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tangare [24]
3 years ago
12

11. Identify the properties below. a. 5 + 6 = 6 + 5 b. 7 + (3 + 9) = (7 + 9) + 3

Mathematics
1 answer:
jenyasd209 [6]3 years ago
5 0
A is commutative property
B is associative property
Explanation:
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John has a die and a coin. The die is labeled 1 through 6 and the two sides of the coin are heads and tails. The tables below sh
Alenkasestr [34]

Answer:

n = 60

Step-by-step explanation:

Total outcomes, while tossing a coin are 2, given as:

{Heads, Tails}

The probability of getting a heads up, while tossing the coin is:

P(Heads) = Favorable Outcome/Total Outcomes

P(Heads) = 1/2 = 0.5

Now, the total outcomes, while rolling a die are 6, given as:

{1, 2, 3, 4, 5, 6}

5 of these numbers are factors of 12, which are:

{1, 2, 3, 4, 6}

Thus, the probability of getting a factor of 12, while rolling a die is:

P(Factor of 12) = Favorable Outcome/Total Outcomes

P(Factor of 12) = 5/6 = 0.83

So, the probability of getting both heads and factor of 12 will be:

P(Heads and Factor of 12) = P(Heads ∪ Factor of 12)

P(Heads and Factor of 12) = P(Heads) * P(Factor of 12) = 0.5 * 0.83

P(Heads and Factor of 12) = 0.417 = 41.7%

So, for 144 trials, the number of trials in which we get heads and factor of 12, are given by:

n = P(Heads and Factor of 12) * 144

where,

n = no. of trials John would expect to roll a number on the die that is a factor of 12 and toss a coin that lands heads-up out of next 144 trials

n = 0.417 * 144

<u>n = 60</u>

7 0
3 years ago
Solve -np-80&lt;60 for n. Show your work.<br><br> Solve 2a-5d=30 for d. Show your work.
xz_007 [3.2K]

-np-80 < 60\qquad\text{change the signs}\\\\np+80

------------------------------------------------------

2a-5d=30\qquad\text{subtract 2a from both sides}\\\\-5d=-2a+30\qquad\text{change the signs}\\\\5d=2a-30\qquad\text{divide both sides by 5}\\\\d=0.4a-6

8 0
3 years ago
Simplify the radical completely.
AlladinOne [14]

Answer:

D

Step-by-step explanation:

\sqrt{300}  =  \sqrt{100 \times 3}  =  \sqrt{100}  \times  \sqrt{3}  = 10 \sqrt{3}

3 0
2 years ago
Which equation shows that the Pythagorean identity is true for 0 = 180 degrees? select the equation that is in the form sin^2 0+
elixir [45]

The equation in the form of the given expression is (0)² + (1)² = 1

<h3>Trigonometry identity</h3>

According to some of the trigonometry identity

sin 0 = 0

cos 0 1

Given the expression below

sin^2 0+cos^2 0=1

This can also be expressed as:

(sin0)² + (cos0)² = 1

Substitute

(0)² + (1)² = 1

Hence the equation in the form of the given expression is (0)² + (1)² = 1

Learn more on trig identity here: brainly.com/question/20094605

#SPJ1

8 0
2 years ago
Solve for t in scientific formula d=rt
yarga [219]
The problem is: d=rt
you are solving for r

d=rt
--  --
t    t


you divide both sides by r, so your answer is:

d/t=r or r=d/t

I hope this helped! :))
3 0
3 years ago
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