please helpp What is the converse of the statement below?
If three points lie on the same line, then they are collinear.

answer choices
If three points are not collinear, then they do not lie on the same line.
If three points are collinear, then they lie on the same line.
If three points lie on the same line, then they are collinear.
If three points do not lie on the same line, then they are not collinear.

Answer:

2x-4=10

2x=14

x=7

2. 3x+3=2x-1

3x-2x=-1-3

x=-4

3. 7x+x=24

8x=24

x=3(

4. 5+x=-18

x=-18-5

x=-23

5. -14=10-6x

6x=10+14

6x=24

x=4

6. 2x-2=x+12

2x-x=12+2

x=14

7. 3x-31=2

3x=2+31

3x=33

x=11

8. 5x-14=16

5x=16+14

5x=30

x=6

9. 2x+8=4(5-x)

2x+8=20-4x

2x+4x=20-8

6x=12

x=2

10. 2x-3=3(1+x)

2x-3=3+3x

2x-3x=3+3

-x=6

Front-end estimation is a particular way of rounding numbers to estimate sums and differences.

To use front- end estimation, add or subtract only the numbers in the greatest place value. Then add the decimals rounded to the nearest tenth.

Step-by-step explanation:

In front end estimation we are going to replace the original number with a number that is close by but only has one non zero digit. Examples: {20, 300, -50, 1,000, 80,000}. For example take the number 32, the choices to replace it with are 30 or 40 (they both have only one non-zero digit).

"It can vary - it really depends on the distribution of the variable."

The number of intervals, or bins, to choose when creating a histogram can vary depending on the distribution of the variable.

Most often, about 8-10 intervals are used, but there is no set rule. It is generally recommended to have at least 5 intervals, but if the data is highly skewed or has outliers, more intervals may be needed to accurately represent the distribution.

Ultimately, the goal is to choose a number of intervals that provides a clear visual representation of the data without oversimplifying or overcomplicating the histogram.

The number of intervals or bins to be chosen when creating a histogram can vary and it really depends on the distribution of the variable.

While most often, about 8-10 bins are used, there is no hard and fast rule for the number of bins to be used in a histogram.

In general, the number of bins should be large enough to display the shape of the distribution clearly, but not so large that it obscures important features of the distribution or leads to overfitting.

A minimum of 5 bins is recommended to display the basic shape of the distribution, but more bins may be necessary for complex or multi-modal distributions.

Depending on the distribution of the variable, a histogram's number of intervals or bins can be altered.

There is no established guideline, however 8–10 intervals are typically utilized.

A minimum of five intervals are often advised, however if the data is extremely skewed or contains outliers, more intervals could be required to correctly depict the distribution.

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Hi!

Lets walk through this together.

Lets start with the top.

4-8 is -4.

what that line is- its pretty much telling you to divide.

-4 divided by 3 is -1.3~ (infinant 3's)

-1.3~ Is your answer. Hope this helps!

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Answer:

True

Step-by-step explanation:

Plug in the point:

-2-(-1)=-2+1=-1<0.

This is a true statement

Answer:

Step-by-step explanation:

Use a^2 + b^2 = c^2 to get the third side.

a = 12

b = ?

c = 37

a^2 + b^2 = c^2

144 + b^2 = 37^2

144 + b^2 = 1369       Subtract 144 from both sides.

-144              -144

b^2 = 1225                Take the square root of both sides

sqrt(b^2) = sqrt(1225)

b = 35

Perimeter = a + b + c

Perimeter = 12 + 35 + 37

Perimeter = 84

Answer:

yes

Step-by-step explanation:

no

He will receive $10 when he exchanges the 100 pesos back to American dollars.

7a. The ratio of American dollars to Mexican Pesos is given as; American dollars:

Mexican Pesos = 270:3000 or 270/3000:7

b. Let the rate of exchange be $1 = 10 Mexican Pesos

Levant traded 270 American dollars for 3,000 Mexican pesos.

Therefore, the exchange rate he got was; Exchange rate = 3000/270 = 11.

11So he got 11.11 Mexican Pesos for each American dollar he exchanged.

Now, he has 100 pesos left to exchange to dollars.

Using the exchange rate of $1 = 10 Mexican Pesos;100 pesos = 100/10 = $10

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The cost of an afternoon ticket is $12.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.

Let x = cost of an afternoon ticket

If a ticket to an evening performance of a play costs $3 more than a ticket to an afternoon performance, then

cost of an evening ticket = 3 + x.

If 8 evening tickets is the same price as 10 afternoon tickets, then

8(3 + x) = 10x.

Simplify the equation and solve for the value of x.

8(3 + x) = 10x

24 + 8x = 10x

2x = 24

x = 12

cost of an afternoon ticket = $12

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Step 1:

The formula for the area of a hexagon can also be given in terms of the apothem as,

Area of hexagon

where 'a' is the length of the apothem and 'P' is the perimeter of the hexagon.

Step 2:

Length of the sides = 15 cm

Step 3:

Find the Apothem ' a '

Find each angle

Next

According to the information provided, the correct answers are as follows:

1. The shape of the distribution of sample means will be normal because the population mean is not known and the sample size is considered large enough.

2. The standard deviation of the distribution of the sample mean is always smaller than the standard deviation of the population.

1. According to the Central Limit Theorem, when the sample size is large enough, regardless of the shape of the population distribution, the distribution of sample means tends to follow a normal distribution.

2. The standard deviation of the distribution of the sample mean, also known as the standard error of the mean, is equal to the population standard deviation divided by the square root of the sample size. Since the sample mean is an average of observations, the variability of the sample mean is reduced compared to the variability of individual observations in the population.

The Central Limit Theorem states that when the sample size is sufficiently large, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution. The standard deviation of the sample mean will be smaller than the standard deviation of the population.

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At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).


To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.

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The margin of error with a sample size of 1600 will be smaller than the margin of error with a sample size of 100, assuming the same standard deviation and confidence level, meaning that we can be more confident in the accuracy of the estimate with a larger sample size.

Assuming that both samples have the same standard deviation, the margin of error for a 95% confidence interval for estimating a population mean can be calculated as

Margin of Error = z×(standard deviation/sqrt(sample size))

where z is the z-score corresponding to the desired confidence level (in this case, 1.96 for a 95% confidence level).

For a sample size of 100, the margin of error would be

Margin of Error (n=100) = 1.96×(standard deviation/sqrt(100))

For a sample size of 1600, the margin of error would be

Margin of Error (n=1600) = 1.96*(standard deviation/sqrt(1600))

Since the standard deviation is the same for both samples, the only difference between the two margins of error is the sample size. The margin of error is inversely proportional to the square root of the sample size, so as the sample size increases, the margin of error decreases.

In other words, the margin of error with a sample size of 1600 will be smaller than the margin of error with a sample size of 100, assuming the same standard deviation and confidence level. This means that we can be more confident in the accuracy of the estimate with a larger sample size.

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Step-by-step explanation:

the general slope intercept formula is

y = ax + b

a is the slope of the line.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

-2 = (1/4)×0 + b

b = -2 (as expected)

the full line equation is

y = (1/4)x - 2

The side of the square inscribed in a square be a units then the required ratio is π : 2.

A square is inscribed in a circle or a polygon if its four vertices are on the circle's circumference or the polygon's sides.

Inscribed in the circle is a square that fits snugly inside a circle. The square's corners will touch but not intersect the circle's boundary, and the diagonal of the square will equal the diameter of the circle. Furthermore, as with any square's diagonal, it equals the hypotenuse of a 45°-45°-90° triangle.

Let the side of the square inscribed in a square be a units.

Hence, the required ratio is 2 : 1.

Let ABCD be a square inscribed in a circle of radius 'r'.

Now, the diameter of the circle is the diagonal of the square.

Therefore, BD = 2r.

In △BDC, using Pythagoras theorem

\(BC^2+CD^2=BD^2\)

⇒ \(a^2+a^2=(2r)^2\)

⇒ \(2a^2=4r^2\)

⇒ \(a^2=2r^2\)

Area of square=\(2r^2\)

Area of circle =\($$\pi r^2\)

Required ration = \($\pi r^2:2r^2\) = π : 2

Therefore, the required ration is π : 2.

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The equation of the line that passes through the points (-6,4) and (-2,2) is y - 4 = -1/2(x + 6)

What is the equation of the line?

To find the equation of a line that passes through two given points, we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line, and m is the slope of the line.

The slope of the line can be found by using the two points:

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

So,

m = (2 - 4) / (-2 - (-6)) = -2/4 = -1/2

We know that the line passes through the point (-6,4) so we can substitute the values into the equation:

y - 4 = -1/2(x + 6)

Hence, the equation of the line that passes through the points (-6,4) and (-2,2) is y - 4 = -1/2(x + 6)

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Answer:

99

Step-by-step explanation:

Did the quiz

The Department of Energy was also eager to sign on, in part because it wanted to learn about how radiation causes genetic mutations.

An modification in the nucleic acid sequence of an organism's, virus's, or extrachromosomal DNA is referred to as a mutation. DNA or RNA can be found in the viral genome.

Any alteration to a cell's DNA sequence. Mistakes in cell division can result in mutations, as can exposure to environmental DNA-damaging substances.

Ionizing radiation may harm genetic material (mutations) in gonads or germ cells, which can result in disorders with a genetic component (hereditary defects). Malformations, metabolic issues, immune system deficits, etc. might occur from them.

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The amount of money that Carly would have left if she doesn't buy any packs of baseball cards is $20.

In order to calculate the amount of money that Carly would have left if she doesn't buy any packs of baseball cards, we would determine the cost of each baseball card as follows:

Translating the word problem into an algebraic expression, we have;

x - n = 16

x - 2n = 12

Solving the simultaneous equations by elimination, we have:

n = 4

Therefore, Carly's minimum balance is given by:

x - n = 16

x = 16 + n

x = 16 + 4

x = $20.

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Complete Question:

The graph shows the relationship between the total amount of money that Carly will have left, y, if she buys x packs of baseball cards. How much money will she have if she doesn't buy any packs of baseball cards?

Answer:

$20

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

There are 92 bit strings of length 8 that start with a 11 or end with 000.

We can solve this problem using the principle of inclusion-exclusion. Let A be the set of bit strings of length 8 that start with 11, and let B be the set of bit strings of length 8 that end with 000. We want to find the size of the union of A and B.

The number of bit strings of length 8 that start with 11 is 2^6, since there are 6 remaining bits that can be either 0 or 1. The number of bit strings of length 8 that end with 000 is also 2^5, since there are 5 remaining bits that can be either 0 or 1.

However, we have counted the bit strings that both start with 11 and end with 000 twice. To correct for this, we need to subtract the number of bit strings of length 8 that start with 11000, which is 2^2.

Therefore, the number of bit strings of length 8 that start with a 11 or end with 000 is:

|A ∪ B| = |A| + |B| - |A ∩ B|

= 2^6 + 2^5 - 2^2

= 64 + 32 - 4

= 92

So there are 92 bit strings of length 8 that start with a 11 or end with 000.

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There are 88 bit strings of length 8 that start with "11" or end with "000."

To determine the number of bit strings of length 8 that start with "11" or end with "000," we can use the principle of inclusion-exclusion.

Let's consider the two conditions separately:

Bit strings that start with "11":

In this case, the first two bits are fixed as "11." The remaining 6 bits can be either 0 or 1, giving us 2^6 = 64 possibilities.

Bit strings that end with "000":

Similarly, the last three bits are fixed as "000." The first 5 bits can be either 0 or 1, resulting in 2^5 = 32 possibilities.

However, we have counted some bit strings twice because they satisfy both conditions (start with "11" and end with "000"). These bit strings have a length of at least 5 (3 bits in the middle), and there are 2^3 = 8 possibilities for these middle bits.

By using the principle of inclusion-exclusion, we can compute the total number of bit strings satisfying either condition as follows:

Total = Bit strings starting with "11" + Bit strings ending with "000" - Bit strings satisfying both conditions

= 64 + 32 - 8

= 88

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12:20, devide it by 4 and you'll get

= 3:5

Thus

12:20 \(\red{\bold{\neq}}\) 4:5

4.  It is important to understand radius and circumference to solve problems in the real world because many objects and structures have circular or spherical components.

5.  The greater the circumference of the tire, the more distance it will cover per revolution.

4. Understanding radius and circumference is important in solving real-world problems because many objects and structures have circular or spherical components.

For example, wheels, gears, pulleys, pipes, and tanks are often circular or cylindrical in shape, and their design and function rely on properties related to radius and circumference. In addition, concepts related to radius and circumference are important in fields such as engineering, physics, and mathematics.

5. The circumference of a tire and the rotations necessary to cover a given distance are directly proportional. This is because the distance traveled by the tire is equal to the circumference of the tire multiplied by the number of rotations.

In other words, the greater the circumference of the tire, the more distance it will cover per revolution. Therefore, if the distance to be covered is fixed, a larger tire will require fewer rotations than a smaller tire. This is why large tractors or trucks with large tires are able to cover more distance with fewer rotations compared to miniature toy cars with small tires.

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Answer:

603

Step-by-step explanation:

First divide to get unit rate:

737/11= 67

Then  multiply:

67*9= 603

Hope this helps! :)

Answer:

Scott would drive 603 miles in 9 hours

Step-by-step explanation:

First to find the rate we need to see how many miles Scott can drive per hour.

737/11=67

67/1 or 67 mph is our unit rate.

so if we want to know how many miles he can drive per 9 miles we just multiply (the unite rate by how many miles) 67 x 9, which equals, 603.

I hope I could help!

Answer:

It's 8.

Step-by-step explanation:

You always divide y from x.

32/4 = 8

40/5 = 8

Therefore it is 8.

Answer: x=3/2

Step-by-step explanation:

-4(2-3x)=7-2(x-3)

-4(-3x+2)=7-2(x-3)

12x-8=7-2(x-3)

ok im done but im tired thats all im doin but tips: just copy it and past it and look it up. That simple

Answer:

x=21/24

Step-by-step explanation:

-4(2-3x)=7-2(x-3)

-8+12x=7-2x+6

12x=7-2x+14

24x=21

x=21/24

-

Answer: 945

Step-by-step explanation:

Number of people that voted western = 40%

Number of people that voted disco = 60%

The number of people that'll vote disco if all 1575 people voted will be:

= 60% of 1575

= 60/100 × 1575

= 0.6 × 1575

= 945

Answer:I feel bad

Step-by-step explanation: