Which of the following numbers is closest to 7?
O A. 50
O B. 147
O c. 151
O D. 146

Answer:

True

Step-by-step explanation:

The given statement "John Graunt is said to be the first to employ quantitative methods to describe population vital statistics" is true as he was interested in how various factors affected mortality rates and population growth.

Quantitative methods are used to quantify and assess data. These techniques are employed by statisticians and scientists in a variety of fields, including psychology, economics, and public health. Quantitative data can be transformed into statistical analyses to make sense of patterns, patterns, and relationships.

John Graunt was a London haberdasher who lived from 1620 to 1674. He is known as the father of vital statistics, and he was the first to employ quantitative methods to describe population vital statistics.

Graunt was interested in how various factors affected mortality rates and population growth, and he used statistical methods to investigate these issues.

In summary, John Graunt is said to be the first to employ quantitative methods to describe population vital statistics.

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Answer:

the price for 10 balls is $8.00

Step-by-step explanation:

Given;

The total price function;

P = 0.80n + 5.50

Total price P = price of balls(variable cost) V+ entrance fee(fixed) F

So,

price of balls(variable cost) V(n) = 0.80n

entrance fee(fixed) F = 5.50

The price for 10 balls, not including the entrance fee is

V(n) = 0.80n

n = 10

Substituting the given values;

V(10) = 0.80(10) = $8.00

the price for 10 balls is $8.00

Answer:

60 minutes

Step-by-step explanation:

Latitude and longitude are measuring lines used for locating places on the surface of the Earth. They are angular measurements, expressed as degrees of a circle. A full circle contains 360°. Each degree can be divided into 60 minutes, and each minute is divided into 60 seconds.

One degree of latitude is equal to approximately 60 nautical miles or 69 statute miles. Since a minute of latitude is one-sixtieth of a degree, it follows that one degree of latitude is equal to 60 minutes.

This means that there are 60 nautical miles or 69 statute miles between two points that differ by one minute of latitude.

The minute of latitude is a widely used unit for measuring distances on Earth, particularly in navigation and aviation. It allows for precise calculations and is crucial for determining positions accurately. Understanding the relationship between degrees of latitude and minutes helps in determining distances, estimating travel times, and ensuring accurate navigation across the globe.

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Answer:

Step-by-step explanation: The length of q to the nearest 10th of a centimeter is 0.2 cm.

Describe Law of Sines?

The Law of Sines is a trigonometric formula used to find the missing sides or angles of a non-right triangle (a triangle that does not have a 90-degree angle). It states that the ratio of the length of a side of a triangle to the sine of the opposite angle is the same for all three sides and angles:

a/sin(A) = b/sin(B) = c/sin(C)

where:

a, b, c are the lengths of the sides of the triangle, and

A, B, C are the measures of the angles opposite to those sides.

This formula is useful when we have some information about the sides or angles of a triangle, but not enough to solve it completely. By using the Law of Sines, we can set up and solve equations to find the missing values.

Using the Law of Sines, we have:

q / sin(2°) = p / sin(149°)

Solving for q:

q = p * sin(2°) / sin(149°)

= 6.3 * sin(2°) / sin(149°)

≈ 0.23 cm

Therefore, the length of q to the nearest 10th of a centimeter is 0.2 cm.

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Answer:

3

Step-by-step explanation:2-5

The perimeter on the blueprint is 13 inches.

What is the perimeter of the rectangle?

To find the perimeter of a rectangle, you add up the lengths of all four sides. If the length of one side is labeled "l" and the length of an adjacent side is labeled "w", then the perimeter is:

P = 2l + 2w

To find the perimeter on the blueprint, we need to convert the actual dimensions of the bedroom from feet to inches, using the scale on the blueprint.

Since 1/4 inch on the blueprint represents 1 foot in real life, we can multiply the actual dimensions of the bedroom by 1/4 to get the dimensions on the blueprint in inches:

Length on blueprint = 1/4 * 16 feet = 4 inches

Width on blueprint = 1/4 * 10 feet = 2.5 inches

Now that we have the dimensions on the blueprint in inches, we can find the perimeter on the blueprint by adding up the four sides:

Perimeter on blueprint = 2 * (length on blueprint + width on blueprint)

Perimeter on blueprint = 2 * (4 + 2.5) inches

Perimeter on blueprint = 13 inches

Therefore, the perimeter on the blueprint is 13 inches.

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Answer:

Given a relationship between two quantities, determine whether the relationship is a function. ... If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.

Step-by-step explanation:

hope it helps

The possible numbers of hours Yolanda could rent the boat is 6 hours.

The term "inequality" is used in mathematics to describe a relationship between two expressions or values that is not equal to one another. Inequality results from a lack of balance. When two quantities are equal, we use the symbol '=', and when they are not equal, we use the symbol. If two values are not equal, the first value can be greater than (>) or less than (), or greater than equal to () or less than equal to ().

Here the given boat cost per hour = $7.

Offer he gets = $3.

Now writing a inequality then, t represent number of hours,

=> 7t-3\(\le\)39

Now solving this inequality for t then,

=> 7t\(\le\)39+3

=> 7t\(\le\)42

=> t\(\le\)42/7

=>t\(\le\)6

Hence the possible numbers of hours Yolanda could rent the boat is 6 hours.

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Answer:

Step-by-step explanation:

The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.

A. No solution

y = 1/4x+5

x - 4y = 4

You can simplify the second equation into y = 1/4x - 1

Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.

Answer:

-72x^4 + 34x^3 + 145x^2 - 65x - 14

Step-by-step explanation:

(-9x² + 11x +2) x (8x² + 6x -7)

= -72x^4 - 54x^3 + 63x^2 + 88x^3 + 66x^2 - 77x + 16x^2 + 12x - 14

= -72x^4 + 34x^3 + 145x^2 - 65x - 14

So, the answer is  -72x^4 + 34x^3 + 145x^2 - 65x - 14

When the radius is 10 feet, the rate at which the area of the circle is increasing is 20π square feet per second.

10 seconds after the boy drops the stone, the rate at which the area of the circle is increasing is still 20π square feet per second.

Boy sitting on a pier,

Height of the pier above water drops = 16 feet

Apply the formulas for the area of a circle and the relationship between the radius and time.

To find the rate at which the area of the circle is increasing when the radius is 10 feet,

Differentiate the area formula with respect to time,

A = πr²

Differentiating both sides with respect to time (t),

dA/dt = 2πr × dr/dt

dr/dt = 1 foot per second (since the radius expands at a rate of 1 foot per second),

and we want to find the rate when the radius is 10 feet, we substitute these values,

r = 10 ft

dr/dt = 1 ft/s

dA/dt

= 2π(10) × 1

= 20π

To find the rate at which the area of the circle is increasing 10 seconds after the boy drops the stone,

Determine the radius at that time and differentiate the area formula accordingly.

The radius expands at a rate of 1 foot per second, after 10 seconds, the radius will be,

r = initial radius + (rate × time)

= 0 + (1 × 10)

= 10 ft

Now, differentiate the area formula with respect to time and substitute the values,

A = πr²

⇒dA/dt = 2πr × dr/dt

⇒dA/dt = 2π(10) × 1

             = 20π

Therefore, rate at which area of the circle increasing,

For the radius 10 feet and 10 seconds after which boy drops the stone increase in area pf the circle by 20π square feet per second.

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Answer: D

Explanation:

Use the vertex formula, -b/2a. Because the quadratic formula is ax^2+bx+c, -b would be 5 in this case and a would be 2 in this case. Plug the numbers in and you get 5/4. The AOS or vertex would be 5/4 or 1.25. Because the a-value is a positive in this equation, the parabola would have a minimum.  

Given:

Diameter of ball = 8 cm

To find:

The volume of the ball.

Solution:

We know that the radius of sphere is half of is diameter.

It is given that the the diameter of ball is 8 cm. So, the radius of the ball is:

\(r=\dfrac{8}{2}\)

\(r=4\)

The radius of the ball is 4 cm.

The volume of a sphere is:

\(V=\dfrac{4}{3}\pi r^3\)

Where r is the radius of the sphere.

Putting \(\pi = 3.14, r=4\) in the above formula, we get

\(V=\dfrac{4}{3}(3.14)(4)^3\)

\(V=\dfrac{4}{3}(3.14)(64)\)

\(V=267.946667\)

\(V\approx 267.95\)

Therefore, the volume of the ball is about 267.95.

Answer:19/20

Step-by-step explanation:

60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

According to the question,

We have the following information:

3 digits integers are to be made from 1,2,3,4 and 5

So, we will use permutation to find the possible number of digits that can be made if we apply all the given conditions.

Now, we have:

Total number of digits = 5

Number of digits to be made = 3

So, we have:

\(^{5} P_{3}\)

Solving this expression:

5*4*3

60

Hence, 60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

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Answer:

24

Brainliest, please!

Step-by-step explanation:

68 + (5t - 8) = 180

5t + 60 = 180

5t = 120

t = 24

Answer:

24

Step-by-step explanation:

5t-8 and 68 are the angles of a straight line so their addition will be180°.

5t-8 + 68 = 180

5t + 60 = 180

5t = 180-60

5t = 120

t= 120/5

t= 24

Answer:

here

x=2 then,

3*2^2 - 2*2+1

3*4-4+1

12-4+1

9

Step-by-step explanation:

Simplify:

3x^2 - 2x + 1

=> 3(2)^2 - 2(2) + 1 [∵ x = 2 (Given)]

=> 3(4) - 2(2) + 1

=> 12 - 4 + 1

=> 13 - 4

=> 9 Ans.

Answer:

17t+9

Step-by-step explanation:

Answer:

perimeter = 17t +9 feet

Step-by-step explanation:

width W = 7t - 1.5

length L = 1.5t + 6

Perimeter = 2W + 2L

substitute expressions for W & L:  2(7t - 1.5) + 2(1.5t + 6)

expand:  14t - 3 + 3t + 12

collect like terms:  14t + 3t - 3 + 12

combine like terms: 17t +9

** can't give an exact value for the perimeter as don't have a value for t **

Answer:

Total=4 +3=7

For the 4

4÷7×70=£40

For the 3

3÷7×70=£30

So the division of £70 in ratio 4:3 is £40:£30

Answer:

Step-by-step explanation:

The slope for the given situation will be $2.96. 5.92/2 = $2.96 per meal

The maximum possible number of handshakes that can happen at the party with 23 people with at most 22 other people is 253. This is calculated by combination.

Twenty-three people attend a party. each person shakes hands with at most 22 other people.

To find the maximum possible number of handshakes, assuming that any two people can shake hands at most once, we need to use Combination by finding the number of unique pairs of people in the party.

nCr (combination) to find the number of unique pairs of people.

Therefore,\(^nC_r = \frac{n!}{(n-r)!  r!}\)

where n is the total number of people and r is the number of people in a handshake at a time.

Therefore, the number of unique pairs of people that can shake hands at most once is:

\(^{23}C_2 = \frac{23!}{(23-2)!  (2!)}\) \(=\frac{23 X22}{2} = 253\)

Hence, the maximum possible number of handshakes that can happen at the party is 253.

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The measure of angle 1 is 67.4°. The measure of angle 2 is 104.5°.

An angle is the measure of the amount of rotation between two lines or two planes that meet at a point. It is typically measured in degrees or radians. An angle can be acute, meaning it is less than 90 degrees, right, meaning it is exactly 90 degrees, obtuse, meaning it is greater than 90 degrees but less than 180 degrees, or straight, meaning it is exactly 180 degrees. An angle can also be positive or negative, depending on the direction of rotation between the lines or planes. Angles are used in various fields such as mathematics, engineering, physics, and geometry.

Here,

180-121.8=58.2°

180-(58.2+17.3)=104.5°

180-104.5=75.5°

180-(75.5+37.1)=67.4°

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A=68,B=44

the interior angle of triangle is 180

A+B+C=180

x+x-24+68=180

2x+44=180

2x=180-44

2x=136

x=68

A=x=68

B=68-24=44

Answer:

yx6

Step-by-step explanation:

There are approximately 2.68 × 10^22 atoms of aluminum in 4 square centimeters of aluminum foil.

The density of aluminum foil used for storing food is given as 0.3 grams per square centimeter. To find the number of atoms of aluminum in 4 square centimeters of the foil, we can follow these steps:

1. Calculate the mass of aluminum in 4 square centimeters of foil:

Mass = Density × Area

Mass = 0.3 g/cm² × 4 cm²

Mass = 1.2 grams

2. Convert the mass of aluminum to moles:

Moles = Mass ÷ Molar mass

The molar mass of aluminum is 26.98 grams per mole.

Moles = 1.2 g ÷ 26.98 g/mol

Moles ≈ 0.0445 moles

3. Determine the number of atoms in the calculated moles:

Avogadro's number tells us that there are approximately 6.022 × 10^23 atoms in one mole.

Number of atoms = Moles × Avogadro's number

Number of atoms ≈ 0.0445 moles × 6.022 × 10^23 atoms/mole

Number of atoms ≈ 2.68 × 10^22 atoms

Therefore, there are approximately 2.68 × 10^22 atoms of aluminum in 4 square centimeters of aluminum foil.

In summary, by multiplying the density by the area, we found the mass of aluminum in 4 square centimeters of foil. Then, by dividing the mass by the molar mass, we obtained the number of moles. Finally, by multiplying the moles by Avogadro's number, we determined the number of atoms of aluminum in the given area.

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A senator wants to know what her constituents think of a proposed health bill.  In this scenario, the population would be all of the constituents of the senator.  The sample would be the 222 letters that were received on the subject.

Generally, In statistics, a population is the entire group of individuals or items that you want to study.

A sample is a smaller group of individuals or items that is selected from the population to represent the larger group. The sample is used to make inferences about the population.

For example, let's say you want to study the political opinions of all the registered voters in your city. The population in this case would be all the registered voters in your city.

However, it might not be practical or possible to survey every single registered voter, so you might instead select a sample of registered voters to survey. This sample would be used to make inferences about the political opinions of the larger population of registered voters in your city.

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