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Jobisdone [24]
3 years ago
7

Find the mode(s) for the given sample data. The lengths (in inches) of each snake in the Clarmont Zoo's reptile house are shown

below. 9 15 86 13 16 101 85 10 14 17 102 42.6 in. 21.3 in. no mode 16 in.
Mathematics
1 answer:
Contact [7]3 years ago
3 0

The correct option is :   no mode

<u><em>Explanation</em></u>

The given data set is:  9, 15, 86, 13, 16, 101, 85, 10, 14, 17, 102

The <u>mode is the number that is repeated more often</u> than any other number in the data set.

But here we can see that all the numbers in this data set are different. That means <u>they appear only once</u>.

So, there will be 'no mode' in this set.

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A boy's age is three times the age of his sister. Their ages together total 16 years.
jok3333 [9.3K]

Answer:

Sister's age: 4

Brother's age: 12

8 0
2 years ago
Solve each proportion, round to one decimal place.<br> 4/9=x/20
guapka [62]

In order to solve a proportion you need to cross multiply, so you would do:

4x20 and 9xX and you would get...

9x=80

then divide by nine to get

x=8.8888888889

which is technically 8.9

3 0
3 years ago
A balloon has a circumference of 28 in use the circumference to approximate the surface area of the ballon to the nearest square
nikklg [1K]

The surface area of the balloon is 249 in².

<h3>What is the surface area of the balloon ?</h3>

A balloon has the shape of a sphere. The distance round the sphere is equal to the circumference of the sphere.

Circumference of the sphere = 2πr

Where:

  • r = radius
  • π = pi = 22 / 7

Radius - circumference / 2π

28 / ( 2 x 22/7) = 4.45 inches

Surface area of a sphere = 4πr²

4 x 22/7 x 4.45² = 249 in²

To learn more about the surface area of a sphere, please check: brainly.com/question/27267844

#SPJ1

5 0
1 year ago
Find the area of the triangle formed by the origin and the points of intersection of parabolas y=− 1/3 (x−1)^2+8 and y=x^2−2x−3.
Kobotan [32]

Answer:

The area of the triangle formed by origin, and the points (4,5) and (-2,5) will be 15 sq. units.

Step-by-step explanation:

The two parabolas are y = - \frac{1}{3}(x - 1)^{2} + 8 and y = x² - 2x - 3.

Now, solving those two equations we will get the points of intersection.

So, - \frac{1}{3}(x - 1)^{2} + 8 = x^{2} - 2x - 3

⇒ - (x - 1)² + 24 = 3x² - 6x - 9

⇒ -x² + 2x - 1 + 24 = 3x² - 6x - 9

⇒ 4x² - 8x - 32 = 0

⇒ x² - 2x - 8 = 0

⇒ x² - 4x + 2x - 8 = 0

⇒ (x - 4)(x + 2) = 0

So, x = 4 or - 2.

Now, for x = 4 , y = 4² - 2(4) - 3 = 5 and the point of intersection is (4,5).

Or, for x = - 2, y = (- 2)² - 2(- 2) - 3 = 5 and the point of intersection is (-2,5).

Now, points (4,5) and (-2,5) make a straight line parallel to the x-axis at a perpendicular distance of 5 units from origin and its length is (4 - (- 2)) = 6 units.

So, the area of the triangle formed by origin, and the points (4,5) and (-2,5) will be = 0.5 × 5 × 6 = 15 sq. units. (Answer)

8 0
3 years ago
Jaidee and Kim are selling fruit for a school fundraiser.
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What is the rest of the question?
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