A political researcher takes a survey of 300 randomly selected registered voters in atlanta, and each person was asked who they plan on voting for in the 2020 mayoral election. 101 said they plan on voting for candidate a, 184 said they plan on voting for candidate b, and 15 were unsure or plan to vote for another candidate. In question 8, the political researcher estimated p, the population proportion of all registered voters in atlanta who plan to vote for candidate a, with a 95% confidence interval. The researcher now wants to estimate p with a margin of error of 3%. What is the minimum sample size needed?.

Answer:

Let x represent the number of adult tickets ⇒24-x would be the number of child tickets

$5.50x + $2.00(24-x) = $83

$3.50x = $35

x = 35/3.5 = 10 adult tickets and 14 child tickets    24 - 10 = 14

CHECKING our answer***

$55.00 + $28.00 = $83

Step-by-step explanation:

It is not possible to find two numbers with two decimal places that round to 312 when rounded to one decimal place and have a total of 62.4.

To solve this problem systematically, we can break it down into smaller steps:

Let's assume the two numbers are x and y, both with two decimal places.

We can represent them as x = a.b and y = c.d, where a, b, c, and d are digits.

Rounding x and y to one decimal place gives us the following equations:

Round(x) = a.b ≈ 312

Round(y) = c.d ≈ 312

Since the total of the numbers is 62.4, we have the equation:

x + y = a.b + c.d

= 62.4

From Step 2, we know that both a.b and c.d are approximately equal to 312.

So, we can write:

a.b ≈ 312

c.d ≈ 312

Since a.b and c.d are rounded to one decimal place, we can rewrite them as:

a.b = 312 + p

c.d = 312 + q

p and q are the decimal parts that were rounded.

Substituting the new representations of a.b and c.d into the equation from Step 3, we get:

(312 + p) + (312 + q) = 62.4

Simplifying the equation gives us:

624 + (p + q) = 62.4

Solving for (p + q), we have:

p + q = 62.4 - 624

= -561.6

Since p and q are decimal parts, they must be between 0 and 1. -561.6 is outside this range, which means there are no values for p and q that satisfy the given conditions.

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The perimeter of the triangle is 7 + 7/2✓3 units.

In a 30-60-90 triangle, the sides are in the ratio of 1:sqrt(3):2, where the hypotenuse is twice the length of the shorter leg.

Let's call the shorter leg x, then the longer leg would be x✓(3), and the hypotenuse would be 2x.

Given that the hypotenuse is 7 units, we can solve for x by dividing 7 by 2:

2x = 7

x = 7/2

So the shorter leg of the triangle is 7/2 units, and the longer leg is (7/2)✓(3) units.

Perimeter = x + ✓(3) + 2x

Perimeter = (7/2) + (7/2)✓(3) + 2(7/2)

Perimeter = 7/2 + 7/2✓(3) + 7

Perimeter = 7 + 7/2✓(3)

Therefore, the perimeter of the triangle is 7 + 7/2✓(3) units.

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The length of the hypotenuse of a 30-60-90 triangle is 7 units. Find the perimeter of the triangle.

Answer:

where is the question.  see the question never mind

Step-by-step explanation: irrational because it has a long decimal that doesn't repeat or terminate.

The number line that shows the solution of the inequality x>3 must have its arrow starting in 3 with an empty circle (since 3 must not be included), and the arrow must be pointing to the right, where the values are greater than 3.

It should look like this:

Answer:An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.

Step-by-step explanation:basically its more than 90 degrees

Answer:

An obtuse triangle is a triangle where one of the interior angles measures more than 90°

The following are the area of the sectors:

6a). π square inches

6b). 24π square centimeters

7a). 9 square centimeters

7b). 16.7 square inches

The area of a sector is calculated by multiplying the fraction of the angle for the sector divided by 360° and πr², where r is the radius.

For question 6:

a). (40/360) × π × 3 in × 3 in = π in²

b). (135/360) × π × 8 cm × 8 cm = 24π cm²

For question 7:

a). (90/360) × π × 6 cm × 6 cm = 9 cm²

b). (60/360) × π × 10 in × 10 in = 16.7π in²

Therefore, the following are the area of the sectors:

6a). π square inches

6b). 24π square centimeters

7a). 9 square centimeters

7b). 16.7 square inches

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Answer:

x=50

Step-by-step explanation:

65+65=130

180-130=50

Answer:

50 is the answer

Step-by-step explanation:

this is a isosceles triangle having 65 and 65

then 65 + 65 + x = 180 property of traingle

130 + x = 180

x = 180- 130 = 50

a. The hypothesis test is right-tailed.

b. The P-value is 0.2525.

c. Using a significance level of a = 0.01, we fail to reject the null hypothesis .

a) The hypothesis test is right-tailed because the alternative hypothesis is p > 0.4.

b) To find the P-value, we need to use a standard normal distribution table or a calculator. Since the test statistic is positive, we look for the area to the right of z = 0.67. Using a standard normal distribution table or a calculator, we find that the area to the right of z = 0.67 is 0.2525. This is the P-value.

c) Using a significance level of a = 0.01, we compare the P-value to the significance level. The P-value is greater than the significance level, so we fail to reject the null hypothesis . There is not enough evidence to support the claim that p > 0.4 at the 1% significance level.

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The given question is incomplete, the complete question is :

The test statistic of z = 0.67 is obtained when testing the claim that p>0.4. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.01, should we reject null hypothesis or should we fail to reject null hypothesis?

Answer:

Lin needs 3 cups of flour and 6 cups of sugar. Noah needs 6 cups of sugar and 4 cups of flour.

Step-by-step explanation:

I want you to figure out how to do.

The number of panels produced by plant B is 6000 panels.

Given that, Plant A produced 6000 panels. 2% of the panels from Plant A and 5% of the panels from Plant B were defective.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the number of panels produced by plant B be x.

Now,  2% of 6000 + 5% of x = 4% of (6000+x)

⇒ 120 + 0.05x = 0.04 (6000+x)

⇒ 120+ 0.05x = 240 + 0.04x

⇒ 0.01x=120

⇒ x=120/0.01

⇒ x=12,000 panels

Number of panels produced by plant B = 12000-6000 = 6000

Therefore, the number of panels produced by plant B is 6000 panels.

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Answer:

(5x)/3

Step-by-step explanation:

5 times a number is 5x.

Quotient means to divide, so the answer is (5x)/3.

Answer:

−16,848

Step-by-step explanation:

firstly, evalute whatever is in the parentheses. [3.5 minus 56 equals "-32.5" then the next [-3.4+515 equals "518.4"

then multiply the two numbers: "-32.5 × 518.4"

−16,848 is the answer.. its definitely a weird question.

Answer:

B. X⁴+2X²+2

Step-by-step explanation:

If f(x) = x²+1, we are to find ff(x)

F(f(x)) = f(x²+1)

to get f(x²+1), we will have to substitute x as x²+1 in the function f(x) as shown;

F(x²+1) = (x²+1)²+1

Expand the expression

f(x²+1) = (x²+1)(x²+1)+1

f(x²+1) = (x⁴+x²+x²+1)+1

f(x²+1) = x⁴+2x²+1+1

f(x²+1) = x⁴+2x²+2

Hence f(f(x)) = x⁴+2x²+2

Answer: a

Step-by-step explanation:

10/2 = 5

5-6=-1

Answer:

D= m∠AVB

Step-by-step explanation:

If the correlation between two variables is .496, 75.4%. much of the variance has not been accounted for.

What is variable?

In the context of statistics and mathematics, a variable is a characteristic or quantity that can vary or take different values.

The correlation coefficient, which ranges from -1 to 1, measures the strength and direction of the linear relationship between two variables. If the correlation between two variables is 0.496, it indicates a moderate positive correlation.

The coefficient of determination, also known as R-squared, represents the proportion of the variance in one variable that can be explained by the other variable. In this case, if the correlation is 0.496, then the coefficient of determination is \((0.496)^2 = 0.246.\)

Therefore, 24.6% of the variance has been accounted for by the correlation, and the remaining 75.4% of the variance has not been accounted for.

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Answer:

the weight of Sam pumpkin is 74 8/28 pounds

To find a positive number such that the sum of and is as small as possible, we need to use optimization. This problem requires optimization over a closed interval. The given problem is as follows, Let x be a positive number. Find a positive number such that the sum of and is as small as possible.

To find a positive number such that the sum of and is as small as possible, we need to use optimization. This problem requires optimization over a closed interval. The given problem is as follows, Let x be a positive number. Find a positive number such that the sum of and is as small as possible. So, we need to minimize the sum of and . Now, let's use calculus to find the minimum value of the sum.To find the minimum value, we have to find the derivative of the sum of and , i.e. f(x) with respect to x, which is given by f '(x) as shown below:

f '(x) = 1/x^2 - 1/(1-x)^2

We can see that this function is defined on the closed interval [0, 1]. The reason why we are using the closed interval is that x is a positive number, and both endpoints are included to ensure that we cover all positive numbers. Therefore, the problem requires optimization over a closed interval. This means that the minimum value exists and is achieved either at one of the endpoints of the interval or at a critical point in the interior of the interval.

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The value of h that satisfies the condition is h = 1 for orthogonal projection.

To find the vector v such that the angle between u = [2 1 2]T and v is 60 degrees and the orthogonal projection of v onto u has length 2, use vector arithmetic to compute the vector v can. In the equations [1 1 h] and [1 2 1]', when h = 1, the angle between them is 60 degrees.

To find a vector v with desired properties, we can use vector arithmetic. Denote the orthogonal projection of v onto u by proj_vu. The formula for the orthogonal projection of v onto u is \(proj_vu = (v u) / ||u||^2 * u\) where · is the inner product, ||u|| represents the size of vector u. Assuming the length of \(proj_vu\)is 2, then\(||proj_vu||\)= 2. Replacing proj_vu with the formula gives\(||(v u) / ||u||^2 * u|| = 2\)

To find the angle between u and v you can use the formula\(cos(theta)\)= \((u v) / (||u|| ||v||)\) . where theta represents the angle between u and v.

In the second equation [1 1 h] and [1 2 1]', if the dot product of two vectors is equal to their magnitude times the cosine of 60 degrees, then the angle between them is 60 degrees.

Therefore, the value of h that satisfies the condition is h = 1. 

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Answer: 630 rabbits

Step-by-step explanation: it shows that the population of rabbits grows by 70 each 4 years so we will have to add 70 to 560 which is 630 rabbits.

The population of rabbits in the year 2014 will be growing exponentially.

So, we can write a function

P = A · \(\alpha ^{x}\)

where,

A is the original rabbits

\(\alpha\) is the ratio of the increase

\(x\) is the time (the unit is year)

In 2004, the population of the rabbits was 490

∴ P = 490 · \(\alpha ^{x}\)

In 2008, the population increases to 560

∴ 560 = 490 · \(\alpha ^{2008-2004}\)

   560 = 490 · \(\alpha ^{4}\)

  \(\alpha ^{4\\\) = \(\frac{560}{490}\) = \(\frac{8}{7}\)

  \(\alpha\)   = \(\sqrt{\frac{2\sqrt{14} }{7} }\)

In 2014, x = 2014- 2004 = 10

P = 490 · \(\sqrt{\frac{2\sqrt{14}}{7} } ^{10}\)

  ≅ 684

Hence, the population of rabbits in the year 2014 will be approximately 684.

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Answer:

m = d - n + a

Step-by-step explanation:

Subtract n and add a on both sides to isolate m

Answer: its b

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Answer:

   -7/10

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( 4 - -3)/( -6 - 4)

     = ( 4+3)/( -10)

   -7/10

Answer:

yall smart

Step-by-step explanation:

The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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