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storchak [24]
3 years ago
7

Fill in the missing decimal number. To decrease by 14% multiply by...

Mathematics
1 answer:
Taya2010 [7]3 years ago
7 0
To decrease by 14% multiply by 0.86
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As people exited a movie theater, they were informally surveyed about whether they enjoyed the movie or not. Males Enjoyed: 47 D
Norma-Jean [14]

Answer:

(B) a = 41%, b = 3%

Step-by-step explanation:

The result from the survey is given below:

\left|\begin{array}{c|c|c|c}&Enjoy&$Did not Enjoy&$Total\\--&--&--&--\\Male&47&13&60\\Female&53&3&56\\Total&100&16&116\end{array}\right|

The second table is given as:

\left|\begin{array}{c|c|c|c}&Enjoy&$Did not Enjoy&$Total\\--&--&--&--\\Male&a&11\%&\\Female&46\%&b&\\Total&&&100\end{array}\right|

Now, from the first table

Total Number of Respondents =116

Therefore:

\dfrac{47}{116}*100 \approx 41\%\\\dfrac{13}{116}*100 \approx 11\%\\\dfrac{53}{116}*100 \approx 46\%\\\dfrac{3}{116}*100 \approx 3\%

Therefore:

a=41%

b=3%

The correct option is B.

4 0
3 years ago
Read 2 more answers
Write the following as an algebraic equation: Fifteen less than a number x is 6
kipiarov [429]

Answer:

x - 15 = 6

Step-by-step explanation:

Mark brainliest

7 0
3 years ago
How do you find the middle term of a perfect square trinomial?
Lyrx [107]

Answer:

Take the square root of the constant (number w/o the variable) and then multiply that by 2.

Step-by-step explanation:

A perfect square trinomial is something like this: x^{2} +6x+9. If I have 6x, and I want to find the last term I would take half a six and then square it to get 9.

SO.... To get the middle term of a perfect square trinomial, you would need to do the reverse.. So...

1) Take the square root of the constant...

2) Multiply that by 2

4 0
3 years ago
Consider the following equation of the form dy/dt = f(y)dy/dt = ey − 1, −[infinity] < y0 < [infinity](a) Sketch the graph
kotegsom [21]

Complete Question:

The complete question is shown on the first uploaded image

Answer:

a) The graph of  f(y) versus y. is shown on the second uploaded image

b) The critical point is at y = 0  and the solution is asymptotically unstable.

c)The phase line is shown on the third uploaded image

d) The sketch for the several graphs of solution in the ty-plane  is shown on the fourth uploaded image

Step-by-step explanation:

Step One: Sketch The Graph of  f(y) versus y

Looking at the given differential equation

       \frac{dy}{dt} = e^{y} - 1 for -∞ < y_{o} < ∞

 We can say let \frac{dy}{dt} = f(y) =e^{y} - 1

Now the dependent value is f(y) and the independent value is y so to sketch is graph we can assume a scale in this case i cm on the graph is equal to 2 unit for both f(y) and y and the match the coordinates and after that join the point to form the graph as shown on the uploaded image.

Step Two : Determine the critical point

   To fin the critical point we have to set   \frac{dy}{dt} = 0

       This means e^{y} - 1 = 0

                          For this to be possible e^{y} = 1

                          which means that  e^{y} = e^{0}

                          which implies that y = 0

Hence the critical point occurs at y = 0

meaning that the equilibrium solution is y = 0

As t → ∞, our curve is going to move away from y = 0  hence it is asymptotically unstable.

Step Three : Draw the Phase lines

A phase line can be defined as an image that shows or represents the way an ODE(ordinary differential equation ) that does not explicitly depend on the independent variable behaves in a single variable. To draw this phase line , draw the y-axis as a vertical line and mark on it the equilibrium, i.e. where  f(y) = 0.

In each of the intervals bounded  by the equilibrium draw an upward

pointing arrow if f(y) > 0 and a downward pointing arrow if f(y) < 0.

      This phase line would solely depend on y does not matter what t is

On the positive x axis it would get steeper very quickly as you move up (looking at the part A graph).

For  below the x-axis which stable (looking at the part a graph) we are still going to have negative slope but they are going to be close to 0 and they would take a little bit longer to get steeper  

Step Four : Draw a Solution Curve

A solution curve is a curve that shows the solution of a DE (deferential equation)

Here the solution curve would be drawn on the ty-plane

So the t-axis(x-axis) is its the equilibrium  that is it is the solution

If we are above the x-axis it is going to increase faster and if we are below it is going to decrease but it would be slower (looking at part A graph)

5 0
3 years ago
jordan has 90 photos.explain three ways he can arrange the photos in his album so he has the same number of photos on each page
erik [133]

Answer:

Divide the number of pages in the album by the 90 photos

Place one photo on a page at a time then start over when he reaches the end of the album and continue to repeat until all photos are gone

Just have one page of photos




Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
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