A hippopotamus had a mass of 27.6 kg at birth.
At two months old, it had a mass of 75.1 kg.
By what percentage did its mass increase over these two months?
Give your answer to the nearest 1%.

To solve this problem, Tyrone needs to know the rate of speed at which Amanda will be traveling, as this will affect how much gas she will need.

Tyrone didn't give us enough details to remedy the issue. Tyrone needs to know Amanda's speed in order to address the issue because it will determine how much gas she would use. He also needs to know the type of vehicle Amanda will be driving and the fuel efficiency of that vehicle. Knowing these factors will allow Tyrone to calculate how much gas Amanda will need for her trip.

The rate of speed is measured in units such as miles per hour (mph), kilometers per hour (km/h), or meters per second (m/s). The rate of speed will vary depending on the type of vehicle and the conditions of the road.

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The box plot would show the distribution of Tori's training runs and provide insights into the Central tendency and variability of the data.

A box plot, also known as a box-and-whisker plot, is a visual representation of the distribution of a dataset. It shows the median, quartiles, and range of the data. The median is the middle value of the dataset, the first quartile is the value that separates the lowest 25% of the data from the rest, and the third quartile is the value that separates the lowest 75% of the data from the rest. The range is the distance between the minimum and maximum values of the data.

To create a box plot for Tori's training runs, you would first order the data from smallest to largest: 6, 7, 8, 8, 11, 12, 13, 15, 16, 16, 20. Then, you would find the median (the middle value), which is 12.5. Next, you would find the first quartile (the value that separates the lowest 25% of the data from the rest), which is 8, and the third quartile (the value that separates the lowest 75% of the data from the rest), which is 16. Finally, you would calculate the range (the distance between the minimum and maximum values), which is 14 (20 - 6).

To draw the box plot, you would draw a rectangle with the bottom edge at the first quartile and the top edge at the third quartile. Inside the rectangle, draw a line at the median. Then, draw whiskers (lines) from the edges of the rectangle to the minimum and maximum values of the data (6 and 20). Any outliers (values that are more than 1.5 times the interquartile range away from the nearest quartile) can be plotted as individual points outside of the whiskers.

Without a visual representation of the data, it is difficult to say which box plot represents the data. However, the box plot would show the distribution of Tori's training runs and provide insights into the central tendency and variability of the data.

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Answer:

c

Step-by-step explanation:

Answer:

im to lazy to do an equation

Step-by-step explanation:

Han's retirement account earns $247,163.25 in simple interest.

To find the simplest interest, we need to use the formula:

Simple Interest = Principal × Rate × Time

In this case, the Principal is $410,000 and the Rate is $15,785 per year. We don't know the time period, but we can solve for it using the formula:

Time = Simple Interest ÷ (Principal × Rate)

Plugging in the values, we get:

Time = $15,785 ÷ ($410,000 × 1) = 0.0385 years

Therefore, the simplest interest is:

Simple Interest = $410,000 × $15,785 × 0.0385 = $247,163.25

So Han's retirement account earns $247,163.25 in simple interest.

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Using the Binomial probability distribution,

the probability that sheer guesswork will yield exactly 18 correct answers is ²⁷C₁₈(0.2)¹⁸(0.8)⁹

We have given that,

total number of multiple choice questions= 27

each question has number of possible answer

= 5

but only one is correct .

we have to find out the probability that sheer guesswork will yield 18 correct answer.

P(C) = probability of answering any question correctly = (1 / 5) = 0.2

P(W) = probability of answering any question wrongly = (4/ 5) = 0.8

Using the Binomial probability distribution,

P(X= x) = ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

Probability of answering exactly 18 questions correctly = P(X=18) = ²⁷C₁₈(0.2)²⁸(0.8)⁹

Hence, the probability value is ²⁷C₁₈(0.2)²⁸(0.8)⁹

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In Luther v. Borden, 1849, it is true that the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government.

Luther v. Borden, 1849 was a United States Supreme Court case that decided whether the court should intervene in a political question, specifically the Rhode Island Dorr Rebellion of 1841 to 1842. In this case, the court declined to do so and ruled that the authority to decide whether a rebellion against a state government exists or not, rests solely with the United States government. The Court refused to support either side in the rebellion and thus upheld the lower court's decision.

The decision is well-known for declaring that the federal government must guarantee a "republican form of government" in the states. In this context, Webster argued that people possess the right to overthrow their government as they possess the ultimate sovereignty. True.

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Answer:

speeds of Juan and Tiauna  are 0.1984 m/s and 0.1851 m/s respectively

Step-by-step explanation:

Given:  Juan's time in the race was 5.04 seconds and Tiauna's was 5.40 seconds

Let speed of Juan and Tiana's be J m/s and T m/s respectively

In the race both Juan and Tiauna will cover equal distance. Therefore, the speed and time would have reciprocal relationship

Speed ∝ 1/Time

This means J = 1/5.04 m/s

J= 0.1984 m/

and, T = 1/5.40 m/s

T= 0.1851 m/s

Therefore, speeds of Juan and Tiauna  are 0.1984 m/s and 0.1851 m/s respectively

Answer:

1/2 m

Step-by-step explanation:

It is because 4 = 4/1, 8 = 8/1 and 4/1 divided by 8/1 is also equal to 4/1 times by 1/8 which equals 4/8.

4/8 is simplified to make 1/2m

hope this helps mark brainliest

Jadi, ada 35 siswa yang memilih Hidayat sebagai ketua kelas.

Jika pemilihan ketua kelas melibatkan 250 siswa dan persentase pemilih Hidayat adalah 14%, kita dapat menghitung jumlah siswa yang memilih Hidayat sebagai berikut:

Jumlah siswa yang memilih Hidayat = Persentase pemilih Hidayat × Jumlah siswa

= 0.14 × 250

= 35

Jadi, ada 35 siswa yang memilih Hidayat sebagai ketua kelas.

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The distance of Saturn from the sun is 9.5 astronomical units.

Orbital period p of a planet and the planet’s distance from the sun, a in astronomical units are related by:

\(p = a^{3/2}\)

The orbital period is the time a given astronomical object takes to complete one orbit around the sun.

Given that Saturn's orbital period is 29.5 years.

So, \(29.5 = a^{3/2}\)

\(a = 29.5^{2/3}\)

a = 9.5 au

Therefore, the distance of Saturn from the sun is 9.5 astronomical units.

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Answer:

\(10cm^2\)

Step-by-step explanation:

We are given that

Two parallel sides of trapezoid are

\(a=1\frac{1}{2}cm=\frac{3}{2}=1.5cm\)

\(b=3\frac{1}{2}=3+0.5=3.5 cm\)

Height of trapezoid, h=4 cm

We have to find the area of the trapezoid.

We know that

Area of trapezoid=\(\frac{1}{2}(a+b)h\)

Where a and b are two parallel sides

h=Height of trapezoid

Using the formula

Area of trapezoid=\(\frac{1}{2}(1.5+3.5)\times 2\)

Area of trapezoid=\(10cm^2\)

Answer: ∠1 = 90°

Step-by-step explanation:

      There are a few steps we will take to solve this problem. In each step, I will write an equation to help us solve, then use inverse operations to solve.

      First, we will use the exterior angles theorem to find the measurement of ∠3 (this will help us solve for ∠2, then for ∠1).

89° = 51° + ∠3

∠3 = 38°

      Next, we will find the measurement of ∠2 since we know ∠2 plus ∠3 is 90 degrees, as shown by the perpendicular lines and the box.

90° = ∠3 + ∠2

90° = 38° + ∠2

∠2 = 52°

      Lastly, we will solve for ∠1. We know that there are 180 degrees in a triangle.

180° = 38° + ∠1 + ∠2

180° = 38° + ∠1 + 52°

180° = 90° + ∠1

∠1 = 90°

Answer:

90

Step-by-step explanation:

I started by finding angle 5

180 - 89 = 91  Supplemental angles

Then I found angle 3

The sum of the interior angles of a triangle is 180

180-89-91 = 38

Angle2 and 3 are complementary angles

90- 38 =52

the sum of the interior angles of a triangle is 180

Angle 1

180 - 52 - 38 = 90

Answer: 28

Step-by-step explanation:

28 is thhe missing number

To solve this problem, we'll use the concept of permutations.

First, we need to choose a woman for the position of president, then another woman for the position of vice president, and finally, a man for the treasurer position.

1. President: Since there are 20 women, we have 20 options for the president position.
2. Vice President: We're left with 19 women (since we already chose one for the president), so we have 19 options for the vice president position.
3. Treasurer: Since there are 17 men, we have 17 options for the treasurer position.

Now, multiply the number of options for each position together to find the total number of ways to form the committee:

20 (president) × 19 (vice president) × 17 (treasurer) = 6,460 ways.

So, there are 6,460 possible ways to choose three different members with women as president and vice president and a man as treasurer.

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9514 1404 393

Answer:

  a) x = {-1, 3, 4}

  b) (0.472, 13.128)

  c) (3.528, -1.128)

  d) x < 0.472 U x > 3.528

  e) 0.472 < x < 3.528

Step-by-step explanation:

This is a cubic (odd degree) function with a positive leading coefficient, so it will be increasing until the first turning point, and after the last turning point. It will be decreasing between the turning points.

a) A graph shows the zeros to be x = -1, x = 3, x = 4.

b) A graph shows the local maximum to be approximately (0.472, 13.128). The x-coordinate of this point is exactly 2-√(7/3).

c) The local minimum is about (3.528, -1.128). Its x-coordinate is exactly 2+√(7/3).

d) As stated above, the increasing intervals are (-∞, 0.428) ∪ (3.528, ∞).

e) The decreasing interval is (0.428, 3.528).

_____

Additional comments

The sum of odd-degree term coefficients is the same as the sum of coefficients of even-degree terms, so you know one of the roots is -1. Factoring that out gives the quadratic x^2 -7x +12 = (x -3)(x -4), so the other two roots are 3 and 4.

The derivative is 3x^2 -12x +5 = 3(x -2)^2 -7, so its roots (turning points of f(x)) are 2±√(7/3).

I find a graphing calculator can show me the roots and turning points easily.

The sum of the radii of the two circles C₁ and C₂ is 4 units

Given data

Two circles C₁ and C₂ have their centres at the point (3,4)

The centre of C3 is at the point (0,0) and its radius is 2

And C1 and C2 is touching C3

Since the two circles have same centre and touch a third circle at same point, The two circles have equal radius r

The distance, d from the origin using point x and y given is solved for as follows:

d^2 = x^2 + y^2

d^2 = 3^2 + 4^2

d^2 = 9 + 16

d^2 = 25

d = √25

d = 5

Radius if the two circles is 5 - 3 = 2

One of the radius is 2 hence sum of the two radii

= 2 + 2

= 4 units

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The value of x is 12

Similar triangles are triangles that have the same shape, but their sizes may vary. For two triangles to be similar, the corresponding angles of the triangles must be equal.

Also the ratio of the corresponding sides of the similar triangles are equal.

Therefore ;

x/4 = 36/x

x² = 36×4

x² = 144

x = √144

x = 12

therefore the value of x using similar triangles is 12.

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Answer:

Four racers are racing on a track.

Raheem covers 26% of the track, Lila covers 38 of the track, Khalid covers 0.3 of the track, and Juanita covers 0.24 of the track.

List the people in order by the distance on the track each person covers from least to greatest.

Step-by-step explanation:

The distance on the track each person covers from least to greatest will be 0.24, 0.26, 0.30, and 0.375.

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

Four racers are racing on a track. Raheem covers 26% of the track, Lila covers 3/8 of the track, Khalid covers 0.3 of the track, and Juanita covers 0.24 of the track.

Convert all the numbers into decimal values, then we have

26%, 3/8, 0.3, 0.24

0.26, 0.375, 0.30, 0.24

The distance on the track each person covers from least to greatest will be

0.24, 0.26, 0.30, 0.375

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Answer:

i believe JL=12

Step-by-step explanation:

Answer:

JL=12

Done

_________________

The solution of the algebraic equation is as follows:

x = -1

y = -3

Algebraic equation can be solved using different method such as elimination and substitution method.

Hence, let's solve the algebraic equation by substitution method as follows:

x + y = - 4

y = 2x - 1

Substitute the value of y in equation(i)

x + 2x - 1 = -4

3x - 1 = - 4

3x = -4 + 1

3x = -3

divide both sides by 3

x = - 3 / 3

x = -1

Therefore, let's solve for y as follows:

y = 2x - 1

y = 2(-1) - 1

y = -2 - 1

y = -3

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The solution type of the algebraic equation is one solution

From the question, we have the following parameters that can be used in our computation:

x + y = - 4

y = 2x - 1

Make y the subject in the first equation

y = -x - 4

y = 2x - 1

In the above equations we can see that

Both equations have different slopes and they are linear equations

This means that they would intersect at a point

So, the solution type is consistent and independent

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We will have that the pie chart should be:

Answer:

1/8 Kg de miel.

Step-by-step explanation:

Answer:

i dont speak spanish but yuhh get it ig

Step-by-step explanation:

The mean height of the students in the class is 168.06 cm. The median height is 167.5 cm, and the modal height is in the range of 166-169 cm.

To find the mean, median, and modal height of the students in the class, we can use the given distribution of heights.

The distribution of heights and the corresponding number of students are as follows:

Height (in cm) No. of students

160-163 15

163-166 118

166-169 142

169-172 127

172-175 18

Mean:

To find the mean height, we can calculate the weighted average using the midpoint of each height range and the number of students in each range.

Mean = (15 * 161.5 + 118 * 164.5 + 142 * 167.5 + 127 * 170.5 + 18 * 173.5) / (15 + 118 + 142 + 127 + 18)

Mean = 168.06 cm

Median:

The median is the middle value of the data when arranged in ascending order. Since the distribution is already provided, we can determine the median by finding the midpoint of the total number of students.

Total number of students = 15 + 118 + 142 + 127 + 18 = 420

Median position = (420 + 1) / 2 = 210.5

The median falls within the 166-169 cm height range. Therefore, the median height is 167.5 cm.

Modal height:

The modal height is the height value that appears most frequently in the data. In this case, the height range with the highest number of students is the modal height. According to the data, the 166-169 cm height range has the highest frequency, with 142 students.

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===================================================

Explanation:

See the diagram below. It shows there are 10 sides, so n = 10.

We'll plug this value of n into the formula below to find the sum of all ten interior angles

S = sum of interior angles

S = 180(n-2)

S = 180(10-2)

S = 180(8)

S = 1440 degrees

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

A different approach:

Let's assume this polygon is a regular polygon. This means each angle is congruent to one another.

We have n = 10 sides, so each exterior angle is E = 360/n = 360/10 = 36 degrees.

Each interior angle adjacent to this 36 degree exterior angle is

180-E = 180-36 = 144 degrees

Since we have 10 equal angles of 144 degrees each, so overall the interior angles add to 10*144 = 1440 degrees

Side note: if this polygon is not a regular polygon, then this section does not apply. You would use the first method instead.