which point on the number line represents the location of the value of -5.5+ 8?

The subsets of the set {e, n, t} are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:

\(2^n\)

The set for this problem is given as follows:

{e, n, t}

The cardinality is given as follows:

n = 3.

Hence the number of subsets is given as follows:

2³ = 8.

The subsets are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

In which {} is the empty set.

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Answer:

A= $116.05

Step-by-step explanation:

A=P(1+E)kt

A=100(1+0.03/2)^10

A= $116.05

His per cent error is 16.¯^6%

Explanation:

Trent estimated his time to be 90m but the Actual time was 75m

Error was 90m−^75m=15m

A Fractional error was then 15m90m

So % error is 1590 ×100=1006%=16.¯^6%

Answer:

His percent error is 16.6 %

Step-by-step explanation:

Trent estimated hie time to be 90m

Actual time was 75m

Error was 90m - 75m = 15m

Fractional error was then 15m/90m (divide)

So % error is 15/90 times 100 = (100/6)% = 16.6%

Answer: To find the equation of a line parallel to 12x + 8y = -40, we need to first rearrange the equation into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

12x + 8y = -40

8y = -12x - 40

y = -1.5x - 5

So, the slope of the line is -1.5.

Since the line we want is parallel to this line, it will have the same slope, which is -1.5. Now we can use the point-slope form of a line to find the equation:

y - y1 = m(x - x1)

where (x1, y1) is the point through which the line passes, and m is the slope.

Substituting (6,-3) and -1.5 for x1, y1, and m respectively, we get:

y - (-3) = -1.5(x - 6)

y + 3 = -1.5x + 9

y = -1.5x + 6

So the equation of the line parallel to 12x + 8y = -40 through the point (6,-3) is y = -1.5x + 6.

Step-by-step explanation:

Answer:

i think its 1/5 but i would need the full problem

Step-by-step explanation:

Answer:

Translated down 8 units or C

Step-by-step explanation:

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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Answer:

130 earrings

Step-by-step explanation:

P=450

450=5n-200

+200     +200

650=5n

/5      /5

n= 130

She would have to sell 130 earrings in order to earn a profit of $450.

Profit is the money earned by a business when its total revenue exceeds its total expenses.

Given is Lena who sells earrings from a booth at the arts fair. She pays $200 to rent the booth. She makes $5 from each pair of earrings she sells. Her profit [P] can be found using the following equation (where n is the number of pairs of earrings sold) → P = 5n - 200.

Now, we have the following equation -

P = 5n - 200.

Now, for a profit of $450, substitute [P] by 450 as -

450 = 5n - 200

5n = 450 + 200

5n = 650

n = 130

Therefore, she would have to sell 130 earrings in order to earn a profit of $450.

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The expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

The amounts of packets of crisps purchased are given as follows:

The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.

Hence the expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

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Answer:157.35

Step-by-step explanation: multiply then add the tax

Answer:

True

Step-by-step explanation:

(16³ - 8³)(4³ + 2³)

(4096 - 512)(64 + 8)
(3584)(72)

258048
To check if this statement is true, divide 258048 by 63:
258048/63 = 4096
Hope this helps :)

Step-by-step explanation:

72km/h = 72,000m/3,600s = 20m/s.

Using Kinematics, we have

v = u + at

= (20m/s) + (-2m/s²)(5s)

= 10m/s.

Hence the velocity will be 10m/s. (or 36km/h)

Step-by-step explanation:

so, what's the problem ?

it's all there, we only need to take the calculator (or simply our heads) and do the calculation :

2×5 - 5×2 = 10 - 10 = 0

you see ? that was all that was needed.

put the given values for the variables into the places of these variables, and then calculate !

that is what variables are for : placeholders for actual values.

Answer:

Step-by-step explanation:

Answer:

0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.

Step-by-step explanation:

Mean for a number of units, which means that the Poisson distribution is used to solve this question.

Poisson Distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

Mean:

3 defective for 1000, how many for 50?

3 - 1000

\(\mu\) - 50

Applying cross multiplication:

\(\mu = \frac{3*50}{1000} = 0.15\)

What is the probability that an order of 50 units will have one or more faulty units?

This is:

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

In which

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-0.15}*(0.15)^{0}}{(0)!} = 0.8607\)

\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8607 = 0.1393\)

0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.

Answer:

a

\(P_k = 0.83\)

b

 \(N_{\mu} \approx 4 \ passengers\)

c

\(T_{\lambda} = 0.5 \ minutes\)

Step-by-step explanation:

From the question we are told that

The average number of passengers that arrive per minute is \(\lambda = 10\)

The average number of check that can be carried out in one minute is \(\mu= 12\)

Generally the probability that a passenger will have to wait before being checked for weapons is mathematically represented as

        \(P_k = \frac{\lambda }{ \mu }\)

=>    \(P_k = \frac{10 }{ 12}\)

=>    \(P_k = 0.83\)

Generally the number of passengers are waiting in line to enter the checkpoint is mathematically represented as

     \(N_{\mu} = \frac{\lambda^2}{\mu (\mu -\lambda) }\)

=>  \(N_{\mu} = \frac{10^2}{12 (12 -10) }\)

=>  \(N_{\mu} \approx 4 \ passengers\)

Generally the average time a passenger spend at the checkpoint is mathematically represented as

      \(T_{\lambda} = \frac{ \frac{\lambda}{(\mu - \lambda)} }{ \lambda}\)

=>   \(T_{\lambda} = \frac{ \frac{ 10}{(12 - 10)} }{10}\)

=>   \(T_{\lambda} = 0.5 \ minutes\)

By using Microsoft excel to plot the data on a scatter plot, the linear regression equation can best be represented by: A. y = 12.11.1.36^x

A regression line can be defined as a statistical line that best describes the behavior of a data set and such, it is a line that best fits a set of data.

By using Microsoft excel to plot the data on a scatter plot, we can logically deduce that linear regression equation for the x-values and log(y)-values is given by:

y = 12.11.0.30^x

Thus, it can best be represented by: y = 12.11.1.36^x

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Answer:

Option D

Step-by-step explanation:

Measure of adjacent side = 20

Measure of Hypotenuse = 24

Since, measures of adjacent side and Hypotenuse have been given in the question, cosine ratio will be applied to find the measure of angle x.

cos(x) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

cos(x) = \(\frac{20}{24}\)

x = \(\text{cos}^{-1}(0.833)\)

  = 33.55°

  ≈ 33.6°

Option D is the answer.

Since the calculated F-value of 7.098 is greater than the critical value of 5.79, we reject the null hypothesis and conclude that the population variance of total sales during active price competition is higher than during duopoly and tacit collusion at the 5% level of significance.

For the above issue, the null and alternate hypotheses are as follows:

The population variations of total sales under duopoly, active price competition, and tacit cooperation are all identical.

In contrast to duopoly and implicit collusion, total sales population variance is larger under active price competition.

To test the null  hypothesis, we must use a two-tailed F- test with a 5 % threshold of significance. The ratio of the sample variances is used to determine the F- statistic.

F = s1² / s2²

Where:
s1² - Sample Variance (Active price competition)

s2² -  SAmple variance (Duopoy and Tacit collusion)


Since n1-1 = 3
and n2-1 = 6

F = 114.09 / 16.08
F = 7.098

Having derived same, we know that the critical values of F for a two-tailed test with 3 and 6 degrees of freedom at 5% level of significance are:

Critical Value (3) = 5.14
Critical Value (6) = 5.79

Therefore, since the F-value > Critical Value in both cases, we must reject the null hypothesis.

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Answer:

Answer is 3rd graph to the right

The given function f(x) = (x + 6)/(x² - 9x + 18) is

(a) increasing on: (-6 - 6√3, 3), (3, -6 + 6√3)

(b) decreasing on: (-∞, -6-6√3), (-6+6√3,6), (6, ∞)

To find the increase in a function, the function f(x) is to be derivated and the derivative must be greater than 0. I.e,

f'(x) > 0

To find the decrease in a function, the function f(x) is to be derivated and the derivative must be less than 0. i.e.,

f'(x) < 0

The given function is f(x) = (x + 6)/(x² - 9x + 18).

Its graph is shown below.

To find the increase or decrease in the function, we need to derivate it.

So,

f'(x) = d/dx{(x + 6)/(x² - 9x + 18)}

Applying d/dx(u/v) = (vu'-uv')/v²

So, on derivating the given function, we get

f'(x) = (x²+12x+72)/(x²-9x+18)²

      = (x - (-6 + 6√3)) (x- (-6 - 6√3))/(x - 3)²(x - 6)²

For f'(x) > 0

The intervals that satisfy the given function for increasing are

(-6 - 6√3, 3), (3, -6 + 6√3)

For f'(x) < 0

The intervals that satisfy the given function for decreasing are

(-∞, -6-6√3), (-6+6√3,6), (6, ∞)

So, from the graph and the roots obtained, we can write,

The function f(x) decreases on: (-∞, -6-6√3), (-6+6√3,6), (6, ∞) and increases on (-6 - 6√3, 3), (3, -6 + 6√3).

Of the options none of them are correct.

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Answer:

Fluorine

Argon

Krypton

Chlorine

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

Answer will be 55898.

Step-by-step explanation:

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

43º

Step-by-step explanation:

Angles in a straight line = 180º so:

180 - (90+47) = 43º.

Alternate angles are equal so the x is also 43º.

The boat speed in still water is 2 km/hr.

Speed is a measure of how fast an object is moving. It is defined as the distance traveled by an object in a given amount of time. Speed is a scalar quantity, meaning it only has magnitude and does not have direction. It is typically expressed in units of distance per time, such as meters per second (m/s) or miles per hour (mph). The formula for speed is speed = distance / time. It is important to distinguish speed from velocity, which is a vector quantity that includes both magnitude (speed) and direction.

The formula to calculate the speed of the boat in still water is:

speed = distance / (time up + time down)

To use this formula, we first need to find the distance traveled upstream and downstream. Let's assume that the distance traveled upstream and downstream is the same, so we can use the average of the two times: (30 min + 10 min) / 2 = 20 min.

Next, we need to convert the time to hours. 20 minutes is equal to 20/60 = 1/3 hours.

Now, let's calculate the distance using the current speed of 2 km/hr:

distance = current speed * time

distance = 2 km/hr * 1/3 hours = 2/3 km

Finally, we can use the formula to calculate the boat speed:

speed = distance / time = 2/3 km / (1/3 hours) = 2 km/hr

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