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RSB [31]
2 years ago
9

Anabelle collected data on the favorite superhero of the students in her class. The table shows the relative frequencies of rows

for the data collected: Favorite Superhero Superman Spiderman Batman Wonder Woman Row totals Boys 0.21 0.25 0.06 0.11 0.63 Girls 0.25 0.02 0.03 0.07 0.37 Column totals 0.46 0.27 0.09 0.18 1 Based on the data, which superhero is most likely to be the favorite
Mathematics
1 answer:
valentinak56 [21]2 years ago
8 0

Considering the proportions given in the table, the superhero is most likely to be the favorite is Superman.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Looking at the table, the proportions associated with each superhero is given as follows:

  • Superman: 0.46.
  • Spiderman: 0.27.
  • Batman: 0.09.
  • Wonder woman: 0.18.

As it has the highest proportion, the superhero is most likely to be the favorite is Superman.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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Angle TUW measure (10x – 7)° and angle VUW measures (5x + 13)°. Find the measure of angle TUV
Nadusha1986 [10]

Answer:66

Step-by-step explanation:

The first thing we should know is that a kite has two pairs of adjacent congruent sides, so to find the value of x we are going to set the equations equal to each other.                  The value of x is 4. After, plugging the value of x into the equations the measure of both angles is 33. Angle TUV is made up of angles TUW, and VUW because of the measure of angle TUV is 66.

10x-7=5x+13

5x=20

x=4    

10(4)-7=33

5(4)+13=33

7 0
3 years ago
D.sqrt(2+x^/2)<br> Solve this question please
lidiya [134]

Answer:

Option a.

Step-by-step explanation:

By looking at the options, we can assume that the function y(x) is something like:

y = \sqrt{4 + a*x^2}

y' = (1/2)*\frac{1}{\sqrt{4 + a*x^2} }*(2*a*x) = \frac{a*x}{\sqrt{4 + a*x^2} }

such that, y(0) = √4 = 2, as expected.

Now, we want to have:

y' = \frac{x*y}{2 + x^2}

replacing y' and y we get:

\frac{a*x}{\sqrt{4 + a*x^2} } = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}

Now we can try to solve this for "a".

\frac{a*x}{\sqrt{4 + a*x^2} } = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}

If we multiply both sides by y(x), we get:

\frac{a*x}{\sqrt{4 + a*x^2} }*\sqrt{4 + a*x^2} = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}*\sqrt{4 + a*x^2}

a*x = \frac{x*(4 + a*x^2)}{2 + x^2}

We can remove the x factor in both numerators if we divide both sides by x, so we get:

a = \frac{4 + a*x^2}{2 + x^2}

Now we just need to isolate "a"

a*(2 + x^2) = 4 + a*x^2

2*a + a*x^2 = 4 + a*x^2

Now we can subtract a*x^2 in both sides to get:

2*a = 4\\a = 4/2 = 2

Then the solution is:

y = \sqrt{4 + 2*x^2}

The correct option is option a.

7 0
3 years ago
What is the volume of the following triangular pyramid?
Readme [11.4K]

Answer:

The volume of the triangular  pyramid

         V = 566.66 in³

Step-by-step explanation:

<u><em>Step(i):-</em></u>

The volume of the triangular  pyramid

            = \frac{1}{3} X base area X height

Base area  = Area of the triangle

             A= \frac{1}{2} X base  X height

 Given the base of the triangle  (b) = 17in

  Given Height of the triangle (h ) =10 in

    A= \frac{1}{2}( 17 ) (10) = 85

The base area of the pyramid ( A) = 85 in²

<u><em>Step(ii):-</em></u>

<u><em>Given the height of the pyramid  (h) = 20in</em></u>

The volume of the triangular  pyramid

            = \frac{1}{3} X base area X height

The volume of the triangular  pyramid

         = = \frac{1}{3}( 85)(20) = 566.66

<u><em>Final answer:-</em></u>

The volume of the triangular  pyramid

         V = 566.66 in³

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