is 9.90 biger or less or equal 9.9​

Student at random from a large statistics class.
(a) S = {on campus, off campus}

(b) S = {18, 19, 20, 21, 22, 23, 24, 25}

(c) S = {0000, 0001, 0002, ..., 9999}

(d) S = {A, B, C, D, F}

What is Sample Space?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.

To construct a sample space for a random event, we need to list all of the possible outcomes of the event. Here is a sample space for each of the events described:

(a) Does the student live on campus or off campus?

In this case, the sample space is:

S = {on campus, off campus}

(b) What is the student's age in years?

To specify the sample space, we need to decide on a range of ages to consider. For example, we could consider students who are 18-25 years old:

S = {18, 19, 20, 21, 22, 23, 24, 25}

(c) What are the last four digits of the student's cell phone number?

In this case, the sample space would be all possible combinations of the last four digits of a cell phone number. Since each digit can be any of the numbers 0-9, the sample space would contain 10000 possible outcomes:

S = {0000, 0001, 0002, ..., 9999}

(d) Record the student's letter grade at the end of the course.

The sample space for this event would be:

S = {A, B, C, D, F}

Note that this sample space assumes that the student can only receive one of these five letter grades. If the grading system allows for grades such as A+, B-, etc., the sample space would need to be modified to include these additional possibilities.

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a) The work done is 3.3 J

b) The new force would  stretch it  1.9 cm beyond its natural length.

Hooke's law states that, the force of elasticity that tends to stretch a spring is directly proportional to the extension that is caused by the force as long as we do not by any means exceed the elastic limit of the material. This implies that the Hooke's law can only be found to hold when the elastic limit of the material has not been exceeded and the material has not become plastic.

Now;

F = Ke

W =1/2 Fe

F = 2W/e

W = work done

F = force exerted

e = extension

F = 2 * 23 /(44 - 30) * 10^-2

F = 328.6 N

a) To stretch  34 cm to 36 cm;

W = 1/2 *  328.6 N * 2 * 10^-2

W = 3.3 J

The work done is 3.3 J

b) F = Ke

328.6 N/(44 - 30) * 10^-2 = K

K = 2347 N/m

Then;

45 N =  2347 N/m * e

e = 45 N/ 2347 N/m

e = 0.019 m or 1.9 cm

New length = 30 cm + 1.9 cm = 31.9 cm

The new force would stretch it to a distance of 31.9 cm or 1.9 cm beyond its natural length.

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Answer:

9 p 4 s

Step-by-step explanation:

That's the answer.

A. 9 players 4 spots

In math, a rate is a ratio that compares two different portions that have distinct units. for example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

rate is a ratio among measurements using different units, for example, births per year, cost per person, words per minute.

All rate problems can be solved by using the formula D = R(T), which translates to distance (D) equals rate (R) multiplied by time (T)

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Answer:where are the options ???

Step-by-step explanation:

Answer:

Product 1

Step-by-step explanation:

Got it

Answer:

-1.25

Step-by-step explanation:

-5/4=

-1.25

check answer

4*-1.25= -5

Answer:

Volume = 14.5 cm³

Step-by-step explanation:

Volume of cone = \(\pi r^2\frac{h}{3}\)

Where r = 2 and h = 3.46

Volume = \((3.14)(2)^2\frac{3.46}{3}\)

Volume = (3.14)(4)(1.15)

Volume = 14.5 cm³

The annual percentage growth rate is 5.9%

The doubling time of an investment of $10000 is 12 years

The compound interest caluclated annually can be given by

A=P(1 + r/n)^nt

where A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

20000 = 10000(1 + r)¹²

2⁻¹² = 1 + r

r = 1.059 - 1

r = 0.059

Rate of inetrest = 5.9%

Therefore, the annual percentage growth rate is 5.9%

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20+2(3(5)-4(2))

20+2(15-8)

20+2(7)

20+14

34

Therefore, using the multiplier formula, a $525,000,000 increase in RGDP would result in a total increase in spending of $2,625,000,000.

To use the multiplier formula, we need to know the marginal propensity to consume (MPC), which is the fraction of each additional dollar of income that is spent on consumption.

The multiplier formula is: Multiplier = 1 / (1 - MPC)

If we assume an MPC of 0.8 (meaning that for every additional dollar of income, 80 cents are spent on consumption), the multiplier would be:

Multiplier = 1 / (1 - 0.8) = 5

So, if the change in Real Gross Domestic Product (RGDP) is $525,000,000, the total increase in spending (including consumption, investment, government spending, and net exports) would be:

Total spending increase = Multiplier x RGDP change

Total spending increase = 5 x $525,000,000

Total spending increase = $2,625,000,000

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Deshaun rode the scooter for 102 minutes. Deshaun paid a $7 fee to start the scooter.

1. He paid 7 cents (0.07 dollars) per minute of the ride.

2. The total bill for his ride was $14.14.

Let's denote the number of minutes Deshaun rode the scooter as "t".

The total cost of the ride can be calculated by summing the initial fee and the cost per minute:

Total Cost = Initial Fee + (Cost per Minute) * Number of Minutes

14.14 = 7 + 0.07 * t

Now, we can solve for "t":

0.07 * t = 14.14 - 7

0.07 * t = 7.14

Divide both sides by 0.07:

t = 7.14 / 0.07

t = 102

So, Deshaun rode the scooter for 102 minutes.

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Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

The Law of Detachment states the following:

If p → q is true, and p is true, then q is true.

An example of this law would be:

statements:

- If it's raining, the floor is wet.

- It's raining.

Conclusion:

- The floor is wet.

In the given problem, we have the statements:

- If x = 3, then 3x - 4 = 5.

- x = 3.

So we can write the conclusion using the law:

- 3x - 4 = 5.

Therefore the correct option is the third one.

The reasonable range for the total cost of the tickets the groups

would pay  is {84, 126, 2163}.

The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values.

Given:

The Function modeled for the situation is

f(x) = 21 x where x is the number of tickets sold.

So, For x= 4 Tickets

Fare, F(x) = 21 x 4= $84

and, For x= 6 Tickets

Fare, F(x) = 21 x 6 = $126

and, For x= 103 Tickets

Fare, F(x) = 21 x 103 = $2163.

Hence, the range is {84, 126, 2163}.

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Answer:

To locate the number 8 and its opposite on the number line, we can use the given number line:

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑ ↑

So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.

Now, let's address exercises 2-3:

a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

So, the opposites of the given numbers are:

9 → -9

-2 → 2

4 → -4

They are related to zero as equal distances on opposite sides of zero on the number line.

Step-by-step explanation:

Frequency is related to the number of times a value of the data occurs.

Relative frequency is the proportion this value occurs in the set of the total number of outcomes, it can be calculated as:

The frequency table will be:

The Variables (a) Gender is Categorical , (b) Alcohol can be either Categorical or Quantitative and (c) Height is Quantitative .

We can identify the type of each variable as categorical or quantitative.

(a) Gender: This variable is categorical, as it describes a characteristic that can only take on a limited number of values (e.g., male or female).

(b) Alcohol: Without additional information , it is not clear whether this variable is categorical or quantitative.

If the data set only includes information about whether an individual drinks alcohol or not, then this variable is categorical. If the data set includes information about how much alcohol an individual consumes, then this variable would be quantitative.

(c) Height: This variable is quantitative, as it represents a numerical measurement of a continuous variable.

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The given question is incomplete , the complete question is

Identify and classify the variable(s) you will use. here is the list of variables in the data set.  

(i) identify the variable as either categorical or quantitative.

the variables are (a) Gender , (b) Alcohol , (c) Height .

The data set that is best fitted by the regression line is; Data Set B

Residuals are described as the distance of  each point from the regression line.  Thus, the farther each point is from the line, the worse the fit and the closer each point is to the line, the better the fit.

Graph C has points that are not tightly centered around a line.  This is not a good fit.

Graph A has a straight line; it is not a good fit.

Graph B, shows us that all of the points are tightly centered around a line; this is a good fit.

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Answer:

Just wanted the points

Step-by-step explanation:

THANKS

Answer:

B. 2:1, for every two yellow fish there is one orange fish

Step-by-step explanation:

So you have 6 yellow fish and 3 orange fish.

You can divide both these values by 3 to get:

2 yellow fish: 1 orange fish

Therefore, the simplified version of the ratio is 2:1

In context this means for every 2 yellow fish there is 1 orange fish.

The answer is then B.

I hope this helps!!

- Kay

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

To determine the inverse of function f, change f(x) to y, switch x and y, and solve for y.

\(\frac{1}{8} (x-4)^3\)

Step-by-step explanation:

f(x) = \(\sqrt[3]{8x} +4\)

Change f(x) to y: y = \(\sqrt[3]{8x} +4\)

Switch x and y: x = \(\sqrt[3]{8y} +4\)

Solving for y: x - 4 = \(\sqrt[3]{8y}\)

(x-4)^3 = 8y

y = \(\frac{1}{8}\)\((x-4)^3\)

Therefore: inverse of function f = \(\frac{1}{8} (x-4)^3\)

The inverse function of f(x) will be f⁻¹(x) = 1/8(x - 4)³.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function f(x) is given below.

f(x) = ∛(8x) + 4

Then the inverse function of f(x) will be

Put x = f⁻¹(x) and f(x) = x. Then we have

            x = ∛{8f⁻¹(x)} + 4

∛{8f⁻¹(x)} = x - 4

Cube on both sides, then we have

8f⁻¹(x) = (x - 4)³

 f⁻¹(x) = 1/8(x - 4)³

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Answer:

yes

yes

:D

Step-by-step explanation:

Answer:

1) Yes

2) No

Explanation:

I need to type at least 20 words to submit

Step-by-step explanation:

Take the derivative of the function.

\( \frac{d}{dx} ( {2x}^{2} - 4x - 6) = 4x - 4\)

Set the derivative function equal to 0.

\(4x - 4 = 0\)

\(x = 1\)

Next, we use sign analysis to see where we have relative max/min, absolute max/min

We also include the endpoints of the interval as well (0,3)

So we have two intervals

\(0 \leqslant x < 1\)

\(1 < x \leqslant 3\)

For every interval, pick a random point to see if the derivative function is positive or negative.

If positive, that interval is increasing

If negative, that interval is decreasing.

If 0, that interval is constant

For the first interval, let use 0

\(4(0) - 4 = - 4\)

So the interval is decreasing over 0<=x<1

Furthermore, since the interval is decreasing. The intial point at x=0 could be considered a maximum.

For the second interval, let use 2

\(4(2) - 4 = 4\)

So the interval is increasing over 1<x<=3,

Furthermore, since the interval is increasing. The enpoint could also be considered a maximum.

Since we went from decreasing to increasing, the point

\(x = 1\)

can be considered a minimum point.

Let plot all the critical values in the function to see their coordinate pair.

\(f(0) = - 6\)

\(f(1) = - 12\)

\(f(3) = 0\)

So here

(0,-6) is a relative maximum

(1,-12) is a absolute minimum

(3,0) is a absolute maximum

Answer:

1.The  equation of best fit is ŷ = 2.69152X + 3.45818.

Step-by-step explanation:

Answer:

None of the answers are right based on given context.

The product is 2,450.

Step-by-step explanation:

1) use the partial product method.

4 9 0

×    5

-------------------------------------

4 5 0 (5×90)

2 0 0 0 (5×400)

-----------------------------------------

2 4 5 0

2) Therefore 490 x 5 = 2,450.

2,450

The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)

To determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:

\(80/4^{x}\)

This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.

Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.

\(80/x^{4}\)

This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.

Therefore, the expression that is option d.

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The height of the largest photo is 16 inches.

Sydney's senior picture package includes several sizes of portraits. The smallest photo is a 1.5-inch wide and 2 inch tall rectangle.

The largest photo is 12 inches wide and is similar to the smallest photo.

Let's assume that the largest photo's height is h, then we can say the ratio of the largest photo to the smallest photo is given as:\[\frac{h}{2}=\frac{12}{1.5}\]

Simplify the ratio:\[\frac{h}{2}=8\]

Multiplying each side by 2:\[h = 16\]

Therefore, the height of the largest photo is 16 inches.

Hence, the answer is 16.

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Answer:

2+2i = 2(1+i)

Step-by-step explanation:

2+2i = 2(1+i)