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2 years ago

How many possible outcomes exist when two fair coins are flipped and a three-section spinner is spun?

Mathematics

2 answers:

denis-greek [22]2 years ago

5 0

Answer:

Yeah, like the guy said the answer is 12. I just took it on edg.

Step-by-step explanation:

kodGreya [7K]2 years ago

4 0

Each coin can have the outcomes heads (H) or tails (T).
The spinner can have the outcomes 1, 2, 3.
The total number of outcomes is the product of the individual numbers of outcomes.
2 * 2 * 3 = 12

Here's a way of thinking about it:

The coins can have these four outcomes:
HH
HT
TH
TT
For each of the 4 outcomes of the two coins, there are 3 different outcomes of the spinner, so the total number of possible outcomes is 4 * 3 = 12.

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Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi

Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0

2 years ago

In the diagram, transversal t cuts across the parallel lines a and b. Match the pairs of angles with the relationship that shows

charle [14.2K]

we know that

case a) alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

case b) alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

case c) corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

case d) vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figure

5 0

2 years ago

The weight of a sack of potatoes was more than 11 pounds. Shana wants to write an inequality for the weight of the sack of potat

Salsk061 [2.6K]

P > 11.....ur constant is 11

6 0

2 years ago

Read 2 more answers

Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially contains 90 pounds of algae, how much al

eimsori [14]

If it doubles every 4 hours, in 12 hours you will have 3 doublings.
2 * 2 * 2 = 8
90*8 = 720 pounds of algae

7 0

2 years ago

A computer randomly selects a letter from the alphabet.

Nikolay [14]

1) 26 different outcomes are in the sample space.

2) 1 / 26 is the probability that the computer produces the first letter of your first name.

Step-by-step explanation:

1) You have to find out the different outcomes in the sample space :

A "Sample space" is defined as the set of all the possible outcomes of an event.
Here, the given event is randomly selecting a letter from the alphabets.

Therefore, the sample space must contain all the possible alphabets that can be chosen randomly.

The sample space is the set of all the 26 alphabets in English language.

⇒ Sample space = {A,B,C,D...........,Y,Z}

⇒ 26 different outcomes.

2) The probability the computer produces the first letter of your first name :

Here, the required outcome is getting the first letter of your first name.

Probability = No. of required outcomes / total no. of outcomes.

For example, The name Alex Davis has the first letter of the fist name as alphabet 'A'.

∴ Probability = 1 / 26

Similarly, for any first name there is going to be any one alphabet from the 26 alphabets, thus the probability to get the first letter will be always 1 / 26.

7 0

2 years ago