1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eva8 [605]
3 years ago
6

Solve the equation!3 tan^3θ = tan θ

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0
3 tan³ t(theta) = tan t(theta)
3 tan³ t - tan t = 0
tan t ( 3 tan² t - 1 ) = 0
tan t = 0
t 1 = k π ,  k ∈ Z
3 tan ² t - 1 = 0
3 tan ² t = 1
tan ² t = 1/3
tan t = +/- √3/3
t 2 = π / 6 + k π
t 3 = - π / 6 + k π ,  k ∈ Z
You might be interested in
Suzanne gets 7% commission on all of her sales. If she makes a sale of $350,000, how much commission will she make?
sasho [114]

Answer:

$24,500 of commission

Step-by-step explanation:

350000*0.07 = 24,500

4 0
2 years ago
I don't know how to explain it
Lemur [1.5K]

Answer:

Sam's thinking was incorrect.

On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.

But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What number should be placed in the box to help complete the division calculation?
Tomtit [17]

Answer:

this goes there 850

Step-by-step explanation:

plus th anwser is 155 R0

6 0
3 years ago
Read 2 more answers
The results of a common standardized test used in psychology research is designed so that the population mean is 155 and the sta
galina1969 [7]

Answer:

The value <em>155</em> is zero standard deviations from the [population] mean, because \\ x = \mu, and therefore \\ z = 0.

Step-by-step explanation:

The key concept we need to manage here is the z-scores (or standardized values), and we can obtain a z-score using the next formula:

\\ z = \frac{x - \mu}{\sigma} [1]

Where

  • z is the <em>z-score</em>.
  • x is the <em>raw score</em>: an observation from the normally distributed data that we want <em>standardize</em> using [1].
  • \\ \mu is the <em>population mean</em>.
  • \\ \sigma is the <em>population standard deviation</em>.

Carefully looking at [1], we can interpret it as <em>the distance from the mean of a raw value in standard deviations units. </em>When the z-score is <em>negative </em>indicates that the raw score, <em>x</em>, is <em>below</em> the population mean, \\ \mu. Conversely, a <em>positive</em> z-score is telling us that <em>x</em> is <em>above</em> the population mean. A z-score is also fundamental when determining probabilities using the <em>standard normal distribution</em>.

For example, think about a z-score = 1. In this case, the raw score is, after being standardized using [1], <em>one standard deviation above</em> from the population mean. A z-score = -1 is also one standard deviation from the mean but <em>below</em> it.

These standardized values have always the same probability in the <em>standard normal distribution</em>, and this is the advantage of using it for calculating probabilities for normally distributed data.

A subject earns a score of 155. How many standard deviations from the mean is the value 155?

From the question, we know that:

  • x = 155.
  • \\ \mu = 155.
  • \\ \sigma = 50.

Having into account all the previous information, we can say that the raw score, <em>x = 155</em>, is <u><em>zero standard deviations units from the mean.</em></u> <u><em>The subject   earned a score that equals the population mean.</em></u> Then, using [1]:

\\ z = \frac{x - \mu}{\sigma}

\\ z = \frac{155 - 155}{50}

\\ z = \frac{0}{50}

\\ z = 0

As we say before, the z-score "tells us" the distance from the population mean, and in this case this value equals zero:  

\\ x = \mu

Therefore

\\ z = 0

So, the value 155 is zero standard deviations <em>from the [population] mean</em>.

5 0
3 years ago
​Anthony read 1/3 of a book every day for twelve days. How many books did he read altogether?
Anettt [7]

Answer:

Step-by-step explanation:

3/36

6 0
3 years ago
Other questions:
  • The mean life of a battery is 50 hours with a standard deviation of 6 hours. The
    6·1 answer
  • Two ice skaters started on opposite ends of a 200-foot-long rink and then skated toward each
    14·1 answer
  • The price of a pair of shoes is $52. This price is 15% lower than last week. What was the price of the shoes last week? Round yo
    10·2 answers
  • Amanda Vehicle has hired Jared Frost as its new president. Terms included the company’s agreeing to pay retirement benefits of $
    5·1 answer
  • Given that
    5·2 answers
  • Help me please i neeeeeeeeed to get this right
    9·2 answers
  • The sum of a number x and 5 equals 14.
    9·1 answer
  • I’m a lil confused...help??!?
    9·2 answers
  • A cylindrical stool has a base of diameter 70cm and height 25cm.find the cost of painting 50 such atools.,if the cost per m2 is
    7·1 answer
  • Please do all of them
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!