You can model the population of a certain city between 1955-2000 by the radical function P(x)=55,000 sqrt x-1945. Using this model, in which year was the population of that city 275,000

The probability of rolling a number less than 5 is 42/60

It is given by the quotient between the number of times that we got a given outcome and the total times that the experiment was performed.

Here we want to find the experimental probability of landing on a number less than 5 (these are 1, 2, 3, 4)

Outcome Frequency

1                  12

2                 13

3                   11

4                   6

These are the tables, adding these we get:

12 + 13 + 11 + 6 = 42

So in 42 out of 60 tosses we got a number less than 5, then the experimental probability is:

42/60

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According to the consecutive interior angles theorem, when two lines are parallel, the consecutive interior angles are supplementary to each other.

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Answer:

f= 68

g= 88

h= 100

i= 114

Step-by-step explanation:

Answer:

The answer is B. 5 1/4 twisties

Sampling randomly is considered a statistically valid reason for choosing subjects for a study as it reduces the risk of sampling bias. The correct option is a.

Sampling bias refers to a systematic error that occurs in the process of selecting subjects for a study, leading to a sample that is not representative of the population.

By selecting subjects randomly, researchers aim to eliminate any preconceived biases or preferences that may influence the selection process. This leads to a sample that is more representative of the population, providing a more accurate representation of the population's characteristics.

Furthermore, random sampling (with a large sample) has the potential to give a perfect reflection of the population, assuming that the sample size is large enough. This is because, as the sample size increases, the sample becomes more representative of the population and tends to exhibit the same characteristics and distributions as the population.

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The volume of the cylinder 1 = 25.12 cubic centimeters.

The volume of the cylinder 2 = 100.48 cubic centimeters.

The volume of the cylinder 3 = 226.08 cubic centimeters.

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

Given:

3 cylinders have a height of 8 cm cylinder one has a radius of 1 cm cylinder 2 has the radius of 2 cm cylinder 3 has a radius of 3 cm.

The volume of the cylinder 1,

= πr²h

= (3.14)(1)(8)

= 25.12 cubic centimeters.

The volume of the cylinder 2,

= πr²h

= (3.14)(4)(8)

= 100.48 cubic centimeters.

The volume of the cylinder 3,

= πr²h

= (3.14)(9)(8)

= 226.08 cubic centimeters.

Therefore, the volume of each cylinder is given above.

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The number of tables with a seating of 4 people is 13.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Beatriz is in charge of setting up a banquet hall. She has five tables that will seat six people each. If no more than 62 people.

The number of the tables will be calculated as:-

Number = 62 / 4

Number = 13

Hence, the number of tables with a seating of 4 people is 13.

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Answer:

276.46 in^3

Step-by-step explanation:

See the attached worksheet.  The pencil balloon if formed by a cylinder and cone.  Use the volume formulas for each of these shapes to calculate that shape's contribution to the total volume, and then add them.

The volume of the cylinder portion is 263.9 in^3.

The volume of the cone portion is 12.56 in^3

The sum is 276.46 in^3, which matches the first answer option.

Answer:

276.46 cubic inches

Step-by-step explanation:

Volume of the cylindrical part = πr²h, r= radius, h = height

Volume of a cone  (1/3) πr²h,  r= radius, h = height

For given dimensions

cylinder h = 21, cylinder r = 2

Volume of cylindrical part of balloon = π · 2² · 21 = 4 · 21 · π = 84π cubic inches

Volume of conical part of balloon = (1/3) π · 2² · 3 = 4π

Total volume = 84π + 4π = 88π = 276.46 cubic inches

The slope-intercept equation of the line that includes the points (1, 1) and (2, 8) is y = 7x - 6.

In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

Next, we would determine the linear equation representing the line which passes through the points (1, 1) and (2, 8) by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 1 = (8 - 1)/(2 - 1)(x - 1)

y - 1 = 7(x - 1)

y = 7x - 7 + 1

y = 7x - 6

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Answer:

well if 4 is x and y is -6 but =2 then it's 8

Step-by-step explanation:

hope u have a good day

Answer:

1

Step-by-step explanation:

You can think of this problem this way:

[tex]0.4*2.5=\frac{2}{5}*\frac{5}{2}=\frac{10}{10}=1[/tex]

Answer: 1

Step-by-step explanation:

there are two decimal places in total, keep that in mind

multiply everything by 10 to make whole numbers and multiply

4x25=100 because 4x5=20 and 4x20=4x10x2=80 and 20+80=100

remember those two decimals we counted, take that number, and move the decimal place over that many in your answer. 100 becomes 1

why not just use a calculator lol, you have internet access

The sample standard deviation is A. 5.9

What is Standard Deviation ?

It is a measure of how evenly distributed numbers are. It is the square root of the Variance, which is the average of the squared deviations from the Mean.

To find the sample standard deviation, first, we have to find the mean of the data, then subtract each data point from the mean, square each deviation, sum them, divide by the sample size minus 1, and then take the square root of the result.

Here's the calculation:

Mean = (1 + 5 + 12 + 16 + 15 + 12 + 19 + 5 + 10) / 9 = 11

Deviations = [-10, -6, 1, 5, 4, 1, 8, -6, -1]

Squared deviations = [100, 36, 1, 25, 16, 1, 64, 36, 1]

Sum of Squared deviations = 239

Sample Variance = Sum of Squared deviations / (Sample size - 1) = 239 / (9 - 1) = 239 / 8 = 29.875

[tex]Sample \ Standard\ Deviation=\sqrt{(Sample Variance)} \\\\Sample \ Standard\ Deviation=\sqrt{29.875}\\\\ Sample \ Standard\ Deviation= 5.9[/tex]

So, The sample standard deviation is 5.9 (rounded to one decimal place).

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The price a customer pays for a printer which the company bought for $1700 is $2125 and the price the company paid for a printer which was sold to a customer for $2500 is $2000.

percentage, a relative value indicating hundredth parts of any quantity.

Given that a company sells its printers to customers in order to make a profit of 25%.

We have to find the price a customer pays for a printer which the company bought for $1700.

x-1700/1700=25%

x-1700=425

Add 1700 on both sides

x=$2125.

We need to find the price the company paid for a printer which was sold to a customer for $2500

2500-x/2500=25%

x=2000

Hence, the price a customer pays for a printer which the company bought for $1700 is $2125 and the price the company paid for a printer which was sold to a customer for $2500 is $2000.

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f(x) = ax2 + bx + c, where a, b, and c are real values and a = 0, is a quadratic function. A quadratic function's domain is (,). The graph of the simplest quadratic function, f(x) = x2, is shown below. Its shape, a parabola, should be recognizable from Intermediate Algebra.

To find the time at which the ball hits the ground, we need to find the value of t when h(t) = 0.

Solving -16.1t^2 + 150 = 0 gives us:

-16.1t^2 = -150

t^2 = 9.37

t = 3.05 (rounded to the nearest hundredth)

So the ball hits the ground after 3.05 seconds.

The complete question is:-

The quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15 story building.

- From what height, in feet, was the ball dropped?

-After how many seconds, rounded to the nearest hundredth, did the ball hit the ground?

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The solution to the system of equations ordered pair is (-1, 4).

A simultaneous equation is any one or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is a simultaneous equation.the solution to the system of equations {y=7x+1 , y=−3x+1

Given:

a collection of equations

Equation 1 is y = 7x + 11.

Equation 2: y = 3x + 1.

Equation 1's y value is changed to equation 2's value.

7x + 11 = -3x + 1

10x = -10

x = -1

And y = 4

Consequently, the answer is (-1, 4).

The solution to the system of equations ordered pair is (-1, 4).

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The diagonals of a square are both congruent and perpendicular.

Because a square is a regular quadrilateral with four equal sides and four equal angles, it is a quadrilateral. A rectangle with two adjacent sides of equal length can also be used to describe it. A chess board, dice, tiles, napkins, etc. are a few examples.

The perpendicular bisectors of a square's diagonals are one another. Each diagonal is divided into two congruent parts as a result, and their intersection creates four right angles. As a result, if a diagonal is given, its length, one segment's length is equal to half of the diagonal's overall length. They are also divided at a 90-degree angle, making them perpendicular, and they are similar in length. 

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The amount of raw materials in Entry (5), which would raise the raw materials balance from $15,000 to $25,000, might cost $85,000.

Entry (5) can refer to a $85,000 purchase of raw materials. The raw materials balance would rise from $15,000 to $25,000 as a result. The raw materials account's balance is shown in the t-account above both before and after the entry. The raw materials balance was $15,000 prior to this entry. The raw materials balance is now $25,000, an increase of $10,000 after this input. This increase is attributable to the $85,000 purchase of raw materials. This transaction is documented in entry (5), which represents a $85,000 debit to the account for raw materials. The raw materials account now has a balance of $25,000 instead of just $15,000. This is how entry (5) may describe a $85,000 purchase of raw materials.

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The cost of transporting 17 tons of sugar is $8750.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

here, we have,

It will cost $4500 to rent trucks,

and it will cost an additional $250 for each ton of sugar transported.

we know,

Multiplication and division do not separate the terms of an equation.

now,

The given information can be related as,

C = 250S + 4500.

Now, when tons of sugar is 17 we'll simply replace S with 17.

∴ C = 250(17) + 4500.

C = 4250 + 4500.

C = 8750.

Hence, The cost of transporting 17 tons of sugar is $8750.

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Answer:

no picture is added ill help you if you add it

Step-by-step explanation:

Answer:

Add a picture than I'll tell you if (b) is correct or not :)

Step-by-step explanation:

5.385 is the length of each line segment according to the Pythagoras theorem and distance formula.

The basic Geometric mathematical relationship between one right triangle's three sides is termed as the Pythagorean Theorem, or simply the Pythagorean Theorem. This rule states that the areas with squares with the two parts added together equal the area of the square well with hypotenuse side. The Pythagorean Theorem says that the square that crosses the tangent of a right angled triangle opposite the right angle equals the total of the squares that span the sides of something like a right triangle. It is sometimes written as the generic geometric notation a2 + b2 = c2.

given

A2 + B2 = C2 is a Pythagorean theorem.

Let C be the point (-2,1)

A two-unit line segment AC would be required.

The length of line segment BC would be 5 units.

Incorporate the line segment length into the Pythagorean theorem by adding

2^2 + 562

= 4 + 25

= 29

≅5.385.

5.385 is the length of each line segment according to the Pythagoras theorem and distance formula.

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Answer:

ab means a multiplied by b, a(b+c) means add b and c together, then multiply by a, and (a+b)(c+d) means first add a and b

Step-by-step explanation:

ab means product, a(b+c) means product of a and sum of b & c and (a+b)(c+d) product of sum of a & b and c & d.

The result of multiplying two or more numbers together is the sum. The product of two or more numbers is what results from multiplication.

In mathematics, "ab" typically represents the product of two numbers, a and b.

"a(b+c)" represents the product of a and the sum of b and c, where a, b, and c are numbers.

"(a+b) (c+d)" represents the product of the sums of a and b and the sums of c and d.

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The equation in x and y whose graph is the path of the particle is y = (x - 4)2 + 5. The velocity vector at t= 4 is v(4) = i + 8j.

A vector in mathematics is a quantity that not only expresses magnitude but also motion or position of an object in relation to another point or object. Euclidean vector, geometric vector, and spatial vector are other names for it.

In mathematics, a vector's magnitude is defined as the length of a segment of a directed line, and the vector's direction is indicated by the angle at which the vector is inclined.

Given r(t) as r(t) = x(t)i + y(t)j

Thus, this means that:

x = t+ 4         y = t2 + 5      

We see that we can solve t as:            

t = x - 4, thus:

y = (x - 4)2 + 5

v(t) is given by r'(t).

r'(t) = v(t) = i + 2tj                      

at t = 4:

v(4) = i + 8j

The acceleration is given by:  r"(t).

a(t) = r"(t) = 0i + 2j

The acceleration at t = 4 is:

a(4) = 0i + 2j

Hence, the equation in x and y whose graph is the path of the particle is y = (x - 4)2 + 5. The velocity vector at t= 4 is v(4) = i + 8j.

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The area of the base of this prism is 2. 5 square inches

It Is important to note the properties of a triangular prism, they include;

From the information given, we have that;

Base area = 1/2 base × height

Substitute the values, we get

Base area = 1/2 × 5 × 1

Multiply the values

Base area = 2. 5 square inches

Hence, the value is 2. 5 square inches

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Answer:

Below

Step-by-step explanation:

68 x 157 = 10 676      to the nearest 100 would be 10700 ....the '7' next to the 6 in the 100s place dictates that you round the 6 UP to 7

The pair of numbers that have a sum of 50 and will produce the largest possible product is 10 and 40, with a product of 400. This was determined by comparing the products of each pair and determining which is the largest.

a. The product of the first pair of numbers is 1 x 49 = 49, the product of the second pair of numbers is 2 x 48 = 96, and the product of the third pair of numbers is 10 x 40 = 400.

b. The pair of numbers that have a sum of 50 and will produce the largest possible product is 10 and 40.

c. To determine which pair of numbers have the largest product, we need to compare the products of each pair and determine which is the largest. In this case, the pair of 10 and 40 have the largest product of 400.The pair of numbers that have a sum of 50 and will produce the largest possible product is 10 and 40, with a product of 400. This was determined by comparing the products of each pair and determining which is the largest.

The complete question is :

What are a few pairs of positive numbers whose sum is 50 and which have the largest possible product?

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Answer:

5a + 45

Step-by-step explanation:

5(a+9)

5a + 45

The vertical profiles for pressure, density, as well as temperature with in troposphere are displayed in an x-y graph.

Pressure altitude is temperature-adjusted density altitude.

Pressure and temperature have a direct and indirect relationship with density.

Thus, the vertical profiles for pressure, density, as well as temperature with in troposphere are displayed in an x-y graph.

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2x＝ 3 -5√x using log form, x = log(2x + 5√x) = log(3)

To convert the equation 2x = 3 - 5√x into logarithmic form, we need to isolate the radical expression on one side of the equation. We can do this by adding 5√x to both sides:

2x + 5√x = 3

Next, we'll take the square root of both sides to eliminate the radical:

√(2x + 5√x)^2 = √(3^2)

Expanding the left side and simplifying:

2x + 5√x = 3

Finally, we'll take the logarithm of both sides to get x in logarithmic form:

log(2x + 5√x) = log(3)

To solve for x, we'll need to use logarithmic properties and/or exponential functions to isolate x on one side of the equation. log(2x + 5√x) = log(3)

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