Please see attahed…………………….

Answer:

B. Those who do not have a brother tend not to have a sister.[tex][/tex]

Step-by-step explanation:

To determine the relative frequency of the data in the two-way table, we need to calculate the proportion of each category in relation to the total number of students.

First, let's calculate the relative frequencies for each category:

Relative frequency of having a sister and a brother:

5 (students with sister and brother) / 30 (total students) = 1/6 ≈ 0.1667

Relative frequency of having a sister but no brother:

12 (students with sister but no brother) / 30 (total students) = 2/5 = 0.4

Relative frequency of having a brother but no sister:

9 (students with brother but no sister) / 30 (total students) = 3/10 = 0.3

Relative frequency of having neither a sister nor a brother:

4 (students with no sister and no brother) / 30 (total students) = 2/15 ≈ 0.1333

Now, let's analyze the relative frequencies to determine the association suggested by the two-way table.

The highest relative frequency is for the category "Those who have a sister but no brother" with a relative frequency of 0.4. This suggests that the most common association in the data is that "Those who do not have a brother tend not to have a sister." Therefore, the answer is:

B. Those who do not have a brother tend not to have a sister.

Answer:

2

Step-by-step explanation:

To find the average rate of change, we need the value of the function at -5

f(-5) = -6

We also need the value of the function at 3

f(3) = 10

The average rate of change is

f(3) - f(-5)

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

3 - -5

10 - (-6)

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

3+5

16/8

2

All the solutions are,

⇒ x = 1/2 (w- v)

⇒ x = (b - 9)/(a - 2)

⇒ x = (4 + w) / (7 - v)

⇒ x = 2 / (v + w)

⇒ x = 7v/(3w - 4)

Given that;

Expressions are,

⇒ 6x + v = 4x + w

⇒ ax + 9 = 2x + b

⇒ 7x - w = vx+4

⇒ 6 - wx = vx + 4

⇒ 3(wx - v) = 4(x + v)

We can simplify as;

⇒ 6x + v = 4x + w

⇒ 6x - 4x = w - v

⇒ 2x = w - v

⇒ x = 1/2 (w- v)

⇒ ax + 9 = 2x + b

⇒ ax - 2x = b - 9

⇒ (a - 2)x = b - 9

⇒ x = (b - 9)/(a - 2)

⇒ 7x - w = vx+4

⇒ 7x - vx = 4 + w

⇒ (7 - v) x = 4 + w

⇒ x = (4 + w) / (7 - v)

⇒ 6 - wx = vx + 4

⇒ vx + wx = 6 - 4

⇒ (v + w)x = 2

⇒ x = 2 / (v + w)

⇒ 3(wx - v) = 4(x + v)

⇒ 3wx - 3v = 4x + 4v

⇒ 3wx - 4x = 7v

⇒ (3w - 4)x = 7v

⇒ x = 7v/(3w - 4)

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Answer:

4 hours 52 minutes

Step-by-step explanation:

I think the easiest way to handle these problems is to break them into chunks of time and then add up those chunks.

7:46am to 11:46 am is 4 hrs.

11:46 to 12pm is 14 minutes.

then 12:00 to 12:38pm is 38 minutes.

4 hrs + 14 minutes + 38 minutes = 4 hours 52 minutes

Answer:

To investigate the different sizes of ponds and their effects on the garden, I followed these steps:

1. I drew several sizes of ponds on a grid paper, using the given dimensions of 18 ft2, 24 ft2, and 30 ft2. I made sure that the length and width of each pond were whole numbers. I also drew borders around the ponds to represent the tiles needed for each pond. Here is an example of how I drew a 24 ft2 pond:

| | | | | | | | | | |

| | | | | | | | | | |

|X|X|X|X|X|X|X|X|X|X|

|X|O|O|O|O|O|O|O|O|X|

|X|O|O|O|O|O|O|O|O|X|

|X|O|O|O|O|O|O|O|O|X|

|X|X|X|X|X|X|X|X|X|X|

In this drawing, X represents a tile and O represents water.

2. I recorded the number of tiles needed for each pond in a table, as well as the length and width of each pond. Here is the table I made:

Pond size (ft2) Length (ft) Width (ft) Number of tiles

18 6 3 22

24 6 4 28

30 6 5 34

3. I looked for patterns in the table and noticed that the number of tiles increased by 6 for every increase of 1 ft in width. I also noticed that the number of tiles was always equal to twice the length plus twice the width minus four.

4. I came up with a numerical expression that relates the length and width to the number of tiles needed. The expression is:

Number of tiles = 2 x Length + 2 x Width - 4

This expression works for any pond size with whole number dimensions.

By following these steps, I was able to compare different pond sizes and their tile requirements. I hope this helps you decide on the best size for your pond and garden.

________________________________________________________

MARK AS BRAINLIEST!!!

Answer:

  3·ln(x) -ln(1+x)

Step-by-step explanation:

You want to "solve" the expression ln(x³/(1+x)).

The relevant rules of logarithms are ...

  ln(a^b) = b·ln(a)

  ln(a/b) = ln(a) -ln(b)

The given log expression can be expanded as ...

  [tex]\ln{\left(\dfrac{x^3}{1+x}\right)}=\ln(x^3)-\ln(1+x)=\boxed{3\ln(x)-\ln(1+x)}[/tex]

Answer:

20 x 20 x 20 x 20 × 15 × 15 ×15 = 540000000

Answer: 540000000

Step-by-step explanation: Please mark

The probability of getting at least one card is a club from a deck of cards when a card is 3/4. Thus, option D is correct.

The deck of cards = 52 cards

The number of non-club cards = 13 +13 = 26 cards.

The probability of not choosing a club on the first draw = 26/52

The probability of not choosing a club on the second draw = 26/52

The probability of not choosing will be calculated so that we can estimate the probability of getting at least one card in a club.

The probability of not choosing a club on either draw = (26/52) x (26/52) The probability of not choosing a club on either draw = 676/2704

P(at least one club) = 1 - 676/2704 = 2028/2704 = 0.75

The value of 0.75 can be represented as 3/4 as a fraction value.

Therefore, we can conclude that the probability of getting the card at least one card is 3/4.

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Answer:

[tex] \sqrt{ {2}^{2} + {3}^{2} + {4}^{2} } = \sqrt{4 + 9 + 16} = \sqrt{29} [/tex]

The diagonal is √29 feet, or about 5.39 feet.

We can use proportions to solve this problem.

Let's start by setting up a proportion:

female doctors/total doctors = 27.7%/100%

We can then substitute the values we know and solve for the total number of doctors:

44,900/x = 27.7%/100%

To solve for x, we can cross-multiply and simplify:

44,900 * 100% = x * 27.7%

449,000 = 0.277x

x = 449,000/0.277

x ≈ 1,621,464.33

Rounding this to the nearest whole number, we get:

The total number of registered doctors is about 1,621,464.

The points representing the x-intercepts of the function g(x) graphed in this problem are given as follows:

(−5, 0) and (−4, 0).

On the definition of a function, the x-intercept is given by the value/values of x for which the function assumes a value of zero.

On the graph of the function, these values are the values of x for which the graph crosses the x-axis, hence the intercepts are given as follows:

Then the points are given as follows:

(−5, 0) and (−4, 0).

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The population of the district in 2037 will be approximately 107,592.

To calculate the population in 2037 using the exponential growth function,

we need to use the formula P(t) = P₀(1 + r)^t,

where P(t) is the population at time t, P₀ is the initial population, r is the annual growth rate, and t is the time elapsed in years.

In this case, the initial population (P₀) is 31,700, the annual growth rate (r) is 5% or 0.05, and the time elapsed (t) is the difference between 2037 and 2012, which is 25 years. Plugging these values into the formula, we get

P(25) = 31,700(1 + 0.05)^25

P(25) = 31,700(1.05)^25

P(25) ≈ 107,592

According to the exponential growth function, the population of the district in 2037 will be approximately 107,592. This calculation takes into account the continuous annual growth rate of 5% over the 25-year, demonstrating the power of exponential growth in modeling population increases over time.

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Answer:

x=2

Step-by-step explanation:

We can use the product rule of logarithms to simplify the equation:

㏒(x+3)+㏒x = 1

㏒[(x+3)x] = 1

(x+3)x = 10

Expanding the left side and rearranging the equation, we get:

x^2 + 3x - 10 = 0

We can now use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a

Where a = 1, b = 3, and c = -10

x = (-3 ± √(3^2 - 4(1)(-10))) / 2(1)

x = (-3 ± √49) / 2

x = (-3 ± 7) / 2

So x can be equal to -5 or 2. We need to check which solution, if any, is extraneous by plugging each one into the original equation and verifying that it is valid:

㏒(-5+3)+㏒(-5) ≠ 1

㏒(2+3)+㏒(2) = 1

Therefore, the solution to the equation is x = 2.

Answer:

27

Step-by-step explanation:

let us assign variables and create an equation

15x+14x=29x=6003

x=27

thanks

The statements regarding the mean absolute deviation of 4.3 are classified as follows:

The mean absolute deviation for this problem is given as follows:

4.3.

Meaning that on average, the temperatures vary from -4.3 degrees (lowest temperature) to +4.3 degrees(highest temperature) from the average temperature.

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They provide insight into whether one Restaurant's drive-thru service is faster than the other. Option B is the correct answer.

The research question in this scenario is "Is there a statistically significant difference in drive thru service times for Wendy's and McDonald's?" This question is asking whether the mean service times for the two restaurants are significantly different or not.

To test this claim, a hypothesis test can be performed using the sample means and standard deviations provided for both Wendy's and McDonald's. The null hypothesis would be that the mean service times for both restaurants are equal, and the alternative hypothesis would be that they are not equal. A two-sample t-test can be used to test this hypothesis, assuming equal variances.

The results of the hypothesis test will indicate whether there is sufficient evidence to reject the null hypothesis and conclude that there is a significant difference in service times between the two restaurants or not. Based on the research question, the conclusion would provide insight into whether one restaurant's drive-thru service is faster than the other.

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Considering the inverse function definition, we have that:

a) [tex]f^{-1}(4) = 6[/tex]

b) f(-5) = -2.

To find the inverse function that exchanges the x and y-coordinates, we can follow these steps:

Hence, the situation can be resumed as follows:

If f(x) = y, then [tex]f^{-1}(y) = x[/tex], which is used to obtain the numeric values for both functions in the context of this problem.

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Answer:

∠ DCF = 45°

Step-by-step explanation:

given AB is parallel to CD , then

∠ BAF and ∠ AEC are alternate angles and are congruent , that is

∠ AEC = ∠ BAF = 75°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ AEC is an exterior angle of Δ CEF , then

∠ DCF + ∠ CFA = ∠ AEC

∠ DCF + 30° = 75° ( subtract 30° from both sides )

∠ DCF = 45°

In the word problem given above, the solution is 177 approximately.

Let's break down the information given and assign variables to the unknown quantities.

Let

x = Number of three-point field goals made

2x - 59 = Number of two-point field goals made (59 less than double the number of three-point field goals)

(2x - 59) - 27 = Number of free throws made (27 less than the number of two-point field goals)

We can now set up an equation based on the total number of points as follows.

3x + 2(2x - 59) + ((2x - 59) - 27) = 859

Simplifying the equation:

3x + 4x - 118 + 2x - 86 = 859

9x - 204 = 859

9x = 859 + 204

9x = 1063

x = 1063/9

x = 118.22

2x - 59 = 236.44 - 59

= 177.44

≈ 177

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Rebecca Liskow was the top scorer in a women's professional basketball league for the 2006 regular season, Vith a total of 858 points- The number of two-point field goals that Rebecca made was 59

less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 27 less than the number of Wo-point field goals she made. Find how

Manv free throws, two-point field

and three-point field qoals Rebecca Liskow made during the 2006 reaular season.

The vertical number line would represent the height above ground level.

The total distance of the waterfall is:

So, the opposite distance from where you are eating lunch would be:

Therefore, the drone would need to fly up 1.8 miles in the air..

Similarly, to find the opposite distance from where you are swimming, we need to subtract the distance of the path to the bottom from the total distance of the waterfall.

So, the opposite distance from where you are swimming would be:

In this problem, the value of zero represents the top of the waterfall where you and your friend are currently standing.

Let's say the distance from the top of the waterfall to the bottom is d miles. So, the total distance you hike to reach the bottom and then back to the top would be 2d miles.

Now, if you hike down to go swimming, the absolute value of the distance you cover would be |d|.

And if you hike back to the top, the absolute value of the distance you cover would be |-d| = |d|.

Since both distances are equal, we can say that you hiked the same distance in both directions.

let's first change the mixed fraction to an improper fraction.

[tex]\stackrel{mixed}{3\frac{1}{7}}\implies \cfrac{3\cdot 7+1}{7}\implies \stackrel{improper}{\cfrac{22}{7}} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{22}{7} \right)^7\implies \cfrac{22^7}{7^7}\implies \cfrac{2494357888}{823543}[/tex]

Answer:

The answer is 5.875

Step-by-step explanation:

Negatives cancel out, so you're essentially just dividing 47 into 8 parts, which equals 5.875. Hope it helps :)

Answer:

5.875

Step-by-step explanation:

[tex]\frac{-47}{-8}[/tex]

Remember, two negatives equal a positive.

[tex]\frac{47}{8}[/tex]

47/8=5.875

The probabilities are, 1) 0.25, 2) 0.25, 3) 0.5, 4) 0.5 and 5) 0.25

1) Calculating the ratio of favorable outcomes (blue or green marbles) to all possible outcomes (marbles) can help us determine the likelihood of pulling a blue or green marble from the given bag.

There are a total of 20 marbles in the bag:

3 blue marbles, 2 green marbles, 8 yellow marbles, 4 red marbles, and 3 orange marbles.

Favorable results equal 3 (blue) + 2 (green), which adds up to 5 (blue or green marbles).

The likelihood of drawing a blue or green marble is thus:

Probability = Positive results / Total results = 5 / 20 = 1/4 = 0.25

2) There are 52 cards altogether in a normal deck, with 13 cards in each of the four suits (hearts, diamonds, clubs, and spades).

Calculating the ratio of the number of hearts to the total number of cards is necessary because we want to know the likelihood of selecting a card that has a heart on it.

There are 13 hearts total.

As a result, the likelihood of selecting a card with a heart on it is:

Probability is calculated as follows: 13/52 (the number of hearts) or 1/4 (0.25).

3) You need to know the total number of possible outcomes as well as the number of favorable outcomes if you have the choice of receiving an A, B, C, or F for a paper and you want to calculate the likelihood of receiving an A or B.

There are four alternative outcomes in this situation (A, B, C, and F), and there are two (A and B) that are more favorable.

Consequently, the likelihood of receiving an A or B on the paper is:

P(A or B) = Number of positive results / Total number of possible results = 2 / 4 = 0.5

4) There are only two outcomes that can occur when a fair coin is flipped: heads or tails.

Since the coin is impartial and fair, there is an equal chance of receiving heads or tails.

The likelihood of achieving a heads or tails result on a coin flip is therefore:

Probability = 1 (number of favorable outcomes) / 2 (total number of possible outcomes) = 1/2 = 0.5

5) Calculate the ratio of the number of favorable outcomes (pulling a 3 or a 7) to the total number of possible outcomes (all numbers) if the bag includes the numbers 1–8 inclusive and we want to know the likelihood of drawing a 3 or a 7.

The bag has the following sum of numbers: 8 total numbers

If you draw a 3 or a 7, you have the following chances of success:

Positive results: 2 (3 and 7).

As a result, the likelihood of getting a 3 or a 7 is:

Probability = Positive results / Total results = 2 / 8 = 1/4 = 0.25

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1. Initial prediction for the data set with smaller Mean Absolute Deviation was Period A. Prediction was wrong.

2. The Mean Absolute Deviation for Period A is 1.8 and Period B, 1.1

This means that period B has a smaller Mean absolute deviation.

We start by finding the mean for each set;

Period A: Mean = (1×92 + 1×94 + 3×95 + 1×96 + 2×97 + 1×99 + 1×100)/10

= 960/10

= 96

Period B: Mean = (1×94 + 3×95 + 1×96 + 4×97 + 1×98)/10

= 961/10

= 96.1

Period A:

Mean Absolute Deviation = ((92-96) + (94-96) + 3(95-96) + (96-96) + 2(97-96) + (99-96) + (100-96))/10

Mean Absolute Deviation = (4 + 2 + 3 + 0 + 2 + 3 + 4)/10

Mean Absolute Deviation = 1.8

Period B:

Mean Absolute Deviation = ((94-96.1) + 3(95-96.1) + (96-96.1) + 4(97-96.1) + (98-96.1))/10

Mean Absolute Deviation = (2.1 + 3.3 + 0.1 + 3.6 + 1.9)/10

Mean Absolute Deviation = 1.1

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For the given quadratic equation we have:

Vertex = (-3/2, 0)

Axis of symmetry x = -3/2

y-interept: y = 9

x-intercept: x = -3/2

First we can find the vertex, is at the value of x equal to minus the lineal coefficient over two times the leading coefficient.

x = -b/2a

So here the vertex is at:

x = -12/(2*4) = -3/2

So the axis of symmetry is also at that value:

x = -3/2

Evaluating there we will get the y-value of the vertex:

y = 4(-3/2)² + 12*(-3/2) + 9 = 0

The vertex is at (3/2, 0)

The y-intercept is equal to the constant term, in this case 9.

The x-intercepts are at:

[tex]x = \frac{-12 \pm \sqrt{12^2 - 4*4*9} }{2*4} \\\\x = \frac{-12 \pm 0 }{8}\\\\[/tex]

So the x-intercept is at x = -3/2

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Answer:

40π inches

Step-by-step explanation:

What is the formula for the circumference of a circle?

The formula for the circumference of a circle is:

(where C is the circumference and r is the radius)

If the radius of the circle is 20 inches, then its circumference in terms of π would be:

Therefore, the circumference of a circle when the radius is 20in is 40π inches.

Answer:

C = 40π

Step-by-step explanation:

To calculate the circumference of a circle, we will use the formula

C = 2πr

And we're asked to find C in terms of pi.

So all I need to do is plug in 20 for the radius, and then multiply.

I plug in 20 for the radius, r:      C = 2π × 20

Multiply:                                       C = 40π

Therefore, C = 40π.

If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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The statement that are consistent with the guidelines for hitching trailers are:

A. Trailers must be connected to the tow vehicle before loading.

D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.

Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.

Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.

Therefore the correct option is A and D.

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