 hour, Sal will have driven about 56 mi.

The vertices of an isosceles triangle are A(3, 6), B(7, 2), and C4, 3).
What is the equation of the triangle's line of symmetry?

Answers

Answer:

[tex]y=x-1[/tex]

Step-by-step explanation:

The line of symmetry of an isosceles triangle is perpendicular to its base.

Given vertices of the isosceles triangle:

A = (3, 6)B = (7, 2)C = (4, 3)

By sketching the triangle with the given points, we can see that AB is its base.  (See attached graph).

To find the equation for the line of symmetry, first find the slope of the line AB.  To do this, use the coordinates of points A and B and the slope formula.

Define the points:

[tex]\textsf{Let }(x_1,y_1)=(7, 2)[/tex][tex]\textsf{Let }(x_2,y_2)=(3, 6)[/tex]

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{6-2}{3-7}=-1[/tex]

As the line of symmetry is perpendicular to line AB, its slope is the negative reciprocal of the slope of line AB.

Therefore, the slope of the line of symmetry = 1.

The line of symmetry will pass through point C (4, 3).

Therefore, substitute the found slope and the coordinates of point C into the point-slope formula:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-3=1(x-4)[/tex]

[tex]\implies y-3=x-4[/tex]

[tex]\implies y=x-1[/tex]

Therefore, the equation of the given isosceles triangle's axis of symmetry is:

[tex]y = x - 1[/tex]

If we graph the points

then we will get AC=CB

That means C is the point from where the axis of symmetry passes

Foot of perpendicular is midpoint of AB

Midpoint of AB

((3+7)/2,(6+2)/2)(10/2,8/2)(5,4)

Find equation of C and foot of perpendicular

Slope

m=(4-3)/(5-4)=1

Equation

y-3=1(x-4)y-3=x-4y=x-1

What is the equation of the vertical asymptote of g(x)=4log2(x−2) 5 ? enter your answer in the box.

Answers

The equation of the vertical asymptote of the function [tex]g(x)=4log_{2} (x-2)+5[/tex] is x=2.

What is vertical asymptote of a function?

Vertical asymptotes are vertical lines that represent the zeros of a rational function's denominator. Asymptotes can also occur in other situations, such as logarithms. It occurs at the x-value that is outside the domain of the function, therefore the graph can never cross it.

How to find vertical asymptotes from graph?

There may be a vertical asymptote along the vertical line if a portion of the graph is about to turn vertical. At the point of x along which you discovered the vertical asymptote, the function's value changes to either ∞ or -∞. A vertical asymptote, however, must never touch the graph.

Graph the function [tex]g(x)=4log_{2} (x-2)+5[/tex]

(x,y)= (3,5), (4,9), (6,13)

From graph we can see that the graph is turning to be vertical from x=2. So, the equation of vertical asymptote of the function is x=2.

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The complete question is:

“What is the equation of the vertical asymptote of [tex]g(x)=4log_{2} (x-2)+5[/tex]? enter your answer in the box.”

At a concert for the band Algal Rhythms, 75% of the tickets were sold at the full price of $30. The remaining 25% of tickets were sold at a discounted price of $10. What was the average selling price of a ticket at the Algal Rhythms concert? Express your answer in dollars, rounded to the nearest cent.

Answers

The average selling price of a ticket at the Algal Rhythms concert is $25

How to determine the average selling price of a ticket at the Algal Rhythms concert?

The given parameters are:

75% of the tickets were sold for $30.

The remaining 25% were sold for $10.

The average selling price of a ticket at the Algal Rhythms concert is calculated using

Average = Sum of (Price * Percentage)

So, we have

Average = 30 * 75% + 10 * 25%

Evaluate the expression

Average = 25

Hence, the average selling price of a ticket at the Algal Rhythms concert is $25

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A construction worker is pouring concrete stairs. The first step requires 1.7 cubic feet of concrete, and the first 4 steps require a total of 17 cubic feet. If the steps follow an arithmetic series, how much concrete is required for the first 12 steps

Answers

Based on the given parameters of a = 1.7 cubic feet and concrete for first 4 steps as 17 cubic feet, the concrete is required for the first 12 steps is 132.6 cubic feet

Arithmetic progression

First term, a = 1.7 cubic feetSum of first four terms = 17 cubic feet

Sn = n/2 {2a + (n - 1) d}

17 = 4/2{2×1.7 + (4 - 1)d}

17 = 2{3.4 + (3)d}

17 = 2(3.4 + 3d)

17 = 6.8 + 6d

17 - 6.8 = 6d

10.2 = 6d

d = 10.2/6

Common difference, d = 1.7

Concrete required for first 12 steps;

Sn = n/2 {2a + (n - 1) d}

= 12/2{2×1.7 + (12-1)1.7}

= 6{3.4 + (11) 1.7}

= 6(3.4 + 18.7)

= 6(22.1)

= 132.6

Concrete required for first 12 steps = 132.6 cubic feet

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Answer:

132.6 cubic feet

Step-by-step explanation:

Can someone help ???????​

Answers

Let’s say that x equals 2 and y equals 120
So if you divide 2 by 120 it will be 60
So x/y = 60
x equals 2 so that means z equals 2
Then divide 2 by 2 and you will get one
So add 60 by one so you get 61
Answer: 61

What is the image point of (-1, -8) after
the transformation ry=-x T4,-5?

Answers

Answer:

sheu7euw73u3hsusuuwueudhdhdhsjsjwiwuwuehehdggdhdue

Step-by-step explanation:

hzhsusududjdndjdhehhshshhdhdhdhdhdhdhdhdhbhdhdhhdhdhdudxbdhdhdhdhhshdhyehsuehduwhgduwhdydh

Jay received a holiday bonus in the amount of 66⅔% of his daily salary. Jay earns $300 each day. How much was his holiday bonus?

Answers

Answer: $200

Step-by-step explanation:

       We will find 66⅔% of $300 to see how much Jay received. A percent divided by 100 becomes a decimal.

               66⅔% / 100 ≈ 0.667

               0.667 * $300 = $200

Find the radius of a circle with
circumference of 23.55 feet.
Use 3.14 for í.
Hint: C = 2πr
radius = [?] feet please explain your answer so I can understand how to do the rest

Answers

Answer:

r = 3.75

Step-by-step explanation:

C = 2(pi)r (write equation)

r = c / 2pi (rearrange for r)

r = 23.55 / 2(3.14) (plug in variables)

r = 23.55 / 6.28 (simplify)

r = 3.75 (solve)

A. 2
B. 1/3
C. 5
D. -3​

Answers

Answer: 2

Step-by-step explanation:

[tex]y=\frac{1}{3}x^2 +2x+5 \longrightarrow \frac{dy}{dx}=\frac{2}{3}x+2[/tex]

Setting this equal to 0 yields [tex]x=-3[/tex].

When [tex]x=-3[/tex], [tex]y=2[/tex]

Answer:

A. 2

Step-by-step explanation:

Given quadratic equation:

y = (1/3)x² + 2x + 5

Its leading coefficient is positive, so it has minimum value at vertex.

The x-coordinate of the vertex is:

x = -b/(2a)

Substitute the coefficients:

x = - 2/(2*1/3) = - 3

Find the value of y at vertex:

y = (1/3)(-3)² + 2(- 3) + 5 = 3 - 6 + 5 = 2

The matching answer choice is A.

Pls answer question 8

Answers

Step-by-step explanation:

step 1: multiply [tex]2^m[/tex] by [tex]3^n[/tex]

2 × 3 = 6

to times power you must add them

eg: [tex]x^3[/tex] × [tex]x^4[/tex]3+4=7=[tex]x^7[/tex]

[tex]2^m[/tex] × [tex]3^n[/tex] = [tex]6^{m+n}[/tex]

step 2: rearrange

[tex]6^{m+n}[/tex] = 108

can you do this step by yourself

A simple random sample of size 30 is drawn from a population of size 200. if the population mean is 57 and the population standard deviation is 6, what is the standard error of the mean?

Answers

Answer:

1.0954.

Step-by-step explanation:

Standard error  =  std dev / √n

=  6 / √30

= 1.0954.

Show why x - 3 is a factor of m(x) = x³ x² - 5x - 3.

Answers

Answer:

If  m(x) = x^3 - x^2 - 5x - 3 then x - 3 is a factor.

Step-by-step explanation:

By the Factor Theorem if  (x - a) is a factor of f(x) then f(a) = 0.

m(x) = x^3 - x^2 - 5x - 3

m(3) = 27 -  9  - 15 - 3 = 0

- so x - 3 is a factor

Helpppppp show your work

Answers

(-3²)-2(-3-4)-(-1³)

=9-2(-7)+1

=9+14+1

=24

Hope it helps!

Answer: look at the picture

Step-by-step explanation:

AB is tangent to ⊙C at point B and AD is tangent to ⊙C at point D.

Circle C is shown. Line segments C B and C D are radii. Line segments B A and D A are tangents to circle C. Angle B C D is 124 degrees.

What is m∠A?
34°
62°
56°
124°

Answers

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

As you can see in the quadrilateral ABCD, the two angles measure 90° (as they are tangents to circle c) and one of them is given 124°

we need to find the Angle BAD : let it be x ~

By angle sum property of Quadrilaterals,

[tex]\qquad \sf  \dashrightarrow \: 90 + 90 + 124 + x = 360[/tex]

[tex]\qquad \sf  \dashrightarrow \: x+30 4 = 360[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 360 - 304[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 56 \degree[/tex]

Hence, Angle m A = 56°

Answer: c

Step-by-step explanation:

Change
3
-
4
to a percent

Answers

Answer:

75%

Step-by-step explanation:

3/4 ie 75/100. .........edge

Divide 3 divided by 4 which would be 0.75. then multiply by 100 to get 75%

what is the modal letter in 'constitution'

Answers

t because it’s the only letter which appears 3 times (the most)

Find the area of the shaded region if the dimensions of the unshaded region are 18ft x 22ft . use 3.14 for π as necessary.

Answers

The area of the shaded region in the given image is: 1,111.84 ft²

How to Find the Area of a Shaded Region?

To find the area of the shaded region in the image given, find the areas of the unshaded region, then subtract it from the total area of the whole figure.

Area of the total figure = area of two semicircles + area of the rectangle.

Dimensions of the rectangle is given as, 18ft x 22ft.

Area of the rectangle = 18ft × 22ft = 396 ft²

The diameter of each of the semicircle = 7 + 7 + 18 = 32 ft

The radius of each of the semicircle = 1/2(32) = 16 ft

Area of the two semicircles = 2(1/2 × πr²) = 2(1/2 × 3.14 × 16²)

Area of the two semicircles = 803.84 ft²

Area of the rectangle = 32 × 22 = 704 ft²

The total area = 704 + 803.84

The total area = 1,507.84 ft²

The area of the shaded region = 1,507.84 - 396

The area of the shaded region = 1,111.84 ft²

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A parent made x cupcakes for each of the 109 students in the fourth grade. Which expression could be used to determine the total number of cupcakes made?

Answers

109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade. This can be obtained by forming the algebraic expression for the given conditions.

Find the required expression:Algebraic expression is made up of numbers, operations and variables.Algebraic expression is true for all values of x. For example, 2x, 5x + 9 etc.

Given that,

A parent made x cupcakes for each of the 109 students in the fourth grade.

The total number of students in the class = 109

The number of cupcakes one student gets = 1 × x = x

⇒ The number of cupcakes 109 student gets = 109 × x = 109x

Hence 109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade.

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1
14. The price of a sofa is Sx. A man buys the sofa on hire purchase according to the following terms:
a downpayment of 25 % and the remaining to be paid in monthly instalments over 30 months at a
simple interest rate of 12 % per annum. Given that his monthly instalment is $52, find the value of x.

Answers

Question The price of a sofa is Sx. A man buys the sofa on hire purchase according to the following terms:

a downpayment of 25 % and the remaining to be paid in monthly instalments over 30 months at a

simple interest rate of 12 % per annum. Given that his monthly instalment is $52, find the value of x.

The length of a rectangle is a inches. Its width is 5 inches less then the length. Find the area and perimeter of the rectangle

Answers

Answer:

Area = (a² -5a) in²

Perimeter = (4a -10) in

Step-by-step explanation:

Let the length of the rectangle be a.

Given that, its width is 5 in less than the length.

So,

length ⇒ a

width ⇒ (a - 5)

First, let's find the area of the rectangle.

Area = length × width

Area = a ( a - 5 )

Solve the brackets.

Area = (a² -5a) in²

Now, let us find the perimeter of the rectangle.

Perimeter = 2 ( l + w )

Perimeter = 2 ( a + a - 5 )

Perimeter = 2 ( 2a - 5 )

Perimeter = (4a -10) in


Evaluate 3(x-4) + 2x - x² for x = 3.
A. -6
B. 6
C. 2
D. -2

Answers

Answer:

A) -6

Step-by-step explanation:

its just by substituting 3 in place of x

3(3-4)+2(3)-(3)²

3(-1)+6-9

-3+(-3)= -6

pls gimme brailiest if it helped :)

Answer:

A. -6

Step-by-step explanation:

3(x-4) + 2x - x²

Evaluate

Let x =3

Substitute into the expression

3( 3-4) +2(3) - 3^2

Parentheses first

3( -1) +2(3) - 3^2

Exponents next

3( -1) +2(3) - 9

Multiply

-3 +6 -9

Add and subtract

-6

Question 1 of 10
Which expression is the simplest form of - (3x³ + x²) +2 (x³ - 4x²)?
OA.-2³-32²
OB.-2³-92²
O C. 5x³-7x2²
OD. 52³-82²
SUBMIT

Answers

Answer:

B.  -x³ - 9x².

Step-by-step explanation:

- (3x³ + x²) +2 (x³ - 4x²)

= -3x³  + 2x³  - x² - 8x²

= -x³ - 9x²

Answer: [tex]\Large\boxed{-x^3-9x^2}[/tex]

Hi there! By my calculation, I got the answer above. However, it doesn't fit any one of the answer choices. I am not sure if I am totally correct, but I have been double-checking my answers. Please let me know whether it's the answer choices mistaken or I am wrong so that I could modify my answer if necessary.

Step-by-step explanation:

Given expression

- (3x³ + x²) +2 (x³ - 4x²)

Expand parenthesis by the distributive property

= -3x³ - x² + 2x³ - 8x²

Combine like terms

= -3x³ + 2x³ - x² - 8x²

[tex]\Large\boxed{=-x^3-9x^2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

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