Please help me with inequality

Answer: A is a true statement.

Step-by-step explanation:

The probability that exactly 5 black cars and exactly 10 non-black cars drive by in a particular afternoon is approximately 0.00167.

The probability that exactly 5 black cars and exactly 10 non-black cars drive by on a particular afternoon is

, where \($X_b$\) are the number of black cars and \($X_{nb}$\) the number of non-black cars passing by the playground in the afternoon. Since the color of the cars is independent of the number of cars that drive by, we can model the number of black and non-black cars using two separate Poisson distributions with means

\($\lambda_b = \frac{1}{5}\cdot25=5$ and $\lambda_{nb}=25-5=20$\), respectively.

Plugging in the values and simplifying, we get:

\($$P(X_b=5,X_{nb}=10)=\frac{e^{-5}5^{5}}{5!}\cdot\frac{e^{-20}20^{10}}{10!}\cdot\frac{1}{5^{5}}\cdot\frac{4^{10}}{5^{10}}\approx 0.00167$$\)

Therefore, the probability that exactly 5 black cars and exactly 10 non-black cars drive by in a particular afternoon is approximately 0.00167.

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Answer:

The percentage increased by approximately 5%.

Step-by-step explanation:

52.10 - 49.62 = 2.48

2.48/49.62 x 100 = 4.998%

The percentage increase in the price is approximately 5%. Hope this helps! :)

Answer:

405 miles

Step-by-step explanation:

Take the miles per gallon and multiply the gallons to get the miles

22.5 * 18

405 miles

Answer:

202 1/2 miles

Step-by-step explanation:

We want to find how far she can drive on 1/2 a tank of gas.

Her tank can hold 18 gallons. Multiply 18 and 1/2, or divide 18 by 2.

18*1/2=18*0.5=9

or

18/2=9

1/2 a tank of gas is 9 gallons. Now, we need to find how far she can drive. Multiply the number of gallons in 1/2 a tank by the miles per gallon.

gallons in 1/2 tank * miles per gallon

We know she has 9 gallons in 1/2 tank, and she gets 22 1/2, or 22.5 miles per gallon.

9 gallons * 22.5 miles/gallon

9*22.5=202.5= 202 1/2

She can drive 202 1/2 miles on 1/2 a tank of gas.

Marco's data points have a better line of best fit based on a comparison of Correlation coefficients.

Marco is incorrect in stating that his data points have a better line of best fit than Landon based solely on the comparison of correlation coefficients. The magnitude of the correlation coefficient alone does not determine the quality or strength of the line of best fit.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1. A positive correlation coefficient (such as 0.85) indicates a positive linear relationship, while a negative correlation coefficient (such as -0.85) indicates a negative linear relationship. The closer the correlation coefficient is to -1 or +1, the stronger the relationship. A correlation coefficient of 0 indicates no linear relationship.

In the case of Landon and Marco, both correlation coefficients have the same absolute value of 0.85, suggesting a strong linear relationship. However, the negative sign for Landon's correlation coefficient indicates a negative linear relationship, while the positive sign for Marco's correlation coefficient indicates a positive linear relationship.

The comparison between -0.85 and 0.85 should not be made in terms of greater or lesser quality of the line of best fit. The choice of a positive or negative correlation depends on the context and nature of the variables being analyzed.

The appropriateness of the line of best fit and the goodness-of-fit of the model should be evaluated based on additional factors such as the data points' distribution around the line, residuals, and the overall context of the analysis. These aspects provide more comprehensive insights into the quality of the fit and the reliability of the relationship being represented.

Therefore, Marco's data points have a better line of best fit solely based on a comparison of correlation coefficients. The interpretation of the correlation coefficient requires considering the nature of the variables and other factors influencing the analysis.

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Answer:

85

Step-by-step explanation:

i useed the formula LxWxH

i came up with 85

5x5x3.5

Answer:

6

Step-by-step explanation:

Use a calculator

Answer:

Hello! your answer will be C.

The relative growth rate in any year x is 0.587 or 58.7%.

Given the monthly global data traffic prediction as:4.7e^(0.587x)

Here, x is the number of years since 2015

To find the relative growth rate in any year x%, we have to differentiate the given function.

So, we getd/dx (4.7e^(0.587x))=4.7(0.587)e^(0.587x)

Now, we can calculate the relative growth rate as:

Relative growth rate = (d/dx (4.7e^(0.587x))) / (4.7e^(0.587x))

                                  =4.7(0.587)e^(0.587x) / 4.7e^(0.587x)

                                  =0.587

Hence, the relative growth rate in any year x is 0.587 or 58.7%.

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Answer:

To change a number from scientific notation to standard form, move the decimal point to the left (if the exponent of ten is a negative number), or to the right (if the exponent is positive). You should move the point as many times as the exponent indicates. Do not write the power of ten anymore

Answer:

g' (- 2) = \(\frac{1}{2}\)

Step-by-step explanation:

let y = g(x) and rearrange making x the subject, that is

y = \(\frac{2}{1-4x}\) ( multiply both sides by 1 - 4x )

y(1 - 4x) = 2 ← distribute left side

y - 4xy = 2 ( subtract y from both sides )

- 4xy = 2 - y ( multiply through by - 1 )

4xy = y - 2 ( divide both sides by 4y )

x = \(\frac{y-2}{4y}\)

change y back into terms of x with x = g'(x)

g'(x) = \(\frac{x-2}{4x}\) , then

g'(- 2) = \(\frac{-2-2}{4(-2)}\) = \(\frac{-4}{-8}\) = \(\frac{1}{2}\)

Answer:

4.61 years

Step-by-step explanation:

hope it helped!

Answer:

To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.

So,

(x + 4)² = x² + 2(x)(4) + 4²

= x² + 8x + 16

Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.

Step-by-step explanation:

Answer:

x²n+ 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

Answer:

a for saturn is 9.55 astronomical units

Step-by-step explanation:

Here, we are interested in calculating the distance from the sun.

Mathematically, from the question;

P = a^3/2

29.5 = a^3/2

a = 29.5^2/3

a = [3√(29.5)]^2

a = 9.55 in astronomical units

Answer:

a) 9.5 AU

Step-by-step explanation:

on edge

Answer:

It will take 4 seconds. She will have to run 32 meters

Step-by-step explanation:

The formula to calculate the distance in terms of speed and time is:

distance = speed x time

Let x represent the distance Bridget run. Since Tylor starts 4 meters ahead, the distance for the Tylor is x-4. The time is same for both of them, let us represent it with t.

The distance by Bridget: x = 8t → t = x/8

The distance by Tylor: x - 4 = 7t → t = (x-4)/7

→ x/8 = (x-4)/7

→ 7x = 8(x-4)

→ 7x = 8x - 32

→ x = 32

Since x = 32 and t = x/8

→ t = 32/8 = 4

Answer:

1:2

Step-by-step explanation:

There is 1 hexagon and two rectangles

Answer:

1:2

Step-by-step explanation:

Answer:

Answer:

x(x-3)(x+4)

Step-by-step explanation:

the probability of a patient with a tumor diameter of 5.5 and tumor coarseness of 0.7 being a non-cancer patient is approximately 0.9106, or 91.06%.

To find the probability of a patient with a tumor diameter of 5.5 and tumor coarseness of 0.7 being a non-cancer patient using the logistic regression model with the given mathematical function, we need to apply the sigmoid function to the linear combination of the features.

The sigmoid function, also known as the logistic function, is defined as:

σ(z) = 1 / (1 + e^(-z))

where z is the linear combination of the features. In this case, the linear combination is given by:

z = 0.2 + 0.25 * tumor_diameter + 1.1 * tumor_coarseness

Substituting the values of tumor_diameter = 5.5 and tumor_coarseness = 0.7 into the equation, we get:

z = 0.2 + 0.25 * 5.5 + 1.1 * 0.7

z = 0.2 + 1.375 + 0.77

z = 2.345

Now, we can calculate the probability using the sigmoid function:

P(non-cancer) = σ(z) = 1 / (1 + e^(-2.345))

Calculating this value, we find that:

P(non-cancer) ≈ 0.9106

Therefore, the probability of a patient with a tumor diameter of 5.5 and tumor coarseness of 0.7 being a non-cancer patient is approximately 0.9106, or 91.06%.

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We will determine the remaining almond flour as follows:

*First: We determine how much does 20% of it is:

So, 20% of almond flour is 18 pounds. Now, we subtract this amount from the total amount:

So, there are 72 pounds of almond flour left.

Answer:

3/2t - 4/3t - 16 = -6

add 16 to both sides of the equation

3/2t - 4/3t -16 + 16 = -6 + 16

          3/2t - 4/3t = -6 + 16

(Brainliest me please!!!)

The value of c is 46.4cm. option B

From the information given, we have that;

a = 43 cm

m<B = 22°

We have that the different trigonometric identities are represented as;

From the information given, we have that;

Using the cosine identity, we have that;

cos θ = adjacent/hypotenuse

cos 22 = 43/c

cross multiply the values

c = 43/0.9271

divide the values

c = 46. 4 cm

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The distance between two opposite corners of the floor is 5 meters.

What is Pythagoras Theorem?

Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Using the Pythagorean theorem, the distance between two opposite corners of the floor can be found by calculating the length of the hypotenuse of a right triangle whose legs are the length and width of the floor. Therefore,

c² = a² + b²

where c is the length of the hypotenuse, a is the length of the floor (3 meters), and b is the width of the floor (4 meters).

Substituting the values, we get:

c² = 3² + 4²

c² = 9 + 16

c² = 25

Taking the square root of both sides, we get:

c = √(25)

c = 5

Therefore, the distance between two opposite corners of the floor is 5 meters.

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A pair of vertical angles is; Angle 1 and Angle 4

A pair of supplementary angles are; Angle 2 and angle 1

Vertical Angles are defined as the angles that are opposite each other when two lines cross each other.

Two angles are defined as adjacent angles when they share the common vertex and side.

Two angles are defined as supplementary angles if they sum up to 180 degrees.

By those definitions above, we can say that;

Angle 1 & 2 as well as angle 3 & 4 are pairs of supplementary angles.

We can also say that;

Angle 4 and 1 are vertical angles while angle 2 and 3 are vertical angles as well.

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Answer:

275 ft

Step-by-step explanation:

The formula given to use for the slant height l of the cone is ;

l = (s - πr^2)/π

Now substituting the parameters given in the question, 500 π for area and radius of 15, we have

l = {500π-15^(2)π}/π

l =( 500 π -225 π)/π

l = 275 π/π

l = 275 ft

Answer:

275

Step-by-step explanation:

^ and what they said

To write an expression that selects all words with at least five letters from a list, you can use a list comprehension in Python and that are word, list, filtered, for, kite.

List comprehensions provide a concise way to create new lists by filtering or modifying elements from an existing list.
Here's an example using the words you provided:
```python
words_list = ['being', 'for', 'the', 'benefit', 'of', 'mister', 'and', 'kite']
filtered_words = [word for word in words_list if len(word) >= 5]
```

In this example, the list comprehension iterates through each word in `words_list` and checks if its length (`len(word)`) is greater than or equal to 5. If the condition is met, the word is added to the new `filtered_words` list. The result will be `['being', 'benefit', 'mister']`, which are the words with at least five letters in the original list.

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Step-by-step explanation:

The answer is

X=23

Hope it helpsss

Approximation of 12.0 by rounding off the number is 12.

Anything similar to something else but not precisely the same is called an approximation. By rounding, a number may be roughly estimated. By rounding the values in a computation before carrying out the procedures, an estimated result can be obtained.

Rounding is a very basic estimating technique. The main ability you need to swiftly estimate a number is frequently rounding. In this case, you may simplify a large number by "rounding," or expressing it to the tenth, hundredth, or a predetermined number of decimal places.

In the given problem, we are asked to approximate the value of 12.0 which is equal to 12.

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Answer:

  \(\dfrac{2xy+x}{3y+2}\)

Step-by-step explanation:

Factor numerator and denominator and cancel common factors.

  \(\dfrac{3x-12xy^2}{6-3y-18y^2}=\dfrac{-3x(4y^2-1)}{-3(6y^2+y-2)}=\dfrac{x(2y-1)(2y+1)}{(2y-1)(3y+2)}\\\\=\boxed{\dfrac{2xy+x}{3y+2}}\)

The volume of the square pyramid is 128 cubic cm if the height is 6 cm and base length is 6 cm option third is correct.

In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the centre of the square.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Let's suppose the base length is x

b = 6 + 2 = 8 cm

h = 6 cm

Area of the base = 8×8 = 64 square cm

Volume of the square pyramid = (64×6)/3 = 128 cubic cm

Thus, the volume of the square pyramid is 128 cubic cm if the height is 6 cm and base length is 6 cm option third is correct.

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Answer:

30 terms

Step-by-step explanation:

The n th term of an AP is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here d = 5 and a₃ = 13, thus

a₁ + 2d = 13

a₁ + 2(5) = 13

a₁ + 10 = 13 ( subtract 10 from both sides )

a₁ = 3

Thus

\(a_{n}\) = 3 + 5(n - 1) = 148 ( subtract 3 from both sides )

5(n - 1) = 145 ( divide both sides by 5 )

n - 1 = 29 ( add 1 to both sides )

n = 30

The progression has 30 terms