Suppose the sample mean CO2 level is 418 ppm. Is there any evidence to suggest that the population mean CO2 level has increased

Answer:

the number is 11

Step-by-step explanation:

"Diminished" is another word for subtraction, so our equation is : 9x - 4 = 95

Add 4 on each side: 9x = 99

Divide each side by 9: x = 11

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Answer:

Step-by-step explanation:

Let a number be X

So

Nine times a number, diminished by 4, is 95

9x-4=95

9x=95+4

9x=99

X=99/9

X=11

So the number is 11

A circle has central angle 144° and arc length of 4 units. The area of the corresponding sector is 7.96 square units.

A sector of a circle is an area enclosed by two radii and an arc. The formula for the area of a sector is given by:

Area of sector = (central angle/360°) x πr²

Hence, we must find the radius of the circle first using the arc length information.

Arc length = (central angle/360°) x 2πr

4 =  (144°/360°) x 2πr

r = 4 x 360°/(144° x 2π)

 = 1.59 units

The area of the circle is given by:

A = πr²

   = = π(1.59²) = 7.96 square units

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A schematic diagram is used to describe the wiring details of a specific piece of equipment.

A schematic diagram is a graphical representation that depicts the electrical connections, components, and circuitry of a system or device.

It provides a simplified and standardized visual representation of the wiring and electrical connections, allowing engineers, technicians, or users to understand the internal workings of the equipment.

In a schematic diagram, different symbols and lines are used to represent various electrical components such as resistors, capacitors, switches, transformers, and wires.

The connections between these components are illustrated using lines that indicate the flow of electrical current.

Schematic diagrams are widely used in various fields, including electronics, electrical engineering, telecommunications, and industrial automation.

They are essential for designing, troubleshooting, and repairing equipment as they provide a clear and concise representation of the electrical connections and functionalities.

Overall, schematic diagrams serve as a vital tool for understanding the wiring details of a specific piece of equipment, enabling efficient analysis, troubleshooting, and communication of electrical systems.

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The given statement: When a construction company bids on a contract, the events will be win or lose. The closer the probability is to 0.50, the greater the uncertainty about whether the company will win or lose the bid is TRUE.

When the probability of winning a contract is closer to 0.50, it indicates that there is a greater level of uncertainty about whether the company will win or lose the bid.

A probability of 0.50 means that the chance of winning or losing is equal, and there is no clear indication of what the outcome will be. In such cases, the construction company may have to make a difficult decision on whether to bid on the contract or not, considering the level of uncertainty involved.

On the other hand, if the probability of winning is much higher or much lower than 0.50, the company can have a more confident expectation of whether they will win or lose the bid. Thus, the closer the probability is to 0.50, the more uncertain the outcome of the bid will be.

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The probability that a sample of 120 female graduates will = 0.8905

what is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

= |y -µ| ≥ 0.60

z = y -µ /σ√n

= 0.60/4.10√120

= 0.60/0.3742770

=1.60

Pr ( y -µy) ≤ 0.60 = P |z|≤1.60

=P ( -1.60≤ Z≤ -1.60)

=P (Z ≤ 1.60) -P ( Z≤ -1.60)

= 0.9452 - 0.0547 using z table

= 0.8905

Female graduates

mean = 27.83

sd = 4.10

sample = 120

µx = 27.83

σx = σ/√n

= 4.10/√120

a) P (X bar > 27.83)

= P (X bar -µx)/ σx > 27.83-27.83/4.10/√120

= P ( z > -1.60)

= 0.9452

For men

Mean=µ=37.39

Sd=σ=4.60 ,n=50

Probability that sample mean within $1.00 of the population mean

u-1=37.39-1=36.39

u+1=37.39+1=38.39

P = (36.39 <X bar < 38.39)

= P \(\frac{36.39-37.39 }{4.60/\sqrt{60} } < \frac{X bar - µ}{σ/\sqrt{n} } < \frac{39.39-37.39}{4.60/\sqrt{60} }\)

= P ( -1.6839 < Z <1.6839

= P ( -1.68 < Z <1.68)

= P (Z < 1.68) - P(Z < -1.68)

= 0.9535- 0.0465

= 0.9070

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A line graph is used when an independent variable is a continuous quantitative variable. A line graph is a type of chart used to represent data over time with the help of lines connecting various data points.

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Answer:

x = 5

y = 3

Step-by-step explanation:

x + 4y = 17

2x + 5y = 25

We multiply the first equation by -2

-2x - 8y = -34

2x + 5y = 25

-3y = -9

y = 3

Now we put 3 in for y and solve for x

x + 4(3) = 17

x + 12 = 17

x = 5

Let's Check the answer

5 + 4(3) = 17

5 + 12 = 17

17 = 17

So, x = 17 and y = 3 is the correct answer.

Step-by-step explanation:

slope is 4, y-intercept is (0,5)

The graph of function f(x) = 4[x] + 5 described below

The given function is

f(x) = 4[x] + 5

Here [ ]  represents greatest integer function

We know that

The greatest integer function is one that returns an integer that is closer to the provided actual value.

It is also known as the step function.

The biggest integer function returns the nearest integer to the provided number.

As a result, the formula for finding the biggest integer is rather straightforward.

It is denoted by the symbol [x], where x can be any value.

Now plotting the graph of function.

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Answer:

Area=88in squared

Step-by-step explanation:

Answer 128 to the second  power

explanation:

its 128 to the second power because if you multiply 16*8 and you will get 128to the second power

The distance between the two given points coordinates is; Option C: √85

Formula for the distance between two coordinates is;

d = √((x₂ - x₁)² + (y₂ - y₁)²)

We are given the coordinates as;

(-2, 3) and (5, -3). Thus;

d = √((-2 - 5)² + (-3 - 3)²)

d = √(49 + 36)

d = √85

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C. True, because to use the Law of Sines, at least two sides must be known.

The Law of Sines is a trigonometric rule that relates the sides and angles of any triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.

To use the Law of Sines, at least two sides and the angle opposite one of them (or two angles and one side) must be known.

Therefore, the statement "The Law of Sines can be used to solve triangles where three sides are known" is false, as it is not necessary to use the Law of Sines to solve a triangle where all three sides are known.

In summary, the correct answer is C. True, because to use the Law of Sines, at least two sides must be known.

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Answer:

x = 19

<B = 125°

Step-by-step explanation:

The sum f angle <D and angle <A is equal to 180° because these angles are supplementary

75° + 5x + 10 = 180° add like terms

85 + 5x = 180 subtract 85 from both sides

5x = 95 divide both sides by 5

x = 19

Same rule goes for angle <C and angle <B

<B + 55° = 180 subtract 55 from both sides

<B = 125°

Based on the use of substitution, The answer will be: (x, y) = (1, -2)

3x - 4y = 11

y + 3x = 1

Step 1: Solve one of the equations for one of the variables.

Let's solve the second equation for y:

y = -3x + 1

Step 2: Substitute this expression for y into the first equation:

3x - 4(-3x + 1) = 11

3x - (-12x + 4) = 11

3x + 12x = 15

15x = 15

x = 1

Step 3: Substitute this value of x back into one of the original equations to find the value of y:

y = -3(1) + 1 = -2

The solution is (x, y) = (1, -2)

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See transcribed text below

Solve the system using substitution.

3x-4y = 11 y + 3x = 1

([?], [_])

Enter

The polynomial is  4x^3 - 18x^2 + 2x + 12

A polynomial of degree 3 that satisfies, we need to use the fact that if a polynomial has a zero at x = a, then (x - a) is a factor of the polynomial. So, for the given zeroes, we have the factors (x + 1/2), (x - 2), and (x - 3).

Multiplying these factors together, we get:

(x + 1/2)(x - 2)(x - 3) = (x^2 - (3/2)x - 1)(x - 3) = x^3 - (9/2)x^2 + (1/2)x + 3

To get a constant coefficient of 12, we need to multiply this polynomial by a constant. Since the current constant coefficient is 3, we need to multiply by 4:

4(x^3 - (9/2)x^2 + (1/2)x + 3) = 4x^3 - 18x^2 + 2x + 12

So, the polynomial that satisfies the given conditions is:

P(x) = 4x^3 - 18x^2 + 2x + 12

The polynomial is  4x^3 - 18x^2 + 2x + 12

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Answer:

8000

Step-by-step explanation:

80 i think............

I am sure that its 3.

To guarantee the selection of at least 8 balls of the same color, we have to choose a minimum of 33 balls from among 21 red balls, 22 green balls, 23 yellow balls, and 24 blue balls.

Here's how this conclusion can be made:

Let's assume that no more than seven balls of any one color are picked.

We'll see how many balls are picked in this situation:

7 red balls are selected in 21C7 ways (since there are 21 red balls to select from).

7 green balls are selected in 22C7 ways (since there are 22 green balls to select from)

.7 yellow balls are selected in 23C7 ways (since there are 23 yellow balls to select from).

7 blue balls are selected in 24C7 ways (since there are 24 blue balls to select from).

We'll now count the total number of ways to select 7 balls of each color.

The result is given by the product rule. (21C7) (22C7) (23C7) (24C7).

The result of this multiplication is 25,827,165,165,288,000.

This is roughly equal to 25 trillion.

That is, in the worst-case scenario, where no more than 7 balls of any one color are picked, it is possible to choose 25 trillion different sets of balls

.Therefore, in order to guarantee the selection of at least 8 balls of the same color, we must select at least 33 balls (7 × 4 + 1). This conclusion is based on the pigeonhole principle, which is an example of the principle of inclusion-exclusion.

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In any case, we can't avoid selecting eight balls of the same color. We need to choose 31 balls in total.

The number of balls that must be selected from among 21 red balls, 22 green balls, 23 yellow balls, and 24 blue balls to ensure that at least eight balls of the same color are chosen is 31 balls.

Step 1: Let's suppose we select n balls in total.

Step 2: We must choose the worst-case scenario where the total number of balls that are not the color that we want is minimized and the total number of balls that are the color we want is maximized.

Step 3: So, we may make this general assumption without the loss of generality:

We want to choose as many balls of the same color as possible. We will therefore pick 7 balls of each of the four colors so that there are only 3 balls remaining in each color.

Step 4: We have chosen a total of 4 × 7 = 28 balls thus far.

The three remaining colors will have 3 balls each. We must now choose the remaining three balls. There are four possible options for the three remaining colors.

We may choose from the colors with three balls, or we may choose from the three colors with 7 balls, with the remaining color having six balls. In any case, we can't avoid selecting eight balls of the same color.

Therefore, we need to choose 31 balls in total.

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Answer:

9 + 4(1) \(\neq \\\) 17

Step-by-step explanation:

to satisfy inequality

9 + 4(1) < 17

13 < 17

Step-by-step explanation:

Let x be the width of the uniform strip floor around the rug.

Then the width of the rug is (21 - 2x) and the length of the rug is (29 - 2x).

(21 - 2x)(29 - 2x) = 345

609 - 100x + 4x^2 = 345

4x^2 - 100x + 264 = 0

x^2 - 25x + 66 = 0

(x - 22)(x - 3) = 0

x = 3 or x = 22 (rejected as x must be less that the width of the room)

Hence the width of the rug is 21 - 2(3) = 15 feet and the length of the rug is 29 - 2(3) = 23 feet.

Option b) is the only relation that satisfies all the properties of a partial ordering.

The relation in option b) {(0,0), (1, 1), (1, 2), (1,3), (2,0), (2, 2), (2,3), (3,0), (3,3)} is a partial ordering.

To be a partial ordering, a relation must satisfy three properties:

Reflexivity: Every element is related to itself. In option b), we see that (0,0), (1,1), (2,2), and (3,3) are present, satisfying this property.

Antisymmetry: If (a, b) and (b, a) are both in the relation, then a must be equal to b. In option b), there are no pairs such as (a, b) and (b, a) where a ≠ b, satisfying this property.

Transitivity: If (a, b) and (b, c) are both in the relation, then (a, c) must also be in the relation. In option b), we can see that this property holds for all pairs.

On the other hand, the relation in option a) {(0,0), (1, 1), (1, 2), (2, 2), (3,1),(3,3)} is not a partial ordering because it violates the antisymmetry property. Specifically, (1,2) and (2,1) are both in the relation, but 1 ≠ 2, which contradicts the requirement of antisymmetry.

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The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

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The value of the x is 5 after applying the properties of the triangle in AABC, AC is extended through point C to point D,

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

In AABC, AC is extended through point C to point D,

From the figure:

The equation can be framed:

180 - (9x -1) = 180 = (3x-4) - (3x+18)

After simplification:

3x = 15

x = 5

Thus, the value of the x is 5 after applying the properties of the triangle in AABC, AC is extended through point C to point D,

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The measurement of the angle is 63.4°.

What is Pythagoras theorem?

Pythagorean theorem is the formula for right angle triangle which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the height and base (a and b),

\(a^2 + b^2 = c^2\)

In this case, we are given that the base is 9 and the hypotenuse is 10, so we can solve for the height,

\(height^2 = 10^2 - 9^2 \\ height^2 = 100 - 81 \\ height^2 = 19 \\ height = \sqrt19\)

Here we need to find the angle between the hypotenuse and the height.

Let Value of the angle be x.

We know that the sine of this angle is equal to the opposite side (the height) divided by the hypotenuse,

sin(x) = Height/Hypotenuse

\(sin(x) = \frac{ \sqrt(19)}{10}\)

\(x = sin^{-1}( \frac{ \sqrt(19)}{10}) \\ x ≈ 63.4 \: degrees\)

Therefore, the value of x is approximately 63.4 degrees.

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a. Since the vertical component of velocity v' = 241.05 mph > v" = 229.43 mph, the first plane is rising faster

b. I would change the angle of elevation of both planes

Two planes at started to take off at the same time. Plane One took off from the tarmac going 375 mph at an angle of elevation of 40° and Plane Two took off from the tarmac going 400 mph at an angle of elevation of 35°, to fidn which plane is rising faster, we compute their vertical component of velocity of the plane .

The vertical component of velocity is v' = vsinФ where

For the first plane

So, v' = vsinФ

= (375 mph)sin40°

= (375 mph) × 0.6428

= 241.05 mph

For the second plane

So, v" = vsinФ

= (400 mph)sin35°

= (400 mph) × 0.5736

= 229.43 mph

Since v' = 241.05 mph > v" = 229.43 mph

So, the first plane is rising faster

To make both planes rise at the same rate, I would change the angle of elevation of both planes

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Answer:

The probability is \(0.3819\)

Step-by-step explanation:

We know that Teresa is playing a game in which she is dealt 8 cards from a deck that includes 3 jokers and 52 common cards (a total of 55 cards).

Let's define the following random variable :

\(X\) : '' Number of jokers in the hand of Teresa ''

We need to find \(P(X\geq 1)\)

This probability is equivalent to :

\(P(X\geq 1)=1-P(X=0)\)

\(P(X=0)\) is the probability of having none jokers in the 8 card hand.

In order to find \(P(X=0)\) we are going to count all the cases in which \(X=0\) (given that we are in presence of an equally - likely sample space)

We calculate \(P(X=0)\) as :

\(P(X=0)=\frac{\left(\begin{array}{c}52&8\end{array}\right)\left(\begin{array}{c}3&0\end{array}\right)}{\left(\begin{array}{c}55&8\end{array}\right)}\)

We define the combinatorial number \(nCr=\left(\begin{array}{c}n&r\end{array}\right)=\frac{n!}{r!(n-r)!}\)

In the denominator we have \(\left(\begin{array}{c}55&8\end{array}\right)\) which represents all the ways in which we can extract 8 cards from the deck of 55 cards.

In the numerator we have the product of \(\left(\begin{array}{c}52&8\end{array}\right)\)  (which represents all the ways in which we can choose 8 cards from the 52 common cards) and   \(\left(\begin{array}{c}3&0\end{array}\right)\)  (which represents that from the total of 3 jokers we extract 0)

 If we perform the operation we find that :

\(P(X=0)=0.6181\)

Finally,

\(P(X\geq 1)=1-P(X=0)=1-0.6181=0.3819\)

The probability is \(0.3819\)

Answer:

v = 13.5 m/s is the answer

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Answer:

\(TSA = 49 + 14\sqrt{12.25 + h^2}\)

Step-by-step explanation:

Given

\(b = 7cm\) --- base lengths

Required

Determine the total surface area

Given the height (h), the total surface area of a squared pyramid is:

\(TSA = b^2 + 2b\sqrt{\frac{b^2}{4} + h^2}\)

The equation becomes

\(TSA = 7^2 + 2*7\sqrt{\frac{7^2}{4} + h^2}\)

\(TSA = 7^2 + 2*7\sqrt{\frac{49}{4} + h^2}\)

\(TSA = 49 + 14\sqrt{12.25 + h^2}\)