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
professor190 [17]
3 years ago
5

Cos(x/3)cos(x/3)=1/2(1+cos(2x/3))

Mathematics
2 answers:
TEA [102]3 years ago
6 0
This follows from the half-angle identity for cosine.

\cos^2\theta=\dfrac{1+\cos2\theta}2
aleksklad [387]3 years ago
4 0

Answer:

it's true, don't have a step by step explanation just did it on my test.

Step-by-step explanation:

You might be interested in
Convert 3/11 to decimal equivalent using long division
sergey [27]
So simple... 3\ll=27\100 which equals 27.0 or 0.27
7 0
3 years ago
There are 42 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time
harkovskaia [24]

Answer:

A) 0.99413

B) 0.00022

Step-by-step explanation:

A) First of all let's find the total grading time from 6:50 P.M to 11:00 P.M.:

Total grading time; X = 11:00 - 6:50 = 4hours 10minutes = 250 minutes

Now since we are given an expected value of 5 minutes, the mean grading time for the whole population would be:

μ = n*μ_s ample = 42 × 5 = 210 minutes

While the standard deviation for the population would be:

σ = √nσ_sample = √(42 × 6) = 15.8745 minutes

To find the z-score, we will use the formula;

z = (x - μ)/σ

Thus;

z = (250 - 210)/15.8745

z = 2.52

From the z-distribution table attached, we have;

P(Z < 2.52) ≈ 0.99413

B) solving this is almost the same as in A above, the only difference is an additional 10 minutes to the time.

Thus, total time is now 250 + 10 = 260 minutes

Similar to the z-formula in A above, we have;

z = (260 - 210)/15.8745

z = 3.15

P(Z > 3.15) = 0.00022

5 0
3 years ago
Steph makes 90 % 90%90, percent of the free throws she attempts. She is going to shoot 3 33 free throws. Assume that the results
zmey [24]

Using the binomial distribution, it is found that there is a 0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

For each free throw, there are only two possible outcomes, either he makes it, or he misses it. The results of free throws are independent from each other, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • He makes 90% of the free throws, hence p = 0.9.
  • He is going to shoot 3 free throws, hence n = 3.

The probability that he makes exactly 1 is P(X = 1), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{3,1}.(0.9)^{1}.(0.1)^{2} = 0.027

0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

3 0
2 years ago
A number y is 6 less than twice a number
omeli [17]

Answer:

C

Step-by-step explanation:

blah blah blah blah blah blah

7 0
3 years ago
There are 325 rows of 9 chairs in the theater. There are 102 chairs in the the balcony. About how many chairs are there?
Lesechka [4]

Answer:

There are 3027 chairs

Step-by-step explanation:

There are 2925 chairs in the theater and 102 chairs in the balcony

all together are 3027

6 0
3 years ago
Read 2 more answers
Other questions:
  • 5. 2x+y=4<br> ty<br> 2<br> -20<br> 2<br> 2
    12·1 answer
  • I need help please ASAP i will mark branlist
    5·1 answer
  • Hampton ate 7 slices of fruit at lunch. After dinner, he ate
    8·1 answer
  • Instructions: Find the missing side lengths. Leave your answers as radicals in simplest<br> form.
    6·1 answer
  • Three students have started a fence-painting business. Working together, Pragnesh and Qazi can paint the fence in 2 hours. Simil
    5·1 answer
  • Which is the best way to use compatible numbers to estimate
    5·2 answers
  • 1. If Gallup, Harris and other pollsters asked people to indicate their political party affiliation as Democrat, Republican or I
    10·1 answer
  • What is the sample space for choosing 1 marble at random from a jar containing 5 red, 7 blue, and 2 green marbles?
    6·1 answer
  • Help I need the awnser asap
    11·1 answer
  • write an equation to solve and find the answer to the following rate problem. a garden store sells six plants per hour how many
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!