7. A survey of 1000 registered voters found that 325 had voted in the most recent local election, 415 had voted in the most recent national election, and 245 had voted in both. If a surveyed person is randomly selected, what is the percent probability that he or she voted in the most recent local or national election? Express your answer to the nearest tenth of a percent, decimal and fraction.

The mean absolute deviation of the scores 299, 281, 285, 269, 280, 269, 286, 287 is (D) 6.75.

The mean absolute deviation (MAD) is a measure of the dispersion of a set of data. It is calculated as the average absolute difference between each data point and the mean of the set.

To find the MAD for the given scores, first find the mean of the scores:

(299 + 281 + 285 + 269 + 280 + 269 + 286 + 287) / 8 = 280.5

Then, find the absolute difference between each score and the mean, and take the average of these differences:

(|299 - 280.5| + |281 - 280.5| + |285 - 280.5| + |269 - 280.5| + |280 - 280.5| + |269 - 280.5| + |286 - 280.5| + |287 - 280.5|) / 8 = (18.5 + 0.5 + 4.5 + 11.5 + 0.5 + 11.5 + 5.5 + 6.5) / 8 = 7.5

So the mean absolute deviation of the scores is 7.5.

Therefore, the correct answer to the question is (D) 6.75.

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Answer:

Angle CDB = 32

Step-by-step explanation:

Here, we want to find the measure of CDB

Mathematically;

angle DCB = 90

This is because angle at the center is twice the angle at the circumference

Also;

angle CAD = angle CBD = 58

This is because they are angles in the same segment

Furthermore;

CDB + 90 + 58 = 180

This is because sum of angles in a triangle is 180

CDB = 180-90-58

CDB = 32

Answer:

13+2=15+2=17+2=19+2=21

1+5=6+5=11+5=16+21

(The Pink Answer)

Answer: ab =6

have:

\(\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\<=>\frac{a+b+1}{ab}=1\)

=> a + b + 1 = ab

⇔ a + b + 1 - ab = 0

⇔ b - 1 - a(b - 1) + 2 = 0

⇔ (b - 1)(1 - a) = -2

because a and b are postive integers => (b - 1) and (1 - a) also are integers

=> (b - 1) ∈ {-1; 1; 2; -2;}

(1 -a) ∈  {-1; 1; 2; -2;}

because (b -1).(1-a) = -2 => we have the table:

b - 1        -1             1              2             -2

1 - a         2            -2            -1              1

a              -1            3             2              0

b              0            2             3              -1

a.b            0           6             6               0

because a and b  are postive integers

=> (a;b) = (3;2) or (a;b) = (2;3)

=> ab = 6

Step-by-step explanation:

Answer:

21

BIDMAS

36 divided by 6 = 6

multiply by 2

add 9

The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

Given: Function f(x) is (x - 5)3(x + 2)2

If a curve touches the x-axis then f(x) = 0

⇒ (x - 5)3(x + 2)2 = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒ (x - 5)3 = 0 and (x + 2)2 = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

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David suggests that the median be used instead of the mean to o predict how many T-shirts your homeroom will sell because it gives a better estimate of the number of T-shirts the other homerooms sold.

The median is not affected by unusually high or low values, so it shows a more reliable prediction. From the data, the median number of T-shirts sold by the other homerooms is 1434.

How to distinguish between the median and the mean?

The median is the middle value of the data when you arrange it in order, while the mean is the average of all the values.

Example:

If we arrange the number in ascending order:

Mrs. Garcia: 740

Ms. Zang: 1368

Mrs. Ashe: 1434

Mr. Oliver: 1517

Mr. Jackson: 1696

Here, 1434 is the Median.

The median doesn't change much if there are some really big or small values, so it's better for data with unusual numbers.

However, the mean considers all the values, but it can be affected by extreme numbers.

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Answer:

16

Step-by-step explanation:

2 times 1 is 2

Answer:

supplementary angles

Step-by-step explanation:

for instance, 50 + 130 = 180.

Starting with the least likely event, the chances of a politician fulfilling all his or her campaign promises can be quite low due to the complexities of politics and the potential for unforeseen circumstances.

Next, while full moons are relatively common, they occur approximately once a month, making it more likely than the politician's scenario but less likely than the other events.

Rolling a die and getting a 6 has a higher likelihood as there is a 1 in 6 chance of rolling a 6 on a fair six-sided die. The safe arrival of a person in New York City from Chicago is more probable than the previous events but still has an element of uncertainty regarding the fate of their luggage.

Randomly selecting an ace from a regular deck of 52 playing cards has a higher probability compared to the previous events, as there are four aces in a deck. The likelihood increases further when randomly selecting the queen of hearts, which is only one specific card out of the 52-card deck.

Finally, selecting a black card from a regular deck has the highest probability among the listed events since there are 26 black cards in the deck, including all the clubs and spades.

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Answer:

6, 1, 8, -16

Step-by-step explanation:

For each input we divide it by 2 and then add 3 to get the output:

6/2+3=3+3=6

-4/2+3=-2+3=1

For each output we subtract 3 and multiply it by two to get the input:

(7-3)*2=4*2=8

(-5-3)*2=-8*2=-16

Answer:

2.

a) X=5.0791

(sorry I only know that one)

Joshua's song was played on 6 commercials and 2 movies.

Let the number of played movies be x. So, number of played commercials will be x + 4. Now, further forming the equation based on the route earned on each song.

(120×x) + 30×(x + 4) = 420

Performing multiplication on Left Hand Side of the equation

120x + 30x + 120 = 420

120x + 30x = 420 - 120

Performing addition and subtraction on Left and Right Hand Side

150x = 300

x = 300 ÷ 150

Performing division

x = 2

So, the number of movies = 2

Number of commercials = 2 + 4

Number of commercials = 6

Hence, song was played on 2 movies and 6 commercials.

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Answer:

The slope is 5/6 and the y intercept is -3

Step-by-step explanation:

Answer:

27 1/7

Step-by-step explanation:

Multiply 5×5=25 and afterwards multiply 3/7×5=2 1/7

The name of the rhythm with an atrial rate greater than 250 beats per minute, a non-measurable pr interval, and a ventricular rate of 120 is

The atria, or top chambers of the heart, beat too fast in atrial flutter. As a result, the heart beats quickly yet typically in a regular rhythm.

An example of a heart rhythm disturbance (arrhythmia) brought on by issues with the heart's electrical circuitry is atrial flutter.

Atrial fibrillation, a frequent disease that causes the heart to pulse irregularly, is comparable to atrial flutter.

Atrial flutter patients have a cardiac rhythm that is less erratic and more controlled than atrial fibrillation patients. A person may occasionally have both atrial flutter and atrial fibrillation in the same episode.

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To determine the level of service of the four-lane freeway, we need to consider the geometric design, traffic volume, vehicle mix, and the presence of ramps and obstructions. The HCM methodology can be used to estimate the level of service based on various parameters.

To determine the level of service of the four-lane freeway, we need to consider several factors, including the geometric design, traffic volume, vehicle mix, and the presence of ramps and obstructions.

First, the four-lane freeway has two lanes in each direction with 12-ft lanes, and obstructions 3 ft from the right edge of the traveled pavement. This geometric design may affect the traffic flow, especially when heavy vehicles and RVs are present. These types of vehicles require more space to maneuver, and the presence of obstructions may limit their ability to do so.

Second, the directional weekday peak-hour volume of 2100 vehicles is observed. This traffic volume is relatively high and may lead to congestion and delay, especially during peak hours. To estimate the level of service, we need to use the Highway Capacity Manual (HCM) methodology, which considers various parameters such as speed, travel time, and density.

Third, we need to account for the vehicle mix, which includes 5% heavy vehicles and 10% RVs. These types of vehicles have different characteristics than passenger cars and may affect the traffic flow differently. For example, heavy vehicles may cause more congestion due to their slower speed and larger size, while RVs may require more space to maneuver and may have limited visibility.

Finally, we need to consider the presence of ramps within 2 miles upstream and 2 miles downstream of the midpoint of the analysis segment. Ramps can affect the traffic flow by adding or removing vehicles from the mainline, and their location and design can affect the merging and weaving maneuvers.

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Answer:

1120.4 is what I got

Step-by-step explanation:

3000÷5000-200+921=721.6

answer is 721.6

Four of them have in all 504 cards.

Multiplication: In math, to multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product.

It is given that Stephanie has 126 basketball cards

and also said that her three friends have the same number of cards as she does

which gives 126 each of three friends so, three of them are having

friend 1 =126

friend 2=126

friend 3=126

=3×126 by combining three friends cards which gives,

=378

four of them will have 4×126=504 cards.

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Of them, four have all 504 cards.

What does "multiplication" mean?

Multiplication in mathematics is the addition of equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.

Given her collection of 126 basketball trading cards

and added that she shares the same number of cards with her three friends.

which amounts to 126 for each of the three friends, meaning that three of them

buddy 1 = 126

friend 2=126

friend 3=126

=3×126 by combining three friends cards which gives,

=378

four of them will have 4×126=504 cards.

Answer:

\(54\pi\ cm^2\)

Step-by-step explanation:

1. Approach

In order to solve this problem, one needs to find the height of the cone. This can be done using the Pythagorean theorem. After finding the height of the cone, one can use the formula to find the surface area of a cone, to find the surface area of this particular cone.

2. Find the height of the cone

The Pythagorean theorem is a property that relates the sides of a right triangle. The radius (distance from the center to circumference (outer edge)) of the base, the height of the cone, and the slant of the cone forms a right triangle. Thus, one can use the Pythagorean theorem to solve for the height. The Pythagorean states the following:

\(a^2+b^2=c^2\)

Please note that (a) and (b) represent the sides adjacent (next to) the right angle, (c) represents the hypotenuse (the side opposite the right angle). In this case (a) is the height, and (b) is the radius of the base. (c) is the diagonal of the cone. Substitute the given values in and solve for the height,

\(a^2+b^2=c^2\)

\(a^2+3^3=15^2\)

Simplify,

\(a^2+3^3=15^2\)

\(a^2+9=225\)

Inverse operations,

\(a^2+9=225\)

\(a^2=216\)

\(a=\sqrt{216}\)

3. Find the surface area of the cone

The following formula can be used to find the surface area of a cone,

\(A_s=\pi r(r+\sqrt{h^2+r^2})\)

Where (h) is the height of the cone, (r) is the radius of the base of the cone, and (\(\pi\)) represents the value (3.1415...). Substitute the given values into the formula and solve for the surface area,

\(A_s=\pi r(r+\sqrt{h^2+r^2})\)

\(A_s=\pi(3)(3}+\sqrt{\sqrt{216}^2+3^2}\)

Simplify,

\(A_s=\pi(3)(3}+\sqrt{\sqrt{216}^2+3^2}\)

\(A_s=\pi(3)(3}+\sqrt{216+9})\)

\(A_s=\pi(3)(3}+\sqrt{225})\)

\(A_s=\pi(3)(3}+15)\)

\(A_s=\pi(3)(18)\)

\(A_s=\pi(54)\)

Answer:

W

Step-by-step explanation:

9^(-1/2)*9^(3/2)=(1/3)*(3^3)=3^2=9

No because -4 is not smaller than -5, it is bigger.

JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

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The last one is equivalent: 2( n - 3 )

The correct choice that completes the sentence is: Besides vertical asymptotes, the zeros of the denominator of a rational function give rise to holes oblique so hat , the correct choice is b

Explanation:-

A rational function is a fraction with polynomials in the numerator and denominator. The denominator of a rational function cannot be zero because division by zero is undefined. Therefore, the zeros of the denominator are important in analyzing the behaviour of a rational function.

When a rational function has a zero in the denominator, it creates a vertical asymptote. The function becomes unbounded as it approaches the vertical asymptote from both sides. However, if the numerator has a zero at the same point where the denominator has a zero, the function may have a hole in the graph instead of a vertical asymptote.

In addition to vertical asymptotes and holes, the zeros of the denominator of a rational function can also give rise to oblique asymptotes. An oblique asymptote occurs when the degree of the numerator is exactly one more than the degree of the denominator. In this case, the function approaches a slanted line as x goes to infinity or negative infinity.

Therefore, analyzing the zeros of the denominator of a rational function is crucial in understanding its behaviour and graph. It can help identify vertical asymptotes, holes, and oblique asymptotes, providing valuable insights into the function's behavior.

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Answer:

84%

Step-by-step explanation:

To find a percentage, just divide the first number by the second.

\(\frac{193}{240}=0.80417\)

So 193 is about 80% of 240.

If you were to do it in the other order:

\(\frac{240}{193} =1.24352\)

240 is 124% of 193.

We know that

• 2/5 are strawberries.

• 1/4 of the strawberries are chocolate covered.

We have to find 1/4 of 2/5, let's multiply these fractions.

Answer:

25

Step-by-step explanation:

The median is the middle!

Answer:

a squared + b squared = c squared