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
Mkey [24]
3 years ago
7

Find all solutions to the equation. 7 sin2x - 14 sin x + 2 = -5

Mathematics
2 answers:
ryzh [129]3 years ago
8 0
There it goes, by the bottom has the answer.
cestrela7 [59]3 years ago
7 0

\bf 7sin^2(x)-14sin(x)+2=-5\implies 7sin^2(x)-14sin(x)+7=0 \\\\\\ \stackrel{\textit{notice, this is just }ax^2+bx+c}{\stackrel{\stackrel{ax^2}{\downarrow }}{sin^2(x)}\stackrel{\stackrel{bx}{\downarrow }}{-2sin(x)}\stackrel{\stackrel{c}{\downarrow }}{+1}}=0\implies [sin(x)-1][sin(x)-1]=0 \\\\\\ sin(x)-1=0\implies sin(x)=1\implies \measuredangle x=sin^{-1}(1)\implies \measuredangle x=\cfrac{\pi }{2} \\\\\\ ~~~~~~~~~~~~~~\stackrel{\textit{and for all solutions using }n \in \mathbb{Z}}{\cfrac{\pi }{2}+2\pi n}

You might be interested in
A report on consumer financial literacy summarized data from a representative sample of 1,663 adult Americans. Based on data fro
Tom [10]

Answer:

a) 95% Confidence interval = (0.536, 0.584)

This means that we are 95% confident that between 53.6% and 58.4% of Americans would give themselves grade of A or B on their financial knowledge of personal finance.

b) The result of the 95% confidence interval agrees with the claim that majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance because the interval obtained for possible values that the population proportion of Americans that would give themselves a grade of A or B on their financial knowledge of personal finance lies completely on the side that is greater than a proportion of 0.50 which indicates that truly, majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = proportion of Americans in the sample that would give themselves grade of A or B on their financial knowledge of personal finance = p = (934/1663) = 0.56

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 1663 is obtained from the z-tables as the sample size is large enough for the sample properties to approximate the population properties.

Critical value = 1.960 (from the z-tables)

Standard error of the mean = σₓ = √[p(1-p)/n]

p = 0.56

n = sample size = 1663

σₓ = √[0.56×0.44/1663] = 0.0121723457 = 0.01217

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.56 ± (1.96 × 0.01217)

CI = 0.56 ± 0.0238532

95% CI = (0.5361468, 0.5838532)

95% Confidence interval = (0.536, 0.584)

b) The result of the 95% confidence interval agrees with the claim that majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance because the interval obtained for possible values that the population proportion of Americans that would give themselves a grade of A or B on their financial knowledge of personal finance lies completely on the side that is greater than a proportion of 0.50 which indicates that truly, majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance.

Hope this Helps!!!

5 0
3 years ago
Hello !!! please help me <3 will give brainle and 25 points please help !!!!
Hitman42 [59]

answer: 375

Step-by-step explanation:

panda bear caps: 25

they ordered 100 in total

25/100 = 1/4, a quarter

then you find a quarter of 1500

1500/4= 375

4 0
2 years ago
If f(x) = 4x^2 and g(x) = x+1, find (f.g)(x).
Mandarinka [93]

Answer:

4x^3 + 4x^2

Step-by-step explanation:

f(x) = 4x^2

g(x) = x + 1

=> (f.g)(x) = 4x^2*(x + 1) = 4x^3 + 4x^2

Hope this helps!

3 0
3 years ago
What is the greatest common factor of 18, 6, and 36?
Viktor [21]

Answer:

18 is the greatest common factor between those

3 0
2 years ago
Read 2 more answers
Which of the following is a right that's given to anyone who has a bank account
charle [14.2K]
The answer is <span>a. the right to be told what fees or minimum balances an account has</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • Find the interest due on $1,400 at 9% for 270 days. (Remember that for bank interest purposes, a year is considered to have 360
    8·1 answer
  • If marie wants to decorate a gift box with ribbon. She measures three pieces that she has with a ruler.They are 32. Centimeters,
    13·1 answer
  • Shelley sells 5 bone-shaped treats for $3.50. How much should she charge for a package of 12 treats?
    8·2 answers
  • Find the projection of the vector A = î - 2ġ + k on the vector B = 4 i - 4ſ + 7k. 15. Given the vectors A = 2 i +3 ſ +6k and B =
    8·1 answer
  • Please explain the steps to answer part A
    15·1 answer
  • Solve for answer (14x-5) (19x-13)
    8·1 answer
  • ARE these Good grades?
    10·1 answer
  • Please help me with this
    15·1 answer
  • Jeremiah opened a savings account with a one-time deposit of $500. His savings account will pay a 5% simple interest per year. H
    11·2 answers
  • Which measure of center (median or mean) best describes the following data about prices of
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!