QUESTION 2.1 POINT
If the probability that a randomly chosen college student takes statistics is 0.44, then what is the probability that a randomly
chosen college student does not take statistics? Give your answer as a decimal.
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The inequality relation  -q > -7  can be represented in the form of q as q < 7

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be A

The value of A is - q > - 7

Now , multiplying by (-1) on both sides of the equation , we get

( -1 ) ( -q ) > ( -1 ) ( - 7 )

The inequality relation will change the sign from > to < and ,

q < 7

So , the value of the inequality relation A is q < 7

Now , all the values in the number line which satisfy the inequality equation q < 7 are given in set A

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

Hence , The inequality relation  -q > -7  can be represented in the form of q as q < 7 and numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

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Answer:

32-8x=7x+2

32-2=7x+8x

30=15x

30/15=x

2=x

Step-by-step explanation:

Incomplete question. Repost the complete problem.

Answer:

f(X)=2x is the correct answer

(a) | BD | bisects | AC | (reason : Given)

(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).

(c) ∠ABD ≅ ∠CBD (reason: | BD |  bisects angle ABC)

(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.

From the first statement, we will complete the flow chart as follows;

line BD bisects line AC (reason : Given)

line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)

Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)

Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).

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Answer:

lateral surface area of a pyramid= 1/2pl or pl/2

The range of the possible values for X will be;

⇒ X < 5

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The sides of a triangle QRS are;

⇒ QR=10X - 6,

⇒ RS = 6X - 15,

⇒ QS = X + 24,

Now,

We know that;

The sum of two sides of a triangle is always greater than the third side.

So, We can formulate;

⇒ 10X - 6 < (6X - 15) + (X + 24)

⇒ 10X - 6 < 7X + 9

⇒ 10X - 7X < 9 + 6

⇒ 3X < 15

⇒ X < 5

Thus, The range of the possible values for X will be;

⇒ X < 5

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The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

-2

Step-by-step explanation:

To find slope, we need to use the formula

\(\frac{y2-y1}{x2-x1}\)

Substituting your coordinates (-1,8) and (5,-4) , we get -2 as a result.

Hope this helped!!

Answer:

slope = - 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 8 ) and (x₂, y₂ ) = (5, - 4 )

m = \(\frac{-4-8}{5-(-1)}\) = \(\frac{-12}{5+1}\) = \(\frac{-12}{6}\) = - 2

Answer:

No solution

Step-by-step explanation:

9(x-4)=9x-33

9x-36=9x-33

-9x       -9x

36=33

36 is not equal to 33 so therfore

there is no solution

Answer:

infinite solutions :)

Step-by-step explanation:

infinity solutions, there is infininte possibilitys.

well, the profit is clearly just 490 - 350 = 140.

Now, if we take 350(origin amount) to be the 100%, what is 140 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 350 & 100\\ 140& x \end{array} \implies \cfrac{350}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2} ~~=~~ \cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40\)

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer: any negative value

Step-by-step explanation:

g(x)= ax², inc on x<0 & dec on x>0

Firstly we need to get the derivative of g(x)

g'(x)=2ax

for inc interval g'(x) should be +ve

x<0 (i.e. x= -ve), then a must be -ve

for dec interval g'(x) should be +ve

x>0 (i.e. x= +ve), then a must be -ve

so in both cases a must be a negative constant

Answer:

Um the North China Plain

Step-by-step explanation:

Is dis math...

Answer:

6 and 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

brown sugar=1/2 cup=(1/2)*16=8 tablespoons

Total amount of sugar called for=4+8=12 tablespoons

Amount of cornstarch called for=2 tablespoons

cornstarch = 2/12=1/6 of the total amount of sugar called for

Answer:

-28.1

Step-by-step explanation:

-10 - 8.8 - (-8) + (-17.3) =

= -18.8 + 8 + (-17.3)

= -10.8 + (-17.3)

= -28.1

Answer:

-18.8-(-8)+(-17.3)

-10.8+(-17.3)

Answer:

The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)

I hope this helps you!

Answer:

Step-by-step explanation:

I'm pretty sure that GF is showing, as the interior angle  x -65,  it's just kinda hard to see

135-65 = 70° = GF

Answer:

Step-by-step explanation:

Solve for X

6x+60x+150=0

66x = -150

x = -150 : 66

x = -2.27272727273

in fraction

x = -25/11

If the first term is 5 and the common ratio is 6 then the fourth term of the sequence be 1080.

Given that the first term is 5 and the common ratio is 6.

We are told to find the fourth term of the sequence.

Because there is common ratio of the sequence so the given sequence is a geometric progression.

A geometric progression is basically the sequence in which each term is varied by another by a common ratio.

Nth term of GP=a\(r^{n-1}\)

4th term is first term is 5 and the common ratio is 6=5*\(6^{4-1}\)

=5*\(6^{3}\)

=5*216

=1080

Hence if the first term is 5 and the common ratio is 6 then the fourth term of the sequence be 1080.

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Answer:

i think26 and 10

Step-by-step explanation:

Answer:

c.  12/5

Step-by-step explanation:

With reference angle C

perpendicular (P)= 24

base(b) = 10

Then

Tan < C = p / b

Tan < C = 24/ 10

Tan < C = 12/5

Hope it helps :)

The probability of two heads when a biased coin is spun twice is 0.16.

The first time you flip the coin, the probability of seeing a heads is 2/5. The second time you flip the coin, the probability of seeing a heads is still 2/5 because the probability of a biased coin has not changed over the course of the two flips.

Since each flip is an independent event, you multiply the probabilities together.

The probability of two heads when a biased coin is flipped twice is (2/5) × (2/5) = 4/25 = 0.16.

Therefore, the probability of two heads when a biased coin is spun twice is 0.16.

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Work Shown:

\(\frac{12^{10}}{12}\\\\\\\frac{12^{10}}{12^1}\\\\\\12^{10-1}\\\\\\12^{9}\\\\\\\frac{1}{12^{-9}}\\\\\\\left(\frac{1}{12}\right)^{-9}\\\\\\\)

In the third step, I used the rule that \(\frac{a^b}{a^c} = a^{b-c}\). You subtract the exponents when dividing exponents of the same base.

After that, I used the rule \(a^{-b} = \frac{1}{a^b}\) which is the same as saying \(a^{b} = \frac{1}{a^{-b}}\) to end up with choice C as the answer.

The area of the figure we need to use Rectangle, Triangle and Circle formulas:

Identify the shape: Depending on the figure you have, it could be a rectangle, triangle, circle, or a more complex shape. If it's a composite figure, break it down into simpler shapes.
Use the appropriate formula: Each shape has a specific formula to calculate the area.
- Rectangle: Area = length × width
- Triangle: Area = (base × height) / 2
- Circle: Area = π × (radius²)
Measure the necessary dimensions: Measure the required dimensions (length, width, base, height, or radius) using appropriate units (e.g., meters, centimeters, inches).
Plug the values into the formula: Insert the measured dimensions into the corresponding formula.
Perform calculations: Carry out the necessary mathematical operations to get the area.
Include units: Express the area with the appropriate square units (e.g., square meters, square centimeters, square inches).
(For composite figures) Add or subtract areas: If the figure is composed of multiple shapes, add or subtract their areas accordingly to get the total area of the figure.

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Answer: -17 Feet

Step-by-step explanation:

All you have to do to get your answer is subtract (because the water level decreased) 13 from -4. ( -4 - 13) giving you an answer of -17 feet. Dont forget to add your unit of measurement or the answer may be considered wrong.

Answer:

$2

Step-by-step explanation:

step 1: 12-6=6

Step2: 6 divided by 3