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1 year ago

Which equation has a solution of r = 1/3

Mathematics

2 answers:

sveta [45]1 year ago

8 0

Answer:

Step-by-step explanation:

2 2/3 + r = 3

r = 3 - 2 2/3

r = 1/3

r - 1 = 2/3

r = 1 2/3

3r = 1/3

r = 1/9

4r = 12

r = 3

Answer: A.

Lerok [7]1 year ago

7 0

Answer:

Step-by-step explanation:

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If it took Carlos an hour to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 miles

julia-pushkina [17]

Answer:

Option 2 is the correct answer.

Step-by-step explanation:

We know that

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2 years ago

If sin(A+B)=1/2 & sin(A-B)=1/3 find sin(2A)

timofeeve [1]

Answer:

sin(2A) = (2√2 + √3) / 6

Step-by-step explanation:

2A = (A+B) + (A−B)

sin(2A) = sin((A+B) + (A−B))

Angle sum formula:

sin(2A) = sin(A+B) cos(A−B) + sin(A−B) cos(A+B)

sin(2A) = 1/2 cos(A−B) + 1/3 cos(A+B)

Pythagorean identity:

sin(2A) = 1/2 √[1 − sin²(A−B)] + 1/3 √[1 − sin²(A+B)]

sin(2A) = 1/2 √(1 − 1/9) + 1/3 √(1 − 1/4)

sin(2A) = 1/2 √(8/9) + 1/3 √(3/4)

sin(2A) = 1/3 √2 + 1/6 √3

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2 years ago

In a large population of adults, the mean IQ is 112 with a standard deviation of 20. Suppose 200 adults are randomly selected fo

Snezhnost [94]

Answer:

(c)approximately Normal, mean 112, standard deviation 1.414.

Step-by-step explanation:

To solve this problem, we have to understand the Central Limit Theorem

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .