A political candidate is told by his polling organization that a 90% confidence interval for the true proportion of voters who support his candidacy is 0.45 to 0.53. Which of the following claims is justified?
a. A political reporter claims that 90% of registered voters favor this candidate.
c. A political reporter claims that at least 53% of registered voters favor this candidate.
d. A political reporter claims that the majority of registered voters favor this candidate.
e. A political reporter claims that at least 45% of registered voters favor this candidate.

Answer:

1.33×10^-6

Step-by-step explanation:

5.32 x 10^-7= 5.32×10^(-5-2)= 5.32×10^-2×10^(-5)

=0.0532×10^-5

(0.0532×10^-5) (2.5 x 10^-5)

0.0532×2.5 × 10^-5

0.133×10^-5= 1.33×10^-1 ×10^-5

1.33×10^-6

0.02128 is the standard form of 5.32 x 10⁻⁷/2.5 x 10⁻⁵

A number system is defined as a system of writing to express numbers.

The given fraction is 5.32 x 10⁻⁷/2.5 x 10⁻⁵

Simplify using exponent rule with same base

\(a^{m} a^{n} =a^{m+n}\)

Now 5.32/2.5×10⁻⁷×10⁵

5.32/2.5×10⁻⁷⁺⁵

Calculate the sum or difference

5.32/2.5×10⁻²

Convert fraction into decimal

2.128×10⁻²

Express in standard form 0.02128

Hence, 0.02128 is the standard form of 5.32 x 10⁻⁷/2.5 x 10⁻⁵

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Answer:

0.0846153846 when divided

Answer:

806 in^2

Step-by-step explanation:

we can start by breaking it up into two 11x13 sides and four 13x10 sides.

A=l*h

The first group of just two sides is 13*11 = 143, and for both sides 286 in^2

Then for the second group, 13*10 = 130, and for four sides, 520 in^2

We can add these values together for the total surface area, and we'll get 806 in^2 !

Answer:600

Step-by-step explanation:

i think

Answer:

its the one with y

Step-by-step explanation:

Answer: 7 units

Step-by-step explanation:

tan^-1(4/3) =53 degrees

tanx  = opposite / adjacent

10.5 x tan(53) = 2b

14 = 2b

7 = b

The value of 'b' cannot be determined from the given information 'tanx = 4/3' as there is no relevant context or connection mentioned between them.

In the question provided, the trigonometric function tanx = 4/3. However, the variable b has not been defined or mentioned in the context of this particular question, hence we are unable to find or determine the value of b based on the given information. It's likely there's some missing information or context that needs to be provided in order to solve for b.

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I am sure that its 3.

Let's assign variables to the unknowns to help solve the problem. Let's denote:

Paul's earnings for painting rooms as P

Paul's earnings for cutting grass as G

Megan's earnings for babysitting as M

Given information:

1. Paul earns twice as much each week painting rooms than cutting grass:

  P = 2G

2. Paul's total weekly wages are $150 more than Megan's earnings:

  P + G = M + $150

3. Megan earns one quarter as much as Paul does painting rooms:

  M = (1/4)P

Now we can solve the system of equations to find the value of P (Paul's earnings for painting rooms).

Substituting equation 2 and equation 3 into equation 1:

2G + G = (1/4)P + $150

3G = (1/4)P + $150

Substituting equation 2 into equation 3:

M = (1/4)(2G)

M = (1/2)G

Substituting the value of M in terms of G into equation 1:

3G = 4M + $150

Substituting the value of M in terms of G into equation 3:

(1/2)G = (1/4)P

Simplifying the equations:

3G = 4M + $150   (Equation A)

(1/2)G = (1/4)P   (Equation B)

Now, we can substitute the value of M in terms of G into equation A:

3G = 4[(1/2)G] + $150

3G = 2G + $150

Simplifying equation A:

G = $150

Substituting the value of G back into equation B:

(1/2)($150) = (1/4)P

$75 = (1/4)P

Multiplying both sides of the equation by 4 to solve for P:

4($75) = P

$300 = P

Therefore, Paul earns $300 for painting rooms.

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Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

Answer:

I uploaded the answer to^{}

a file hosting. Here's link:" i don't believe them but try to see it

Answer:

SS

Step-by-step explanation:

Ju

The given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants.

Mutually exclusive and exhaustive variables: A variable is mutually exclusive and exhaustive if it includes all possible outcomes and each outcome can only be assigned to one variable category.a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday - Mutually exclusive and exhaustiveb. Days: Weekday and Weekend - Mutually exclusive and exhaustive c. Letters: Vowels and Consonants - Mutually exclusive and exhaustive. Letters: Alphabets and Consonants - Not mutually exclusive and exhaustiveThe given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants. Hence, the options a and c are correct.

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Answer:

X intercept = (2,0)

Y intercept = (0,-3)

Step-by-step explanation:

To find x intercept make y into 0

3(x) - 2(0) =6

3x = 6

x = 2

X intercept = (2,0)

Y intercept do the same

Y intercept make x into 0

3(0) - 2(y) =6

-2y = 6

y = -3

Y intercept = (0,-3)

Answer:

x -intercept is at (2, 0).

y -intercept is at (0, -3).

Step-by-step explanation:

x intercept is found when y = 0:

3x - 2(0) = 6

3x = 6

x = 2.

x intercept is found when x = 0:

3(0) - 2y = 6

-2y = 6

y = -3.

The degrees of freedom for a chi-square goodness-of-fit test are calculated as the number of categories minus 1.

Suppose we wish to determine if an ordinary-looking six-sided die is fair, or balanced, meaning that each face has a probability of 1/6

of arrival on top when the die is tossed. We could toss the die dozens, maybe hundreds, of times and compare the actual number of times each face arrival on top to the scheduled number, which would be 1/6

of the total number of tosses. We would not expect each number to be exactly 1/6 of the total, but it should be close.

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Answer:

x= -49.5

y= -13.5

Step-by-step explanation:

-x-y= -63

-x+y=-36

y=-13.5

x=-49.5

hope this helps!

Answer: JL = 25

Step-by-step explanation: Segment JM is the total measure of the line segment and it equals 45.

Suppose first segment JK measures d.

The total ratio is the sum of each part

d + 4d + 4d = 9d

The sum of each part corresponds to the total measure of the line segment. Then:

9d = 45

d = 5

Segment JL is

JL = d + 4d

JL = 5d

JL = 5.5

JL = 25

Segment JL measures 25 units.

Answer:

Congressman Smith will defeat Challenger Jones

Step-by-step explanation:

Since the poll has a +/- 3% margin of error, the minimum and maximum possible percentages for each candidate are:

(44% - 3%) ≤ Jones ≤ (44% + 3%)

41% ≤ Jones ≤ 47%

(54% - 3%) ≤ Smith ≤ (54% + 3%)

51% ≤ Smith ≤ 57%

This means that, even in the worst possible scenario for Congressman Smith, he would still beat Jones with 51% against 47% of the votes. The pollster can safely predict that Congressman Smith will defeat Challenger Jones .

YES! quite easily.

I hope you can see the two pairs of corresponding angles between the parallel lines. they'll be equal

and then there's a pair of vertically opposite angle at centre.

that means all pairs of corresponding angles are equal, thus, triangles are similar by AAA

Answer:

\(\Large \boxed{\mathrm{D}}\)

Step-by-step explanation:

The triangles can be proven by AA or Angle-Angle similarity.

\(\angle QUR \cong \angle TUS\)

The vertical angles are congruent.

\(\angle R \cong \angle S\)

The alternate interior angles are congruent.

The domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

Given function h(x)=\(10x^{2} -6x\).

We are required to find the domain of the given function.

Function is basically relationship between two or more variables that are expressed in equal to form. The values that we entered in the function are known as a part of domain and the values that we get from the function are known as a part of range of function.

The function is h(x)=\(10x^{2} -6x\).

We have not given any range of the function, so we donot know the limit under which the values of that  function lies. Because we donot know the limit so we can put any real number in the function. So the domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

Hence the domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

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Answer:

Liz is correct

Step-by-step explanation:

Given

See attachment for complete question

Required

Who is correct? Daniel or Liz

From the attached data, we have:

\(Time: 1\frac{3}{4},\ 2\frac{1}{2},\ 2,\ 2\frac{3}{4},\ 1,\ 1\frac{3}{4},\ 1\frac{1}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4},\ 2,\ 2\)

The total number of students is:

\(n = 12\)

The data that represents  \(2\frac{1}{2}\) or more is:

\(Time: 2\frac{1}{2},\ 2\frac{3}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4}\)

The frequency of this is 5

The frequency that represents \(2\frac{1}{2}\) or less will be 7

This means that less than half spend \(2\frac{1}{2}\) or more

and more than half spend \(2\frac{1}{2}\) or more

Hence, Daniel is incorrect. Liz is correct

I cant answer that, I need a picture to the question Step-by-step explanation:

Answer:

303.375 or 303 3/8

Step-by-step explanation:

First, we can split the polygon into three smaller shapes: a triangle, a big rectangle, and a small rectangle. We will call them A, B, and C.

A:

Length: 28.25 - (3 + 13) = 28.25 - 16 = 12.25 (12 1/4)

Height: 10 + 9 = 19

Area: (12.25 * 19) / 2 = 232.75 / 2 = 116.375 ft

B:

Length: 3 + 13 = 16

Width: 10

Area: 16 * 10 = 160 ft

C:

Length: 3

Width: 9

Area: 3 * 9 = 27 ft

Now we have to add all three digits:

116.375 + 160 + 27 = 303.375 or 303 3/8

-------------------------------------------------------------------------------------------------------------

Hope this helps :)

Sure, I can help with that. The problem is asking for the area of a polygon composed of two rectangles and a right triangle.

The area of a rectangle is given by the formula length * width, and the area of a right triangle is given by the formula 1/2 * base * height.

Let’s calculate the areas:

For the first rectangle with dimensions 9ft by 13ft, the area is 9 * 13 = 117 square feet.

For the second rectangle with dimensions 10ft by 8ft, the area is 10 * 8 = 80 square feet.

For the right triangle with dimensions 28ft by 4ft, the area is 1/2 * 28 * 4 = 56 square feet.

Adding these areas together gives the total area of the polygon:

117 + 80 + 56 = 253 square feet

So, the area of the polygon is 253 square feet.

Answer:

\(\frac{56}{15}\)

Step-by-step explanation:

1 1/3 + .75 + 0.4 + 1 1/4

can be converted to:

80/60 + 45/60 + 24/60 + 75/60

\(\frac{80 + 45 + 24 + 75}{60}\) = \(\frac{224}{60}\)

\(\frac{224}{60}\) = \(\frac{56}{15}\)

The solution to the expression 4+(−634) is -630

From the question, we have the following parameters that can be used in our computation:

4+(−634)

Rewrite the expression properly

So, we have the following representation

4 + (−634)

Remove the bracket in the above expression

This gives

4 + (−634) = 4 - 634

Evaluate the difference

4 + (−634) = -630

Hence, the solution is -630

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Answer:

X= -4/3

Step-by-step explanation:

An exponential function is a function that has the form f(x) = b^x, where b is the base of the exponential function, and x is the exponent.

The base is a positive real number that is not equal to one. An exponential function is a continuous function that is always increasing when the base is greater than one, and always decreasing when the base is between zero and one. The equation for an exponential function with base b is:f(x) = b^xThis equation is the definition of an exponential function with base b.

It describes the relationship between the input variable x and the output variable f(x). When x is positive, the function increases exponentially as b is raised to higher powers.

When x is negative, the function decreases exponentially as b is raised to negative powers.  

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The calculated measure of the angle CTZ is 38 degrees

From the question, we have the following parameters that can be used in our computation:

This means that

YTA + BTC = 90

So, we have

4y + 6 + 7y - 4 = 90

So, we have

11y = 88

Divide

y = 8

Next, we have

CTZ = 90 - BTC

So, we have

CTZ = 90 - (7y – 4)

This gives

CTZ = 90 - (7 * 8 – 4)

Evaluate

CTZ = 38

Hence, the measure of CTZ is 38 degrees

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The advantage of the third-person point of view used in the excerpt from "Tha Lady, or the Tiger" is that the reader discovers the king's failings and shortcomings.

It is a short story written by Frank R. Stockton in 1882. The story takes place in a place that is ruled by a king who has some progressive ideas and others that inflict pain and suffering on people.

The plot develops from the king's innovations of using a public trial for crimes decided by chance, and it was consolidated as an expression of the English language to highlight an unsolved problem.

So the correct alternative is:

The passage to which the question refers is as follows:

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Answer:

13.95 units

Step-by-step explanation:

\( \sin \: 35 \degree = \frac{8}{x} \\ \\ \therefore \: x \: = \frac{8}{\sin \: 35 \degree} \\ \\ \therefore \: x \: = 13.9475744 \\ \\ \therefore \: x \: = 13.95 \: units\)

Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)