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Juli2301 [7.4K]
3 years ago
15

A box contains marbles of five different colors: red, green, blue, yellow, and purple. there is an equal number of each color. a

ssign probabilities to each color in the sample space. (give your answers as fractions.)
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0
P(red) = 1/5     [that says "probability of getting red is one fifth"
P(green) = 1/5
P(blue) = 1/5
P(yellow) = 1/5
P(purple) = 1/5

The reason the fractions are all the same is that there are equal numbers of each color.  For example, if there were 7 marbles of each color, there would be a total of 35 marbles.

P(red) = 7/35 = 1/5
Similar for the other colors.
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Mark recorded the growth of a plant over 8 weeks. The equation y=0.2x+2 represents the height y, in inches, after x weeks.
bezimeni [28]

The statements could be true are:

The height of the plant after week 3 was about 2.6 inches. ⇒ A

The height of the plant after week 9 was about 3.8 inches. ⇒ C

Step-by-step explanation:

Mark recorded the growth of a plant over 8 weeks

The equation y = 0.2x + 2, represents the height y, in inches, after x weeks

From the equation

  • 0.2 represents the rate of increasing of the height of the plant per week
  • 2 represents the initial height of the plant

∵ y represents the height of the plant after x week

∴ x is the number of the weeks

∵ y = 0.2x + 2

∵ x = 3

- Substitute x in the equation by 3

∴ y = 0.2(3) + 2

∴ y = 0.6 + 2

∴ y = 2.6

∴ The height of the plant after 3 weeks is 2.6 inches

∵ x = 9

- substitute x by 9 in the equation

∴ y = 0.2(9) + 2

∴ y = 1.8 + 2

∴ y = 3.8

∴ The height of the plant after 9 weeks is 3.8 inches

The statements could be true are:

The height of the plant after week 3 was about 2.6 inches.

The height of the plant after week 9 was about 3.8 inches.

Learn more:

You can learn more about the linear equations in brainly.com/question/1284310

#LearnwithBrainly

5 0
3 years ago
g A window is being built and the bottom is a rectangle and the top is a semi-circle. If there is 12 meters of framing materials
photoshop1234 [79]

Answer:

Semicircle of radius of 1.6803 meters

Rectangle of dimensions 3.3606m x 1.6803m

Step-by-step explanation:

Let the radius of the semicircle on the top=r  

Let the height of the rectangle =h  

Since the semicircle is on top of the window, the width of the rectangular portion =Diameter of the Semicircle =2r

The Perimeter of the Window

=Length of the three sides on the rectangular portion + circumference of the semicircle

=h+h+2r+\pi r=2h+2r+\pi r=12

The area of the window is what we want to maximize.

Area of the Window=Area of Rectangle+Area of Semicircle

=2hr+\frac{\pi r^2}{2}

We are trying to Maximize A subject to 2h+2r+\pi r=12

2h+2r+\pi r=12\\h=6-r-\frac{\pi r}{2}

The first and second derivatives are,

Area, A(r)=2r(6-r-\frac{\pi r}{2})+\frac{\pi r^2}{2}}=12r-2r^2-\frac{\pi r^2}{2}

Taking the first and second derivatives

A'\left( r \right) = 12 - r\left( {4 + \pi } \right)\\A''\left( r \right) =  - 4 - \pi

From the two derivatives above, we see that the only critical point  of r

A'\left( r \right) = 12 - r\left( {4 + \pi } \right)=0

r = \frac{{12}}{{4 + \pi }} = 1.6803

Since the second derivative is a negative constant, the maximum area must occur at this point.

h=6-1.6803-\frac{\pi X1.6803}{2}=1.6803

So, for the maximum area the semicircle on top must have a radius of 1.6803 meters and the rectangle must have the dimensions 3.3606m x 1.6803m ( Recall, The other dimension of the window = 2r)

5 0
3 years ago
Does The TI-Nspire works just like the TI-84 ?
dimaraw [331]

Answer:

TI-Nspire models automatically detect most points of interest such as x and y-intercepts, maximum values, and minimum values when you are in trace mode. TI-84 Plus models require you to use a series of left and right bounds and guesses to find those same values.

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3 years ago
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OLEGan [10]
She needs 96 inches of lace because 4 x 24 is 96.
7 0
3 years ago
Matilda measures the perimeter of her bedroom to determine how many feet of border she needs to go around the tops of the walls.
guajiro [1.7K]

Answer:

Step-by-step explanation:

you need to show the answers

5 0
3 years ago
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