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3 years ago

Create an expression that simplifies to sin x

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

Answer:

$2\cdot \sin 0.5x \cdot \cos 0.5x$

Step-by-step explanation:

Here is one example:

$2\cdot \sin 0.5x \cdot \cos 0.5x$

$\sin 0.5x \cdot \cos 0.5x + \cos 0.5x\cdot \sin 0.5x$

$\sin (0.5x + 0.5x)$

$\sin x$

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Landen spent L hours at the beach last weekend. Matéo spent 15% fewer hours at the beach than Landen did

fenix001 [56]

Answer: B, D, and E

0.85L

L-0.15L

L(1-0.15)

$L - \frac{15}{100}L$

$L - \frac{3}{20}L$

Step-by-step explanation:

L is the number of hours Landen spent at the beach. Mateo spent 15% less time. This means he spent 85% of it. So 0.85 times L. We can also calculate it by subtracting the difference between the two kids. - 15%. 15% is 0.15L or $\frac{15}{100}L$ . We subtract by L-0.15L or as $L - \frac{15}{100}L$ . This fraction can simplify to $L - \frac{3}{20}L$

4 0

3 years ago

Read 2 more answers

An Experienced ice skater spins on the ice, creating a perfect circle with a diameter of 4 feet. What is the circle's radius?

Fed [463]

Answer:

Step-by-step explanation:

the radius is half the diameter from the middle!

8 0

3 years ago

The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a m

castortr0y [4]

Answer:

a) 50.34% probability that the arrival time between customers will be 7 minutes or less.

b) 24.42% probability that the arrival time between customers will be between 3 and 7 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Mean of 10 minutes:

This means that $m = 10, \mu = \frac{1}{10} = 0.1$

A. What is the probability that the arrival time between customers will be 7 minutes or less?

$P(X \leq x) = 1 - e^{-\mu x}$

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

50.34% probability that the arrival time between customers will be 7 minutes or less.

B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3)$

$P(X \leq x) = 1 - e^{-\mu x}$

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

$P(X \leq 3) = 1 - e^{-0.1*3} = 0.2592$

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3) = 0.5034 - 0.2592 = 0.2442$

24.42% probability that the arrival time between customers will be between 3 and 7 minutes

3 0

3 years ago

What is the GCF for <br> 51, 85<br> and then<br> 40, 63

Alinara [238K]

Answer: 1

Step-by-step explanation:

5 0

4 years ago

Please find the domain and range!

SpyIntel [72]

Answer:

Domain: {-2, -3, 6, 8, 10}

Range: {-5, 1, 7, 9}

Step-by-step explanation:

Given:

{(6, -5), (-2, 9), (-3, 1), (10, 7), (8, 9)}

✔️Domain:

This includes all the set of the x-values that are in the relation. This includes, 6, -2, -3, 10, and 8.

Thus, the domain can be represented as:

{-2, -3, 6, 8, 10}

✔️Range:

This includes all corresponding y-values in the relation. They are, -5, 1, 7, and 9.

Range can be represented as:

{-5, 1, 7, 9}

3 0

3 years ago