In a recent election 65% of eligible voters actually voted. A simple random sample of 1000 people is taken from the population of eligible voters. Which of the following represents the probability that less than 70% of the people sampled voted?

The total number of chimes made by the clock from 1 a.m. to midnight (including midnight) is 156 chimes.

Starting from 1 a.m. and ending at midnight (12 a.m.), we need to calculate the total number of chimes made by the clock.

We can break down the calculation into the following:

From 1 a.m. to 12 p.m. (noon):

The clock chimes once at 1 a.m., twice at 2 a.m., three times at 3 a.m., and so on until it chimes twelve times at 12 p.m. So, the total number of chimes in this period is:

1 + 2 + 3 + ... + 12 = 78

From 1 p.m. to 12 a.m. (midnight):

The clock chimes once at 1 p.m., twice at 2 p.m., three times at 3 p.m., and so on until it chimes twelve times at 12 a.m. (midnight). So, the total number of chimes in this period is:

1 + 2 + 3 + ... + 12 = 78

Therefore, the total number of chimes made by the clock from 1 a.m. to midnight (including midnight) is:

78 + 78 = 156 chimes.

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From 1 a.m. through midnight (including midnight), the clock will chime 156 times. This is because it will chime once at 1 a.m., twice at 2 a.m., three times at 3 a.m., and so on, until it chimes 12 times at noon. Then it will start over and chime once at 1 p.m., twice at 2 p.m., and so on, until it chimes 12 times at midnight. So, the total number of chimes will be 1 + 2 + 3 + ... + 11 + 12 + 1 + 2 + 3 + ... + 11 + 12 = 156.


1. From 1 a.m. to 11 a.m., the clock chimes 1 to 11 times respectively.
2. At 12 p.m. (noon), the clock chimes 12 times.
3. From 1 p.m. to 11 p.m., the clock chimes 1 to 11 times respectively (since it repeats the cycle).
4. At 12 a.m. (midnight), the clock chimes 12 times.

Now, let's add up the chimes for each hour:

1+2+3+4+5+6+7+8+9+10+11 (for the hours 1 a.m. to 11 a.m.) = 66 chimes
12 (for 12 p.m.) = 12 chimes
1+2+3+4+5+6+7+8+9+10+11 (for the hours 1 p.m. to 11 p.m.) = 66 chimes
12 (for 12 a.m.) = 12 chimes

Total chimes = 66 + 12 + 66 + 12 = 156 chimes

So, the clock chimes 156 times from 1 a.m. through midnight (including midnight).

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Answer

x = 71°

Explanation

The sum of angles in a triuangle is 180°

So, we can sum these three angles up and equate them to 180°

x - 5° + x + x - 28° = 180°

3x - 33° = 180°

3x = 180° + 33°

3x = 213°

Divide both sides by 3

(3x/3) = (213°/3)

x = 71°

Hope this Helps!!!

The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

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Answer:

220

Step-by-step explanation:

Answer:   \(\huge\boxed{x=log_2\frac{12\sqrt{2}+4}{17}}\)

Step-by-step explanation:                                                                       \(\displaystyle\ \bigg{2^x-3(2^{x+\frac{1}{2} }})+2^2=0 \qquad ; \ \ \boxed{t=2^x} \\\\t-3t\sqrt{2} +4=0 \\\\ t(1-3\sqrt{2} )=-4 \\\\ t=\frac{4}{3\sqrt{2} -1} \cdot \frac{3\sqrt{2}+1 }{3\sqrt{2}+1 } =\frac{12\sqrt{2}+4}{17} \\\\\\2^x=\frac{12\sqrt{2}+4}{17} \\\\x=log_2 \ \ \frac{12\sqrt{2}+4}{17}\)

To find the measure of an angle in a triangle that is isosceles, you can use the fact that the two equal sides of the triangle are congruent to each other.  The measure of each of these angles can be found by subtracting the measure of the third angle from 180 degrees.

Determine which two sides of the triangle are equal in length (these are called the "congruent sides").

Find the measure of the angle opposite one of the congruent sides. This angle is called the "base angle."

Subtract the measure of the base angle from 180 degrees. This will give you the measure of the other two angles in the triangle (since the three angles in any triangle must add up to 180 degrees).

For example, if the measure of the base angle is x degrees, then the measure of the other two angles would be (180-x) degrees.

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The measure of angles in an isosceles triangle can be found using the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.

To find the measure of an angle in a triangle isosceles, you can use the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.

Let's look at an example. Suppose you have an isosceles triangle and you know that two of its angles measure 50 degrees and 60 degrees. To find the measure of the third angle, you would subtract 110 (the sum of the two known angles) from 180. This gives you 70 degrees as the measure of the third angle.

In addition to the Triangle Angle Sum Theorem, you can also use the Isosceles Triangle Theorem to find the measure of an angle in an isosceles triangle. The Isosceles Triangle Theorem states that the angles opposite the two equal sides of an isosceles triangle are equal. This means that if you know one of the angles in the triangle, you can determine the measure of the other two angles, since they will both be equal to the measure of the known angle.

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X = -80538738812075974, Y = 80435758145817515,

and Z = 12602123297335631 are the values of  x,y,z of whole numbers.

What in mathematics is a whole number?

Complete numbers the sum of all natural numbers plus zero. not a decimal or fraction. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer. a negative number, zero, or a counting number.

                            Natural numbers with a starting value of 1 and higher are considered whole numbers. Let's examine a few instances of entire numbers. The alphabet "W" stands for the collection of whole numbers. W = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,.…}

x3+y3+z3=k, with k being all the numbers from one to 100

X = -80538738812075974,

Y = 80435758145817515,

and Z = 12602123297335631

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Answer:

I Think D.

Step-by-step explanation:

The number of solutions to a system of linear equations can be determined by solving the equations and checking for consistency. If the system is consistent, it has one unique solution. If the system is inconsistent, it has no solution. If the system is dependent, it has infinitely many solutions.

The number of solutions to a system of linear equations can be determined by solving the equations and checking for consistency. If the system is consistent, it has one unique solution. To check for consistency, the equations must be solved and the solutions compared. If all the solutions are the same, then the system is consistent and has one unique solution. If the solutions are different, then the system is inconsistent and has no solution. If all variables are linearly dependent, then the system is dependent and has infinitely many solutions. To determine if the variables are linearly dependent, one must check for a linear combination of the variables that yields the zero vector. If the linear combination exists, the system is dependent and has infinitely many solutions.

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Answer:

it is 18,920 feet above sea level

Step-by-step explanation:

I am very unsure what your question is, but the simple tip is to divide it by two each year as it is decreasing by a half..

To find the number of copies sold in subsequent years, you can use the formula:

N = N0 * (1/2)^t

where N is the number of copies sold in a given year, N0 is the initial number of copies sold (in this case, 600,000), t is the number of years since the book was released.

For example, to find the number of copies sold in the second year after the book was released:

N = 600,000 * (1/2)^1

N = 300,000

So, 300,000 copies were sold in the second year. To find the number of copies sold in subsequent years, you can continue to plug in values of t and solve for N.

The equation of line perpendicular to the line y = -2x-7 passing through (4,3) is : 2y = x+2

What is slope of line ?

Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.

Here, the equation of line given is y = -2x-7 first calculating its slope (\(m_{1}\)) by comparing it with slope- intercept form of line i.e. y = mx+c

Therefore, the slope of the given line \(m_{1}\) is -2.

Now the slope (\(m_{2}\)) of the line perpendicular to the given line is calculated using relation :

\(\begin{aligned}m_{1}m_{2}&=-1\\m_{2}&=\frac{-1}{-2}\\&=\frac{1}{2}\end{aligned}\)

Now the equation of the line passing through (4,3) and slope 1/2 will satisfy the equation y = mx +c

\(\begin{aligned}y&= mx +c \\3&=\frac{1}{2}\cdot 4+c\\c&=1\end{aligned}\)

Therefore the equation of line perpendicular to the line y = -2x-7 passing through (4,3) is : 2y = x+2

\(\begin{aligned}y&= mx +c \\y&=\frac{1}{2}x+1\\2y&=x+2\end{aligned}\)

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There are 10 members on the board, so there are 10 ways to elect a president, 9 ways to elect a vice president, 8 ways to elect a secretary, and 7 ways to elect a treasurer.

This is because each position can be filled by any of the members, except for the position that the member is already filling. For example, the president can be elected from any of the 10 members, but the vice president must be elected from the remaining 9 members.

The company sea esta has ten members on its board of directors, so it has a lot of different options for how to elect a president, vice-president, secretary, and treasurer. One way to elect a president would be to have the board members vote on who they want to be president.

Another way to elect a president would be to have the members of the company vote on who they want to be president. There are many different ways to elect officers, and it really depends on the company and what they want to do.

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We reject the null hypothesis, that is, that the mean weight of the cans is not of 12 ounces of fruit.

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.

This means that the null hypothesis is:

H₀ = µ = 12

The production group believes that the mean weight has changed.

This means that the alternate hypothesis is:

Ha : µ ≠ 12

The test statistic is:

z = X-µ/σ/√n

In which X is the sample mean, µ is the value tested at the null hypothesis, σ is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that µ = 12

They take a sample of 13 cans and find a sample mean of 12.04 ounces and a sample standard deviation of .05 ounces.

This means, that n = 13, X = 12.04, σ = 0.05

Value of the test statistic:

z = X-µ/σ/√n

z = 12.04-12/0.05/√13

= 2.88

P value of the test:

We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.88.

Looking at the z-table, z = 2.42 has a pvalue of 0.9980

1 - 0.9980 = 0.002

2*0.002 = 0.004

0.004 < 0.01. This means that at the 0.01 level, we reject the null hypothesis, that is, that the mean weight of the cans is not of 12 ounces of fruit.

Hence we get the require answer.

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This is because as the sample size increases, the confidence interval becomes more precise and thus narrower.

When the level of confidence and sample standard deviation remains the same, a confidence interval for a population mean based on a sample of n = 100 will be narrower than a confidence interval for a population mean based on a sample of n = 50. This is because larger sample sizes typically result in more precise estimates of the population mean, leading to a smaller margin of error and therefore a narrower confidence interval.
This is because as the sample size increases, the confidence interval becomes more precise and thus narrower.

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Answer:i am pretty sure it is c

Step-by-step explanation:

this is because it says Which graph best shows how many days each project has lasted? and c is the only one that is talking about days

1. Planning: Goal setting and strategizing 2. Organizing: Resource allocation and structuring. 3. Leading: Influencing and motivating. 4. Controlling: Monitoring and adjusting.

1. Planning: This function involves setting goals, determining strategies, and developing action plans to achieve organizational objectives.

2. Organizing: This function involves arranging and allocating resources, such as people, materials, and financial resources, in order to achieve the planned goals.

3. Leading: This function involves influencing and motivating individuals or groups to work towards the accomplishment of organizational goals.

4. Controlling: This function involves monitoring and evaluating the progress and performance of the organization, and taking corrective actions when necessary.

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The complete question is:

Match each management function with its corresponding description: Planning, Organizing, Leading, Controlling.

Answer:#1 is D

Step-by-step explanation:angles must equal 180 and yk that the angle under e is 39 so 180-39 =141

hi;augh4 vhaugawhfdb

Step-by-step explanation:

Answer:

29% of the drive

Step-by-step explanation:

The plot of the problem is:

Transmitter at origin (0,0)  

City to the north at (0,70)

City to the east at (74,0)

The path from city to city is a line with slope:

m = (-70)/74 = -35/37

and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.

The transmitter reach the area enclosed by the next circle:

x^2 + y^2 = 53^2

See the picture attached

The intersection is gotten from the picture or solving:

x^2 + [(-35/37)*x + 70]^2 = 53^2

the points approximately are: (24.1, 47.2) and (45.8, 26.7)

From Pythagorean theorem the total distance of the trip is:

d1 = √(70^2 + 74^2) ≈ 101.9 miles

And the distance when the signal is picked up is:

d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.

Answer:

Four-fifths (4/5)

hope it helps!

Answer:

Four-fifths

Step-by-step explanation:

To convert this decimal into a fraction remove the decimal and divide by 10, so the new fraction looks like 8/10. You do this because the eight is in the tenths place, so it literally translates to eight-tenths. However, fractions need to be in the simplest form so you divide both the numerator and denominator by 2 to get the final answer 4/5 or four-fifths.

Answer:

d if "in2" means /2

Step-by-step explanation:

3x-4=90-34

Answer:

0.46 feet

Step-by-step explanation:

Length = 5/6 feet (or 0.254 m)

Width = 3/8 feet (or 0.114 m)

(5/6 - 3/8) feet = 11/24 feet or 0.46 feet (0.140 m)

Answer:

12500

Step-by-step explanation:

we all know this is not high school math -_-

Answer: 216.2 + 48.75 = 264.95

Step-by-step explanation:

Multiply the amount of sandwiches by the cost.

47 * 4.60 = 216.2

Multiply the amount of chips by the cost.

39 * 1.25 = 48.75

Add them the totals together.

216.2 + 48.75 = 264.95

The length and the width vary inversely.

A variation is a relation between a set of values of one variable and a set of values of other variables.

In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.

If first rectangle length = 72cm and width = 56cm

Then, area = length x width = 72 x 56 = 4032\(cm^{2}\)

If length of second rectangle = x

and width = 21

Area of second rectangle = 21x

so both areas are equal, which means

21x = 4032

x = 4032/21

x = 192cm

Since the first rectangle had a width of 56cm and length, 72 and second rectangle has a reduced width 21 cm and an increased length 192cm. it means that the length and the width vary inversely since the reduction in width led to an increase in length.

In conclusion, the two quantities length and width vary inversely.

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Answer:

all you have to do is mach the variables with the words im not good on a computer but on the paper and pencil im a god so please hit me up

Step-by-step explanation: