Find the distance between the two points rounding to the nearest tenth (if necessary).

Find the two smallest possible solutions to part 1a

bixtya [17]

<h3>Answer: A. 5/12, 25/12</h3>

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Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

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The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

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Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

7 0

2 years ago

Read 2 more answers

Send help 15 and 16 pls

lara [203]

Step-by-step explanation:

15. If f(x) = 20x, adding a $10 fee for cleaning would be

g(x) = 20x + 10

The graph of g(x) is shifted 10 units up from the graph of f(x).

16. f(x) = 2x + 1

g(x) = (2x + 1) + 5

h(x) = 3f(2x + 1)

g(x) shifted f(x) 5 units to the right.

h(x) is 3 times steeper than f(x).

If this is the correct answer, then please give it the brainliest.

5 0

2 years ago

In 10 years, a child’s age will be 6 years less than triple her current age. Find the child’s current age.

Pavel [41]

Answer:

Her current age is 8 years old.

Step-by-step explanation:

Current age: x

"In 10 years, a child’s age will be 6 years less than triple her current age."

In 10 years: <u>x + 10</u>

6 years less than triple: <em>3x - 6</em>

<em>solve.</em>

5 0

2 years ago

Assume that foot lengths of women are normally distributed with a mean of 9.6 in and a standard deviation of 0.5 in.a. Find the

Makovka662 [10]

Answer:

a) 78.81% probability that a randomly selected woman has a foot length less than 10.0 in.

b) 78.74% probability that a randomly selected woman has a foot length between 8.0 in and 10.0 in.

c) 2.28% probability that 25 women have foot lengths with a mean greater than 9.8 in.

Step-by-step explanation:

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 $\frac{\sigma}{\sqrt{n}}$ .

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 9.6, \sigma = 0.5$ .