According to the national oceanic and atmospheric administration (noaa), between 1851 and 2013 there were 290 hurricanes that hit the u.s. coast. of these, 117 were category 1 hurricanes, 76 were category 2 hurricanes, 76 were category 3 hurricanes, 18 were category 4 hurricanes, and 3 were category 5 hurricanes. make a probability distribution for this data. if a hurricane hits the u.s. coast, what is the probability that the hurricane will be a category 1 hurricane?

The conclusion in the argument is "the good, according to Plato, is that which furthers a person's real interests." which it is the correct answer.

In a well-structured argument, the conclusion is what the argument aims to prove.

The conclusion can be located at the beginning or end of the argument, and it should always be precise, clear, and understandable.

The conclusion in the argument above is that "the good, according to Plato, is that which furthers a person's real interests."

The argument tries to explain that the good in Plato's philosophical teachings is a thing that advances a person's genuine interests.

The statement "it follows that" is the premise that links the argument with the conclusion.

The premise and the conclusion have a relationship of cause and effect, and this implies that the argument's conclusion is "the good, according to Plato, is that which furthers a person's real interests."

Therefore, the right option is: the good, according to Plato, is that which furthers a person's real interests.

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Answer:

Substitute y=5x+13

[ 5x+13=x+1 ]

For y=5x+13

Substitute x=−3

y=5(−3)+13

5(−3)+13=−2

y=−2, x=−3

Step-by-step explanation:

The area of sector TOP is 70.83 square meters.

Given that r = 3m and arc TP = 297

we can find the central angle θ using the formula:

θ = (arc length / circumference) × 360

The circumference of a circle can be calculated using the formula:

circumference = 2πr

Let's calculate the central angle first:

circumference = 2 × π × 3m

circumference = 6π m

θ = (297 / (6π)) × 360

θ = (49.5 / π) × 360

θ= 49.5×57.3

θ = 2833.35

Now, we can calculate the area of sector TOP:

Area = (θ/360) × π × r²

Area = (2833.35/360) × π × (3m)²

Area = 7.87 × 9

Area = 70.83 m²

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Cost for 5 tickets = $20

Cost for 1 ticket = ?

To find the cost of 1 ticket we must divide 20 by 5 (in general, to find the cost of 1 thing we must divide the money by the number of things).

So,

Cost of 1 ticket = 20/5

Cost of 1 ticket = $4

_________

RainbowSalt2222 ☔

Answer:

$4

Step-by-step explanation:

20 dollar total of five tickets. divide the cost between each ticket to get your answer

20÷5=4

In shape (i), there are two electron domains around the central atom. This means that the electron-domain geometry is linear. However, there are two bonding pairs and no lone pairs of electrons around the central atom, resulting in the molecular geometry also being linear.

The concept of electron-domain geometry and molecular geometry is essential in understanding the properties of molecules. The electron-domain geometry is determined by the number of electron domains (bonding or lone pairs) around the central atom in a molecule. On the other hand, the molecular geometry is determined by the arrangement of atoms in the molecule, taking into account the presence of lone pairs.

Knowing the electron-domain geometry and molecular geometry of a molecule is crucial in predicting its polarity and reactivity. For instance, polar molecules have an asymmetric distribution of electron density, while nonpolar molecules have a symmetric distribution. This difference in polarity affects the physical and chemical properties of a molecule, such as boiling point, melting point, and solubility.

In summary, in shape (i), both the electron-domain geometry and molecular geometry are linear, which means that the central atom has two bonding pairs and no lone pairs. Understanding the electron-domain and molecular geometry of molecules is essential in predicting their properties and behavior.

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Answer:

Angle 1: 53

Angle 2: 72

Angle 3: 55

Angle 4: 127

Angle 5: 53

Angle 6: 66

Angle 7: 125

The probability that Z is less than 1.09 can be found by looking up the value of 1.09 in the cumulative standardized normal distribution table. From the table, we can find that the corresponding probability is 0.8621.

To find the probability that Z is less than -0.22 or greater than the mean, we need to find the probability of Z being less than -0.22 and the probability of Z being greater than the mean, and then add them together. From the table, we can find that the probability of Z being less than -0.22 is 0.5871, and the probability of Z being greater than the mean is 0.5. Adding these probabilities, we get 0.5871 + 0.5 = 1.0871.

To find the probability that Z is less than -0.22 or greater than 1.09, we need to find the probability of Z being less than -0.22 and the probability of Z being greater than 1.09, and then add them together. From the table, we can find that the probability of Z being less than -0.22 is 0.5871, and the probability of Z being greater than 1.09 is 1 - 0.8621 = 0.1379. Adding these probabilities, we get 0.5871 + 0.1379 = 0.725.

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Answer:

The method that will not give the correct number of inches is:

Multiply 2 1/2×3, and then add 34.

Step-by-step explanation:

A small plant is 2 1/2 inches tall. How tall will it be in 3 weeks if it grows 34 inch each week?

For the first week

2 1/2 inches + 34 inches

For 3 weeks

= 2 1/2 inches + 3(34) inches

= 2 1/2 inches + (34 + 34 + 34)inches

= 2 1/2 inches + 102 inches

= 104 1/2 inches

The height of the small plant after 3 weeks

= 104 1/2 inches

Which method will NOT give the correct number of inches?

The method that will not give the correct number of inches is:

Multiply 2 1/2×3, and then add 34.

Answer:

36

Step-by-step explanation:

60x3 = 180

48x3=144

subtract those 2wo numbers ( 180 and 144 ) and you'll get 36

Based on the given simple statements, "The scroll is open" and "The writings are visible," we can determine which compound statements would also be true.

The scroll is not open or the writings are visible.

This compound statement would be true. Since the first simple statement states that the scroll is open, the negation of this statement would be that the scroll is not open. The second simple statement states that the writings are visible, which aligns with this compound statement. Therefore, this compound statement is true.

The scroll is open or the writings are not visible.

This compound statement would not be true. Both simple statements state that the scroll is open and the writings are visible. So, the second part of this compound statement contradicts the given information.

The scroll is open or the writings are visible.

This compound statement would be true. It directly matches the given simple statements, where both the scroll being open and the writings being visible are mentioned. Therefore, this compound statement is true.

The scroll is not open or the writings are not visible.

This compound statement would not be true. Both simple statements state that the scroll is open and the writings are visible. So, neither part of this compound statement aligns with the given information.

The compound statements that would be true are:

The scroll is not open or the writings are visible.

The scroll is open or the writings are visible.

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We have expresses 53 Kobo as a decimal of 0.52 Naira.

A number that is not a whole is written using decimals. Between whole numbers are decimal numbers. 12.5, a decimal number that falls between 12 and 13, serves as an illustration of this. It is less than 13, but it is greater than 12. It's crucial to remember that fractions and decimal numbers are equivalent; the only difference is how they are expressed.

In keeping with the previous illustration, the mixed number 12 12 and 12.5 are equivalent numbers. No matter how complex the decimal is, this is true. For instance, 0.75 and 3/4 are equivalent. If you wanted to go even further, you could say that 0.75 is equivalent to 75%.

We know that 1 Kobo = 0.01 naira

Therefore, 52 kobo = 0.01  × 52 naira

                                  = 0.52 naira

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Answer:

4

Step-by-step explanation:

4,12

1,3

4/12=4

12/3=4

The point (1,3) is mapped to the point by a dilation with the origin as the center. The dilation's scale factor is 4.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original.

Finding the dilation's centre point is the first step in determining the scale factor. Next, we measure the distances between the centre point and various points on the preimage and the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states.

The basic formula to find the scale factor of a dilated figure is: Scale factor is equal to the difference between the dimensions of the old and new shapes.

= 4,12

= 1,3

= 4/12 =4

= 12/3 =4

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Parallel Lines

1. Angles ∠1 and ∠2 are linear because they form a line. The sum of their measures is 180°: ∠1 + ∠2 = 180°.

Given m∠2 = 120°, then

m∠1 = 180° - m∠2 = 180° - 120° = 60°

Thus:

m∠1 = 60°

2. Angles ∠1 and ∠5 are called corresponding pair of angles.

3. We have found that m∠1 = 60° and we are given that m∠5 = 60°.

If corresponding angles are congruent, then the lines must be parallel.

4. Given that m∠5 = 60° and ∠7 and ∠5 are linear, thus m∠7 = 120°.

Being ∠7 and ∠11 corresponding angles and having the same measure, the middle and the bottom shelf are parallel.

Answer:

shorter leg = 6 cm

Step-by-step explanation:

let n be the shorter leg then n + 2 is the longer leg.

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

n² + (n + 2)² = 10² , that is

n² + n² + 4n + 4 = 100

2n² + 4n + 4 = 100 ( subtract 100 from both sides )

2n² + 4n - 96 = 0 ( divide through by 2 )

n² + 2n - 48 = 0 ← in standard form

(n + 8)(n - 6) = 0 ← in factored form

equate each factor to zero and solve for n

n + 8 = 0 ⇒ n = - 8

n - 6 = 0 ⇒ n = 6

However , n > 0 then n = 6

the shorter leg is 6 cm long

Answer:

The equation for new function is

Step-by-step explanation:

We have been given the absolute value parent function f(x) = |x| and this function is vertically compressed by a factor 3.

If we multiply the function with a constant (say a) then the parent function will get stretch/compressed vertically.

We have below conditions for vertical stretch and compression.

a > 1 => vertically stretch

0 < a < 1 => vertically compression

Hence, in order to vertical compression by a factor 3, we have to multiply the whole function by 1/3

Therefore, the equation for new function is

Step-by-step explanation:

g(x) = 1/3 |x| !

Answer:

D

Step-by-step explanation:

\(\frac{15}{x-6}\) + \(\frac{7}{x+6}\)

before we can add the fractions we require them to have a common denominator.

the common denominator is (x - 6)(x + 6)

= \(\frac{15(x+6)}{(x-6)(x+6)}\)  + \(\frac{7(x-6)}{(x-6)(x+6)}\)

= \(\frac{15x+90+7x-42}{(x-6)(x+6)}\) ← expand denominator using FOIL

= \(\frac{22x+48}{x^2-36}\)

Let's check which polynomial is divisible by ( x - 1 ) using hit , trial and error method .

A ( x ) = 3x³ + 2x² - x

The word " divisible " itself says that " it is a factor "

Using factor theorem ;

Let;

=> x - 1 = 0

=> x = 1

Substitute the value of x in p ( x )

p ( 1 ) =

3 ( 1 )³ + 2 ( 1 )² - 1

3 ( 1 ) + 2 ( 1 ) - 1

3 + 2 - 1

5 - 1

4

This implies ;

A ( x ) is not divisible by ( x - 1 )

Similarly,

B ( x ) = 5x³ - 4x² - x

B ( 1 ) =

5 ( 1 )³ - 4 ( 1 )² - 1

5 ( 1 ) - 4 ( 1 ) - 1

5 - 4 - 1

5 - 5

0

This implies ;

B ( x ) is divisible by ( x - 1 )

Similarly,

C ( x ) = 2x³ - 3x² + 2x - 1

C ( 1 ) =

2 ( 1 )³ - 3 ( 1 )² + 2 ( 1 ) - 1

2 ( 1 ) - 3 ( 1 ) + 2 - 1

2 - 3 + 2 - 1

4 - 4

0

This implies ;

C ( x ) is divisible by ( x - 1 )

Similarly,

D ( x ) = x³ + 2x² + 3x + 2

D ( 1 ) =

( 1 )³ + 2 ( 1 )² + 3 ( 1 ) + 2

1 + 2 + 3 + 2

8

This implies ;

D ( x ) is not divisible by ( x - 1 )

Answer:

DCC

Step-by-step explanation:

CDDCDC

Different type of spaghetti dinners is 8

What is combination ?

"The number of possible arrangements in a collection of items where the order does not matter."

For 4 different shaped of noodles = ⁴c₁

                                             ⁴c₁ = 4        

For two kinds of cheese = ²c₁

                                         ²c₁ = 2

Now , multiplying these  4×2 = 8

Hence, 8 type of spaghetti dinners

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Answer:

y=4

Step-by-step explanation:

8y+1=6y+9

8y-6y=9-1

2y=8

y=4

To prove that the argument is valid using propositional logic, we can apply logical rules and deductions. Let's break down the argument step by step:

(A + B) ^ (C V -B) ^ (-D --> C) ^ A ^ D

We will represent the proposition as follows:

P: (A + B)

Q: (C V -B)

R: (-D --> C)

S: A

T: D

From the given premises, we can deduce the following:

P ^ Q (Conjunction Elimination)

P (Simplification)

Now, let's apply the rules of disjunction elimination:

P (S)

A + B (Simplification)

Next, let's apply the rule of disjunction introduction:

C V -B (S ^ Q)

Using disjunction elimination again, we have:

C (S ^ Q ^ R)

Finally, let's apply the rule of modus ponens:

-D (S ^ Q ^ R)

C (S ^ Q ^ R)

Since we have derived the conclusion C using valid logical rules and deductions, we can conclude that the argument is valid.

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Answer:

3:8

Step-by-step explanation:

15:40

Work out the same by simplifying which they both go in 5

then doing that you can get 3/8 Or 3:8.

Hope it helps!


Spanish:

Resuelve lo mismo simplificando lo que ambos van en 5

luego haciendo eso puedes obtener 3/8 o 3: 8.

Answer:

Step-by-step explanation:

To increase a number by 0.7%, you can multiply the number by 1 + 0.007, where 0.007 represents 0.7% as a decimal.

So, multiplying by 1.007 is equivalent to an increase of 0.7%.

Answer:8 feet

Step-by-step explanation:

The ratio of nonwinners in group A to nonwinners in group B after the selections are made is 156 : 319.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

Nonwinners in group A = (1 - 3/5) x 390 = 156

Winners in group B = (390 - 156) = 234

nonwinners in group B = 553 - 234 = 319

The ratio = 156 : 319

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Answer:

-21

Step-by-step explanation:

i searched it up

Among the given statements, the following statement "Compared with location A, the miles were driven for location B display more variability and the median is greater" provides the best comparison of the two locations.

Hence, option (C) is the correct choice.

For finding the interquartile range for location, first, find the median (middle value) of the bottom half and upper half of the data before calculating the interquartile range (IQR). Quartile 1 (Q1) and Quartile 3 are these values (Q3). The IQR represents the variation between Q3 and Q1.

The interquartile range for location B is Q3 - Q1 = almost 140 - 40 = 100, while it is Q3 - Q1 = nearly 60 - 40 = 20 for location A.

Therefore, the miles travelled for position B are more variable than they are for place A.

Greater than Location A's almost 50 medians is Location B's nearly 80 median.

Therefore, location B's median miles driven is higher than it is for location A.

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Answer:

63 miles/1.4 hours = 45 mph

(55 mph)(4 hours) = 220 miles

The number of real solutions of a quadratic equation depends on the sign of the discriminant.We can find discriminant by using discriminant formula.

A real solution in algebra is simply a solution to an equation that is a real number. there can be 0, 1, or 2 solutions to a quadratic equation depending on whether the expression inside the square root sign (b2 - 4ac), is positive, negative, or zero.

When the discriminant value is positive we get two real solutions. When the discriminant value is zero we get one real solution. When the discriminant value is negative we get a pair of complex solutions.

So that we can find real solution of quadratic equation by finding discriminant of given equation.

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Answer:

To convert the weight of the pitaya seed from ounces to standard form, we need to express it in scientific notation.

Given: Weight of the pitaya seed = 1x10^(-3) ounces

In standard form, the weight can be written as a decimal number between 1 and 10 multiplied by a power of 10.

1x10^(-3) in standard form is 0.001.

Therefore, the weight of the pitaya seed in standard form is 0.001.

The weight of a pitaya, or dragon fruit, is given as 1x10^3 ounces in scientific notation, which converts to 1000 ounces in standard form.

Scientific notation is a concise way to express very large or small numbers, using powers of 10. In this case, the weight of a pitaya, represented as 1x10^3 ounces in scientific notation, can be easily converted into standard form. The exponent, 3 in this instance, indicates the number of places the decimal point should be moved. Therefore, an exponent of 3 means shifting the decimal point three places to the right. Consequently, the weight of the pitaya in standard form is 1000 ounces. This method provides a clear and efficient way to handle large numbers, making complex calculations and comparisons more manageable.

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