Find the area and side length of square ACEG.

Answer:

13 egrets

Step-by-step explanation:

According to the Question,

Given That, Molly is birdwatching at the coast. She has seen 2 egrets and 4 other birds. Considering this data.

Therefore, The next 39 birds Molly sees would you expect to be egrets is

⇒ (39/6)×2 =  13 egrets.

Answer:

x>2

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\mathsf{(4x - 3) > 5}\)

\(\mathsf{4x - 3 > 5}\)

\(\large\text{ADD 3 to BOTH SIDES}\)

\(\mathsf{4x - 3 + 3 > 5 + 3}\)

\(\large\text{CANCEL out: -3 + 3 because that gives you 0}\)

\(\large\text{KEEP: 5 + 3 because it helps solve for x}\)

\(\mathsf{5 + 3 = \bf 8}\)

\(\large\text{New EQUATION: }\mathsf{4x > 8}\)

\(\large\text{DIVIDE 4 to BOTH SIDES}\)

\(\mathsf{\dfrac{4x}{4}>\dfrac{8}{4}}\)

\(\large\text{CANCEL out: } \mathsf{\dfrac{4}{4}}\large\text{ because that gives you 1}\)

\(\large\text{KEEP: }\mathsf{\dfrac{8}{4}}\large\text{ because it helps you compares to x}\)

\(\mathsf{\dfrac{8}{4}=\bf 2}\)

\(\boxed{\boxed{\large\textsf{Therefore your ANSWER: \boxed{\mathsf{\bf x > 2}}}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

We can expect  4 giant swallowtails to visit Ellie's garden.

In total, there were 96 butterfly visits (32 monarchs + 56 gulf fritillaries + 8 giant swallowtails).

Now, we can calculate the probability of a giant swallowtail visit:
Probability

= (number of giant swallowtails) / (total butterfly visits)

= 8/96

= 1/12

Given that 48 butterflies visit her garden, we can expect the number of giant swallowtails to be:
Expected giant swallowtails

= (total butterflies) × (probability of giant swallowtails)

= 48 × (1/12)

= 4

So, we can expect approximately 4 giant swallowtails to visit Ellie's garden out of the 48 butterflies.

To learn about probability: https://brainly.com/question/13604758

#SPJ11

Answer:

the integer in question lies between 13 and 14.

Step-by-step explanation:

Review the perfect squares in the neighborhood of 194.  The first that came to my mind was 225 (the squre of 15), and then 196 (the square of 14), and then 169, the square of 13.  

Since 169 < x^2 < 196, the integer in question lies between 13 and 14.

Check with a calculator:  √194 ≈ 13.93

Step-by-step explanation:

28 dollars is the answer

The circled section represents the outliers in the data.

In the context of the given information, the circled section represents data points that deviate significantly from the majority of the data. Outliers are observations that lie far away from the central tendency of the dataset, and they can have a notable impact on statistical analysis.

In this case, the child who solved the Rubik's Cube in 21.7 seconds is an outlier as their time is significantly lower than the other children. Similarly, the child who took 72 seconds to solve the cube is also an outlier, as their time is much higher than the majority of the children who completed it in around 7 seconds. Outliers can provide valuable insights into the distribution and behavior of the data, and they are often examined separately due to their unique characteristics.

learn more about "outliers":- https://brainly.com/question/3631910

#SPJ11

The number of words he still need to write in one of his writing sessions would be = 95 minutes.

A graduate is an individual that has completed studies in an institution for a number of years and is being issued a certificate afterwards.

The number of words committed for a day by Nick = 500 words.

He writes 120 words = 30 mins

The total number of words remaining = 500 - 120 = 380 words.

Therefore the time it will take to finish the remaining 380 words in the day = X mins.

If 30 mins= 120 words

X mins = 380 words.

Make X mins the subject of formula;

X mins = 380× 30/120

X mins = 11,400/120

X mins= 95 minutes.

Learn more about word count here:

https://brainly.com/question/29242599

#SPJ1

Answer:

850

Step-by-step explanation:

2×400=800

2×20=40

2×5=10

800+40+10=850

The magnitude of the correlation coefficient indicate the "strength" about the variables.

In the financial and investing industries, correlation is a statistic which indicates the extent that two securities change in relation to one another.

Correlations are employed in advance portfolio management and are calculated as correlation coefficient, that must be between -1.0 and +1.0.

Some key features regrading correlation are-

To know more about correlation, here

https://brainly.com/question/11811889

#SPJ4

The total number of rankings is the product of the number of students at each step. Total number of different rankings possible = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 10! ≈ 3.6 × 10^6.

Given that an introductory statistics class has 4 freshmen and 6 sophomores. The students are ranked based on their performance. Therefore, it is required to find the number of different rankings possible. Step 1: Find the total number of students in the class. Total number of students in the class = number of freshmen + number of sophomores = 4 + 6 = 10Step 2: Find the number of ways to select the first-ranked student. There are 10 students to choose from for the first position. Therefore, the number of ways to select the first-ranked student is 10.Step 3: Find the number of ways to select the second-ranked student. There are 9 students remaining after selecting the first-ranked student. Therefore, the number of ways to select the second-ranked student is 9.Step 4: Find the number of ways to select the third-ranked student.There are 8 students remaining after selecting the first two-ranked students.

Therefore, the number of ways to select the third-ranked student is 8.Step 5: Continue the process until all students are ranked. The total number of rankings is the product of the number of students at each step.Total number of different rankings possible = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 10! ≈ 3.6 × 10^6.

To know more about number visit:-

https://brainly.com/question/3589540

#SPJ11

\(_____________________________________\)

Akala ko ako lang Pilipino dito

\(_____________________________________\)

If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.

A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. 

Let us take the Example.

Suppose f(x)= x/4 and g(x)=4x.

Let x=1

then f(g(x))= f(g(1))=f(4)=1

and g(f(x))=g(f(1))=g(1/4)=1

Here, f(g(x))=g(f(x))=1

Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.

To know more about Inverse of  a function Visit:

https://brainly.com/question/2541698

#SPJ4

According to the statement, the new flavour received 3 votes for every vote received by the original flavour. Denoting:

• x = # of votes of the original flavour,

• n = # of votes of the new flavour.

We can write the following equation for the number of votes:

Now, according to the statement, the number of votes of the new flavour is n = 723, replacing this number in the equation above and solving for x, we get:

Answer

The original flavour received 241 votes.

The inverse of the function f(x) = √x² - 9, x ≥ 3 is f⁻¹(x) = √(x² + 9)

The inverse of a function written as f⁻¹ is such that ff⁻¹(x) = x

Given the function f(x) = √x² - 9, x ≥ 3, to find its inverse, we proceed as follows

Since f(x) = √(x² - 9)

Let f(x) = y

So, y = √(x² - 9)

Now, taking the square of both sides of the equation, we have that

y = √(x² - 9)

y² = [√(x² - 9)]²

y² = x² - 9

Now, adding 9 to both sides of the equation, we have that

y² + 9 = x² - 9 + 9

y² + 9 = x² + 0

y² + 9 = x²

Now, taking square root of both sides of the equation, we have that

x = √(y² + 9)

Now, replacing y with x and x with f⁻¹(x), we have that

x = √(y² + 9)

f⁻¹(x) = √(x² + 9)

So, the inverse is f⁻¹(x) = √(x² + 9)

Learn more about inverse of a function here:

https://brainly.com/question/29497740

#SPJ4

The fries costs $1.49

Addition in math is a process of combining two or more numbers.

Given that, Keith ordered a hamburger for $2.25, a medium raspberry ice tea for $1.25, and a small sundae for  $1.25. He also ordered French fries. All of these items totalled $6.24.

Let the price of fries be x,

Therefore,

$2.25 + $1.25 + $1.25 + x = $6.24

$4.75 + x = $6.24

x = $6.24 - $4.75

x = $1.49

Hence, the fries costs $1.49

Learn more about addition, click;

https://brainly.com/question/29560851

#SPJ1

Answer:

rhombus, or a parallelogram

Step-by-step explanation:

Answer:

The answer is 1800!

Step-by-step explanation:

Answer:

B. 1800 degrees.

Step-by-step explanation:

Just took the quiz on Edg (2020-2021)!

Corresponding z-score is approximately 1.96.Therefore, ἀ ≈ 1.96.

(a) To find the number ἀ such that Pr(Z ≤ ἀ) = 0.648, we need to find the z-score corresponding to the given probability. We can use a standard normal distribution table or a calculator to find this value.

Looking up the value 0.648 in the standard normal distribution table, we find that the corresponding z-score is approximately 0.38.

Therefore, ἀ ≈ 0.38.

(b) To find the number ἀ such that Pr(|Z| < ἀ) = 0.95, we are looking for the value of ἀ that corresponds to the central 95% of the standard normal distribution.

Since the standard normal distribution is symmetric, we need to find the z-score that leaves a probability of (1 - 0.95) / 2 = 0.025 in each tail.

Looking up the value 0.025 in the standard normal distribution table, we find that the corresponding z-score is approximately -1.96.

Therefore, ἀ ≈ 1.96.

(c) To find the number ἀ such that Pr(Z < ἀ) = 0.95, we are looking for the z-score that leaves a probability of 0.95 in the lower tail of the standard normal distribution.

Looking up the value 0.95 in the standard normal distribution table, we find that the corresponding z-score is approximately 1.645.

Therefore, ἀ ≈ 1.645.

(d) To find the number ἀ such that Pr(Z > ἀ) = 0.085, we are looking for the z-score that leaves a probability of 0.085 in the upper tail of the standard normal distribution.

Looking up the value 0.085 in the standard normal distribution table, we find that the corresponding z-score is approximately -1.44.

Therefore, ἀ ≈ -1.44.

(e) To find the number ἀ such that Pr(Z - ἀ) = 0.023, we need to find the z-score that leaves a probability of 0.023 in the lower tail of the standard normal distribution.

Looking up the value 0.023 in the standard normal distribution table, we find that the corresponding z-score is approximately 1.96.

Therefore, ἀ ≈ 1.96.

To learn more about distribution  click here:

brainly.com/question/30884412

#SPJ11

The experimental probability of the coin landing heads up is calculated by dividing the number of times the coin landed heads up (16) by the total number of flips (40). So the experimental probability of the coin landing heads up is:

P(heads up) = 16/40

Simplifying the fraction by dividing both the numerator and denominator by 8, we get:

P(heads up) = 2/5 or 0.4

Therefore, based on the results, the experimental probability of the coin landing heads up is 0.4 or 2/5.

To find the experimental probability of the coin landing heads up, you'll need to use the following formula:

Experimental probability = (Number of successful outcomes) / (Total number of trials)

In this case, the successful outcome is the coin landing heads up, which occurred 16 times. The total number of trials is 40 flips. So, the experimental probability would be:

Experimental probability (heads up) = (16 successful outcomes) / (40 total flips)

Now, divide 16 by 40 to get the probability:

Experimental probability (heads up) = 16/40 = 0.4 or 40%

So, based on the results, the experimental probability of the coin landing heads up is 40%.

Learn more about Probability here : brainly.com/question/30034780

#SPJ11

To determine whether the series [infinity] ln(n^2)/(3n^2 + 8) n = 1 is convergent or divergent, we can use the limit comparison test. By comparing it with a known convergent or divergent series, we can determine the nature of this series.

To determine the convergence or divergence of the series [infinity] ln(n^2)/(3n^2 + 8) n = 1, we can use the limit comparison test. First, we choose a known convergent or divergent series to compare it with. In this case, we can compare it with the series 1/n^2, which is a convergent p-series.

We take the limit as n approaches infinity of the ratio of the terms of the given series and the chosen series:

lim(n→∞) ln(n^2)/(3n^2 + 8) / (1/n^2)

By applying L'Hôpital's rule to the numerator and denominator, we get:

lim(n→∞) 2n/(6n) = 1/3

Since the limit is a finite positive value, the given series and the series 1/n^2 have the same convergence behavior. Therefore, the given series is convergent.

To find the exact sum of the series, additional calculations or techniques such as partial fraction decomposition may be required. However, this information is not provided, so the exact sum cannot be determined with the given information.

To learn more about partial fraction decomposition click here : brainly.com/question/30401234

#SPJ11

Answer:

d = 510 km

Step-by-step explanation:

She travelled the final 4 hours at a constant speed of 60 km/h.

distance = speed × time

distance = 60 km/h × 4 hours

distance = 240 km for the last 4 hours

She already had travelled 270 km in the first 3 hours.

d = total distance = 270 km + 240 km = 510 km

Answer: d = 510 km

An appropriate hypothesis test to determine whether scores of depression are different pre- and post-treatment would be the paired t-test.

The paired t-test is suitable in this scenario because it compares the mean scores of depression before and after the treatment within the same group of participants.

This test takes into account the paired nature of the data, where each participant is measured twice (pre- and post-treatment).

By conducting a paired t-test, the researchers can assess whether there is a statistically significant difference in depression scores before and after the treatment. This will help determine the effectiveness of the new treatment for depression.

To know more about hypothesis visit:

https://brainly.com/question/28357265

#SPJ11

The number of pattern block rhombuses that would create a hexagons is 3.

A hexagon is a six-sided polygon or 6-gon creating the outline of a cube.

A hexagon can be divided into a minimum of three rhombuses, each of which can be further divided into four rhombuses. With n being a positive integer, the result is 3n.

The total number of rhombuses that can fit in a hexagon is not limited to multiples of three, given that the total number of rhombuses dividing a hexagon can be raised by three by quartering a single component rhombus. The amount might actually be any integer larger than 7.

To know more about pattern block rhombuses

https://brainly.com/question/30628099

#SPJ4

Answer:

The sum of 25 and 16 is 41.

Step-by-step explanation:

The sum of two numbers, 25 and 16, you can break apart the addends and add them separately to simplify the process. Here's how you can do it:

Break apart the numbers into their place values: For 25, you have 20 and 5, and for 16, you have 10 and 6. This step helps you work with the place values individually.

Add the tens place: In this case, you have 20 (from 25) and 10 (from 16). Adding them gives you 30.

Add the ones place: Now you add the ones place, which is 5 (from 25) and 6 (from 16). Adding them gives you 11.

Combine the sum of the tens place and the sum of the ones place: Take the sum of 30 (from step 2) and 11 (from step 3). Adding them together gives you 41.

So, the sun is 41.

Learn more about addends here, https://brainly.com/question/29781964

#SPJ11

Answer:

wow um 20,999,999

Step-by-step explanation:

I dont think all of they are REAL friends

The surface area of one of the pieces is 6√2 square units.

To find the surface area of one of the pieces, we need to determine the area of the portion of the regular tetrahedron that lies above the plane parallel to edges AB and CD and halfway between them.

Let's consider the regular tetrahedron ABCD. The base of the tetrahedron is an equilateral triangle with side length 2. The height of the tetrahedron can be calculated using the Pythagorean theorem. Let's denote the height as h.

Using the properties of an equilateral triangle, we can determine that the height of the equilateral triangle is √3 times the side length. So, the height of the base triangle is 2√3.

Now, the height of the tetrahedron can be found by drawing a perpendicular from one of the vertices to the center of the base triangle. This height divides the tetrahedron into two congruent right-angled triangles.

Using the Pythagorean theorem, we can calculate the height (h) of the tetrahedron:

h = √(2^2 - (2√3/3)^2) = √(4 - 4/3) = √(8/3) = 2√2/√3 = 2√6/3.

The surface area of one of the pieces can be calculated as the sum of the area of the base equilateral triangle and the areas of the three congruent right-angled triangles.

The area of the base equilateral triangle is (sqrt(3)/4) * (side length)^2 = (sqrt(3)/4) * 2^2 = √3 square units.

The area of one of the congruent right-angled triangles is (1/2) * (base length) * (height) = (1/2) * 2 * (2√6/3) = √6 square units.

Therefore, the surface area of one of the pieces is:

Surface area = (3 * √3) + (3 * √6) = 3(√3 + √6) = 6√2 square units.

To know more about Area, visit

https://brainly.com/question/25292087

#SPJ11

The Greatest common divisor (GCD)  ,The greatest length that Lee can make the cords is 4 feet.

The greatest length that Lee can make using the two cords, we need to find the greatest common divisor (GCD) of the two cord lengths.

The GCD represents the largest length that can evenly divide both cord lengths without leaving any remainder. It will help us determine the maximum length that Lee can cut the cords into.

Given the cord lengths of 20 feet and 8 feet, we can find their GCD using various methods such as prime factorization or the Euclidean algorithm. Here, we'll use the Euclidean algorithm, which is efficient for finding the GCD of two numbers.

Step 1: Divide the larger number (20) by the smaller number (8).

20 ÷ 8 = 2 remainder 4

Step 2: Take the divisor (8) and divide it by the remainder (4).

8 ÷ 4 = 2 remainder 0

Since we've obtained a remainder of 0, we can conclude that the GCD of 20 and 8 is the divisor at this step, which is 4.

Therefore, the greatest length that Lee can make the cords is 4 feet. He can cut both cords into pieces of 4 feet each, with no cord left over.

To know more about Greatest common divisor.

https://brainly.com/question/30341866

#SPJ11

"If x=1 and increases by h the volume of box changes by 4(1 + h)3 - 61(1 + h)3 + 240(1 + h) - 180

The formula to calculate the volume of a box is V = a3 + 3a2b + 3ab2 + b3.
Substituting in x = 1 and h = the increase, we get:
V(1 + h) - V(1) = 4(1 + h)3 - 61(1 + h)3 + 240(1 + h) - 180

Therefore, the volume of the box changes by 4(1 + h)3 - 61(1 + h)3 + 240(1 + h) - 180 when x=1 and increases by h.

To know more about volume click on below link :

https://brainly.com/question/28058531#

#SPJ11