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
jekas [21]
3 years ago
6

A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property t

ax change. 25% of those who responded said they were in favor of the change. The company running the survey wants to construct a confidence interval estimating the proportion of all adults in the town who support the change. Which of the conditions for inference have been satisfied?
Mathematics
1 answer:
egoroff_w [7]3 years ago
8 0

Answer: Random condition

10% condition

Step-by-step explanation:

The conditions for inference that have been satisfied will be:

• Random condition: This has been satisfied since a random sample of 18 adults were taken from 1500 adults.

• 10% condition: Since 25% of those who responded said they were in favor of the change, then the 10% condition is satisfied.

You might be interested in
Uhm is this a function?
velikii [3]
Yea because every input has only one output
8 0
2 years ago
Read 2 more answers
A flower pot’s base has six sides that are all the same length. Each side measures x−6 units. The base’s perimeter is 78 units.
torisob [31]
6(x-6)=78
6x-36=78
6x-36+36=78+36
6x=114
6x÷6=114÷6
x=19
6 0
3 years ago
Read 2 more answers
Hi! I need help on #12 A, and B! Just kinda confused so if u could explain in a simple way that’d be great!
Vinvika [58]

Assume that the bank balance started at zero. Enter the income and outgo in chronological order: $300 - $50 - $75 + $225

Find the sum. This sum will represent the amount left in the account after the $225 deposit:

$250 - $75 + $225, or

$175 + $225 = $400 The final balance will be $400.

5 0
3 years ago
Read 2 more answers
Can someone help please
Jlenok [28]

1/2

plsss mark brainliestt

Step-by-step explanation:

3/6

1.5/3

5/2.5

5 0
3 years ago
CALCULUS - Find the values of in the interval (0,2pi) where the tangent line to the graph of y = sinxcosx is
Rufina [12.5K]

Answer:

\{\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\}

Step-by-step explanation:

We want to find the values between the interval (0, 2π) where the tangent line to the graph of y=sin(x)cos(x) is horizontal.

Since the tangent line is horizontal, this means that our derivative at those points are 0.

So, first, let's find the derivative of our function.

y=\sin(x)\cos(x)

Take the derivative of both sides with respect to x:

\frac{d}{dx}[y]=\frac{d}{dx}[\sin(x)\cos(x)]

We need to use the product rule:

(uv)'=u'v+uv'

So, differentiate:

y'=\frac{d}{dx}[\sin(x)]\cos(x)+\sin(x)\frac{d}{dx}[\cos(x)]

Evaluate:

y'=(\cos(x))(\cos(x))+\sin(x)(-\sin(x))

Simplify:

y'=\cos^2(x)-\sin^2(x)

Since our tangent line is horizontal, the slope is 0. So, substitute 0 for y':

0=\cos^2(x)-\sin^2(x)

Now, let's solve for x. First, we can use the difference of two squares to obtain:

0=(\cos(x)-\sin(x))(\cos(x)+\sin(x))

Zero Product Property:

0=\cos(x)-\sin(x)\text{ or } 0=\cos(x)+\sin(x)

Solve for each case.

Case 1:

0=\cos(x)-\sin(x)

Add sin(x) to both sides:

\cos(x)=\sin(x)

To solve this, we can use the unit circle.

Recall at what points cosine equals sine.

This only happens twice: at π/4 (45°) and at 5π/4 (225°).

At both of these points, both cosine and sine equals √2/2 and -√2/2.

And between the intervals 0 and 2π, these are the only two times that happens.

Case II:

We have:

0=\cos(x)+\sin(x)

Subtract sine from both sides:

\cos(x)=-\sin(x)

Again, we can use the unit circle. Recall when cosine is the opposite of sine.

Like the previous one, this also happens at the 45°. However, this times, it happens at 3π/4 and 7π/4.

At 3π/4, cosine is -√2/2, and sine is √2/2. If we divide by a negative, we will see that cos(x)=-sin(x).

At 7π/4, cosine is √2/2, and sine is -√2/2, thus making our equation true.

Therefore, our solution set is:

\{\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\}

And we're done!

Edit: Small Mistake :)

5 0
3 years ago
Other questions:
  • Help I’m sooo lost!!
    8·2 answers
  • A normal curve is ___________ about the mean. consequently, 50% of the total area under a normal distribution curve lies on the
    9·1 answer
  • Solve the equation using multiplication or division<br><br><br>-7y=28
    14·1 answer
  • What is 3y plus 5x=-15 written in slope-intercept form?
    10·2 answers
  • A right triangle is shown. The other 2 angles are 45 degrees. The length of the hypotenuse is unknown, and the lengths of the ot
    12·2 answers
  • What is the factors of 83
    6·2 answers
  • Find the area of the composite shape.
    11·2 answers
  • Calculate what is 365 {365- (365: (365+365)}}?
    14·1 answer
  • Someone help me plz:
    14·1 answer
  • Which letter has point symmetry?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!