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
Mazyrski [523]
3 years ago
13

URGENT! When we solve (cos²x - 1 = 0) by adding and taking the square root, how come we get the same answer when we factor (cos²

x - 1) and use the zero product property to find the solution?
Mathematics
1 answer:
zysi [14]3 years ago
3 0

Answer:

It is the same answer because you still have the same x-1 and he exponent of 2. It doesn't matter about the zero unless you are trying to find the angle of a triangle.

Step-by-step explanation:

You might be interested in
⦁ In a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football. Construct a 95% confiden
fomenos

Answer:

95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

Step-by-step explanation:

We are given that in a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football.

Firstly, the pivotal quantity for 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is given by;

        P.Q. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } ~ N(0,1)

where, \hat p = proportion of adults in the United States whose favorite sport to watch is football in a sample of 1219 adults = \frac{354}{1219}

           n = sample of US adults  = 1291

           p = population proportion of adults

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5%

                                                    significance level are -1.96 & 1.96}

P(-1.96 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } < {\hat p-p} < 1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } ) = 0.95

P( \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } < p < \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } ) = 0.95

<u>95% confidence interval for p</u> = [ \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } , \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } ]

                         = [ \frac{354}{1219}-1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} } , \frac{354}{1219}+1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} } ]

                         = [0.265 , 0.316]

Therefore, 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

5 0
3 years ago
I NEED THE ANSWER ASAP PLEASE HELP!!
maksim [4K]
Answer:C


Explanation:none
8 0
3 years ago
I need to know the answer
Firdavs [7]
It would be 115



180-65 = 115 and 180 comes from the straight line which is half of 360
8 0
3 years ago
Read 2 more answers
118 + 560 is the same as<br> 100 +
Fed [463]

Answer:

578

Step-by-step explanation:

118

+560

answer:678

678-100=578

6 0
3 years ago
Read 2 more answers
Which statements are true? Check all that apply
xxTIMURxx [149]

Answer:

A,C,D

Step-by-step explanation:

Snap

Jona_Fl16

7 0
3 years ago
Other questions:
  • A pyramid fits exactly inside a cube. The cube and the pyramid share the same square base, and they are both exactly the same he
    8·1 answer
  • Use a net to find the surface area of the cereal box.
    9·1 answer
  • Thompson Alberts purchased a pack of 12 pencils for $4.99. What is the unit price per pencil rounded to the nearest tenth of a c
    5·2 answers
  • Please help I don’t understand.... I will give brainliest to first and I will thank you!
    7·1 answer
  • I need the answer and how you got it please <br> 3/5 divide by 3/4
    10·2 answers
  • Which number is the LARGEST? -5/6 -3/4 -2/3 -4/5​
    6·2 answers
  • Need a quick answer please
    13·1 answer
  • 70 PTS AND BRAINLlST , ASAP . question is in the picture and is also multiple choice only answer if you know your Correct , than
    14·2 answers
  • A ship is stationary at sea. A tugboat is 28 km away at a bearing of 315°, and a yacht is 21 km from the tugboat at a bearing of
    5·2 answers
  • Which graph shows the line of best fit for the data ?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!