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iren [92.7K]
3 years ago
13

05 What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in

this situation? Why or why not?
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0
Well the domain represents all the x values while range represents all the y values but i dont see a diagram so its would be diffcult a good example would be a parabola of a function like find domain of 1/x+2 to get domain set denominator eqaul to 0 since thats when a fraction is underfined when u do u get x cannot equal -2 thats the domain
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A veterinarian weighed a sample of 666 puppies. Here are each of their weights (in kilograms): 1, 2, 7, 7, 10, 151,2,7,7,10,151,
rjkz [21]

Answer:

The standard deviation of the weight, σ, is approximately 4.73 kg

Step-by-step explanation:

The weights of the six puppies are;

x_i = 1, 2, 7, 7, 10, and 15

The number of puppies, n = 6

Therefore, we have;

The mean = μ = ∑x/n = (1 + 2 + 7 + 7 + 10 + 15)/6 = 7

The standard deviation, σ, is given as follows;

\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu  \right )^{2} }{n}}

By substituting, we have;

\sigma =\sqrt{\dfrac{ \left (1-7  \right )^{2} + \left (2-7  \right )^{2} + \left (7-7  \right )^{2} + \left (7-7  \right )^{2} + \left (10-7  \right )^{2} + \left (15-7  \right )^{2} }{6}}

Simplifying gives;

\sigma =\sqrt{\dfrac{ \left (-6  \right )^{2} + \left (-5  \right )^{2} + \left (0  \right )^{2} + \left (0  \right )^{2} + \left (3 \right )^{2} + \left (8  \right )^{2} }{6}} =\sqrt{\dfrac{ 36 + 25 + 0 +0+ 9 + 64 }{6}}

\sigma =\sqrt{\dfrac{ 134 }{6}} = \sqrt{\dfrac{67}{3} } \approx 4.72582

The standard deviation of the weight, σ ≈ 4.73 kg to two decimal places.

4 0
3 years ago
Read 2 more answers
On a recent day, 8 euros were worth $11 and 32 euros were worth $44. Enter an equation of the form y = kx to show the relationsh
navik [9.2K]

Answer:

On a recent day, 8 euros were worth $11 and 40 euros were worth $55. Enter an equation of the form y = kx to show the relationship between the number of euros and the value in dollars. First solve k which is the slope so k = ( 55- 11) / ( 40 -8) = 1.375

 Y= 1.375x

Step-by-step explanation:

4 0
3 years ago
The area of a playground is 204 yd^2 the width of thr playground is 5 yd longer that its length what the length and the width of
morpeh [17]
W= width= L+5
L= length
Area= 204

Area= LW
204 square yards= LW
substitute w=L+5 for w
204= (L)(L+5)
204= L^2 + 5L
subtract 204 from both sides
0= L^2 + 5L - 204
factor
0= (L+17)(L-12)

0= L+17
-17= L

0= L-12
12 yards= L


WIDTH
Since the area cannot be a negative number, we'll use L=12 to find the width.

w=L+5
w=12+5
w=17 yards


CHECK:
204=(12)(17)
204=204


ANSWER: The length is 12 yards and the width is 17 yards.

Hope this helps! :)
6 0
4 years ago
What is the area of the shaded portion of the circle?
SOVA2 [1]

Answer:

The first option is the correct one, the area of the shaded portion of the circle is

[/tex](5 \pi -11.6)ft^2[/tex]

Step-by-step explanation:

Let us first consider the triangle + the shadow.

The full area of the circle is the radius squared times pi, so

A=(5 ft)^2 \cdot \pi \\25 ft^2 \cdot \pi

Since \frac{72^{\circ}}{360^{\circ}}=\frac{1}{5}, the area of the triangle + the shaded area is one fifth of the area of the whole circle, thus

A_1=\frac{1}{5}25 ft^2 \cdot \pi\\ =5 ft^2 \cdot \pi

If we want to know the area of the shaded part of the circle, we must subtract the area of the triangle from A_1.

The area of the triangle is given by

A_{triangle}=\frac{1}{2}\cdot (2.9+2.9)ft \cdot 4 ft\\= 11.6 ft^2

Thus the area of the shaded portion of the circle is

A_1-A_{triangle}=5 \pi ft^2-11.6ft^2\\= (5 \pi -11.6)ft^2

3 0
3 years ago
Is the graph increasing, decreasing, or constant where 8 10<br> 8<br> 8-<br> 4+<br> 2+<br> -2<br> -6<br> -8<br> -10
Lemur [1.5K]
Decreasing fore sure because the last four where decreasing so the going trend is going down ( decreasing )
Hope it helps
8 0
2 years ago
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