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inysia [295]
2 years ago
9

A six-sided number cube is rolled, and then a spinner with 5 equal sections labeled A through E IS spun

Mathematics
1 answer:
tatyana61 [14]2 years ago
7 0

Answer:

<u>4/15</u>

Step-by-step explanation:

<u>Sample Space (List of possible outcomes)</u>

  • 1A, 1B, 1C, 1D, 1E, 2A, 2B, 2C, 2D, 2E, 3A, 3B, 3C, 3D, 3E, 4A, 4B, 4C, 4D, 4E, 5A, 5B, 5C, 5D, 5E, 6A, 6B, 6C, 6D, 6E
  • Total outcomes = 6 x 5 = 30

<u>Conditions</u>

  • Number greater than 2
  • Vowel

<u>Space for Listed Outcomes (with conditions applied)</u>

  • 3A, 3E, 4A, 4E, 5A, 5E, 6A, 6E
  • Outcomes = 4 x 2 = 8

<u>Probability</u>

  • Listed outcomes / Total outcomes
  • 8/30
  • <u>4/15</u>
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Leokris [45]
The answer should be 18.6, just substitute x for 2 and y for 3 and solve using PEMDAS :)
6 0
3 years ago
Rico can walk 3 miles in the same amount of time that Donna can walk 2 miles. Rico walks at a rate 2 miles per hour faster than
tatyana61 [14]

Answer:

13

Step-by-step explanation:

Donna's Rate is R

Rico's Rate is R+2

\frac{R}{R+2}=\frac{2}{3}

Cross-Multiply

2(R+2)=32

2R+4=3R

4=R

Donna's Rate is R=4

Rico's Rate is R+2=6

\frac{6(130)}{60} = \frac{130}{10}=13

5 0
2 years ago
What is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2
satela [25.4K]

The value of c such that the line y = 2\cdot x + 3 is tangent to the parabola y = c\cdot x^{2} is -\frac{1}{3}.

If y = 2\cdot x + 3 is a line <em>tangent</em> to the parabola y = c\cdot x^{2}, then we must observe the following condition, that is, the slope of the line is equal to the <em>first</em> derivative of the parabola:

2\cdot c \cdot x = 2 (1)

Then, we have the following system of equations:

y = 2\cdot x + 3 (1)

y = c\cdot x^{2} (2)

c\cdot x = 1 (3)

Whose solution is shown below:

By (3):

c =\frac{1}{x}

(3) in (2):

y = x (4)

(4) in (1):

y = -3

x = -3

c = -\frac{1}{3}

The value of c such that the line y = 2\cdot x + 3 is tangent to the parabola y = c\cdot x^{2} is -\frac{1}{3}.

We kindly invite to check this question on tangent lines: brainly.com/question/13424370

3 0
2 years ago
The Philadelphia Museum of Art’s triangular pediment has the measurements shown in the diagram. What is the area?
kherson [118]

Answer:

420 ft^2

Step-by-step explanation:

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5 0
3 years ago
If f(x)=2x and g(x)= 1/x, what is the domain of (f*g) (x)
postnew [5]

Answer:

The domain of (f*g) (x) is the set of all real numbers; ( -∞, ∞)

Step-by-step explanation:

(f*g) (x) simply means we obtain the product of f(x) and g(x). We are given that;

f(x)=2x

g(x)= 1/x

(f*g) (x) = f(x) * g(x)

(f*g) (x) = 2x * 1/x = 2

This is a horizontal line defined everywhere on the real line. The domain of  (f*g) (x) is thus ( -∞, ∞)

7 0
3 years ago
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