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sergey [27]
3 years ago
7

In a random sample of 190 people, 151 said that they watched educational television. Find the 90% confidence interval of the tru

e proportion of people who watched educational television. Round intermediate answers to at least five decimal places. Round your final answers to at least three decimal places.
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
7 0

Answer:

(0.7465 , 0.8429 )

Step-by-step explanation:

Confidence Level - "P" values  

90% 1.645

Confidence Interval - "P" values  

(0.7465 , 0.8429 )  

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Jimmy invests $7,000 in an account that pays 3% interest compounded semi-annually. What is his balance after 8 years?
Bumek [7]

Answer:

$8882.9

Step-by-step explanation:

A=p(1+(r/n))^nt

Given:P=7000, r=(3÷100%)=0.03 , n=2, t=8

A = 7000(1+(.03/2))^(2×8)

A = 7000 (1+0.015)^16

A = 7000 × 1.015^16

A = $8882.9

7 0
3 years ago
Log(x-2)+log2=2logy<br>log(x-3y+3)=0​
In-s [12.5K]

Answer:

<h2>x = 4 and y = 2 or x = 10 and y = 4</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}\log(x-2)+\log2=2\log y&(1)\\\log(x-3y+3)=0&(2)\end{array}\right

===========================\\\text{DOMAIN:}\\\\x-2>0\to x>2\\y>0\\x-3y+3>0\to x-3y>-3\\=====================\\\\\text{We know:}\ \log_ab=c\iff a^c=b,\\\\\text{therefore}\ \log_ab=0\iff a^0=b\to b=1\\\\\text{From this we have}\\\\\log(x-3y+3)=0\iff x-3y+3=1\qquad\text{add}\ 3y\ \text{to both sides}\\\\x+3=3y+1\qquad\text{subtract 3 from both isdes}\\\\\boxed{x=3y-2}\qquad(*)\\\\\text{Substitute it to (1)}

\log(3y-2-2)+\log2=2\log(y)\qquad\text{use}\ \log_ab^n=n\log_ab\\\\\log(3y-4)+\log2=\log(y^2)\qquad\text{subtract}\ \log(y^2)\ \text{from both sides}\\\\\log(3y-4)+\log2-\log(y^2)=0\\\\\text{Use}\ \log_ab+\log_ac=\log_a(bc)\ \text{and}\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\log\dfrac{(3y-4)(2)}{y^2}=0\qquad\text{use}\ \log_ab=0\Rightarrow b=1\\\\\dfrac{(3y-4)(2)}{y^2}=1\iff y^2=(3y-4)(2)\\\\\text{Use the distributive property}\ a(b+c)=ab+ac

y^2=(3y)(2)+(-4)(2)\\\\y^2=6y-8\qquad\text{subtract}\ 6y\ \text{from both sides}\\\\y^2-6y=-8\qquad\text{add 8 to both sides}\\\\y^2-6y+8=0\\\\y^2-2y-4y+8=0\\\\y(y-2)-4(y-2)=0\\\\(y-2)(y-4)=0\iff y-2=0\ \vee\ y-4=0\\\\\boxed{y=2\ \vee\ y=4}\in D

\text{Put the values of}\ y\ \text{to }\ (*):\\\\\text{for}\ y=2:\\\\x=3(2)-2\\\\x=6-2\\\\\boxed{x=4}\in D\\\\\text{for}\ y=4:\\\\x=3(4)-2\\\\x=12-2\\\\\boxed{x=10}\in D

4 0
3 years ago
Light travels 1.08 x 10 9 kilometers in one hour. How far does it travel in 2 hours?
ozzi

The distance traveled by the light in 2 hours is 2.16×10⁹ km.

<h3 /><h3>Distance:</h3>

This is the total length of space between two points covered by an object. Distance has no regard for direction as it is termed a scalar quantity. The S.I unit of distance is meter(m).

To calculate the distance traveled by the light in 2 hours, first, we need to calculate the speed of the light.

Formula:

  • S = d/t................. equation 1

Where:

  • S = speed
  • d = distance travelled
  • t = time

From the question,

Given:

  • d = 1.08×10⁹ km
  • t = 1 hour

Therefore,

  • s = 1.08×10⁹/1
  • s = 1.08×10⁹ km/h

The distance traveled in 2 hours is

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  • d = 2.16×10⁹ km

Hence, the distance traveled by the light in 2 hours is 2.16×10⁹ km

Learn more about distance here: brainly.com/question/23848540

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2 years ago
Find the volume of this cone. <br><br> Round to the nearest tenth. <br><br> 10ft<br><br> 6ft
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Step-by-step explanation:

If radius = 6ft and height = 10 ft

volume of cone= (1/3)*pi*r^2*h

= (1*22*6*6*10)/3*7

(1*22*2*6*10)/7

3960/7

565.714

570ft

<h2><u>MARK ME AS BRAINLIST</u></h2>
3 0
2 years ago
Solve:
pav-90 [236]
The first ones b.........
6 0
3 years ago
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