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madam [21]
3 years ago
15

Central limit theorem: Sample proportion

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0
Answers wiebsuwbsyjwvs he dustbdysfais he eibssavabsbsusv god blesses you
You might be interested in
The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i
Hunter-Best [27]

Answer:

(x+3)^2+(y+11)^2=121

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

  • Blue line is given by y = 4x + 1.
  • Point B is the center of the circle.
  • Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

(x-h)^2+(y-k)^2=r^2

then with h = -3, k = -11 and r= 11, the equation of our circle is

(x+3)^2+(y+11)^2=121

5 0
3 years ago
F. How many miles could be driven with 18 gallons of<br> gas?
3241004551 [841]

Answer:

21.5 or 26.8

Step-by-step explanation:

a car with a 18 gallon gas tank can average 21.5 miles per gallon when driven in the stop and go traffic of the city and 26.8 miles per gallon when driven on the highway

8 0
3 years ago
Please solve 5q+6=2q-2+q.
son4ous [18]

Answer:

q= -4

Step-by-step explanation:

5q + 6 = 2 q- 2 + q

Collect like terms and simplify

5q - 2q - q =  - 2 - 6 \\ 2q =  - 8

Divide both sides of the equation by 2

\frac{2q}{2}  =  \frac{ - 8}{2}  \\

Simplify

q =  - 4

4 0
3 years ago
Read 2 more answers
SOMEONE PLEASE HELP!! thank you :)
user100 [1]

Answer:

This is an arithmetic sequence with a common difference <em>d</em> of -9

Step-by-step explanation:

When you find out <em>d</em>, you realize the difference between the numbers to be -9. Since it is <em>d</em> and not common ratio <em>r</em>, it is an arithmetic sequence.

8 0
3 years ago
Read 2 more answers
What is the measure of angle x , rounded to the nearest hundredth?
rosijanka [135]

Answer:

The correct answer is option 1

23.96°

Step-by-step explanation:

Tan ∅ = Opposite side/Adjacent side

From the given figure we can see that it is a right angled triangle.

<u>To find the value of x </u>

Tan ∅ = Opposite side/Adjacent side

Opposite side = 4

Adjacent side = 9

Tan x = 4/9 = 0.4444

x = tan⁻¹ (0.4444) = 23.9624 ≈ 23.96°

Therefore the correct answer is first option.  

23.96°

5 0
3 years ago
Read 2 more answers
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