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
Oksi-84 [34.3K]
3 years ago
10

Write the product cos(2x)sin(5x) as a sum

Mathematics
1 answer:
ratelena [41]3 years ago
8 0
Come on now, check your book on the "product to sum" identities

\bf cos({{ \alpha}})sin({{ \beta}})=\cfrac{1}{2}[sin({{ \alpha}}+{{ \beta}})\quad -\quad sin({{ \alpha}}-{{ \beta}})]
You might be interested in
The National Institute of Standards and Technology (NIST) supplies "standard materials" whose physical properties are supposed t
Lady bird [3.3K]

Answer:

10.08-1.64\frac{0.1}{\sqrt{6}}=10.013    

10.08+1.64\frac{0.1}{\sqrt{6}}=10.147    

So on this case the 90% confidence interval would be given by (10.013;10.147)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma =0.1 represent the population standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=10.08

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Now we have everything in order to replace into formula (1):

10.08-1.64\frac{0.1}{\sqrt{6}}=10.013    

10.08+1.64\frac{0.1}{\sqrt{6}}=10.147    

So on this case the 90% confidence interval would be given by (10.013;10.147)    

5 0
3 years ago
Your friend says that 14.5% is equivalent to the decimal 14.5. explain why your friend is incorrect by comparing the fractional
adoni [48]
14.5% = 0.145 = 145/1000

14.5 = 14500/1000

So 14.5% is a hundredth the size of 14.5, so they are not equal and the friend is incorrect.
7 0
3 years ago
Sandy is ordering donuts for the cafeteria. She has a budget of $100. If each donut costs Sandy $0.15, and the donut shop charge
murzikaleks [220]

Answer:

0.15x + 30 ≤ 100

0.15x ≤ 70

Step-by-step explanation:

7 0
3 years ago
Someone please help me
earnstyle [38]

(22 + 15.50 + 2.75) 15

(22 * 15) + (15.50 * 15) + (2.75 * 15)

4 0
2 years ago
Help with math homework
Anestetic [448]
1) 65+57= 122
180-122= 58

2) 40+90=130
180-130=50

3) 130+20=150
180-150=30

4) 85+50= 135
180-135=45

Sorry, IDK the rest. So so sorry.
8 0
3 years ago
Other questions:
  • The triangle represents the part of a city that is closed to traffic for a parade. Each unit on the coordinate plane represents
    11·1 answer
  • What is the volume of a cube whose side length is 1.8 meters?
    6·1 answer
  • What is the surface area equation in terms of height​
    8·2 answers
  • The area of a rhombus is given by the formula A=1/2xy,where x and y are the lengths of the diagonals. If the diagonals of a rhom
    10·1 answer
  • A 16-fl oz bottle of juice cost 2.00 what is the unit cost
    5·2 answers
  • Silver washed her dresses. She ironed them in 40 minutes. If she can iron 2 dresses in 10 minutes, write the number of the dress
    10·1 answer
  • I don’t know what to do?
    7·1 answer
  • Answer choices are 9,-9,4,-4 for both spots PLEASE HELP FAST!!!
    14·1 answer
  • Free brainleist question<br><br> Whats (9+10) Times 15
    9·2 answers
  • HURRRY I HAVE 5 minutes! WILL GIVE BRAINLIEST
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!