1. set of whole numbers
infinite or finite
2. Set of all odd number less than 15
finite or infinite
3. The set of all vowels on the alphabet
finite or infinite
4. The set of all vowels in the English alphabet
Infinite or finite.​

Answer:

x = 209.2

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, or the area to the left of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X, which is the area to the right of X.

Mean of 185 and a standard deviation of 20.

This means that \(\mu = 185, \sigma = 20\)

Find the value of x so that the area under the normal curve to the left of x is approximately 0.8869.

This is X when Z has a p-value of 0.8869, so X when Z = 1.21.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.21 = \frac{X - 185}{20}\)

\(X - 185 = 20*1.21\)

\(X = 209.2\)

So

x = 209.2

\( \sf \hookrightarrow \: {(BC)}^{2} + {(AC)}^{2} = {(AB)}^{2} \)

\( \sf \hookrightarrow \: {a}^{2} + {b}^{2} = {c}^{2} \)

\( \sf \hookrightarrow \: {a}^{2} + {(1.98)}^{2} = {(4.63)}^{2} \)

\( \sf \hookrightarrow \: {a}^{2} + (1.98 \times 1.98)= (4.63 \times 4.63) \)

\( \sf \hookrightarrow \: {a}^{2} + (3.9204)= (21.4369)\)

\( \sf \hookrightarrow \: {a}^{2}= (21.4369) - (3.9204)\)

\( \sf \hookrightarrow \: {a}^{2}= 17.5165\)

\( \sf \hookrightarrow \: a= \sqrt{ 17.5165}\)

\( \sf \hookrightarrow \: a= 4.18. Approx\)

Answer: To solve the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's label the sides of the triangle as follows:

The length of the hypotenuse is c = 4.63.

One of the legs is b = 1.98.

Using the Pythagorean theorem, we can find the length of the other leg, which we'll label as a:

a^2 + b^2 = c^2

a^2 + (1.98)^2 = (4.63)^2

a^2 + 3.9204 = 21.4369

a^2 = 21.4369 - 3.9204

a^2 = 17.5165

Taking the square root of both sides, we find:

a ≈ √17.5165

a ≈ 4.1833

So, the length of the other leg (side a) is approximately 4.1833.

Therefore, the sides of the right triangle are approximately:

Side a ≈ 4.1833

Side b = 1.98

Side c = 4.63

Step-by-step explanation:

Answer:

  f(x) = (x +6)(x -5)  or  f(x) = x² +x -30

Step-by-step explanation:

You want a quadratic function whose zeros are -6 and +5.

If p is a zero of the polynomial f(x), then (x-p) is a factor. The two given zeros meant that the factors are ...

  f(x) = (x -(-6))·(x -5)

  f(x) = (x +6)(x -5) . . . . . . . . simplify a bit

This can be put in standard form by multiplying the factors:

  f(x) = x(x -5) +6(x -5) = x² -5x +6x -30

  f(x) = x² +x -30 . . . . . . . . simplified quadratic function

The quadratic function of the zeros is f(x) = \(x^2+x-30\).

What is quadratic function?

A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. A polynomial of degree 2 is referred to as such because the greatest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. It is a mathematical function.

Here the zeros of the function is -6 and 5.

We know that if zeros of the function is a then the factor is (x-a).

Then,

=> f(x) = (x-(-6))(x-5)

=> f(x) = (x+6)(x-5)

=> f(x) = \(x^2+6x-5x-30\)

=> f(x) = \(x^2+x-30\)

Hence the quadradic function is f(x) = \(x^2+x-30\).

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Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

Answer: \(C. \frac{125}{7}\)

Step-by-step explanation:

1. Find the sum of the infinite geometric sequence:

\(S = \frac{125}{7}\)

2. Find the correct option:

C

The buildings that represent the influence of ancient Greek culture are -

Given are the buildings from Ancient Greek Culture.

The buildings that represent the influence of ancient Greek culture are -

Therefore, the buildings that represent the influence of ancient Greek culture are -

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Answer:

The percent increased by 10

Step-by-step explanation:

Sorry if this is wrong

P205/75R14

Where:

P = passenger tire

205 = tire's width in millimeters

75 = Tire's aspect ratio (height to width) = 0.75 (decimal form)

14 = Diameter of the tire's rim (inches)

So to find the circumference of the new tires:

P205/75R14

Circumference (C)= π x diameter

First, we have to find the Height of the tire:

aspect ratio = height / tire's width

Height = aspect ratio x tire's width

Height = 0.75 x 205 = 153.75 mm

Convert mm into inches;

153.75/25.4 = 6.053 inches

Diameter= Diameter of the rim + 2 ( height of the tire)

D = 14+ 2(6.053) = 26.10 inches

C = π x d = π x 26.10 = 82 inches (circumference of the new tires)

To answer the second part of the question we have to calculate the circumference of the factory-installed tires:

• Factory-installed tires:,P185/75R14

185 = tire's width in millimeters

75 = Tire's aspect ratio (height to width) = 0.75 (decimal form)

14 = Diameter of the tire's rim (inches)

Height of the factory-installed tires:

Height = 0.75 x 185 = 138.75 mm

138.75/25.4 = 5.462 inches

Diameter = 14+ 2(5.462) = 24.92 inches

C = π x d = π x 24.92 = 78.305 inches (circumference of the factory-installed tires)

• Now we have both circumferences:

82 inches (circumference of the new tires)

78.305 inches (circumference of the factory-installed tires)

k =New circumference / factory circumference = 82 / 78.305 = 1.05

After one rotation of the wheel, the newly installed tires will travel 1.05 times further than the factory-installed ones.

So, if the odometer is reading 60 miles per hour, the actual speed is :

60 x k = 60 x 1.05 = 63 miles per hour

The output value of (f∘g)(x) is:  \((f \circ g)(x) = \frac{4x^2-29x+60}{x +3}\)

The domain of (f∘g)(x) is (-∞, -3) U (-3, ∞).

In this scenario, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations (multiplication) in simplified form as follows;

\(f(x) = \frac{x-6}{x +3}\)

g(x) = 4x - 15

Next, we would write the numerators and denominators in factored form as follows;

(x - 6)(4x - 15)

4x² - 15x - 24x + 60

4x² - 29x + 60

Now, we can derive the corresponding composite function of f(x) and g(x);

\((f \circ g)(x) = \frac{4x^2-29x+60}{x +3}\)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

x + 3 ≠ 0

x ≠ -3

Domain = (-∞, -3) U (-3, ∞).

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Answer:

Step-by-step explanation:

y = 2/5 of x

y = 2x/5

5y = 2x

5:2

Answer:2x34=344343

Step-by-step explanation:32323=23=232

The volume of the rectangular prism is 400 cubic centimeters which we can calculate using formula: Volume = L * W * H

The volume of rectangular prism can be computed by simply multiplying their dimensions. If the rectangular prism was built with cubes that each have a volume of one cubic centimeter, then the volume of the rectangular prism can be calculated by multiplying the number of cubes in each dimension.

Let's assume that the rectangular prism has a length of "L" cubes, a width of "W" cubes, and a height of "H" cubes. Then, the volume of the rectangular prism can be calculated as follows:

Volume = L * W * H

Each cube has a volume of one cubic centimeter, so the volume of the rectangular prism is equal to the number of cubes it contains. In other words, if the rectangular prism has 10 cubes along its length, 5 cubes along its width, and 8 cubes along its height, then its volume would be:

Volume = 10 * 5 * 8 = 400 cubic centimeters

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3,3

Pretty simple.

1 x 3 = 3

The graph of the direct proportion y = kx for k=1 is shown in figure.

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The direct proportion is defined as,

⇒ y = kx

Now, The equation for k = 1 is,

⇒ y = kx

⇒ y = 1x

⇒ y = x

Clearly, It represent the straight line.

Hence, The graph of y = x is shown in figure.

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Answer:

c

Step-by-step explanation:

Answer:

c+3d+3

Step-by-step explanation:

Answer:

100 inches

Step-by-step explanation:

Given

20 inch ≈ 0.5 m

Required

Determine the equivalent of 2.5m in inches

The question illustrated conversion between units of same measurements.

And we have that:.

20 in ≈ 0.5 m

Which can be rewritten as:

0.5 m ≈ 20 in

To solve further, we multiply both sides by 5

0.5 m * 5 = 20 in * 5

2.5 m ≈ 100 in

Hence, we can conclude that the 2.5m rope is approximately 100 inches long

The 2.5m rope is approximately 100 inches long

We have to given that,

20 inch ≈ 0.5 m

And, To Determine the equivalent of 2.5m in inches.

Since, It is illustrated conversion between units of same measurements.

And we have that;

20 in ≈ 0.5 m

Which can be rewritten as:

0.5 m ≈ 20 in

we multiply both sides by 5

0.5 m x 5 = 20 in x 5

2.5 m ≈ 100 in

Hence, we can conclude that the 2.5m rope is approximately 100 inches long.

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Assume the mean useful life of a coat of paint from Sherwin-Williams is is 23,000 hours of sunlight .The useful life of a coat of paint from Sherwin-Williams within one standard deviation of the mean is: B. 18,000 and 28,000 hours.

The useful life of a coat of paint from Sherwin-Williams within one standard deviation of the mean would be :

18,000 hours calculated as  (23,000 - 5,000) and 28,000 hours calculated as (23,000 + 5,000) of sunlight.

The reason is  in normal distribution, approximately 68% of the data falls within one standard deviation of the mean.

Therefore the correct option is B.

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Answer:

No, but it is a Rhombus.

Step-by-step explanation:

Hope this Helps.

\(\\\\\\\)

Therefore

\(\sf{ }\)

\(\sf{ }\)

\(\sf{ }\)

\(\sf{ }\) \(\sf{ }\) \(\sf{ }\) \(\sf{ }\) \(\sf{ }\)

Answer:

-8x² -6x + 35

Step-by-step explanation:

A expression is given to us and we need to find out the quadratic equation . For that Multiply the two terms of the quadratic equation. The given expression is ,

Given expression :-

\(\rm\implies ( 2x +5)( 7 - 4x ) \)

Multiply the terms :-

\(\rm\implies 2x ( 7 - 4x )+5(7-4x) \)

Simplifying the brackets :-

\(\rm\implies 14x - 8x^2 + 35 - 20x \)

Rearrange and simplify :-

\(\rm\implies -8x^2 -6x + 35 \)

Therefore :-

\(\rm\implies\boxed{ \rm Quadratic\ Equation \ = -8x^2 -6x + 35} \)

Answer:

Step-by-step explanation:

[-5/13] 3/5 +12+13 [-4/5 = - 63/65

Since 25 tennis players played a tournament in one round (each played with each exactly 1 time), and among any five players, there is a player who won from all the other four, and a player who lost to all the other four, To prove that if tennis player A won from tennis player B, and tennis player B won from tennis player C, then tennis player A won from tennis player C, the following mathematical logical reasoning must be performed:

Given that in every group of 5 players, there will be one who won 4 matches and another who lost 4 matches, and as there is no tie in tennis, the following results may occur:

Thus, the given relationship is demonstrated, with which the proposal is correct.

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The solution to the above equation is exactly one solution. The solution set is (-1, 4)

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Given the equations:

x + y = 3   (1)

and:

x - y = -5   (2)

From both equations:

x = -1, y = 4

The solution to the above equation is exactly one solution. The solution set is (-1, 4)

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The value of n in \(^nC_3=120\) is 10 .

It is given that \(^nC_3=120\)

Using equation (1) , we get

   \(\frac{n!}{3!(n-3)!} =120\\\ \\\frac{n(n-1)(n-2)(n-3)!}{3\times2(n-3)!} =120\\\\\n(n-1)(n-2)=720\\\)            ....(2)

Prime factorization of 720 is given by

  \(720=2^4\times3^2\times5\\720=10\times9\times8\)

720 can be written as \(10(10-1)(10-2)\)

Putting above value in equation (2) , we get

 \(n(n-1)(n-2)=10(10-1)(10-2)\)

On comparing LHS = RHS we get

  n = 10

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Answer:

Step-by-step explanation:

Answer:

y =x/2 + 6

Step-by-step explanation:

the line crosses y axis at 6 and x at -12

so the equation will be y =x/2 + 6

Answer:

y=x/2+6 is the answer to tell question

The expression can be rewritten by given term as;  3^15

We need to simplify the expression below:

(3^2 x 3^3)^3

Remember that we can add these exponents, so we get:

(9 x 9)^3 = 81^3

Then we can rewrite this as:

531441

Takin the product between the exponents we will get:

(3^5)^3

Thus, the solution is 3^15

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The option that is an equivalent expression of 15x² +12x + 8 is C. 12x + 15x² + 8.

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same values for the variable, two algebraic expressions that are equivalent have the same values.

If two systems of equations have the same solution, they are equivalents. In algebra, 2(2x - 3y + 6) is equal to 4x -6y + 12 as an example of an equivalent expression.

In this case, it should be noted that 15x² +12x + 8 is the same as 12x + 15x² + 8. Therefore, the correct option is C.

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so what was the question again?

Answer:

Step-by-step explanation:

Answer:

True

100cm = 1m  ✔️

Step-by-step explanation:

The cm (centimeters) has the key word unit cent in it, which means 100. Like how a century is 100 years, 100 cents are in a dollar, there is 100 percent in 1 whole number, etc.

Based on background knowledge (or from searching it up too), every meter has a hundred centimeters, since the unit cent means 100.

Hence,

100 centimeters does equal 1 meter