One day is the amount of time it takes for a planet to make one complete rotation. The number of hours in one day is different for each plane. How many days are equal to 1,100 hours on Saturn? Show your work.

The answer choice which is a function among the given answer choices is; Choice B as they are all correct.

From conventional mathematics, a function from a set x to a set y assigns to each element of X exactly one element of Y.

The set of values x is called the domain of the function and the set of values y is called the codomain/range of the function.

Functions basically represents the idealization of how a varying quantity depends on another quantity.

It therefore follows from the paragraph above that all of the answer choices are functions.

Therefore, the answer choice which is a function among the given answer choices is; Choice B as they are all correct.

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Probability of mutation = 2% = 0.02

Number of samples(n) = 18

nCk × (p^k) × (1 - p)^(n-k)

P = probability of success

n = number of trials

k = number of success desired

A) P(n, k) = p(18, 0) = 18C0 × 0.02^0 × 0.98^18

P(18,0) = 1 × 1 ×0.6951353 = 0.6951

0.6951 × 100% = 69.50%

B.) At most one Sample is mutated

P(x =0) + p(x = 1)

P(18,0) = 69.5%

P(18, 1) = 18C1 × 0.02^1 × 0.98^17

P(18,0) = 18 × 0.02 × 0.70932176618 = 0.25535

0.2553 × 100% = 25.5%

69.5% + 25.5% = 95.00%

C) More than half the samples are mutated

Half of samples (18 / 2) = 9

P(x> 9) : p(x = 9) + p(x = 10)... +p(x = 18)

Using the binomial distribution calculator to save time ;

P(x > 9) = 0.00

Answer:

ttbh

Step-by-step explanation:

The range of the function on the graph would be: D. all real numbers greater than or equal to 2

To obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.

So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.

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Answer:

25%

Step-by-step explanation:

The total number of city council is 80 and 20/80 is 1/4

Answer:213.7

Step-by-step explanation:

Answer:

The linear function that models the charge for hiring the technician for x hours is y=45*x + 55

Step-by-step explanation:

The linear function is defined by the equation

f(x) = mx + b or y = mx + b

where m is the slope of the line and b is the y-intercept.

In this case you want to represent a linear function that models the charge for hiring the technician for x hours, that is, y represents the charge for hiring the technician and x the number of hours.

Given the coordinates of two points (x1, y1) and (x2, y2), you can determine the equation of the line first knowing the slope m by:

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

In this case, the points are:

So:

\(m=\frac{370-190}{7-3}\)

Solving:

m=45

To obtain the value of b, once you have replaced the value of m in the equation, you must substitute the values ​​of x and y for the values ​​of the coordinates of one of the points, and solve for b to obtain its value. In this case you replace the value of point 1:

\(y=45*x+b\)

\(190=45*3+b\)

And you get:

190= 135 + b

190 - 135= b

55= b

So, the linear function that models the charge for hiring the technician for x hours is y=45*x + 55

We want to find a linear equation that models the charge for hiring the technician for x hours.

The correct option is D, the equation is:

y = ($45/h)*x + $55

We know that a general linear equation is written as:

y = a*x + b

where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

\(a = \frac{y_2 - y_1}{x_2 - x_1}\)

Here we have two points, one given by:

(3 hours, $190)

The other given by:

(7 hours, $370)

Then the slope is given by:

\(a = \frac{\$ 370 - \$ 190}{7h - 3h} = \$ 45/h\)

This means that he charges $45 per hour.

Replacing that in the general equation we get:

y = ($45/h)*x + b

To find the value of b, we use the fact that he charges $190 for 3 hours, then we can solve:

$190 = ($45/h)*3h + b

$190 = $135 + b

$190 - $135 = b = $55

Then the equation is:

y = ($45/h)*x + $55

So the correct option is D.

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Answer: make me  brainlist

Step-by-step explanation: 13 is A

the one next to it is D so it is D

The inverse function is given as s⁻¹ = [(t + 5) / (t – 6)]. Then the correct option is C.

The complete question is attached below.

The equivalent is the expressions that are in different forms but are equal to the same value.

A real estate company balances the books for its business on the first day of each month.

It hopes to sell houses every other day of the month.

The average number of houses, S, the company sells each day, t, is represented by the inverse of the function is given below.

\(\rm s^{-1} = \dfrac{t^2 + 4t - 5}{t^2 - 7t + 6}\)

Then the inverse function can be written as

\(\rm s^{-1} = \dfrac{t^2 +5t - t - 5}{t^2 - 6t - t + 6}\\\\\rm s^{-1} = \dfrac{(t + 5)(t - 1)}{(t - 6)(t - 1)}\\\\\rm s^{-1} = \dfrac{(t + 5)}{(t - 6)}\)

Then the correct option is C.

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The values of the trigonometric functions are:

cos(x) = -7/25

sin(x) = 24/25

tan(x) = -24/7

sec(x) = -25/7

cot(x) = -7/24

We have,

We can start by using the definition of cosec(x) = 1/sin(x) to find sin(x):

csc(x) = 25/24

1/sin(x) = 25/24

sin(x) = 24/25

Now we can use the Pythagorean identity sin²(x) + cos²(x) = 1 to find cos(x):

sin^2(x) + cos^2(x) = 1

(24/25)^2 + cos^2(x) = 1

cos^2(x) = 1 - (24/25)^2

cos(x) = -7/25

(since x is in the second quadrant where cos(x) is negative)

Next, we can use the definition of tan(x) = sin(x)/cos(x) to find tan(x):

tan(x) = sin(x)/cos(x) = (24/25)/(-7/25) = -24/7

Using the reciprocal identities, we can find sec(x) and cot(x):

sec(x) = 1/cos(x) = -25/7

cot(x) = 1/tan(x) = -7/24

Therefore,

The remaining trig functions are:

cos(x) = -7/25

sin(x) = 24/25

tan(x) = -24/7

sec(x) = -25/7

cot(x) = -7/24

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Consider the following general periodic function:

where

a= amplitude

b = frecuency

h= phase translation

k= vertical translation

2π/ |b| = period

Now, consider the following periodic function:

Applying the definition given at the beginning of this explanation, we can see that:

a = amplitude = 3

2π/ |b| = period = 2π/|1| = 2π

Then, the graph of the given function is:

Notice that the greatest and least values of y are 3 and -3 respectively.

We can conclude that the correct answer is:

Graph:

Period:

Amplitude:

The greatest value of y (coordinate y of the maximum point):

The least value of y (coordinate y of the minimum point):

Step-by-step explanation:

(a) The lower limit of the 90% confidence interval can be calculated using the formula:

lower limit = sample mean - margin of error

Plugging in the given values, we have:

lower limit = 7.43 - 1.32

lower limit = 6.11 (rounded to 2 decimal places)

Therefore, the lower limit of the 90% confidence interval is approximately 6.11 hours per night.

(b) If 500 random samples like this were selected, and a 90% confidence interval was constructed using each sample, the expected number of intervals that would contain the population mean can be approximated using the margin of error as a guide.

Since the margin of error is 1.32 hours, we can expect roughly 90% of the confidence intervals to contain the true population mean. Therefore, out of 500 samples, we would expect approximately:

500 * 0.9 = 450

So, approximately 450 of these confidence intervals would contain the population mean.

Answer:

yes, it's a circle

center at (-3, -2)

radius is 2 units

Step-by-step explanation:

Answer:

b is 15.

Step-by-step explanation:

Trust me on this, The answer could only be 15 when solving for b. Hopefully that helps.

The answer is 15 because that is what it is.

a. The distribution of X is a normal distribution.

b. The median giraffe height is also 19 feet.

c. The Z-score for a giraffe that is 22 foot tall is 3.

d. The probability that a randomly selected giraffe will be shorter than 18.9 feet tall is less than -0.1.

f. The 80th percentile represents the value below which 80% of the data falls.

a. The distribution of X is a normal distribution (or Gaussian distribution) with a mean of 19 feet and a standard deviation of 1 foot. This can be denoted as X ~ N(19, 1).

b. The median of a normal distribution is equal to its mean.

c. To find the Z-score for a giraffe that is 22 feet tall, we can use the formula: Z = (X - μ) / σ, where X is the observed value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get Z = (22 - 19) / 1 = 3.

d. To find the probability that a randomly selected giraffe will be shorter than 18.9 feet tall, we need to calculate the area under the normal curve to the left of 18.9. This can be done using the Z-score and a standard normal distribution table or a calculator.

Alternatively, we can use the Z-score formula from the previous question. The Z-score for 18.9 feet can be calculated as Z = (18.9 - 19) / 1 = -0.1. We can then look up the corresponding probability in the standard normal distribution table or use a calculator to find the probability that Z is less than -0.1.

e. To find the probability that a randomly selected giraffe will be between 18.6 and 19.5 feet tall, we need to calculate the area under the normal curve between these two values.

Again, we can use the Z-score formula to standardize the values and then find the corresponding probabilities using a standard normal distribution table or a calculator.

f. To find the height at the 80th percentile, we can use the standard normal distribution table or a calculator to find the Z-score that corresponds to the 80th percentile.

Once we have the Z-score, we can use the formula Z = (X - μ) / σ to solve for X. Rearranging the formula, we have X = Z * σ + μ. Plugging in the values for Z (obtained from the percentile) and μ (mean) and σ (standard deviation), we can calculate the height at the 80th percentile.

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Answer:

x=67
y=67
z=113

Step-by-step explanation:

Because this is a rhombus, that means that angle 113 and z are correlating, and angle y and x correlate. This is a four-sided shape, so the total of all four angles will add up to 360.

113 and z are correlating, so z is 113.

To find the other two, we first need to find out how much angle measurement is left. To do this, we will subtract angle 113 and z from 360 (our total).

This gives us 134 degrees left.

Now, since x and y are equal to each other, that means that their measurements will be exactly half of the remainder we just found.

So taking 134 and dividing it by 2, we get our final two measurements for x and y, 67 degrees each.

Answer:

x = 67

y = 67

z = 113

Work:

There are a total of 360 degrees in a rhombus and a straight line is 180 degrees. You also know that opposite angles in a rhombus are equal.

If z is opposite 113, then z = 113.

Then to find x, 180 - 113 = 67.

If x is 67 then y is 67 since they are opposite angles.

9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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Answer:

27

Step-by-step explanation:

6/10=12/20 because when you cross multiply, 120=120, so then you can do wither 6/10=x/45 and when you cross multiply you get 270=10x and 270/10=27.

Answer:

\(17x + 5 < 22 \\ 17x < 22 - 5 \\ 17x < 17 \\ x < 1\)

dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.

The autonomous differential equation that satisfies all of the given properties is dy/dx = (y-3)(y+3). This equation has two equilibrium solutions at y = 0 and y = 3, and is positive for -inf < y < 0, and negative for 0 < y < 3, and positive for 3 < y < inf.

To demonstrate this, let's consider the equation at y=-3. Since y=-3 is less than 0, the equation can be simplified to dy/dx = 6. Since 6 is positive, y' is also positive, meaning that y is increasing. Similarly, if y=3, dy/dx = 0 which is neither positive nor negative, so y remains constant. Finally, for y>3, dy/dx = -6, which is negative, so y is decreasing.

Therefore, dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.

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Answer:

Step-by-step explanation:

I wish I knew

Answer: c for maps

Step-by-step explanation:

17.66 units is the perimeter of the polygon.

The perimeter of a two-dimensional form is the space surrounding it. It represents the total length of the shape's sides. The units used to measure the sides of the form, such as meters, centimeters, inches, or feet, determine the units used to measure the perimeter.

To find the perimeter of the polygon LMNPQ, we need to add up the lengths of all the sides.

The distance formula for finding the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:

\(d = \sqrt{(x_2 - x_1)^2 + (y-2 - y-1)^2)\)

Using this formula, we can find the lengths of each side of the polygon:

\(LM = \sqrt{(2 - 4)^2 + (4 - 2)^2} = \sqrt{8}\\MN = \sqrt{(5 - 2)^2 + (8 - 4)^2} = \sqrt{25}\\NP = \sqrt{(8 - 5)^2 + (4 - 8)^2}= \sqrt{25}\\PQ = \sqrt{(6 - 8)^2 + (2 - 4)^2} = \sqrt{8}\\QL = \sqrt{(4 - 6)^2 + (2 - 2)^2} = 2\)

Therefore, the perimeter of the polygon LMNPQ is:

Perimeter = LM + MN + NP + PQ + QL

= √8 + √25 + √25 + √8 + 2

≈ 2.83 + 5 + 5 + 2.83 + 2

≈ 17.66

So, the perimeter of the polygon LMNPQ is approximately 17.66 units.

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Answer:

120

Step-by-step explanation:

Kelly = 64 tokens

Ron = 40 tokens

Pierce = 16 tokens

Total = 120 tokens

Answer:

yes

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

6 divided by 9 is 0.6666666667

4 divided by 6 is o.6666666667

Answer:

V=3

Step-by-step explanation:

9v=27

You have to get v on its own so you have to do the inverse operation which in this case would be division, 9/9, what you do to one side you have to do to the other so 27/9

That’s would separate v from the other numbers and so V=3

9v=27

9v/9=27/9

V=3

Answer: v=3

Step-by-step explanation:

Simplifying

9v + -27 = 0

Reorder the terms:

-27 + 9v = 0

Solving

-27 + 9v = 0

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '27' to each side of the equation.

-27 + 27 + 9v = 0 + 27

Combine like terms: -27 + 27 = 0

0 + 9v = 0 + 27

9v = 0 + 27

Combine like terms: 0 + 27 = 27

9v = 27

Divide each side by '9'.

v = 3

Simplifying

v = 3

Answer:

-1

Step-by-step explanation:

g(1) = -2*1^2 - 4*1 + 5

Answer:

1:commutative

2:distribution

3:3+0=3

4:distributive

5:

Answer:

True

Step-by-step explanation:

If the discriminant \(D=b^2-4ac < 0\), then there are two complex roots

If the discriminant \(D=b^2-4ac > 0\), then there are two real roots

If the discriminant \(D=b^2-4ac=0\), then there is only one real root